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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8" />
<meta content="width=device-width, initial-scale=1.0" name="viewport" />
<title>DFS - AlgoVis.io</title>
<meta
content="AlgoVis is an online algorithm visualization tool."
name="description"
/>
<meta content="algorithm visualization tool online" name="keywords" />
<!-- Favicons -->
<link href="assets/img/favicon.png" rel="icon" />
<link href="assets/img/apple-touch-icon.png" rel="apple-touch-icon" />
<!-- Google Fonts -->
<link
href="https://fonts.googleapis.com/css?family=Open+Sans:300,300i,400,400i,600,600i,700,700i|Raleway:300,300i,400,400i,500,500i,600,600i,700,700i|Poppins:300,300i,400,400i,500,500i,600,600i,700,700i"
rel="stylesheet"
/>
<!-- Vendor CSS Files -->
<link
href="assets/vendor/bootstrap/css/bootstrap.min.css"
rel="stylesheet"
/>
<link href="assets/vendor/icofont/icofont.min.css" rel="stylesheet" />
<link href="assets/vendor/boxicons/css/boxicons.min.css" rel="stylesheet" />
<link href="assets/vendor/venobox/venobox.css" rel="stylesheet" />
<link
href="assets/vendor/owl.carousel/assets/owl.carousel.min.css"
rel="stylesheet"
/>
<link href="assets/vendor/aos/aos.css" rel="stylesheet" />
<link rel="stylesheet" href="assets/css/main.css" />
<link
rel="stylesheet"
href="https://cdnjs.cloudflare.com/ajax/libs/bootstrap-slider/11.0.2/css/bootstrap-slider.min.css"
/>
<!-- Template Main CSS File -->
<link href="assets/css/style.css" rel="stylesheet" />
</head>
<body>
<!-- ======= Top Bar ======= -->
<div
id="topbar"
class="d-none d-lg-flex align-items-center fixed-top header-inner-pages"
>
<div class="container-fluid d-flex">
<div class="contact-info mr-auto"></div>
<div class="social-links">
<a href="https://twitter.com/tobiasnoethlich" class="twitter"
><i class="icofont-twitter"></i
></a>
<a href="https://github.com/tobinatore" class="github"
><i class="icofont-github"></i
></a>
<a
href="https://www.xing.com/profile/Tobias_Noethlich/cv"
class="xing"
><i class="icofont-xing"></i
></a>
<a
href="https://www.linkedin.com/in/tobias-noethlich/"
class="linkedin"
><i class="icofont-linkedin"></i
></a>
</div>
</div>
</div>
<!-- ======= Header ======= -->
<header id="header" class="fixed-top header-inner-pages">
<div class="container-fluid d-flex align-items-center">
<a class="btn back-button mr-4" href="graphs.html"
><i class="bx bx-arrow-back white-text" aria-hidden="true"></i>
Back</a
>
<h1 class="logo mr-auto"><a href="index.html">Algovis.io</a></h1>
<!-- Uncomment below if you prefer to use an image logo -->
<!-- <a href="index.html" class="logo mr-auto"><img src="assets/img/logo.png" alt="" class="img-fluid"></a>-->
<nav class="nav-menu d-none d-lg-block">
<ul>
<li><a href="index.html">Home</a></li>
</ul>
</nav>
<!-- .nav-menu -->
</div>
</header>
<!-- End Header -->
<main id="main">
<!-- ======= Breadcrumbs ======= -->
<section id="breadcrumbs" class="breadcrumbs">
<div class="container-fluid">
<ol>
<li><a href="index.html">Home</a></li>
<li><a href="graphs.html">Graphs</a></li>
<li>Depth-first search</li>
</ol>
<h2>Depth-first search visualization</h2>
</div>
</section>
<!-- End Breadcrumbs -->
<section class="inner-page pt-4">
<div class="container-fluid px-0 mt-0">
<div class="row w-100 mx-auto">
<div class="col-sm-9 col-md-10 mx-0 px-0">
<span style="font-weight: bold">Draw your graph:</span>
</div>
<div class="col-sm-3 col-md-2 mr-0 px-0 my-0 py-0 text-right">
<button onclick="clearCanvas()" class="button-top">Clear</button
><button class="button-top ml-1" onclick="randomGraph()">
Random
</button>
</div>
</div>
<div class="data-container border-dark-nb p-1 mb-0 mt-0 w-100">
