// 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();
let seed = 1000; // min=1 max=1000000 step=1
const bits = 20; 
const samples = 150000; 
const mod = 1<<bits;
let border_gap = 0; // min = 0 max = 30 step = 1
let spacing = 10; // min = 5 max = 100 step = 1
let max_radius = 6; // min = 2 max = 20 step = 2
let perlin_grid_size = 3; // min = 1 max = 10 step = 1
let perlin_magnitude = 30; // min = 0 max = 30 step = 1
let face_strength = 7; // min = 0 max = 15 step = 0.1
const f = face();

////////////////////////////////////////////////////////////////
// Pseudorandom number generator. Created by Reinder Nijhoff 2024
// https://turtletoy.net/turtle/a2274fd1fe
////////////////////////////////////////////////////////////////
function random() { // returns a number [0, 1]
    let r = 1103515245 * (((seed+=12345) >> 1) ^ seed);
    r = 1103515245 * (r ^ (r >> 3));
    r = r ^ (r >> 16);
    return (r % mod) / mod;
}

////////////////////////////////////////////////////////////////
// Perlin noise field generator. Taken from turtle below
// https://turtletoy.net/turtle/04036becc3
////////////////////////////////////////////////////////////////
class Perlin {
    constructor(size, gridSize) {
        this.size = size;
        this.gridSize = gridSize;
        this.grid = [];

        for (let i = 0; i <= gridSize; i++) {
            let table = [];
            for (let j = 0; j <= gridSize; j++) {
                let angle = random() * 2 * Math.PI;
                let x = Math.cos(angle);
                let y = Math.sin(angle);
                table.push([x, y]);
            }
            this.grid.push(table);
        }
    }

    get(x, y) {
        x = x / 2 + this.size / 2;
        y = y / 2 + this.size / 2;
        if (x < 0) x = 0;
        if (x >= this.size) x = this.size - 0.01;
        if (y < 0) y = 0;
        if (y >= this.size) y = this.size - 0.01;

        let posx = x * this.gridSize / this.size;
        let posy = y * this.gridSize / this.size;

        let x1 = Math.floor(posx);
        let x2 = x1 + 1;
        let y1 = Math.floor(posy);
        let y2 = y1 + 1;

        let scal = [];
        scal.push(this.scalar(posx, posy, x1, y1));
        scal.push(this.scalar(posx, posy, x2, y1));
        scal.push(this.scalar(posx, posy, x1, y2));
        scal.push(this.scalar(posx, posy, x2, y2));

        let int1 = this.interpolate(posx - x1, scal[0], scal[1]);
        let int2 = this.interpolate(posx - x1, scal[2], scal[3]);

        return this.interpolate(posy - y1, int1, int2);
    }

    scalar(x, y, vx, vy) {
        x -= vx;
        y -= vy;
        return x * this.grid[vx][vy][0] + y * this.grid[vx][vy][1];
    }

    smooth(v) {
        if (v < 0) v = 0;
        if (v > 1) v = 1;
        return v ** 2 * (3 - 2 * v);
    }

    interpolate(x, a, b) {
        return a + (b - a) * this.smooth(x);
    }
}

function circle(radius, steps, x_center, y_center) {
    theta = Math.PI * 2 / steps;
    turtle.penup();
    for(i = 0; i <= steps; i++) {
        if(i==1) {
            turtle.pendown();
        }
        let x = x_center + radius * Math.cos(theta * i);
        let y = y_center + radius * Math.sin(theta * i);
        let x_p = perlin_x.get(x,y) * perlin_magnitude;
        let y_p = perlin_y.get(x,y) * perlin_magnitude;
        x += x_p;
        y += y_p;
        if(x > -99 && x < 99 && y > -99 && y < 99) {
            // console.log(Math.round((x+100)/2), Math.round((y+100)/2));
            let y_f = f[Math.round((y+100)/2)][Math.round((x+100)/2)];
            y += y_f * face_strength;
        }
        turtle.goto(x,y);
    }
}

let perlin_x = new Perlin(100, perlin_grid_size);
let perlin_y = new Perlin(100, perlin_grid_size);

for(let i = -100 + border_gap; i <= 100 - border_gap; i+=spacing) {
    for(let j = -100 + border_gap; j <= 100 - border_gap; j+=spacing) {
        for(let k = 2; k <= max_radius; k+=2) {
            circle(k, 100, i, j);
        }
    }
}

