Interpolation/Hermite/Vector

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Summary

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

Hermite interpolation of vectors a, b, c and d with fraction t, tension and bias.
Returns a vector

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

Specification

vector vHem(vector a, vector b, vector c, vector d, float t, float tens, float bias){
    float t2 = t*t;float t3 = t2*t;
    vector a0 =  (b-a)*(1+bias)*(1-tens)/2;
           a0 += (c-b)*(1-bias)*(1-tens)/2;
    vector 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.

Examples