<svg id="visu"></svg>
</div>
<div class="w-100 row mx-auto border-dark-nt my-0 py-0">
<p id="nodes" class="my-0 py-0">()</p>
</div>
<div class="row mx-auto">
<div class="col-sm-12 col-md-12 col-lg-6 px-0 mr-0">
<div class="ide w-100">
<div class="row ml-auto mr-auto 1">
<span><span class="op">function</span> dfs(graph, v)</span>
</div>
<div class="row ml-auto mr-auto mt-1 2">
<span
>  visited[v] =
<span class="var">true</span></span
>
</div>
<div class="row ml-auto mr-auto mt-1 3">
<span>  neighbours = graph.getNeighboursOf(v)</span>
</div>
<div class="row ml-auto mr-auto mt-1 4">
<span
>  <span class="op">for</span>(i in
neighbours)</span
>
</div>
<div class="row ml-auto mr-auto mt-1 5">
<span
>    <span class="op">if</span
>(!visited[i])</span
>
</div>
<div class="row ml-auto mr-auto mt-1 6">
<span>      dfs(graph, i)</span>
</div>
</div>
</div>
<div class="col-sm-12 col-md-12 col-lg-6 ml-0 px-0">
<div class="ide w-100 pl-0">
<div class="row ml-auto mr-auto">
<span class="comment w-100">SHORT EXPLANATION</span>
</div>
<div class="row ml-auto mr-auto mt-1">
<span class="comment w-100">---------------------</span>
</div>
<div class="row ml-auto mr-auto mt-1">
<span class="comment">1. Visit the first vertex</span>
</div>
<div class="row ml-auto mr-auto mt-1">
<span class="comment"
>2. Find the first unvisited vertex this vertex has a
connection to.</span
>
</div>
<div class="row ml-auto mr-auto mt-1">
<span class="comment"
>3. Recursively visit this vertex and repeat step 2 until
there are no more unvisited vertices.</span
>
</div>
<div class="row ml-auto mr-auto mt-1">
<span class="comment"
>4. Repeat steps 2 and 3 for each step of the
recurison.</span
>
</div>
</div>
</div>
</div>
<hr data-content="Instructions" class="hr-text mb-3 mt-4" />
<div class="row mx-auto">
<div class="col-sm-12 col-md-12 col-lg-6">
<form>
<div class="row">
<div class="col-12">
To draw a new vertex, simply click anywhere on the canvas
above.<br />
To create an edge between two vertices, click on the first
vertex and then on the second one.<br />
You can create a random graph by clicking on the 'Random'
button above the canvas.<br />
To clear the canvas, use the 'Clear' button.
</div>
</div>
</form>
</div>
<div class="col-sm-12 col-md-12 col-lg-6">
<form>
<div class="form-group row">
<div class="col-sm-5">Speed:</div>
<div class="col-sm-7">
<span>Slow </span>
<input
id="speedslider"
data-slider-id="speedSlider"
type="text"
data-slider-min="350"
data-slider-max="1000"
data-slider-step="10"
data-slider-value="500"
/>
<span> Fast</span>
</div>
</div>
<div class="form-group row">
<div class="col-sm-5">Start:</div>
<div class="col-sm-7">
<input
id="start-node"
type="text"
class="form-control"
id="data-input"
placeholder="0"
/>
</div>
</div>
</form>
</div>
</div>
<div class="row mx-auto">
<div class="col-lg-6"></div>
<div class="col-sm-12 col-md-12 col-lg-6">
<button
id="start-button"
type="button"
onclick="runDfs()"
class="btn btn-danger red w-100"
>
Start
</button>
</div>
<div class="col-4"></div>
</div>
</div>
</section>
</main>
<!-- ======= Footer ======= -->
<footer id="footer">
<div class="footer-top">
<div class="container">
<div class="row">
<div class="col-lg-4 col-md-6">
<div class="footer-info">
<h3>AlgoVis.io</h3>
<strong>Feel free to hit me up on social media:</strong><br />
<div class="social-links mt-3">
<a href="https://twitter.com/tobiasnoethlich" class="twitter"
><i class="icofont-twitter"></i
></a>
<a href="https://github.com/tobinatore" class="github"
><i class="icofont-github"></i
></a>
<a
href="https://www.xing.com/profile/Tobias_Noethlich/cv"
class="xing"
><i class="icofont-xing"></i
></a>
<a