// The walk function will be called until it returns false.
function walk(i) {
    // row = Math.floor(i / 100);
    // col = i % 100;
    // turtle.jump(row*2-100, col*2-100);
    // turtle.circle(1-f[col][row]);
    // return i < 9999
}

//face encoded at 100x100 array of values 0-1
function face() {
    return [[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0.95,0.83,0.56,0.24,0.2,0.12,0.06,0.1,0.07,0.09,0.06,0.05,0.05,0.07,0.07,0.07,0.08,0.05,0.04,0.05,0.06,0.07,0.08,0.07,0.09,0.09,0.09,0.07,0.09,0.09,0.07,0.09,0.07,0.06,0.07,0.05,0.05,0.06,0.04,0.05,0.04,0.06,0.04,0.08,0.08,0.07,0.05,0.11,0.12,0.12,0.12,0.12,0.18,0.53,0.94,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0.98,0.83,0.61,0.38,0.19,0.17,0.11,0.09,0.11,0.09,0.08,0.07,0.07,0.06,0.08,0.07,0.09,0.05,0.05,0.08,0.06,0.09,0.1,0.11,0.12,0.09,0.13,0.12,0.1,0.12,0.12,0.09,0.08,0.09,0.09,0.09,0.08,0.07,0.08,0.06,0.06,0.05,0.05,0.04,0.08,0.07,0.07,0.04,0.1,0.11,0.11,0.17,0.14,0.16,0.41,0.78,0.97,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0.95,0.65,0.4,0.25,0.14,0.13,0.1,0.08,0.07,0.07,0.07,0.07,0.08,0.04,0.05,0.07,0.09,0.03,0.05,0.09,0.1,0.1,0.11,0.11,0.11,0.11,0.16,0.19,0.18,0.13,0.18,0.16,0.15,0.13,0.12,0.11,0.09,0.09,0.07,0.07,0.07,0.05,0.07,0.05,0.08,0.07,0.06,0.05,0.1,0.08,0.1,0.13,0.13,0.16,0.26,0.56,0.92,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0.83,0.44,0.24,0.16,0.12,0.1,0.09,0.07,0.07,0.08,0.07,0.08,0.06,0.05,0.06,0.06,0.05,0.04,0.09,0.13,0.14,0.12,0.13,0.18,0.17,0.2,0.23,0.27,0.25,0.19,0.27,0.23,0.24,0.21,0.18,0.11,0.11,0.11,0.11,0.09,0.07,0.06,0.05,0.05,0.07,0.07,0.05,0.05,0.09,0.09,0.1,0.11,0.1,0.14,0.21,0.48,0.89,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0.78,0.33,0.16,0.12,0.1,0.08,0.05,0.07,0.07,0.06,0.09,0.07,0.08,0.06,0.07,0.05,0.06,0.08,0.13,0.16,0.17,0.18,0.18,0.25,0.25,0.32,0.37,0.39,0.35,0.33,0.43,0.35,0.38,0.32,0.31,0.23,0.19,0.14,0.11,0.11,0.09,0.07,0.07,0.06,0.05,0.05,0.05,0.06,0.08,0.08,0.08,0.09,0.09,0.13,0.18,0.37,0.84,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0.98,0.77,0.33,0.15,0.11,0.08,0.08,0.05,0.05,0.07,0.08,0.11,0.07,0.07,0.07,0.08,0.07,0.1,0.14,0.18,0.2,0.22,0.28,0.32,0.37,0.4,0.44,0.47,0.51,0.49,0.5,0.55,0.53,0.46,0.42,0.46,0.39,0.