Interpolation/Cubic

Cubic Interpolation

Float Cubic

Cubic interpolation of f0, f1, f2 and f3 with fraction t. <lsl> float fCub(float f0,float f1,float f2,float f3,float t) { float P = (f3-f2)-(f0-f1); return P*llPow(t,3) + ((f0-f1)-P)*llPow(t,2) + (f2-f0)*t + f1; } </lsl> Input Description float f0 Modifier (t = 0.33~) float f1 Start (t = 0.0) float f2 End (t = 1.0) float f3 Modifier (t = 0.66~) float t Fraction of interpolation Output Description return float fCub Returns cubic interpolation of four floats Release to Public Domain. By Nexii Malthus

Vector Cubic

Cubic interpolation of v0, v1, v2 and v3 with fraction t. <lsl> vector vCub(vector v0,vector v1,vector v2,vector v3,float t){ vector P = (v3-v2)-(v1-v0); return P*llPow(t,3) + ((v1-v0)-P)*llPow(t,2) + (v2-v1)*t + v0; } </lsl> Input Description vector v0 Start Point vector v1 Start Tangent vector v2 End Point vector v3 End Tangent float t Fraction of interpolation Output Description return vector vCub Returns cubic interpolation of four vectors Graph goes here, k. Released to Public Domain. By Nexii Malthus

Rotation Cubic

Spherical Cubic interpolation of r0 and r1 with fraction t. I liken to call it as SCURP <lsl> rotation rCub(rotation r0,rotation r1,rotation r2,rotation r3,float t){ // Spherical-Cubic Interpolation // r0 = Start, r1 = End, r2 and r3 affect path of curve! return rLin( rLin(r0,r1,t), rLin(r2,r3,t), 2*t*(1-t) ); } </lsl> Input Description rotation r0 Start (t = 0.0) rotation r1 End (t = 1.0) rotation r2 Modifier (t = 0.33~) rotation r3 Modifier (t = 0.66~) float t Fraction of interpolation Output Description return rotation rCub Returns spherical cubic interpolation of four rotations Requirement function rotation rLin(rotation r0,rotation r1,float t) Graph goes here, k. Released to Public Domain. By Nexii Malthus