href="https://www.linkedin.com/in/tobias-noethlich/"
class="linkedin"
><i class="icofont-linkedin"></i
></a>
</div>
</div>
</div>
<div class="col-lg-2 col-md-6 footer-links"></div>
<div class="col-lg-2 col-md-6 footer-links">
<h4>Useful Links</h4>
<ul>
<li>
<i class="bx bx-chevron-right"></i>
<a href="index.html">Home</a>
</li>
<li>
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<a href="index.html#about">About us</a>
</li>
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<a href="index.html#categories">Categories</a>
</li>
<li>
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<a href="#">Terms of service</a>
</li>
<li>
<i class="bx bx-chevron-right"></i>
<a href="privacypolicy.html">Privacy policy</a>
</li>
</ul>
</div>
</div>
</div>
</div>
<div class="container">
<div class="copyright">
© Copyright <strong><span>AlgoVis.io</span></strong
>. All Rights Reserved
</div>
<div class="credits">
<!-- All the links in the footer should remain intact. -->
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</footer>
<!-- End Footer -->
<a href="#" class="back-to-top"><i class="icofont-simple-up"></i></a>
<div id="preloader"></div>
<!-- Vendor JS Files -->
<script src="assets/vendor/jquery/jquery.min.js"></script>
<script src="assets/vendor/bootstrap/js/bootstrap.bundle.min.js"></script>
<script src="assets/vendor/jquery.easing/jquery.easing.min.js"></script>
<script src="assets/vendor/php-email-form/validate.js"></script>
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<script src="https://cdnjs.cloudflare.com/ajax/libs/bootstrap-slider/11.0.2/bootstrap-slider.min.js"></script>
<script src="https://d3js.org/d3.v5.js"></script>
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<!-- Template Main JS File -->
<script src="assets/js/main.js"></script>
<script>
const container = document.querySelector(".data-container");
var FLAG = false;
var DELAY = 500;
var w = globalThis.screen.availWidth;
var h = 370;
var data_nodes = [];
var data_edges = [];
var radius = 25;
var strokeWidth = "5px";
var drawing = false;
var xy0;
var xy1;
var g = new UnweightedUndirectedGraph();
var vertexCount = 0;
var firstVert;
var secVert;
var visited = [];
var running = false;
function setDelay(delay) {
DELAY = delay;
}
var xScale = d3.scaleLinear().domain([0, w]).range([0, w]);
var yScale = d3.scaleLinear().domain([0, h]).range([0, h]); // Set margins for y specific
var svg = d3.select("#visu");
svg.append("g").attr("id", "g-paths");
svg.on("click", async function () {
if (!running) {
var coords = d3.mouse(this);
drawing = false;
await newVertex(coords);
}
});
async function newVertex(coords) {
return new Promise((resolve) => {
var newData = {
x: Math.round(xScale.invert(coords[0])), // Takes the pixel number to convert to number
y: Math.round(yScale.invert(coords[1])),
};
data_nodes.push(newData); // Push data to our array
g.addVertex(vertexCount++);
var groups = svg
.selectAll("circle") // For new circle, go through the update process
.data(data_nodes)
.enter()
.append("g")
.attr("id", function (d, i) {
return "g" + i;
});
groups
.append("circle")
.attr("cx", function (d) {
return xScale(d.x);
}) // Get attributes from circleAttrs var
.attr("cy", function (d) {
return yScale(d.y);
})
.transition()
.duration(500)
.attr("r", radius)
.attr("fill", "white")
.attr("stroke", "black")
.attr("stroke-width", strokeWidth)
.attr("id", function (d, i) {
return "circle" + i;
});
setTimeout(() => {
groups
.append("text")
.text(function (d, i) {
return i;
})
.attr("x", function (d) {
return xScale(d.x) - 5;
}) // Get attributes from circleAttrs var
.attr("y", function (d) {
return yScale(d.y) + 5;
})
.attr("font-family", "sans-serif")
