const nLines = 300; //min=0 max=1000 step=10
const margin = 10; //min=0 max=50 step=5
const pPass = 0; //min=0 max=1 step=.1
const branding = 1; //min=0 max=1 step=1 (No, Yes)
// You can find the Turtle API reference here: https://turtletoy.net/syntax
Canvas.setpenopacity(1);

// Global code will be evaluated once.
const turtle = new Turtle();

const borders = [
    [[margin-100, margin-100], [200-margin-margin, 0]],
    [[100-margin, margin-100], [0, 200-margin-margin]],
    [[100-margin, 100-margin], [margin+margin-200, 0]],
    [[margin-100, 100-margin], [0, margin+margin-200]]
];

const rndPt = (w = 200, h = 200, d=[-100,-100]) => [d[0] + Math.random() * w, d[1] + Math.random() * h];
const rndDr = () => { a = Math.random(); return norm2([Math.sin(2*Math.PI*a), Math.cos(2*Math.PI*a)]); }

//((turtle, borders) => { borders.forEach(b => {turtle.jump(b[0][0], b[0][1] < 0 ?-100: 100);turtle.goto(b[0][0], b[0][1] < 0 ? -95: 95);turtle.jump(b[0][0] < 0 ? -100: 100, b[0][1]);turtle.goto(b[0][0] < 0 ? -95: 95, b[0][1]);});borders.forEach(r => drawRay(r));})(turtle, borders);

const lines = borders.map(b => b.map(c => c));

if(branding == '1') fontOutput().forEach(l => l.map((v, i, arr) => [v, sub2(arr[(i + 1) % arr.length], v)]).forEach(l => lines.push(l)));

// The walk function will be called until it returns false.
function walk(i) {
    if( i < nLines) {
        const pt = rndPt(200-margin-margin, 200-margin-margin, [margin-100, margin-100]);
        const dir = rndDr();
        
        const borderXings = borders.map((b, i) => intersect_info2(b[0], b[1], pt, dir))
               .filter(x => 0 <= x[0] && x[0] <= 1);
        const min = (borderXings.reduce((p, c) => c[1] < p? c[1]: p, 0) * 100000 - 1) / 100000;
        const max = (borderXings.reduce((p, c) => c[1] > p? c[1]: p, 0) * 100000 + 1) / 100000;
        
        //const xingsL = lines.map((b, i) => [i, ...intersect_info2(b[0], b[1], pt, dir)]);
        const xingsL = lines.map((b, i) => [i, intersect_info2(b[0], b[1], pt, dir)])
                            .filter(x => x[1] !== false)
                            .map(x => [x[0], ...x[1]]);
        const xings = xingsL.filter(x => min <= x[2] && x[2] <= max && 0 <= x[1] && x[1] <= 1);
    
        const forwardXings = (xings.filter(x => 0 <= x[2])).sort((a, b) => a[2] > b[2]? 1: -1);
        const backwardXings = (xings.filter(x => x[2] < 0)).sort((a, b) => a[2] > b[2]? -1: 1);
        if(forwardXings.length == 0 || backwardXings.length == 0) {
            debugger;
        }
        /* xings: [
            [index in lines, multiplier of line direction, multiplier of new direction, intersection point]
        ] */
        const first = [forwardXings[0], backwardXings[0]];
        const forwards = forwardXings.map((x, i, arr) => [x, arr[(i+1) % arr.length]]);
        forwards.pop();
        const backwards = backwardXings.map((x, i, arr) => [x, arr[(i+1) % arr.length]]);
        backwards.pop();
        
        function splitLine(lineIdx, pt) {
            const newLine = [add2( lines[ lineIdx ][0], lines[ lineIdx ][1])];
            newLine.push(sub2(pt, newLine[0]));
            lines[ lineIdx ][1] = sub2(pt, lines[ lineIdx ][0]);
            lines.push(newLine);
        }
        
        function handleSegment(segX, first = false) {
            if(first) splitLine( segX[0][0], segX[0][3] );
            splitLine( segX[1][0], segX[1][3] );
            lines.push([segX[0][3], sub2(segX[1][3], segX[0][3])]);
        }
        
        handleSegment(first, true);
        
        for(const f of forwards) {
            if(Math.random() > pPass) break;
            handleSegment(f, false);
        }
        for(const f of backwards) {
            if(Math.random() > pPass) break;
            handleSegment(f, false);
        }
        return true;
    }
    
