/// <summary>
/// ベジエ曲線の長さを得る
/// </summary>
/// <param name="bcp1">一つ目のベジエ頂点</param>
/// <param name="bcp2">二つ目のベジエ頂点</param>
/// <returns></returns>
public static float GetBezeierLength(BezierControlPoint bcp1, BezierControlPoint bcp2)
{
if (bcp1.ValidThird)
{
if (!bcp2.ValidFirst)
{
//second bezier
return(GetBezeierLength(bcp1.Second, bcp1.Third, bcp2.Second, bcp2.Second));
}
else
{
//third bezier
return(GetBezeierLength(bcp1.Second, bcp1.Third, bcp2.First, bcp2.Second));
}
}
else
{
if (!bcp2.ValidFirst)
{
//first bezier
return(GetLength(new PointF(bcp1.Second.X - bcp2.Second.X, bcp1.Second.Y - bcp2.Second.Y)));
}
else
{
//second bezier
return(GetBezeierLength(bcp1.Second, bcp1.Second, bcp2.First, bcp2.Second));
}
}
}
/// <summary>
/// 指定された割合分割されたベジエを得るメソッド
/// </summary>
/// <param name="num">最大、最小はMaxRatio,MinRatioから</param>
/// <param name="bcps1">分割１</param>
/// <param name="bcps2">分割２</param>
public void GetDevidedBeziers(float num, out BezierControlPoint[] bcps1, out BezierControlPoint[] bcps2)
{
bcps1 = null;
bcps2 = null;
if (bcps == null || bcps.Length == 0)
{
return;
}
if (num < MinRatio)
{
num = MinRatio;
}
else if (num > MaxRatio)
{
num = MaxRatio;
}
//find where
float sumnum = 0;
float rest = 0;
BezierControlPoint previous = null, next = null;
int foundindex = -1;
for (int i = 0; i < bcps.Length; i++)
{
BezierControlPoint bcp = bcps[i];
if (previous != null)
{
float ratio = eachlength[i - 1] / length * MaxRatio;
if (sumnum + ratio >= num || (sumnum + ratio) >= MaxRatio - 0.0009765625)
{
next = bcp;
rest = num - sumnum;
foundindex = i;
break;
}
sumnum += ratio;
}
previous = bcp;
}
if (foundindex != -1)
{
float targetratio = 1 - rest / MaxRatio * length / eachlength[foundindex - 1];
BezierCaliculate.GetDevidedBeziers(previous, next, targetratio, out BezierControlPoint bcp1, out BezierControlPoint bcp2, out BezierControlPoint bcp3);
bcps1 = new BezierControlPoint[foundindex + 1];
bcps2 = new BezierControlPoint[BCPS.Length - foundindex + 1];
for (int i = 0; i < foundindex - 1; i++)
{
bcps1[i] = BCPS[i].Clone();
}
bcps1[foundindex - 1] = bcp1;
bcps1[foundindex] = bcp2.Clone();
bcps2[0] = bcp2;
bcps2[1] = bcp3;
for (int i = foundindex + 1; i < BCPS.Length; i++)
{
bcps2[i - foundindex + 1] = BCPS[i].Clone();
}
return;
}
}
private void Analyze()
{
eachlength = new float[bcps.Length - 1];
BezierControlPoint previous = null;
for (int i = 0; i < bcps.Length; i++)
{
BezierControlPoint bcp = bcps[i];
if (previous != null)
{
eachlength[i - 1] += BezierCaliculate.GetBezeierLength(previous, bcp);
length += eachlength[i - 1];
}
previous = bcp;
}
}
/// <summary>
/// クローンメソッド
/// </summary>
/// <returns></returns>
public BezierControlPoint Clone()
{
var bcp = new BezierControlPoint
{
FirstDirection = FirstDirection,
FirstLength = FirstLength,
Second = Second,
ThirdDirection = ThirdDirection,
ThirdLength = ThirdLength,
ValidFirst = ValidFirst,
ValidSecond = ValidSecond,
