// SPDX-License-Identifier: MIT
// Copyright (c) 2026 Incoprea
// Quick rope sag through three constraints
// Not compiled or tested in-world
// Setup: Put in a spare owned prim. Set SPAN positive and SAG nonnegative. Touch to print the plan privately.
// Stop / restore: Remove/disable; calculations do not alter objects.
// Notes: A parabola is a visual approximation, not the exact hanging-cable catenary. Endpoints areZ0.
// License: see LICENSE in this distribution.
// Original Incoprea. MIT. Calculation only.
float SPAN=8.0;
float SAG=1.2;
default
{
    touch_start(integer detectedCount)
    {
        if(llDetectedKey(0)!=llGetOwner())return;
        if(SPAN<=0.0||SAG<0.0)
        {
            llOwnerSay("Invalid span/sag.");
            return;
        }
        integer i;
        for(i=0;i<=6;++i)
        {
            float t=(float)i/6.0;
            llOwnerSay((string)<SPAN*t,0.0,-4.0*SAG*t*(1.0-t)>);
        }
    }
}