// SPDX-License-Identifier: MIT
// Copyright (c) 2026 Incoprea
// Check whether planned vertices share a plane
// Not compiled or tested in-world
// Setup: Place in a spare owned prim. Set at least3 POINTS with a noncollinear first triple and nonnegative tolerance. Touch for private results.
// Stop / restore: Disable/remove; no scene properties change.
// Notes: A degenerate first triple is rejected rather than searching for another triple.
// License: see LICENSE in this distribution.
// Original Incoprea. MIT. Planning only.
list POINTS=[<0.0,0.0,0.0>,<3.0,0.0,0.0>,<0.0,3.0,0.0>,<2.0,2.0,0.02>];
float TOLERANCE=0.01;
default
{
    touch_start(integer detectedCount)
    {
        if(llDetectedKey(0)!=llGetOwner())return;
        integer n=llGetListLength(POINTS);
        if(n<3||TOLERANCE<0.0)
        {
            llOwnerSay("Invalid inputs.");
            return;
        }
        vector origin=llList2Vector(POINTS,0);
        vector normal=(llList2Vector(POINTS,1)-origin)%(llList2Vector(POINTS,2)-origin);
        if(llVecMag(normal)<0.000001)
        {
            llOwnerSay("First triple is collinear.");
            return;
        }
        normal=llVecNorm(normal);
        float maximum;
        integer i;
        for(i=0;i<n;++i)
        {
            float d=llFabs((llList2Vector(POINTS,i)-origin)*normal);
            if(d>maximum)maximum=d;
        }
        llOwnerSay("Maximum deviation="+(string)maximum+" within tolerance="+(string)(maximum<=TOLERANCE));
    }
}