Mathfx

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== Usage ==
 
== Usage ==
 
* '''Hermite''' - This method will interpolate while easing in and out at the limits.
 
* '''Hermite''' - This method will interpolate while easing in and out at the limits.
 +
** [[Image:Mathfx-Hermite.png|Graph of the Hermite function.]]
 
* '''Sinerp''' - Short for 'sinusoidal interpolation', this method will interpolate while easing around the end, when value is near one.
 
* '''Sinerp''' - Short for 'sinusoidal interpolation', this method will interpolate while easing around the end, when value is near one.
 +
** [[Image:Mathfx-Sinerp.png|Graph of the Sinerp function.]]
 
* '''Berp''' - Short for 'boing-like interpolation', this method will first overshoot, then waver back and forth around the end value before coming to a rest.
 
* '''Berp''' - Short for 'boing-like interpolation', this method will first overshoot, then waver back and forth around the end value before coming to a rest.
 +
** [[Image:Mathfx-Berp.png|Graph of the Berp function.]]
 
* '''SmoothStep''' - Works like Lerp, but has ease-in and ease-out of the values.
 
* '''SmoothStep''' - Works like Lerp, but has ease-in and ease-out of the values.
 
* '''Lerp''' - Short for 'linearly interpolate', this method is equivalent to Unity's Mathf.Lerp, included for comparison.
 
* '''Lerp''' - Short for 'linearly interpolate', this method is equivalent to Unity's Mathf.Lerp, included for comparison.
 +
** [[Image:Mathfx-Lerp.png|Graph of the Lerp function.]]
 +
 
== C# - Mathfx.cs ==
 
== C# - Mathfx.cs ==
 
<csharp>using UnityEngine;
 
<csharp>using UnityEngine;

Revision as of 23:58, 21 June 2006

Description

The following snippet provides short functions for floating point numbers. See the usage section for individualized information.

Usage

  • Hermite - This method will interpolate while easing in and out at the limits.
    • Graph of the Hermite function.
  • Sinerp - Short for 'sinusoidal interpolation', this method will interpolate while easing around the end, when value is near one.
    • Graph of the Sinerp function.
  • Berp - Short for 'boing-like interpolation', this method will first overshoot, then waver back and forth around the end value before coming to a rest.
    • Graph of the Berp function.
  • SmoothStep - Works like Lerp, but has ease-in and ease-out of the values.
  • Lerp - Short for 'linearly interpolate', this method is equivalent to Unity's Mathf.Lerp, included for comparison.
    • Graph of the Lerp function.

C# - Mathfx.cs

<csharp>using UnityEngine; using System;

public class Mathfx {

   public static float Hermite(float start, float end, float value)
   {
       return Mathf.Lerp(start, end, value * value * (3.0f - 2.0f * value));
   }
   
   public static float Sinerp(float start, float end, float value)
   {
       return Mathf.Lerp(start, end, Mathf.Sin(value * Mathf.PI * 0.5f));
   }
   public static float Berp(float start, float end, float value)
   {
       value = Mathf.Clamp01(value);
       value = (Mathf.Sin(value * Mathf.PI * (0.2f + 2.5f * value * value * value)) * Mathf.Pow(1f - value, 2.2f) + value) * (1f + (1.2f * (1f - value)));
       return start + (end - start) * value;
   }
   
   public static float SmoothStep (float x, float min, float max) 
   {
       x = Mathf.Clamp (x, min, max);
       float v1 = (x-min)/(max-min);
       float v2 = (x-min)/(max-min);
       return -2*v1 * v1 *v1 + 3*v2 * v2;
   }
   public static float Lerp(float start, float end, float value)
   {
       return ((1.0f - value) * start) + (value * end);
   }

} </csharp>

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