public static void DrawGizmos(Func <float, float> function, Vector3 position, Vector2 size, Color axis, Color line, int precision = 100)
{
Color gizmosColor = Gizmos.color;
Gizmos.color = axis;
Gizmos.DrawLine(position, position + Vector3.right * size.x);
Gizmos.DrawLine(position, position + Vector3.up * size.y);
Gizmos.color = line;
Vector3 to, from = position;
for (int i = 0; i < precision; i++)
{
float t = HMath.Clamp01((i + 1F) / precision);
float d = function(t);
to = position + new Vector3(t * size.x, d * size.y);
Gizmos.DrawLine(from, to);
from = to;
}
Gizmos.color = gizmosColor;
}
public static float FirstDerivative(float t, params float[] points)
{
t = HMath.Clamp01(t);
if (t == 1F)
{
return(0F);
}
int n = points.Length;
switch (n)
{
case 0:
case 1:
return(0F);
case 2: return(points[1] - points[0]);
case 3: return(2F * ((points[2] - 2F * points[1] + points[0]) * t + points[1] - points[0]));
case 4:
return(3F * ((points[3] - 3F * points[2] + 3F * points[1] - points[0]) * (t * t)
+ 2F * (points[2] - 2F * points[1] + points[0]) * t + points[1] - points[0]));
default:
n--;
float combination, d = 1F - t;
float add = points[0] * (-n * HMath.Pow(d, n - 1));
for (int i = 1; i <= n; i++)
{
combination = HMath.Combinations(n, i);
add += combination * points[i] * (-(n - i) * HMath.Pow(d, n - i - 1)) * HMath.Pow(t, i)
+ combination * points[i] * HMath.Pow(d, n - i) * i * HMath.Pow(t, i - 1);
}
return(add);
}
}
public static Vector2 Lerp(float t, params Vector2[] points)
{
t = HMath.Clamp01(t);
float d = 1F - t;
int n = points.Length;
switch (n)
{
case 0: return(Vector2.zero);
case 1: return(points[0]);
case 2: return(points[0] * d + points[1] * t);
case 3: return(points[0] * d * d + 2F * points[1] * d * t + points[2] * t * t);
case 4:
float td3 = 3F * t * d;
return(points[0] * d * d * d + points[1] * td3 * d + points[2] * td3 * t + points[3] * t * t * t);
default:
n--;
float pt = 1F;
Vector2 add = Vector2.zero;
for (int i = 0; i <= n; i++, pt *= t)
{
add += HMath.Combinations(n, i) * points[i] * HMath.Pow(d, n - i) * pt;
}
return(add);
}
}
public static Bounds GetBounds(params Bounds[] bounds)
{
float mx = bounds[0].min.x;
float my = bounds[0].min.y;
float mz = bounds[0].min.z;
float Mx = bounds[0].max.x;
float My = bounds[0].max.y;
float Mz = bounds[0].max.z;
for (int i = 1; i < bounds.Length; i++)
{
mx = HMath.Min(mx, bounds[i].min.x);
my = HMath.Min(my, bounds[i].min.y);
mz = HMath.Min(mz, bounds[i].min.z);
Mx = HMath.Max(Mx, bounds[i].max.x);
My = HMath.Max(My, bounds[i].max.y);
Mz = HMath.Max(Mz, bounds[i].max.z);
}
Vector3 size = new Vector3(Mx - mx, My - my, Mz - mz);
Vector3 center = new Vector3(mx, my, mz) + size / 2F;
return(new Bounds(center, size));
}
/// <summary>
///
/// </summary>
public T[] Clamp(T[] values)
{
return(HMath.Clamp(this, values));
}
/// <summary>
///
/// </summary>
public T Clamp(T value)
{
return(HMath.Clamp <T>(value, Min, Max));
}
public static Func <float, float> PingPong(float loops)
{
return((t) => { return HMath.PingPong(t * loops * 2F, 1F); });
}
/// <summary>
/// Linearly interpolates between min and max by t.
/// </summary>
/// <param name="t">
/// The interpolation value between 0f and 1f.
/// </param>
public override float Lerp(float t)
{
return(HMath.Lerp(min, max, t));
}
/// <summary>
/// Linearly interpolates between min and max by t.
/// </summary>
/// <param name="t">
/// The interpolation value between 0f and 1f.
/// </param>
public override int Lerp(float t)
{
return(HMath.FloorToInt(HMath.Lerp(min, max, t)));
}
/// <summary>
///
/// </summary>
public static float EaseInElastic(float t)
{
return(t != 0F && t != 1F ? -HMath.Pow(2F, 10F * (t -= 1F)) * HMath.Sin((t - 0.3f / 4F) * (2F * HMath.PI) / 0.3f) : t);
}
/// <summary>
///
/// </summary>
public static float EaseInCirc(float t)
{
return(1F - HMath.Sqrt(1F - t * t));
}
/// <summary>
///
/// </summary>
public static float EaseOutExp(float t)
{
return(t != 1F ? 1F - HMath.Pow(2F, -10F * t) : 1F);
}
/// <summary>
///
/// </summary>
public static float EaseInSine(float t)
{
return(1F - HMath.Cos(t * HMath.HalfPI));
}
/// <summary>
///
/// </summary>
public static float EaseInExp(float t)
{
return(t != 0 ? HMath.Pow(2F, 10F * (t - 1F)) : 0F);
}
/// <summary>
///
/// </summary>
public static float EaseOutElastic(float t)
{
return(t != 0F && t != 1F ? HMath.Pow(2F, -10F * t) * HMath.Sin((t - 0.3f / 4F) * (2F * HMath.PI) / 0.3f) + 1F : t);
}
/// <summary>
///
/// </summary>
public static float EaseOutCirc(float t)
{
t = 1F - t;
return(HMath.Sqrt(1F - t * t));
}
/// <summary>
///
/// </summary>
public static float EaseOutSine(float t)
{
return(HMath.Sin(t * HMath.HalfPI));
}