ValidThird = ValidThird
};
return(bcp);
}
/// <summary>
/// 連結ベジエから特定の割合の場所を得るメソッド
/// </summary>
/// <param name="num">最大、最小はMaxRatio,MinRatioから</param>
/// <param name="direction">位置</param>
/// <param name="pos">向き</param>
/// <returns></returns>
public void GetPoint(float num, out PointF pos, out PointF direction)
{
pos = PointF.Empty;
direction = new PointF(1, 0);
if (bcps == null || bcps.Length == 0)
{
return;
}
if (num < MinRatio)
{
num = MinRatio;
}
else if (num > MaxRatio)
{
num = MaxRatio;
}
//find where
float sumnum = 0;
float rest = 0;
BezierControlPoint previous = null, next = null;
int foundindex = -1;
for (int i = 0; i < bcps.Length; i++)
{
BezierControlPoint bcp = bcps[i];
if (previous != null)
{
float ratio = eachlength[i - 1] / length * MaxRatio;
if (sumnum + ratio >= num || (sumnum + ratio) >= MaxRatio - 0.0009765625)
{
next = bcp;
rest = num - sumnum;
foundindex = i;
break;
}
sumnum += ratio;
}
previous = bcp;
}
if (foundindex != -1)
{
float targetlength = length * rest / MaxRatio;
BezierCaliculate.GetBezeirSplitPoint(previous, next, targetlength, out pos, out direction);
return;
}
}
/// <summary>
/// 分割されたベジエを得る
/// </summary>
/// <param name="bcp1">ベジエ頂点１</param>
/// <param name="bcp2">ベジエ頂点２</param>
/// <param name="t">割合(0~1)</param>
/// <param name="obcp1">出力ベジエ頂点１</param>
/// <param name="obcp2">出力ベジエ頂点２</param>
/// <param name="obcp3">出力ベジエ頂点３</param>
public static void GetDevidedBeziers(BezierControlPoint bcp1, BezierControlPoint bcp2, float t, out BezierControlPoint obcp1, out BezierControlPoint obcp2, out BezierControlPoint obcp3)
{
PointF p1, p2, p3, p4;
p1 = bcp1.Second;
if (bcp1.ValidThird)
{
p2 = bcp1.Third;
}
else
{
p2 = bcp1.Second;
}
if (bcp2.ValidFirst)
{
p3 = bcp2.First;
}
else
{
p3 = bcp2.Second;
}
p4 = bcp2.Second;
GetFivePoint(p1, p2, p3, p4, out PointF outp1, out PointF outp2, out PointF outp3, out PointF outp4, out PointF outp5, t);
obcp1 = bcp1.Clone();
obcp2 = new BezierControlPoint();
obcp3 = bcp2.Clone();
if (obcp1.ValidThird)
{
obcp1.Third = outp1;
}
obcp2.Second = outp3;
obcp2.First = outp2;
obcp2.Third = outp4;
obcp2.ValidFirst = true;
obcp2.ValidThird = true;
if (obcp3.ValidFirst)
{
obcp3.First = outp5;
}
}
/// <summary>
/// ベジエ曲線を囲む部分を得る
/// </summary>
/// <param name="bcp1">ベジエ頂点１</param>
/// <param name="bcp2">ベジエ頂点２</param>
/// <param name="minx">最小のx</param>
/// <param name="maxx">最大のx</param>
/// <param name="miny">最小のy</param>
/// <param name="maxy">最大のy</param>
public static void GetArea(BezierControlPoint bcp1, BezierControlPoint bcp2, out float minx, out float maxx, out float miny, out float maxy)
{
if (bcp1.ValidThird)
{
if (!bcp2.ValidFirst)
{
//second bezier
GetArea(bcp1.Second, bcp1.Third, bcp2.Second, bcp2.Second, out minx, out maxx, out miny, out maxy);
return;
}
else
{
//third bezier
GetArea(bcp1.Second, bcp1.Third, bcp2.First, bcp2.Second, out minx, out maxx, out miny, out maxy);
return;
}
}
else
{
if (!bcp2.ValidFirst)
