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@@ -1,9 +1,59 @@
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<!DOCTYPE html>
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<html>
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<head>
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<head>
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<meta name="viewport" width=device-width, initial-scale=1.0, maximum-scale=1.0, user-scalable=0>
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<script src="https://cdn.jsdelivr.net/npm/p5@1.4.0/lib/p5.min.js"></script>
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</head>
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<style>
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body {
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font-family: system-ui, -apple-system, Segoe UI, Roboto, Helvetica, Arial, sans-serif;
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margin: 16px;
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background: #fafafa;
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color: #222;
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}
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.intro {
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max-width: 900px;
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margin: 0 auto 18px;
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padding: 0 12px;
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}
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.intro h1 {
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font-size: 1.5rem;
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margin: 0 0 6px;
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}
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.intro p {
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margin: 4px 0 10px;
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line-height: 1.45;
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}
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canvas {
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display: block;
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margin: 0 auto;
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}
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</style>
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</head>
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<body>
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<div class="intro">
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<h1>Marching Squares Field Visualizer</h1>
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<p>
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This sketch uses the <strong>Marching Squares</strong> algorithm to generate and display contour boundaries
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on a grid. Each cell is either active or inactive, the algorithm determines the correct line or triangle to
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draw based on the surrounding corners.
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</p>
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<p>
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<b>Left-click</b> toggles a cell between the two states.
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</p>
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<p>
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<b>Right‑click</b> shows or hides the contour lines produced by the algorithm.
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</p>
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</div>
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<script>
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var reso = 50;
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var cols, rows;
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@@ -17,7 +67,7 @@
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cols = width / reso + 1;
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rows = height / reso + 1;
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for (var i = 0; i < cols * rows; i++)
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field[i] = Math.floor(random(2));
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}
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@@ -27,104 +77,104 @@
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const cBlue = color(55, 120, 232);
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const cGreen = color(146, 232, 55);
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for (var i = 0; i < cols * rows; i++){
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for (var i = 0; i < cols * rows; i++) {
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let x = i % cols;
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let y = Math.floor(i / cols);
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let c = field[i] ? cBlue : cGreen;
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fill(c);
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rect(x*reso - reso*0.5, y*reso - reso*0.5, reso, reso);
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rect(x * reso - reso * 0.5, y * reso - reso * 0.5, reso, reso);
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}
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for (var i = 0; i < cols * rows; i++) {
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if (i + cols + 1 > cols * rows){break;}
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if (i + cols + 1 > cols * rows) {break;}
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var x = (i % cols) * reso;
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var y = (Math.floor(i / cols)) * reso;
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const a = [x + reso * 0.5, y ];
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const b = [x + reso, y + reso * 0.5];
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const c = [x + reso * 0.5, y + reso ];
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const d = [x, y + reso * 0.5];
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var s = getState(field[i], field[i+1], field[i+cols+1], field[i+cols]);
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const a = [x + reso * 0.5, y];
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const b = [x + reso, y + reso * 0.5];
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const c = [x + reso * 0.5, y + reso];
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const d = [x, y + reso * 0.5];
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var s = getState(field[i], field[i + 1], field[i + cols + 1], field[i + cols]);
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noStroke();
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switch(s) {
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switch (s) {
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case 1:
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fill(cGreen);
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triangle(x + reso*0.5, y + reso*0.5, c[0], c[1], d[0], d[1]);
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triangle(x + reso * 0.5, y + reso * 0.5, c[0], c[1], d[0], d[1]);
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break;
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case 14:
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fill(cBlue);
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triangle(x + reso*0.5, y + reso*0.5, c[0], c[1], d[0], d[1]);
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triangle(x + reso * 0.5, y + reso * 0.5, c[0], c[1], d[0], d[1]);
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break;
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case 2:
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fill(cGreen);
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triangle(x + reso*0.5, y + reso*0.5, b[0], b[1], c[0], c[1]);
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triangle(x + reso * 0.5, y + reso * 0.5, b[0], b[1], c[0], c[1]);
