// SPDX-License-Identifier: MIT
// Copyright (c) 2026 Incoprea
// Choose a viewing distance that frames a sphere
// Not compiled or tested in-world
// Setup: Use a spare owned prim. Set positive radius, vertical FOV and aspect ratio. Touch for private calculations.
// Stop / restore: Disable/remove. No camera or object settings are changed.
// Notes: Uses the more restrictive half-angle; add margin in your own layout for labels or off-center framing.
// License: see LICENSE in this distribution.
// Original Incoprea. MIT. Transform planning only.
float RADIUS=3.0;
float VERTICAL_FOV=60.0;
float ASPECT=1.7777778;
default
{
    touch_start(integer detectedCount)
    {
        if(llDetectedKey(0)!=llGetOwner())return;
        if(RADIUS<=0.0||VERTICAL_FOV<=1.0||VERTICAL_FOV>=170.0||ASPECT<=0.0)
        {
            llOwnerSay("Invalid inputs.");
            return;
        }
        float vertical=VERTICAL_FOV*DEG_TO_RAD*0.5;
        float horizontal=llAtan2(llTan(vertical)*ASPECT,1.0);
        float limit=vertical;
        if(horizontal<limit)limit=horizontal;
        llOwnerSay("Minimum centered distance="+(string)(RADIUS/llSin(limit)));
    }
}