public static void CatmullRom(ref TSVector2 value1, ref TSVector2 value2, ref TSVector2 value3, ref TSVector2 value4,
FP amount, out TSVector2 result)
{
result = new TSVector2(
TSMath.CatmullRom(value1.x, value2.x, value3.x, value4.x, amount),
TSMath.CatmullRom(value1.y, value2.y, value3.y, value4.y, amount));
}
public static void Barycentric(ref TSVector2 value1, ref TSVector2 value2, ref TSVector2 value3, FP amount1,
FP amount2, out TSVector2 result)
{
result = new TSVector2(
TSMath.Barycentric(value1.x, value2.x, value3.x, amount1, amount2),
TSMath.Barycentric(value1.y, value2.y, value3.y, amount1, amount2));
}
//New 已测
/// <summary>
/// 检测点是否在矩形中
/// </summary>
/// <param name="sCenter"></param>
/// <param name="sDir"></param>
/// <param name="nHalfWidth"></param>
/// <param name="nHalfHeight"></param>
/// <param name="sPos"></param>
/// <returns></returns>
public static bool CheckRectangleAndPos(TSVector2 sCenter, TSVector2 sDir, FP nHalfWidth, FP nHalfHeight, TSVector2 sPos)
{
//推导链接:http://jingyan.baidu.com/article/2c8c281dfbf3dd0009252a7b.html
//假设对图片上任意点(x,y)，绕一个坐标点(cx,cy)逆时针旋转a角度后的新的坐标设为(x0, y0)，有公式：
//x0= (x - cx)*cos(a) - (y - cy)*sin(a) + cx ;
//y0= (x - cx)*sin(a) + (y - cy)*cos(a) + cy ;
//注意，当sDir与x轴大于180度的时候计算的是逆时针旋转的角度，小于180顺时针
FP nAngle = TSVector2.Angle(sDir, TSVector2.up);
if (sDir.x < 0)
{
//当计算的角度是顺时针角度需要转换为逆时针角度
nAngle = 360 - nAngle;
}
FP angle = nAngle * FP.Deg2Rad;
FP nCos = TSMath.Cos(angle);
FP nSin = TSMath.Sin(angle);
FP deltaX = sPos.x - sCenter.x;
FP deltaY = sPos.y - sCenter.y;
FP nNewX = deltaX * nCos - deltaY * nSin + sCenter.x;
FP nNewY = deltaX * nSin + deltaY * nCos + sCenter.y;
sPos.x = nNewX;
sPos.y = nNewY;
return(CheckAabbAndPos(sCenter, nHalfWidth, nHalfHeight, sPos));
}
public static TSVector2 Lerp(TSVector2 value1, TSVector2 value2, FP amount)
{
amount = TSMath.Clamp(amount, 0, 1);
return(new TSVector2(
TSMath.Lerp(value1.x, value2.x, amount),
TSMath.Lerp(value1.y, value2.y, amount)));
}
//New 已测
/// <summary>
/// 计算点到经过两点的直线的距离
/// </summary>
/// <param name="sPos"></param>
/// <param name="sPos1"></param>
/// <param name="sPos2"></param>
/// <returns></returns>
public static FP DistanceFromPointToLine(TSVector2 sPos, TSVector2 sPos1, TSVector2 sPos2)
{
TSVector2 line1 = sPos2 - sPos1;
TSVector2 line2 = sPos - sPos1;
if (line1 == TSVector2.zero)
{
return(line2.magnitude);
}
return(TSMath.Abs(line2.x * line1.y - line2.y * line1.x) / line1.magnitude);
}
//New 已测
/// <summary>
/// 检测圆与线段是否相交
/// </summary>
/// <param name="sOrgPos"></param>
/// <param name="sOffset"></param>
/// <param name="sCenter"></param>
/// <param name="nRadius"></param>
/// <param name="sCrossPoint"></param>
/// <returns></returns>
public static bool CheckCicleAndLine(TSVector2 sOrgPos, TSVector2 sOffset, TSVector2 sCenter, FP nRadius, out TSVector2 sCrossPoint)
