/// <summary>
/// Get the velocity of the curve for the t value
/// </summary>
/// <param name="t">value</param>
/// <returns></returns>
public Vector3 GetVelocity(float t)
{
return(transform.TransformPoint(Bezier.GetFirstDerivative(points[0], points[1], points[2], points[3], t)) - transform.position);
}
/// <summary>
/// Get the point in the curve corresponding to the t value.
/// </summary>
/// <param name="t">value</param>
/// <returns></returns>
public Vector3 GetPoint(float t)
{
return(transform.TransformPoint(Bezier.GetPoint(points[0], points[1], points[2], points[3], t)));
}
public List <Vector3> CalculateEvenlySpacedPoints(float spacing, float resolution = 1, int startCurve = 0, int endCurve = -1)
{
if (endCurve == -1)
{
endCurve = CurveCount;
}
if (endCurve < startCurve)
{
throw new Exception("endCurve value can't be smaller than startCurve");
}
if (startCurve > CurveCount)
{
throw new Exception("startCurve is bigger than curvecount");
}
int numControlPoints = (endCurve - startCurve) * 3 + 1;
if (controlPoints.Capacity < numControlPoints)
{
controlPoints = new List <Vector3>(numControlPoints);
}
for (int i = 0; i < numControlPoints; ++i)
{
controlPoints.Add(GetControlPoint(i + startCurve * 3));
}
float estimatedSplineLength = 0;
int numCurves = endCurve - startCurve;
if (curveLengths.Capacity < numCurves)
{
curveLengths = new List <float>(numCurves);
}
// Calculate estimatedSplinelength
for (int i = 0; i < controlPoints.Count - 1; i += 3)
{
Vector3 p0 = controlPoints[i],
p1 = controlPoints[i + 1],
p2 = controlPoints[i + 2],
p3 = controlPoints[i + 3];
float chord = Vector3.Distance(p0, p3);
float controlNetLength = Vector3.Distance(p0, p1) + Vector3.Distance(p1, p2) + Vector3.Distance(p2, p3);
float estimatedCurveLength = (chord + controlNetLength) / 2f;
curveLengths.Add(estimatedCurveLength);
estimatedSplineLength += estimatedCurveLength;
}
#region EvenlySpacedPoints declaration
if (EvenlySpacedPoints == null || EvenlySpacedPoints.Capacity < Mathf.RoundToInt(estimatedSplineLength / spacing))
{
EvenlySpacedPoints = new List <Vector3>(Mathf.RoundToInt(estimatedSplineLength / spacing));
}
EvenlySpacedPoints.Clear();
EvenlySpacedPoints.Add(points[startCurve * 3]);
Vector3 previousPoint = points[startCurve * 3];
#endregion
float distanceSinceLastEvenPoint = 0;
for (int i = 0; i < curveLengths.Count; ++i)
{
int j = i * 3;
int divisions = Mathf.CeilToInt(curveLengths[i] * resolution * 10);
float t = 0;
while (t <= 1)
{
t += 1f / divisions;
Vector3 pointOnCurve = Bezier.GetPoint(controlPoints[j], controlPoints[j + 1], controlPoints[j + 2], controlPoints[j + 3], t);
distanceSinceLastEvenPoint += Vector3.Distance(previousPoint, pointOnCurve);
Vector3 normalizedDir = (previousPoint - pointOnCurve).normalized;
while (distanceSinceLastEvenPoint >= spacing)
{
float overshootDistance = distanceSinceLastEvenPoint - spacing;
Vector3 newEvenlySpacedPoint = pointOnCurve + normalizedDir * overshootDistance;
EvenlySpacedPoints.Add(newEvenlySpacedPoint);
distanceSinceLastEvenPoint = overshootDistance;
previousPoint = newEvenlySpacedPoint;
}
previousPoint = pointOnCurve;
}
}
curveLengths.Clear();
controlPoints.Clear();
return(EvenlySpacedPoints);
}
public void setPoints( Vector3[] pts_, Quaternion[] rots )
{
if(pts_.Length<4)
Debug.LogError( "LeanTween - When passing values for a vector path, you must pass four or more values!" );
if(pts_.Length%4!=0)