28,0.24,0.16,0.14,0.11,0.09,0.08,0.06,0.07,0.08,0.06,0.07,0.08,0.08,0.1,0.09,0.09,0.13,0.14,0.29,0.73,0.99,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0.99,0.88,0.68,0.32,0.15,0.09,0.08,0.08,0.07,0.07,0.06,0.07,0.09,0.08,0.07,0.06,0.09,0.12,0.17,0.2,0.28,0.33,0.33,0.4,0.45,0.48,0.51,0.56,0.6,0.67,0.64,0.61,0.62,0.6,0.57,0.52,0.56,0.52,0.43,0.36,0.27,0.25,0.19,0.12,0.12,0.08,0.05,0.06,0.07,0.07,0.06,0.09,0.1,0.08,0.07,0.11,0.11,0.24,0.72,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0.98,0.67,0.44,0.22,0.12,0.08,0.06,0.08,0.08,0.09,0.07,0.06,0.07,0.06,0.08,0.1,0.11,0.16,0.25,0.29,0.4,0.47,0.45,0.53,0.57,0.61,0.65,0.64,0.66,0.72,0.73,0.69,0.68,0.67,0.66,0.62,0.58,0.57,0.53,0.44,0.38,0.33,0.28,0.21,0.15,0.13,0.1,0.09,0.09,0.07,0.06,0.07,0.08,0.08,0.06,0.08,0.11,0.22,0.68,0.99,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0.89,0.57,0.32,0.16,0.11,0.07,0.07,0.08,0.07,0.09,0.09,0.06,0.09,0.09,0.12,0.15,0.16,0.21,0.33,0.4,0.49,0.55,0.56,0.59,0.64,0.68,0.7,0.73,0.73,0.73,0.75,0.74,0.71,0.69,0.68,0.65,0.6,0.53,0.51,0.48,0.45,0.4,0.35,0.26,0.21,0.16,0.12,0.11,0.09,0.09,0.08,0.09,0.08,0.09,0.07,0.05,0.11,0.22,0.67,0.99,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0.99,0.75,0.4,0.2,0.12,0.11,0.09,0.07,0.08,0.07,0.09,0.08,0.09,0.12,0.14,0.18,0.19,0.24,0.29,0.39,0.47,0.55,0.61,0.64,0.65,0.66,0.71,0.74,0.76,0.78,0.78,0.79,0.78,0.76,0.72,0.7,0.67,0.63,0.56,0.54,0.52,0.48,0.43,0.38,0.33,0.26,0.2,0.16,0.14,0.11,0.11,0.09,0.1,0.07,0.08,0.08,0.07,0.09,0.19,0.62,0.98,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0.97,0.62,0.33,0.22,0.09,0.09,0.1,0.08,0.07,0.09,0.09,0.1,0.12,0.15,0.19,0.24,0.24,0.3,0.4,0.49,0.53,0.56,0.63,0.66,0.67,0.68,0.73,0.76,0.79,0.8,0.82,0.82,0.82,0.79,0.76,0.71,0.69,0.66,0.61,0.56,0.53,0.49,0.44,0.4,0.34,0.27,0.22,0.21,0.17,0.15,0.13,0.11,0.1,0.09,0.07,0.09,0.07,0.1,0.21,0.54,0.97,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0.96,0.54,0.28,0.24,0.1,0.09,0.07,0.08,0.07,0.08,0.07,0.1,0.13,0.19,0.19,0.28,0.32,0.37,0.45,0.53,0.56,0.58,0.63,0.66,0.69,0.7,0.74,0.78,0.81,0.83,0.84,0.85,0.84,0.81,0.78,0.73,0.7,0.67,0.65,0.62,0.59,0.54,0.49,0.44,0.4,0.34,0.31,0.26,0.22,0.22,0.19,0.17,0.15,0.11,0.08,0.08,0.08,0.12,0.17,0.44,0.91,