.attr("font-size", "18px")
.attr("font-weight", "bold");
}, 300);
groups.on("click", function (d, i) {
var e = d3.event;
e.cancelBubble = true;
if (e.stopPropagation) e.stopPropagation();
if (!running) {
if (!drawing) {
drawing = true;
var choords = d3.mouse(this);
xy0 = {
x: Math.round(xScale.invert(coords[0])), // Takes the pixel number to convert to number
y: Math.round(yScale.invert(coords[1])),
};
firstVert = i;
svg.select("#circle" + i).attr("stroke", "#CC1616");
} else {
//drawing = false;
var choords = d3.mouse(this);
secVert = i;
xy1 = {
x: Math.round(xScale.invert(coords[0])), // Takes the pixel number to convert to number
y: Math.round(yScale.invert(coords[1])),
};
var line = d3
.line()
.x(function (d) {
return d.x;
})
.y(function (d) {
return d.y;
})
.curve(d3.curveLinear);
if (xy0.x != xy1.x || xy0.y != xy1.y) {
if (!g.edgeExists(firstVert, secVert)) {
g.addEdge(firstVert, secVert);
svg
.select("#g-paths")
.append("path")
.transition()
.duration(300)
.attr("d", line([xy0, xy1]))
.attr("stroke", "#171717")
.attr("stroke-width", 4)
.attr("fill", "none")
.attr("id", function (d, i) {
data_edges.push({
v1: firstVert,
v2: secVert,
id: data_edges.length,
});
return "path" + (data_edges.length - 1);
});
}
}
drawing = false;
svg.select("#circle" + firstVert).attr("stroke", "black");
svg.select("#circle" + secVert).attr("stroke", "black");
}
}
});
setTimeout(() => {
groups.on("mouseover", function (d, i) {
if (!running) {
svg
.select("#circle" + i)
.transition()
.duration(250)
.attr("stroke", "#CC1616")
.attr("stroke-width", "10px");
}
});
groups.on("mouseout", function (d, i) {
if (!running) {
if (!drawing) {
svg
.select("#circle" + i)
.transition()
.duration(250)
.attr("stroke", "black")
.attr("stroke-width", "5px");
} else {
svg
.select("#circle" + i)
.transition()
.duration(250)
.attr("stroke-width", "5px");
}
}
});
}, 510);
setTimeout(() => {
resolve();
}, 350);
});
}
async function newEdge(v1, v2) {
return new Promise((resolve) => {
var xy_0 = data_nodes[v1];
var xy_1 = data_nodes[v2];
var line = d3
.line()
.x(function (d) {
return d.x;
})
.y(function (d) {
return d.y;
})
.curve(d3.curveLinear);
if (!g.edgeExists(v1, v2)) {
g.addEdge(v1, v2);
svg
.select("#g-paths")
.append("path")
.transition()
.duration(300)
.attr("d", line([xy_0, xy_1]))
.attr("stroke", "#171717")
.attr("stroke-width", 4)
.attr("fill", "none")
.attr("id", function (d, i) {
data_edges.push({ v1: v1, v2: v2, id: data_edges.length });
return "path" + (data_edges.length - 1);
});
}
setTimeout(() => {
resolve();
}, 300);
});
}
async function findEdgeForAnim(qe, nb) {
return new Promise((resolve) => {
for (var i in data_edges) {
var stop = false;
if (
(data_edges[i].v1 == qe && data_edges[i].v2 == nb) ||
(data_edges[i].v1 == nb && data_edges[i].v2 == qe)
) {
d3.select("#path" + data_edges[i].id)
.transition()
.duration(DELAY)
.attr("stroke", "#CC1616")
.attr("stroke-width", 10);
setTimeout(() => {
d3.select("#path" + data_edges[i].id)
.transition()
.duration(DELAY)
.attr("stroke", "#171717")
.attr("stroke-width", 4);
}, DELAY);
setTimeout(() => {
resolve();
}, DELAY * 2);
break;
}
}
}, 1000);
}
function highlightCode(elementClass) {
$(".code-highlight").removeClass("code-highlight");
$(`.${elementClass}`).addClass("code-highlight");
}
async function runDfs() {
$("#nodes").html("()");
running = true;
var v =
!$("#start-node").val() ||
Number($("#start-node").val() > data_nodes.length - 1)
? 0
: Number($("#start-node").val());
$("#start-button").prop("disabled", true);
$(".button-top").prop("disabled", true);
visited = [];
for (var x = 0; x < data_nodes.length; x++) {
visited[x] = false;
}
await dfs(g, v);
$("#start-button").prop("disabled", false);
