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.
- Sinerp - Short for 'sinusoidal interpolation', this method will interpolate while easing around the end, when value is near one.
- 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.
- 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.
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>