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break;
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case 13:
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fill(cBlue);
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triangle(x + reso*0.5, y + reso*0.5, b[0], b[1], c[0], c[1]);
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triangle(x + reso * 0.5, y + reso * 0.5, b[0], b[1], c[0], c[1]);
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break;
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case 3:
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fill(cBlue);
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rect(d[0], d[1], reso, reso*0.5);
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rect(d[0], d[1], reso, reso * 0.5);
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break;
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case 12:
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fill(cGreen);
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rect(d[0], d[1], reso, reso*0.5);
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rect(d[0], d[1], reso, reso * 0.5);
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break;
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case 4:
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fill(cGreen);
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triangle(x + reso*0.5, y + reso*0.5, a[0], a[1], b[0], b[1]);
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triangle(x + reso * 0.5, y + reso * 0.5, a[0], a[1], b[0], b[1]);
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break;
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case 11:
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fill(cBlue);
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triangle(x + reso*0.5, y + reso*0.5, a[0], a[1], b[0], b[1]);
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triangle(x + reso * 0.5, y + reso * 0.5, a[0], a[1], b[0], b[1]);
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break;
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case 5:
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fill(cBlue);
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triangle(x + reso*0.5, y + reso*0.5, a[0], a[1], d[0], d[1]);
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triangle(x + reso*0.5, y + reso*0.5, b[0], b[1], c[0], c[1]);
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triangle(x + reso * 0.5, y + reso * 0.5, a[0], a[1], d[0], d[1]);
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triangle(x + reso * 0.5, y + reso * 0.5, b[0], b[1], c[0], c[1]);
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break;
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case 6:
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fill(cBlue);
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rect(a[0], a[1], reso*0.5, reso);
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rect(a[0], a[1], reso * 0.5, reso);
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break;
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case 9:
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fill(cGreen);
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rect(a[0], a[1], reso*0.5, reso);
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rect(a[0], a[1], reso * 0.5, reso);
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break;
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case 7:
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fill(cBlue);
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triangle(x + reso*0.5, y + reso*0.5, a[0], a[1], d[0], d[1]);
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triangle(x + reso * 0.5, y + reso * 0.5, a[0], a[1], d[0], d[1]);
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break;
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case 8:
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fill(cGreen);
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triangle(x + reso*0.5, y + reso*0.5, a[0], a[1], d[0], d[1]);
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triangle(x + reso * 0.5, y + reso * 0.5, a[0], a[1], d[0], d[1]);
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break;
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case 10:
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fill(cBlue);
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triangle(x + reso*0.5, y + reso*0.5, a[0], a[1], b[0], b[1]);
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triangle(x + reso*0.5, y + reso*0.5, c[0], c[1], d[0], d[1]);
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triangle(x + reso * 0.5, y + reso * 0.5, a[0], a[1], b[0], b[1]);
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triangle(x + reso * 0.5, y + reso * 0.5, c[0], c[1], d[0], d[1]);
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break;
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default:
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break;
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};
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if (draw_lines) { drawLines(s, a, b, c, d); }
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if (draw_lines) {drawLines(s, a, b, c, d);}
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}
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}
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function getState(a,b,c,d){
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function getState(a, b, c, d) {
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return d * 1 + c * 2 + b * 4 + a * 8;
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}
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function drawLines(s, a, b, c, d){
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stroke(232,229,55);
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function drawLines(s, a, b, c, d) {
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stroke(232, 229, 55);
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strokeWeight(reso * 0.1);
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switch(s) {
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switch (s) {
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case 1: case 14:
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line(c[0], c[1], d[0], d[1]);
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break;
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@@ -157,17 +207,18 @@
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noStroke();
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}
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function mousePressed(){
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if (mouseButton == LEFT){
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var x = Math.floor((mouseX + 0.5*reso) / reso);
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var y = Math.floor((mouseY + 0.5*reso) / reso);
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function mousePressed() {
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if (mouseButton == LEFT) {
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var x = Math.floor((mouseX + 0.5 * reso) / reso);
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var y = Math.floor((mouseY + 0.5 * reso) / reso);
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var i = Math.floor(y * cols + x);
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field[i] = (field[i] + 1) % 2;
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} else if (mouseButton == RIGHT){
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} else if (mouseButton == RIGHT) {
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draw_lines = !draw_lines;
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}
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}
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</script>
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</body>
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</html>
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