Interpolation/Linear: Difference between revisions

Revision as of 13:22, 4 September 2011

Linear interpolation of f0 and f1 with fraction t. <lsl> float fLin(float f0,float f1,float t) {

   return f0*(1-t) + f1*t;

} </lsl>

Input	Description
float f0	Start (t = 0.0)
float f1	End (t = 1.0)
float t	Fraction of interpolation
Output	Description
return float fLin	Returns linear interpolation of two floats

Released to Public Domain. By Nexii Malthus

Linear interpolation of v0 and v1 with fraction t. <lsl> vector vLin(vector v0, vector v1,float t){

   return v0*(1-t) + v1*t;

} </lsl>

Input	Description
vector v0	Start (t = 0.0)
vector v1	End (t = 1.0)
float t	Fraction of interpolation
Output	Description
return vector vLin	Returns linear interpolation of two vectors

Graph goes here, k.

Released to Public Domain. By Nexii Malthus

Spherical Linear interpolation of r0 and r1 with fraction t. Also known as SLERP <lsl> rotation rLin(rotation r0,rotation r1,float t) {

   float ang = llAngleBetween(r0, r1);
   if(ang > PI) ang -= TWO_PI;
   return r0 * llAxisAngle2Rot( llRot2Axis(r1/r0)*r0, ang*t);

} </lsl>

Input	Description
rotation r0	Start (t = 0.0)
rotation r1	End (t = 1.0)
float t	Fraction of interpolation
Output	Description
return rotation rLin	Returns spherical linear interpolation of two rotations

Graph goes here, k.

Released to Public Domain. By Nexii Malthus