{
//推导过程
//http://blog.csdn.net/rabbit729/article/details/4285119
sCrossPoint = sCenter;
FP nDis = sOffset.magnitude;
TSVector2 d = sOffset.normalized;
TSVector2 e = sCenter - sOrgPos;
FP a = (e.x * d.x + e.y * d.y);
FP f = a * a + nRadius * nRadius - e.LengthSquared();
if (f >= 0)
{
FP s = TSMath.Sqrt(f);
FP t1 = a - s;
FP t2 = a + s;
if (TSMath.Abs(t1) > TSMath.Abs(t2))
{
FP fTemp = t1;
t1 = t2;
t2 = fTemp;
}
//射线原点在圆外
if ((t1 >= 0) && (t1 - nDis) <= 0)
{
sCrossPoint.x = sOrgPos.x + t1 * d.x;
sCrossPoint.y = sOrgPos.y + t1 * d.y;
return(true);
}
//这里说明射线原点在圆内
if (t2 >= 0)
{
//如果与圆有碰撞
if ((t2 - nDis) <= 0)
{
sCrossPoint.x = sOrgPos.x + t2 * d.x;
sCrossPoint.y = sOrgPos.y + t2 * d.y;
return(true);
}
//如果两个点都在圆内
else
{
sCrossPoint = sOrgPos;
return(true);
}
}
}
return(false);
}
//NEW已测
/// <summary>
/// 检测一个点的xz平面投影是否处于2DAabb内
/// </summary>
/// <param name="sCenter"></param>
/// <param name="nHalfWidth"></param>
/// <param name="nHalfHeight"></param>
/// <param name="sPos"></param>
/// <returns></returns>
public static bool CheckAabbAndPos(TSVector2 sCenter, FP nHalfWidth, FP nHalfHeight, TSVector2 sPos)
{
TSVector2 sOffset = sPos - sCenter;
if (TSMath.Abs(sOffset.x) > nHalfWidth)
{
return(false);
}
if (TSMath.Abs(sOffset.y) > nHalfHeight)
{
return(false);
}
return(true);
}
public static TSQuaternion Slerp(TSQuaternion from, TSQuaternion to, FP t)
{
t = TSMath.Clamp(t, 0, 1);
FP dot = Dot(from, to);
if (dot < 0)
{
to = Multiply(to, -1);
dot = -dot;
}
FP halfTheta = FP.Acos(dot);
return(Multiply(Multiply(from, FP.Sin((1 - t) * halfTheta)) + Multiply(to, FP.Sin(t * halfTheta)), 1 / FP.Sin(halfTheta)));
}
//New 已测
/// <summary>
/// 检查矩形是否和线段相交
/// </summary>
/// <param name="sCenter"></param>
/// <param name="sDir"></param>
/// <param name="nHalfWidth"></param>
/// <param name="nHalfHeight"></param>
/// <param name="sOrgPos"></param>
/// <param name="sOffset"></param>
/// <returns></returns>
public static bool CheckRectangleAndLine(TSVector2 sCenter, TSVector2 sDir, FP nHalfWidth, FP nHalfHeight, TSVector2 sOrgPos, ref TSVector2 sOffset)
{
FP nAngle = TSVector2.Angle(sDir, TSVector2.up);
if (sDir.x < 0)
{
nAngle = 360 - nAngle;
}
TSVector2 sEndPos = sOrgPos + sOffset;
FP angle = nAngle * FP.Deg2Rad;
FP nCos = TSMath.Cos(angle);
FP nSin = TSMath.Sin(angle);
FP deltaX = sOrgPos.x - sCenter.x;
FP deltaY = sOrgPos.y - sCenter.y;
FP nNewX = deltaX * nCos - deltaY * nSin + sCenter.x;
FP nNewY = deltaX * nSin + deltaY * nCos + sCenter.y;
sOrgPos.x = nNewX;
sOrgPos.y = nNewY;
deltaX = sEndPos.x - sCenter.x;
deltaY = sEndPos.y - sCenter.y;
nNewX = deltaX * nCos - deltaY * nSin + sCenter.x;
nNewY = deltaX * nSin + deltaY * nCos + sCenter.y;
sEndPos.x = nNewX;
sEndPos.y = nNewY;
TSVector2 sNewDirection = sEndPos - sOrgPos;
