/// <summary>
/// Modeled after the piecewise exponentially-damped sine wave:
/// y = (1/2)*sin(13pi/2*(2*x))*Math.Pow(2, 10 * ((2*x) - 1)) ; [0,0.5)
/// y = (1/2)*(sin(-13pi/2*((2x-1)+1))*Math.Pow(2,-10(2*x-1)) + 2) ; [0.5, 1]
/// </summary>
public static float EaseInOutElastic(this float This)
{
if (This < 0.5f)
{
return(0.5f * Math.Sin(13 * HalfPi * (2 * This)) * Math.Pow(2, 10 * (2 * This - 1)));
}
return(0.5f * (Math.Sin(-13 * HalfPi * (2 * This - 1 + 1)) * Math.Pow(2, -10 * (2 * This - 1)) + 2));
}
/// <summary>
/// Modeled after the piecewise exponentially-damped sine wave:
/// y = (1/2)*sin(13pi/2*(2*x))*Math.Pow(2, 10 * ((2*x) - 1)) ; [0,0.5)
/// y = (1/2)*(sin(-13pi/2*((2x-1)+1))*Math.Pow(2,-10(2*x-1)) + 2) ; [0.5, 1]
/// </summary>
public static float ElasticEaseInOut(float p)
{
if (p < 0.5f)
{
return(0.5f * Math.Sin(13 * HALFPI * (2 * p)) * Math.Pow(2, 10 * ((2 * p) - 1)));
}
return(0.5f * (Math.Sin(-13 * HALFPI * ((2 * p - 1) + 1)) * Math.Pow(2, -10 * (2 * p - 1)) + 2));
}
/// <summary>
/// Modeled after the piecewise expoly-damped sine wave:
/// y = (1/2)*sin(13pi/2*(2*x))*Math.Pow(2, 10 * ((2*x) - 1)) ; [0,0.5)
/// y = (1/2)*(sin(-13pi/2*((2x-1)+1))*Math.Pow(2,-10(2*x-1)) + 2) ; [0.5, 1]
/// </summary>
internal static float EaseInOutElastic(float p)
{
if (p < 0.5f)
{
return(0.5f * Math.Sin(13 * HALFPI * (2 * p)) * Math.Pow(2, 10 * ((2 * p) - 1)));
}
else
{
return(0.5f * ((Math.Sin(-13 * HALFPI * (2 * p)) * Math.Pow(2, -10 * ((2 * p) - 1))) + 2));
}
}
/// <summary>
/// Modeled after the piecewise exponential
/// y = (1/2)2^(10(2x - 1)) ; [0,0.5)
/// y = -(1/2)*2^(-10(2x - 1))) + 1 ; [0.5,1]
/// </summary>
public static float EaseInOutExponential(this float This)
{
if (This.IsAlmostZero() || This.IsAlmostEqualTo(1f))
{
return(This);
}
if (This < 0.5f)
{
return(0.5f * Math.Pow(2, 20 * This - 10));
}
return(-0.5f * Math.Pow(2, -20 * This + 10) + 1);
}
/// <summary>
/// Modeled after the piecewise exponential
/// y = (1/2)2^(10(2x - 1)) ; [0,0.5)
/// y = -(1/2)*2^(-10(2x - 1))) + 1 ; [0.5,1]
/// </summary>
public static float ExponentialEaseInOut(float p)
{
if (p == 0.0 || p == 1.0)
{
return(p);
}
if (p < 0.5f)
{
return(0.5f * Math.Pow(2, (20 * p) - 10));
}
return(-0.5f * Math.Pow(2, (-20 * p) + 10) + 1);
}
/// <summary>
/// Modeled after the piecewise expo
/// y = (1/2)2^(10(2x - 1)) ; [0,0.5)
/// y = -(1/2)*2^(-10(2x - 1))) + 1 ; [0.5,1]
/// </summary>
internal static float EaseInOutExpo(float p)
{
if (p == 0.0 || p == 1.0)
{
return(p);
}
if (p < 0.5f)
{
return(0.5f * Math.Pow(2, (20 * p) - 10));
}
else
{
return((-0.5f * Math.Pow(2, (-20 * p) + 10)) + 1);
}
}
/// <summary>
/// Modeled after the damped sine wave y = sin(-13pi/2*(x + 1))*Math.Pow(2, -10x) + 1
/// </summary>
internal static float EaseOutElastic(float p)
{
return((Math.Sin(-13 * HALFPI * (p + 1)) * Math.Pow(2, -10 * p)) + 1);
}
/// <summary>
/// Modeled after the damped sine wave y = sin(13pi/2*x)*Math.Pow(2, 10 * (x - 1))
/// </summary>
internal static float EaseInElastic(float p)
{
return(Math.Sin(13 * HALFPI * p) * Math.Pow(2, 10 * (p - 1)));
}
/// <summary>
/// Modeled after the expo function y = -2^(-10x) + 1
/// </summary>
internal static float EaseOutExpo(float p)
{
return((p == 1.0f) ? p : 1 - Math.Pow(2, -10 * p));
}
/// <summary>
/// Modeled after the exponential function y = 2^(10(x - 1))
/// </summary>
public static float EaseInExponential(this float This)
{
return(This.IsAlmostZero() ? This : Math.Pow(2, 10 * (This - 1)));
}
/// <summary>
/// Modeled after the damped sine wave y = sin(13pi/2*x)*Math.Pow(2, 10 * (x - 1))
/// </summary>
public static float ElasticEaseIn(float p)
{
return(Math.Sin(13 * HalfPi * p) * Math.Pow(2, 10 * (p - 1)));
}