$(".button-top").prop("disabled", false);
running = false;
}
async function timeout(delay) {
await new Promise((resolve) =>
setTimeout(() => {
resolve();
}, delay)
);
}
async function dfs(graph, v) {
highlightCode("2");
await timeout(DELAY / 10);
visited[v] = true;
d3.select("#circle" + v)
.transition()
.duration(DELAY)
.attr("stroke", "#CC1616")
.attr("stroke-width", "10px");
highlightCode("3");
await timeout(DELAY / 10);
var neighbours = graph.adjList.get(v);
var currText = Array.from($("#nodes").text());
currText.splice(currText.length - 1, 0, v.toString() + " ");
currText = currText.join("");
$("#nodes").html(currText);
highlightCode("4");
await timeout(DELAY / 10);
for (var i in neighbours) {
highlightCode("5");
await findEdgeForAnim(v, neighbours[i]);
if (!visited[neighbours[i]]) {
d3.select("#circle" + v)
.transition()
.duration(DELAY)
.attr("stroke", "black")
.attr("stroke-width", "5px");
highlightCode("6");
await timeout(DELAY / 10);
await dfs(graph, neighbours[i]);
d3.select("#circle" + v)
.transition()
.duration(DELAY)
.attr("stroke", "#CC1616")
.attr("stroke-width", "10px");
}
d3.select("#circle" + neighbours[i])
.transition()
.duration(DELAY)
.attr("stroke", "black")
.attr("stroke-width", "5px");
}
d3.select("#circle" + v)
.transition()
.duration(DELAY)
.attr("stroke", "black")
.attr("stroke-width", "5px");
highlightCode("0");
}
function clearCanvas() {
data_edges = [];
data_nodes = [];
vertexCount = 0;
g = new UnweightedUndirectedGraph();
drawing = false;
svg.selectAll("*").remove();
svg.append("g").attr("id", "g-paths");
}
function getRowCol(numVerts, taken) {
row = Math.round(Math.random() * (numVerts - 1));
col = Math.round(Math.random() * (numVerts - 1));
while (taken[row][col]) {
row = Math.round(Math.random() * (numVerts - 1));
col = Math.round(Math.random() * (numVerts - 1));
}
taken[row][col] = true;
return { row: row, col: col, taken: taken };
}
async function randomGraph() {
$("#start-button").prop("disabled", true);
$(".button-top").prop("disabled", true);
var numberVerts = Math.round(Math.random() * 4 + 4);
var maxEdges = (numberVerts * (numberVerts - 1)) / 2;
var numberEdges = Math.round(
Math.random() * (maxEdges - numberVerts) + numberVerts
);
var cellHeight = Math.round(h / 6);
var cellWidth = Math.round(w / 6);
var row = 0;
var col = 0;
var x = 0;
var y = 0;
var v1;
var v2;
var taken = [];
for (let x = 0; x < 6; x++) {
var row = [];
for (let y = 0; y < 6; y++) {
row.push(false);
}
taken.push(row);
}
clearCanvas();
for (let i = 0; i < numberVerts; i++) {
var rowcol = getRowCol(6, taken);
row = rowcol.row;
col = rowcol.col;
taken = rowcol.taken;
x = Math.round(cellWidth * col + Math.random() * 25);
y = Math.round(cellHeight * row + Math.random() * 25);
await newVertex([x, y]);
}
for (let j = 0; j < numberEdges; j++) {
v1 = Math.round(Math.random() * (numberVerts - 1));
v2 = Math.round(Math.random() * (numberVerts - 1));
let breaker = 0;
while (v1 == v2 || g.edgeExists(v1, v2)) {
if (breaker < 100) {
v2 = Math.round(Math.random() * (numberVerts - 1));
}
await new Promise((resolve) =>
setTimeout(() => {
resolve();
}, DELAY / 10)
);
breaker++;
}
if (breaker < 100) await newEdge(v1, v2);
}
$("#start-button").prop("disabled", false);
$(".button-top").prop("disabled", false);
}
</script>
<script>
$(document).ready(function () {
d3.select("#visu")
.attr("width", "100%")
.attr("height", "370")
.attr("viewBox", "0 0 " + globalThis.screen.availWidth + " 370");
var speedSlider = new Slider("#speedslider", {
reversed: true,
tooltip: "none",
handle: "square",
});
speedSlider.on("slide", function (slideEvt) {
setDelay(slideEvt);
});
});
</script>
</body>
</html>