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0.91,0.49,0.3,0.2,0.1,0.1,0.08,0.08,0.08,0.1,0.1,0.14,0.19,0.23,0.26,0.33,0.37,0.42,0.48,0.53,0.56,0.6,0.62,0.66,0.7,0.72,0.76,0.8,0.83,0.85,0.85,0.86,0.85,0.83,0.8,0.75,0.72,0.69,0.67,0.65,0.62,0.57,0.52,0.48,0.42,0.38,0.31,0.29,0.27,0.29,0.27,0.24,0.2,0.14,0.09,0.06,0.08,0.1,0.14,0.35,0.85,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0.91,0.51,0.26,0.17,0.11,0.08,0.09,0.09,0.07,0.11,0.15,0.21,0.26,0.29,0.31,0.37,0.4,0.44,0.5,0.54,0.57,0.6,0.64,0.66,0.71,0.74,0.78,0.82,0.85,0.87,0.88,0.88,0.88,0.86,0.82,0.78,0.74,0.71,0.68,0.65,0.62,0.59,0.55,0.52,0.47,0.43,0.38,0.33,0.33,0.34,0.32,0.29,0.25,0.17,0.11,0.08,0.06,0.08,0.15,0.31,0.82,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0.97,0.59,0.25,0.15,0.09,0.07,0.09,0.09,0.1,0.1,0.16,0.24,0.27,0.32,0.37,0.39,0.41,0.46,0.52,0.55,0.58,0.62,0.65,0.68,0.72,0.76,0.8,0.85,0.87,0.89,0.9,0.9,0.9,0.88,0.84,0.81,0.77,0.73,0.69,0.65,0.62,0.58,0.54,0.51,0.5,0.47,0.44,0.41,0.36,0.33,0.31,0.3,0.27,0.2,0.1,0.07,0.08,0.11,0.15,0.27,0.65,0.98,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0.99,0.73,0.28,0.15,0.11,0.09,0.13,0.1,0.07,0.13,0.2,0.27,0.32,0.38,0.42,0.42,0.42,0.46,0.52,0.55,0.58,0.63,0.67,0.71,0.75,0.78,0.83,0.87,0.89,0.91,0.92,0.93,0.92,0.9,0.86,0.82,0.8,0.76,0.71,0.67,0.63,0.58,0.53,0.51,0.5,0.48,0.48,0.43,0.4,0.38,0.38,0.38,0.34,0.23,0.13,0.11,0.1,0.11,0.14,0.25,0.55,0.97,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0.87,0.42,0.15,0.1,0.09,0.09,0.11,0.12,0.18,0.24,0.31,0.35,0.41,0.43,0.42,0.43,0.47,0.51,0.55,0.59,0.64,0.69,0.73,0.77,0.81,0.85,0.89,0.91,0.93,0.93,0.93,0.93,0.92,0.89,0.86,0.82,0.78,0.74,0.69,0.64,0.59,0.55,0.52,0.5,0.48,0.47,0.44,0.44,0.42,0.43,0.44,0.37,0.23,0.15,0.11,0.09,0.11,0.14,0.24,0.6,0.98,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0.97,0.62,0.19,0.11,0.1,0.1,0.11,0.15,0.2,0.26,0.33,0.37,0.42,0.43,0.43,0.43,0.47,0.51,0.56,0.61,0.67,0.72,0.76,0.8,0.83,0.87,0.91,0.93,0.95,0.95,0.95,0.95,0.94,0.92,0.89,0.85,0.81,0.76,0.71,0.66,0.61,0.56,0.52,0.49,0.48,0.48,0.47,0.45,0.44,0.45,0.45,0.37,0.25,0.18,0.11,0.09,0.09,0.14,0.27,0.66,0.99,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],
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