interpolation/Hermite/Float

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/LSL

Interpolation/Hermite/Float

Summary

Function: float fHem( float a, float b, float c, float d, float t, float tens, float bias );

Hermite interpolation of floating points a, b, c and d with fraction t, tension and bias.
Returns a float

• float	a
• float	b
• float	c
• float	d
• float	t
• float	tens
• float	bias

Specification

<source lang="lsl2">float fHem(float a, float b, float c, float d, float t, float tens, float bias){

   float t2 = t*t;float t3 = t2*t;
   float a0 =  (b-a)*(1+bias)*(1-tens)/2;
         a0 += (c-b)*(1-bias)*(1-tens)/2;
   float a1 =  (c-b)*(1+bias)*(1-tens)/2;
         a1 += (d-c)*(1-bias)*(1-tens)/2;
   float b0 =  2*t3 - 3*t2 + 1;
   float b1 =    t3 - 2*t2 + t;
   float b2 =    t3 -   t2;
   float b3 = -2*t3 + 3*t2;
   return b0 * b + b1 * a0 + b2 * a1 + b3 * c;

} // Released into public domain. By Nexii Malthus.</source>

Examples

<source lang="lsl2"></source>