    
    drawRay(lines.pop());

    return lines.length > 0;
}

function drawRay(r) {
    turtle.jump(r[0]);
    turtle.goto(add2(r[0], r[1]));
}




function norm2(a) { return scale2(a, 1/len2(a)); }
function add2(a, b) { return [a[0]+b[0], a[1]+b[1]]; }
function sub2(a, b) { return [a[0]-b[0], a[1]-b[1]]; }
function mul2(a, b) { return [a[0]*b[0], a[1]*b[1]]; }
function scale2(a, s) { return mul2(a, [s,s]); }
function lerp2(a,b,t) { return [a[0]*(1-t) + b[0]*t, a[1]*(1-t) + b[1]*t]; }
function lenSq2(a) { return a[0]**2+a[1]**2; }
function len2(a) { return Math.sqrt(lenSq2(a)); }

function rot2(a) { return [Math.cos(a), -Math.sin(a), Math.sin(a), Math.cos(a)]; }
function trans2(m, a) { return [m[0]*a[0]+m[2]*a[1], m[1]*a[0]+m[3]*a[1]]; }

function dist2(a,b) { return Math.hypot(...sub2(a,b)); }
function dot2(a,b) { return a[0]*b[0]+a[1]*b[1]; }
function cross2(a,b) { return a[0]*b[1] - a[1]*b[0]; }
function multiply2(a2x2, a) { return [(a[0]*a2x2[0])+(a[1]*a2x2[1]),(a[0]*a2x2[2])+(a[1]*a2x2[3])]; }
function intersect_info2(as, ad, bs, bd) {
    const d = [bs[0] - as[0], bs[1] - as[1]];
    const det = bd[0] * ad[1] - bd[1] * ad[0];
    if(det === 0) return false;
    const res = [(d[1] * bd[0] - d[0] * bd[1]) / det, (d[1] * ad[0] - d[0] * ad[1]) / det];
    return [...res, add2(as, scale2(ad, res[0]))];
}
function intersect_ray2(a, b, c, d) {
    const i = intersect_info2(a, b, c, d);
    return i === false? i: i[2];
}
function segment_intersect2(a,b,c,d, inclusive = true) {
    const i = intersect_info(a, sub2(b, a), c, sub2(d, c));
    if(i === false) return false;
    const t = inclusive? 0<=i[0]&&i[0]<=c&&0<=i[1]&&i[1]<=1: 0<i[0]&&i[0]<1&&0<i[1]&&i[1]<1;
    return t?i[2]:false;
}
function eq2(a,b) { return a[0]==b[0]&&a[1]==b[1]; }