Debug.LogError( "LeanTween - When passing values for a vector path, they must be in sets of four: controlPoint1, controlPoint2, endPoint2, controlPoint2, controlPoint2..." );
pts = pts_;
int k = 0;
beziers = new Bezier[ pts.Length / 4 ];
lengthRatio = new float[ beziers.Length ];
int i;
length = 0;
for(i = 0; i < pts.Length; i+=4){
beziers[k] = new Bezier(pts[i+0],pts[i+2],pts[i+1],pts[i+3],0.05f, rots[i/4], rots[i/4+1]);
length += beziers[k].length;
k++;
}
// Debug.Log("beziers.Length:"+beziers.Length + " beziers:"+beziers);
for(i = 0; i < beziers.Length; i++){
lengthRatio[i] = beziers[i].length / length;
}
}
/// <summary>
/// 绘制画布事件
/// </summary>
/// <param name="sender"></param>
/// <param name="e"></param>
private void pictureBox1_Paint(object sender, PaintEventArgs e)
{
///鼠标位置输出
label1.Text = "( " + poiCursor.X + ", " + poiCursor.Y + ") pixel";
///鼠标位置被引力场捕获，绘制引力场
if (isGravitationCaptured != -1)
{
Graphics g = e.Graphics;
if (isGravitationCaptured == madeBezierList.Count())
{
///当前是被 inputList 吸引
///显示该点的引力场
g.DrawEllipse(new Pen(Color.Yellow), poiGravitation.X - myStatic.poi2poiDistMin, poiGravitation.Y - myStatic.poi2poiDistMin, myStatic.poi2poiDistMin * 2, myStatic.poi2poiDistMin * 2);
g.FillRectangle(new SolidBrush(Color.Yellow), inputPoiList[CatchID].X - 2, inputPoiList[CatchID].Y - 2, 4, 4);
}
else
{
///被 madeBezierList[isGravitationCaptured] 吸引
///可能是被点或边捕获
if (CatchID < madeBezierList[isGravitationCaptured].P.poiList.Count())
{
///被点捕获，显示点的引力场
g.DrawEllipse(new Pen(Color.Yellow), poiGravitation.X - myStatic.poi2poiDistMin, poiGravitation.Y - myStatic.poi2poiDistMin, myStatic.poi2poiDistMin * 2, myStatic.poi2poiDistMin * 2);
}
else
{
///被边捕获，显示边的引力场，画一个矩形+俩圆
int cou = CatchID - madeBezierList[isGravitationCaptured].P.poiList.Count();
Edge edge = new Edge(madeBezierList[isGravitationCaptured].P.poiList[cou], madeBezierList[isGravitationCaptured].P.poiList[cou + 1]);
///竖直的线段
if (edge.poi1.X == edge.poi2.X)
{
if (edge.poi1.Y > edge.poi2.Y)
{
g.DrawLine(new Pen(Color.Yellow), edge.poi1.X - myStatic.poi2edgeDistMin, edge.poi1.Y + myStatic.poi2edgeDistMin, edge.poi1.X + myStatic.poi2edgeDistMin, edge.poi1.Y + myStatic.poi2edgeDistMin);
g.DrawLine(new Pen(Color.Yellow), edge.poi1.X + myStatic.poi2edgeDistMin, edge.poi1.Y + myStatic.poi2edgeDistMin, edge.poi2.X + myStatic.poi2edgeDistMin, edge.poi2.Y - myStatic.poi2edgeDistMin);
g.DrawLine(new Pen(Color.Yellow), edge.poi2.X + myStatic.poi2edgeDistMin, edge.poi2.Y - myStatic.poi2edgeDistMin, edge.poi2.X - myStatic.poi2edgeDistMin, edge.poi2.Y - myStatic.poi2edgeDistMin);
g.DrawLine(new Pen(Color.Yellow), edge.poi2.X - myStatic.poi2edgeDistMin, edge.poi2.Y - myStatic.poi2edgeDistMin, edge.poi1.X - myStatic.poi2edgeDistMin, edge.poi1.Y + myStatic.poi2edgeDistMin);
}
else
{
g.DrawLine(new Pen(Color.Yellow), edge.poi1.X - myStatic.poi2edgeDistMin, edge.poi1.Y - myStatic.poi2edgeDistMin, edge.poi1.X + myStatic.poi2edgeDistMin, edge.poi1.Y - myStatic.poi2edgeDistMin);
g.DrawLine(new Pen(Color.Yellow), edge.poi1.X + myStatic.poi2edgeDistMin, edge.poi1.Y - myStatic.poi2edgeDistMin, edge.poi2.X + myStatic.poi2edgeDistMin, edge.poi2.Y + myStatic.poi2edgeDistMin);
g.DrawLine(new Pen(Color.Yellow), edge.poi2.X + myStatic.poi2edgeDistMin, edge.poi2.Y + myStatic.poi2edgeDistMin, edge.poi2.X - myStatic.poi2edgeDistMin, edge.poi2.Y + myStatic.poi2edgeDistMin);
