// SPDX-License-Identifier: MIT
// Copyright (c) 2026 Incoprea
// Preview a suspended-cable curve
// Not compiled or tested in-world
// Setup: Put in a spare owned prim. Set positive SPAN and shape parameter A; supports are atZ0. Touch to print the plan privately.
// Stop / restore: Remove/disable; calculations do not alter objects.
// Notes: A controls tension-like shape but this is not a structural simulation. Large span/A ratios can overflow and are rejected.
// License: see LICENSE in this distribution.
// Original Incoprea. MIT. Calculation only.
float SPAN=8.0;
float A=5.0;
float cosh(float x)
{
    return 0.5*(llPow(2.718281828,x)+llPow(2.718281828,-x));
}
default
{
    touch_start(integer detectedCount)
    {
        if(llDetectedKey(0)!=llGetOwner())return;
        if(SPAN<=0.0||A<=0.0||SPAN/A>20.0)
        {
            llOwnerSay("Invalid span/shape ratio.");
            return;
        }
        float edge=cosh(SPAN/(2.0*A));
        integer i;
        for(i=0;i<=6;++i)
        {
            float x=-SPAN*0.5+SPAN*(float)i/6.0;
            float z=A*(cosh(x/A)-edge);
            llOwnerSay((string)<x,0.0,z>);
        }
    }
}