// SPDX-License-Identifier: MIT
// Copyright (c) 2026 Incoprea
// Calculate a non-oscillating return
// Not compiled or tested in-world
// Setup: Put in a spare owned prim. Set positive OMEGA, initial OFFSET/VELOCITY and nonnegative TIME. Owner touch prints calculations only.
// Stop / restore: Disable/remove. No prim motion or appearance is changed.
// Notes: Analytical unit-mass model. Large parameter products may underflow harmlessly toward zero.
// License: see LICENSE in this distribution.
// Original Incoprea. MIT. Motion planning only.
float OMEGA=3.0;
float OFFSET=1.0;
float VELOCITY=0.0;
float TIME=0.8;
default
{
    touch_start(integer detectedCount)
    {
        if(llDetectedKey(0)!=llGetOwner())return;
        if(OMEGA<=0.0||TIME<0.0)
        {
            llOwnerSay("Invalid frequency/time.");
            return;
        }
        float b=VELOCITY+OMEGA*OFFSET;
        float decay=llPow(2.718281828,-OMEGA*TIME);
        float x=(OFFSET+b*TIME)*decay;
        float v=(b-OMEGA*(OFFSET+b*TIME))*decay;
        llOwnerSay("Offset="+(string)x+" velocity="+(string)v);
    }
}