g.DrawLine(new Pen(Color.Yellow), edge.poi2.X - myStatic.poi2edgeDistMin, edge.poi2.Y + myStatic.poi2edgeDistMin, edge.poi1.X - myStatic.poi2edgeDistMin, edge.poi1.Y - myStatic.poi2edgeDistMin);
}
}
//水平的线段
else if (edge.poi1.Y == edge.poi2.Y)
{
if (edge.poi1.X > edge.poi2.X)
{
g.DrawLine(new Pen(Color.Yellow), edge.poi1.X + myStatic.poi2edgeDistMin, edge.poi1.Y + myStatic.poi2edgeDistMin, edge.poi1.X + myStatic.poi2edgeDistMin, edge.poi1.Y - myStatic.poi2edgeDistMin);
g.DrawLine(new Pen(Color.Yellow), edge.poi1.X + myStatic.poi2edgeDistMin, edge.poi1.Y - myStatic.poi2edgeDistMin, edge.poi2.X - myStatic.poi2edgeDistMin, edge.poi2.Y - myStatic.poi2edgeDistMin);
g.DrawLine(new Pen(Color.Yellow), edge.poi2.X - myStatic.poi2edgeDistMin, edge.poi2.Y - myStatic.poi2edgeDistMin, edge.poi2.X - myStatic.poi2edgeDistMin, edge.poi2.Y + myStatic.poi2edgeDistMin);
g.DrawLine(new Pen(Color.Yellow), edge.poi2.X - myStatic.poi2edgeDistMin, edge.poi2.Y + myStatic.poi2edgeDistMin, edge.poi1.X + myStatic.poi2edgeDistMin, edge.poi1.Y + myStatic.poi2edgeDistMin);
}
else
{
g.DrawLine(new Pen(Color.Yellow), edge.poi1.X - myStatic.poi2edgeDistMin, edge.poi1.Y + myStatic.poi2edgeDistMin, edge.poi1.X - myStatic.poi2edgeDistMin, edge.poi1.Y - myStatic.poi2edgeDistMin);
g.DrawLine(new Pen(Color.Yellow), edge.poi1.X - myStatic.poi2edgeDistMin, edge.poi1.Y - myStatic.poi2edgeDistMin, edge.poi2.X + myStatic.poi2edgeDistMin, edge.poi2.Y - myStatic.poi2edgeDistMin);
g.DrawLine(new Pen(Color.Yellow), edge.poi2.X + myStatic.poi2edgeDistMin, edge.poi2.Y - myStatic.poi2edgeDistMin, edge.poi2.X + myStatic.poi2edgeDistMin, edge.poi2.Y + myStatic.poi2edgeDistMin);
g.DrawLine(new Pen(Color.Yellow), edge.poi2.X + myStatic.poi2edgeDistMin, edge.poi2.Y + myStatic.poi2edgeDistMin, edge.poi1.X - myStatic.poi2edgeDistMin, edge.poi1.Y + myStatic.poi2edgeDistMin);
}
}
///倾斜的线段
else
{
///边的缓冲区边界
g.DrawLine(new Pen(Color.Yellow, myStatic.poi2edgeDistMin * 2), edge.poi1, edge.poi2);
g.DrawLine(new Pen(Color.White, (myStatic.poi2edgeDistMin - 1) * 2), edge.poi1, edge.poi2);
///端点的缓冲区边界
///端点的缓冲区用的是边的引力大小
g.DrawEllipse(new Pen(Color.Yellow), edge.poi1.X - myStatic.poi2edgeDistMin, edge.poi1.Y - myStatic.poi2edgeDistMin, myStatic.poi2edgeDistMin * 2, myStatic.poi2edgeDistMin * 2);
g.DrawEllipse(new Pen(Color.Yellow), edge.poi2.X - myStatic.poi2edgeDistMin, edge.poi2.Y - myStatic.poi2edgeDistMin, myStatic.poi2edgeDistMin * 2, myStatic.poi2edgeDistMin * 2);
}
}
}
}
///绘制已完成贝塞尔曲线对象
if (madeBezierList.Count() != 0)
{
foreach (Bezier bezier in madeBezierList)
{
if (isBorderVisible)
{
bezier.P.drawMyself(e, Color.Black);
}
bezier.drawMyself(e, Color.Blue);
}
}
///绘制当前绘制中的图形
if (!isDrawFinished)
{
Bezier bezierTemp = new Bezier(new Polyline(inputPoiList));
if (isBorderVisible)
{
bezierTemp.P.drawMyself(e, poiCursor);
}
bezierTemp.drawMyself(e, Color.Blue);
}
///若有选中正在拖动，叠加显示
if (isCheck)
{
Graphics g = e.Graphics;
///选中的是点
///绘制一个巨大的圆形，大小是点的引力场大小
if (CatchID < madeBezierList[isGravitationCaptured].P.poiList.Count())
{
g.FillEllipse(new SolidBrush(Color.LightGreen), madeBezierList[isGravitationCaptured].P.poiList[CatchID].X - myStatic.poi2poiDistMin, madeBezierList[isGravitationCaptured].P.poiList[CatchID].Y - myStatic.poi2poiDistMin, myStatic.poi2poiDistMin * 2, myStatic.poi2poiDistMin * 2);
}
///选中边
///被选中的贝塞尔曲线的控制多边形变色
else
{
madeBezierList[isGravitationCaptured].P.drawMyself(e, Color.LightGreen);
}
}
}