Interpolation/Cosine

Linear Interpolation

Float Cosine
Cosine interpolation of f0 and f1 with fraction t. <lsl> float fCos(float f0,float f1,float t) { float F = (1 - llCos(t*PI))/2; return f0*(1-F)+f1*F; } </lsl> Input Description float f0 Start (t = 0.0) float f1 End (t = 1.0) float t Fraction of interpolation Output Description return float fCos Returns cosine interpolation of two floats Released to Public Domain. By Nexii Malthus

Vector Cosine

Cosine interpolation of v0 and v1 with fraction t. <lsl> vector vCos(vector v0,vector v1,float t){ float F = (1 - llCos(t*PI))/2; return v0*(1-F)+v1*F;} </lsl> Input Description vector v0 Start (t = 0.0) vector v1 End (t = 1.0) float t Fraction of interpolation Output Description return vector vCos Returns cosine interpolation of two vectors Graph goes here, k. Released to Public Domain. By Nexii Malthus

Rotation Cosine

Spherical Cosine interpolation of r0 and r1 with fraction t. I liken to call it as SCORP <lsl> rotation rCos(rotation r0,rotation r1,float t){ // Spherical-Cosine Interpolation float f = (1 - llCos(t*PI))/2; float ang = llAngleBetween(r0, r1); if( ang > PI) ang -= TWO_PI; return r0 * llAxisAngle2Rot( llRot2Axis(r1/r0)*r0, ang*f);} </lsl> Input Description rotation r0 Start (t = 0.0) rotation r1 End (t = 1.0) float t Fraction of interpolation Output Description return rotation rCos Returns spherical cosine interpolation of two rotations Graph goes here, k. Released to Public Domain. By Nexii Malthus

Rotation Cosine Aim

Spherical Cosine interpolation of r0 and r1 with speed regulation. Does the entire animation loop to rotate between r0 to r1 up to peak speed, using the cosine interpolation it makes it appear to accelerate and decelerate realistically. <lsl> rCosAim( rotation r0, rotation r1, float speed ){ float ang = llAngleBetween(r0, r1) * RAD_TO_DEG; if( ang > PI) ang -= TWO_PI; float x; float y = (ang/speed)/0.2; for( x = 0.0; x < y; x += 1.0 ) llSetRot( rCos( r0, r1, x/y ) ); } </lsl> Input Description rotation r0 Start rotation r1 End float speed Degrees peak speed of rotation in animation Output Description return rotation rCos Creates a spherical cosine animation of two rotations with a specific peak speed Requirement function rotation rCos(rotation r0,rotation r1,float t) Graph goes here, k. Released to Public Domain. By Nexii Malthus