/// <summary>
/// Modeled after the exponential function y = 2^(10(x - 1))
/// </summary>
public static float ExponentialEaseIn(float p)
{
return((p == 0.0f) ? p : Math.Pow(2, 10 * (p - 1)));
}
public static float ExpoIn(float p)
{
return(Mathf.Pow(2, (10 * (p - 1f))));
}
/// <summary> /// Modeled after the expo function y = -2^(-10x) + 1 /// </summary> internal static float EaseOutExpo(float p) => (p == 1.0f) ? p : 1 - Math.Pow(2, -10 * p);
/// <summary> /// Modeled after the expo function y = 2^(10(x - 1)) /// </summary> internal static float EaseInExpo(float p) => (p == 0.0f) ? p : Math.Pow(2, 10 * (p - 1));
/// <summary>
/// Modeled after the exponential function y = -2^(-10x) + 1
/// </summary>
public static float EaseOutExponential(this float This)
{
return(This.IsAlmostEqualTo(1f) ? This : 1 - Math.Pow(2, -10 * This));
}
/// <summary>
/// Modeled after the damped sine wave y = sin(-13pi/2*(x + 1))*Math.Pow(2, -10x) + 1
/// </summary>
public static float EaseOutElastic(this float This)
{
return(Math.Sin(-13 * HalfPi * (This + 1)) * Math.Pow(2, -10 * This) + 1);
}
/// <summary>
/// Modeled after the damped sine wave y = sin(13pi/2*x)*Math.Pow(2, 10 * (x - 1))
/// </summary>
public static float EaseInElastic(this float This)
{
return(Math.Sin(13 * HalfPi * This) * Math.Pow(2, 10 * (This - 1)));
}
public static float ElasticIn(float p)
{
return(-(Mathf.Pow(2, 10 * (p - 1f)) * Mathf.Sin((p - 1.075f) * (Mathf.PI * 2) / 0.3f)));
}
// 没有处理在内部的情况
public static bool Intersect(CylinderXCollider src, CylinderXCollider dst, out XContact?contact)
{
var space = src.Radius + dst.Radius;
var sqrSpace = space * space;
Vector3 n = Vector3.zero;
n.x = dst.Position.x - src.Position.x;
n.z = dst.Position.z - src.Position.z;
if (n.sqrMagnitude > sqrSpace)
{
contact = null;
return(false);
}
var halfHa = src.Height * 0.5f;
var topA = src.Position.y + halfHa;
var bottomA = src.Position.y - halfHa;
var halfHb = dst.Height * 0.5f;
var topB = dst.Position.y + halfHb;
var bottomB = dst.Position.y - halfHb;
Vector3 normal;
float penetration;
if (Mathf.Sign(topA - topB) == Mathf.Sign(bottomB - bottomA))
{
// 水平相撞
normal = n.normalized;
penetration = space - n.magnitude;
}
else if (n.sqrMagnitude < Mathf.Pow(dst.Radius - src.Radius, 2f))
{
// 垂直相撞
if (dst.Position.y > src.Position.y)
{
normal = Vector3.up;
penetration = topA - bottomB;
}
else
{
normal = Vector3.down;
penetration = topB - bottomA;
}
}
else
{
var horizontalP = space - n.magnitude;
float verticalP;
// 斜向相撞
if (topB > topA)
{
verticalP = topA - bottomB;
}
else
{
verticalP = topB - bottomA;
}
if (horizontalP < verticalP)
{
normal = n.normalized;
penetration = horizontalP;
}
else
{
normal = topB > topA ? Vector3.up : Vector3.down;
penetration = verticalP;
}
}
if (normal == Vector3.zero)
{
normal = Vector3.up;
}
contact = new XContact(src, dst, normal, penetration);
return(true);
}
/// <summary>
/// Modeled after the exponential function y = -2^(-10x) + 1
/// </summary>
public static float ExponentialEaseOut(float p)
{
return((p == 1.0f) ? p : 1 - Math.Pow(2, -10 * p));
}
/// <summary>
/// Modeled after the expo function y = 2^(10(x - 1))
/// </summary>
internal static float EaseInExpo(float p)
{
return((p == 0.0f) ? p : Math.Pow(2, 10 * (p - 1)));
}
/// <summary>
/// Modeled after the damped sine wave y = sin(-13pi/2*(x + 1))*Math.Pow(2, -10x) + 1
/// </summary>
public static float ElasticEaseOut(float p)
{
return(Math.Sin(-13 * HalfPi * (p + 1)) * Math.Pow(2, -10 * p) + 1);
}
/// <summary>
/// Modeled after the damped sine wave y = sin(-13pi/2*(x + 1))*Math.Pow(2, -10x) + 1
/// </summary>
static internal float easeOutElastic(float p)
{
return(Math.Sin(-13 * HALFPI * (p + 1)) * Math.Pow(2, -10 * p) + 1);
}