function fontOutput() { return [[[-77,-35.6],[-77,-40],[-62.62292754540243,-40],[-62.62292754540243,-35.6],[-67.61146377270121,-35.6],[-67.61146377270121,-20],[-72.01146377270122,-20],[-72.01146377270122,-35.6]],[[-50.645855090804865,-40],[-46.24585509080487,-40],[-46.24585509080487,-26.666666666666664],[-46.268014948940944,-26.143606028481035],[-46.33435790045488,-25.623770233065127],[-46.444474918989314,-25.110364240960628],[-46.597687096507364,-24.606553370833684],[-46.793049828986405,-24.115443784232735],[-47.029358640215996,-23.640063335069687],[-47.305156607794274,-23.183342901893674],[-47.61874334553897,-22.74809831805018],[-47.96818548693372,-22.337013011132107],[-48.35132860497552,-21.95262145875635],[-48.76581049493363,-21.597293562666458],[-49.209075738127254,-21.27322003750035],[-49.678391456931436,-20.982398904306052],[-50.17086416387644,-20.72662317207755],[-50.68345760096016,-20.507469783258088],[-51.21301145918836,-20.326289891365644],[-51.75626086293053,-20.184200530682155],[-52.309856498963846,-20.08207772936575],[-52.870385266102936,-20.02055110844581],[-53.43439131810365,-20],[-53.998397370104364,-20.02055110844581],[-54.55892613724346,-20.08207772936575],[-55.11252177327677,-20.184200530682155],[-55.65577117701894,-20.326289891365644],[-56.18532503524714,-20.507469783258088],[-56.69791847233086,-20.72662317207755],[-57.19039117927586,-20.982398904306052],[-57.659706898080046,-21.27322003750035],[-58.10297214127367,-21.597293562666458],[-58.51745403123178,-21.95262145875635],[-58.90059714927359,-22.337013011132107],[-59.25003929066833,-22.74809831805018],[-59.56362602841303,-23.183342901893674],[-59.839423995991304,-23.640063335069687],[-60.0757328072209,-24.115443784232735],[-60.271095539699935,-24.606553370833684],[-60.424307717217985,-25.110364240960628],[-60.53442473575242,-25.623770233065127],[-60.600767687266355,-26.14360602848103],[-60.62292754540243,-26.666666666666664],[-60.62292754540243,-40],[-56.222927545402435,-40],[-56.222927545402435,-26.666666666666664],[-56.21433141884059,-26.48882604968355],[-56.18859603713381,-26.312081879242143],[-56.145880067468205,-26.137523841926615],[-56.08644686800126,-25.966228146083452],[-56.01066286417124,-25.79925088663913],[-55.91899528956248,-25.637621533923692],[-55.812009305255025,-25.48233658664385],[-55.690364515418565,-25.33435342813706],[-55.55481090063345,-25.194584423784917],[-55.40618419401097,-25.063891295977157],[-55.24540072862086,-24.943079811306596],[-55.073451787993164,-24.83289481275012],[-54.89139749452569,-24.734015627464057],[-54.70036027347685,-24.647051878506367],[-54.50151793284075,-24.57253972630775],[-54.29609640176918,-24.510938563064318],[-54.08536217231079,-24.462628180431935],[-53.87061449106644,-24.427906427984354],[-53.65317734890185,-24.406987376871577],[-53.43439131810365,-24.4],[-53.21560528730545,-24.406987376871577],[-52.99816814514086,-24.427906427984354],[-52.78342046389651,-24.462628180431935],[-52.57268623443812,-24.510938563064318],[-52.36726470336656,-24.57253972630775],[-52.168422362730446,-24.647051878506367],[-51.97738514168161,-24.734015627464057],[-51.795330848214135,-24.83289481275012],[-51.62338190758644,-24.943079811306596],[-51.46259844219633,-25.063891295977157],[-51.31397173557385,-25.194584423784917],[-51.178418120788734,-25.33435342813706],[-51.056773330952275,-25.48233658664385],[-50.94978734664482,-25.637621533923692],[-50.85811977203606,-25.79925088663913],[-50.78233576820604,-25.966228146083452],[-50.722902568739094,-26.137523841926615],[-50.680186599073494,-26.312081879242143],[-50.65445121736671,-26.488826049683553],[-50.645855090804865,-26.666666666666664]],[[-44.24585509080487,-40],[-44.24585509080487,-20],[-39.84585509080487,-20],[-39.84585509080487,-27.8],[-38.40678987112092,-27.8],[-34.50678987112092,-20],[-29.8687826362073,-20],[-33.94386817100639,-28.150171069598183],[-33.19944058779606,-28.464860202450957],[-32.78154139144001,-28.698894997440036],[-32.38329259722321,-28.964996334312822],[-32.00714954139318,-29.26152360983981],[-31.65543127096936,-29.58664863476206],[-31.33030624604711,-29.93836690518588],[-31.03377897052012,-30.314509961015915],[-30.767677633647338,-30.712758755232713],[-30.533642838658253,-31.130657951588763],[-30.33311748788845,-31.56563106257295],[-30.167337886806862,-32.01499633431282],[-30.037326121781472,-32.47598328047898],[-29.94388375857696,-32.94574976325459],[-29.887586900435217,-33.42139951606015],[-29.8687826362073,-33.9],[-29.887586900435217,-34.378600483939856],[-29.94388375857696,-34.85425023674541],[-30.037326121781472,-35.32401671952102],[-30.167337886806862,-35.78500366568718],[-30.33311748788845,-36.23436893742705],[-30.533642838658253,-36.66934204841124],[-30.767677633647338,-37.087241244767284],[-31.03377897052012,-37.48549003898408],[-31.33030624604711,-37.86163309481412],[-31.65543127096936,-38.21335136523794],[-32.00714954139318,-38.538476390160184],[-32.38329259722322,-38.83500366568718],[-32.78154139144001,-39.10110500255996],[-33.19944058779606,-39.33513979754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