FP nDis = sOffset.magnitude;
nDis = CheckAabbAndLine(sCenter, nHalfWidth, nHalfHeight, sOrgPos, sNewDirection, nDis);
if (nDis < 0)
{
return(false);
}
else
{
sOffset = sOffset.normalized * nDis;
return(true);
}
}
public static void LerpUnclamped(ref TSVector2 value1, ref TSVector2 value2, FP amount, out TSVector2 result)
{
result = new TSVector2(
TSMath.Lerp(value1.x, value2.x, amount),
TSMath.Lerp(value1.y, value2.y, amount));
}
public static TSQuaternion Lerp(TSQuaternion a, TSQuaternion b, FP t)
{
t = TSMath.Clamp(t, FP.Zero, FP.One);
return(LerpUnclamped(a, b, t));
}
public static void SmoothStep(ref TSVector2 value1, ref TSVector2 value2, FP amount, out TSVector2 result)
{
result = new TSVector2(
TSMath.SmoothStep(value1.x, value2.x, amount),
TSMath.SmoothStep(value1.y, value2.y, amount));
}
public static TSVector2 SmoothStep(TSVector2 value1, TSVector2 value2, FP amount)
{
return(new TSVector2(
TSMath.SmoothStep(value1.x, value2.x, amount),
TSMath.SmoothStep(value1.y, value2.y, amount)));
}
public static void Min(ref TSVector2 value1, ref TSVector2 value2, out TSVector2 result)
{
result.x = TSMath.Min(value1.x, value2.x);
result.y = TSMath.Min(value1.y, value2.y);
}
public static TSVector2 CatmullRom(TSVector2 value1, TSVector2 value2, TSVector2 value3, TSVector2 value4, FP amount)
{
return(new TSVector2(
TSMath.CatmullRom(value1.x, value2.x, value3.x, value4.x, amount),
TSMath.CatmullRom(value1.y, value2.y, value3.y, value4.y, amount)));
}
public static TSVector2 LerpUnclamped(TSVector2 value1, TSVector2 value2, FP amount)
{
return(new TSVector2(
TSMath.Lerp(value1.x, value2.x, amount),
TSMath.Lerp(value1.y, value2.y, amount)));
}
public static TSVector2 Clamp(TSVector2 value1, TSVector2 min, TSVector2 max)
{
return(new TSVector2(
TSMath.Clamp(value1.x, min.x, max.x),
TSMath.Clamp(value1.y, min.y, max.y)));
}
public static void Hermite(ref TSVector2 value1, ref TSVector2 tangent1, ref TSVector2 value2, ref TSVector2 tangent2,
FP amount, out TSVector2 result)
{
result.x = TSMath.Hermite(value1.x, tangent1.x, value2.x, tangent2.x, amount);
result.y = TSMath.Hermite(value1.y, tangent1.y, value2.y, tangent2.y, amount);
}
public static void Clamp(ref TSVector2 value1, ref TSVector2 min, ref TSVector2 max, out TSVector2 result)
{
result = new TSVector2(
TSMath.Clamp(value1.x, min.x, max.x),
TSMath.Clamp(value1.y, min.y, max.y));
}
public static TSVector2 Min(TSVector2 value1, TSVector2 value2)
{
return(new TSVector2(
TSMath.Min(value1.x, value2.x),
TSMath.Min(value1.y, value2.y)));
}
public static TSVector2 Barycentric(TSVector2 value1, TSVector2 value2, TSVector2 value3, FP amount1, FP amount2)
{
return(new TSVector2(
TSMath.Barycentric(value1.x, value2.x, value3.x, amount1, amount2),
TSMath.Barycentric(value1.y, value2.y, value3.y, amount1, amount2)));
}