{
//first bezier
maxx = Math.Max(bcp1.Second.X, bcp2.Second.X);
minx = Math.Min(bcp1.Second.X, bcp2.Second.X);
maxy = Math.Max(bcp1.Second.Y, bcp2.Second.Y);
miny = Math.Min(bcp1.Second.Y, bcp2.Second.Y);
return;
}
else
{
//second bezier
GetArea(bcp1.Second, bcp1.Second, bcp2.First, bcp2.Second, out minx, out maxx, out miny, out maxy);
return;
}
}
}
/// <summary>
/// ベジエ頂点の分割位置と角度を得る
/// </summary>
/// <param name="bcp1">ベジエ頂点１</param>
/// <param name="bcp2">ベジエ頂点２</param>
/// <param name="length">欲しい長さ</param>
/// <param name="pos">位置</param>
/// <param name="direction">向き</param>
public static void GetBezeirSplitPoint(BezierControlPoint bcp1, BezierControlPoint bcp2, float length, out PointF pos, out PointF direction)
{
if (bcp1.ValidThird)
{
if (!bcp2.ValidFirst)
{
//second bezier
GetBezeirSplitPoint(bcp1.Second, bcp1.Third, bcp2.Second, bcp2.Second, length, out pos, out direction);
return;
}
else
{
//third bezier
GetBezeirSplitPoint(bcp1.Second, bcp1.Third, bcp2.First, bcp2.Second, length, out pos, out direction);
return;
}
}
else
{
if (!bcp2.ValidFirst)
{
//first bezier
var nv = GetNormalizePoint(new PointF(bcp2.Second.X - bcp1.Second.X, bcp2.Second.Y - bcp1.Second.Y));
var vec = new PointF(nv.X * length, nv.Y * length);
pos = new PointF(bcp1.Second.X + vec.X, bcp1.Second.Y + vec.Y);
direction = nv;
return;
}
else
{
//second bezier
GetBezeirSplitPoint(bcp1.Second, bcp1.Second, bcp2.First, bcp2.Second, length, out pos, out direction);
return;
}
}
}
/// <summary>
/// デシリアライズメソッド
/// </summary>
/// <param name="str"></param>
/// <returns></returns>
public static BezierControlPoint Deserialize(string str)
{
var ret = new BezierControlPoint();
var fd = new PointF(1, 0);
var sec = new PointF(0, 0);
var td = new PointF(1, 0);
foreach (string st in str.Split(' '))
{
var content = st.Split('=');
if (content.Length != 2)
{
throw new ArgumentException("Incorrect Format:" + st);
}
switch (content[0])
{
case "VF":
ret.ValidFirst = content[1] == "1";
break;
case "VS":
ret.ValidSecond = content[1] == "1";
break;
case "VT":
ret.ValidThird = content[1] == "1";
break;
case "FDX":
fd.X = float.Parse(content[1], CultureInfo.InvariantCulture);
break;
case "FDY":
fd.Y = float.Parse(content[1], CultureInfo.InvariantCulture);
break;
case "SX":
sec.X = float.Parse(content[1], CultureInfo.InvariantCulture);
break;
case "SY":
sec.Y = float.Parse(content[1], CultureInfo.InvariantCulture);
break;
case "TDX":
td.X = float.Parse(content[1], CultureInfo.InvariantCulture);
break;
case "TDY":
td.Y = float.Parse(content[1], CultureInfo.InvariantCulture);
break;
case "FL":
ret.FirstLength = float.Parse(content[1], CultureInfo.InvariantCulture);
break;
case "TL":
ret.ThirdLength = float.Parse(content[1], CultureInfo.InvariantCulture);
break;
default:
throw new ArgumentException("Incorrect Argument:" + content[0]);
}
}
ret.FirstDirection = fd;
ret.Second = sec;
ret.ThirdDirection = td;
return(ret);
}