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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>Quicksort - AlgoVis.io</title>
<meta
content="AlgoVis is an online algorithm visualization tool."
name="description"
/>
<meta content="algorithm visualization tool online" name="keywords" />
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<a class="btn back-button mr-4" href="sorting.html"
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<li><a href="index.html">Home</a></li>
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<li>Quicksort</li>
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<h2>Quicksort visualization</h2>
</div>
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<!-- End Breadcrumbs -->
<section class="inner-page pt-4">
<div class="container-fluid px-0 mt-2">
<div class="">
<span class="row mx-auto px-0 w-100"
><span class="font-weight-bold ml-2 mt-2 mb-2 compSpan"
>No. of comparisons: 0 </span
><span class="font-weight-bold ml-2 mt-2 mb-2 swapSpan"
>No. of swaps: 0
</span></span
>
<div class="data-container p-1 mb-0 mt-0 w-100">
<svg id="visu"></svg>
</div>
</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> partition(left,
right)</span
>
</div>
<div class="row ml-auto mr-auto mt-1 2">
<span>  pivot = right</span>
</div>
<div class="row ml-auto mr-auto mt-1 3">
<span>  i = left</span>
</div>
<div class="row ml-auto mr-auto mt-1 4">
<span>  j = right - 1</span>
</div>
<div class="row ml-auto mr-auto mt-1 5">
<span>  <span class="op">while</span>(i < j)</span>
</div>
<div class="row ml-auto mr-auto mt-1 6">
<span
>    <span class="op">while</span>(i <
right && list[i] < pivot)</span
>
</div>
<div class="row ml-auto mr-auto mt-1 7">
<span>      i += 1</span>
</div>
<div class="row ml-auto mr-auto mt-1 8">
<span
>    <span class="op">while</span>(j >
left && list[j] > pivot)</span
>
</div>
<div class="row ml-auto mr-auto mt-1 9">
<span>      j -= 1</span>
</div>
<div class="row ml-auto mr-auto mt-1 10">
<span
>    <span class="op">if</span>(i <
j)</span
>
</div>
<div class="row ml-auto mr-auto mt-1 11">
<span
>      <span class="op"
>swap</span
>(list[i], list[j])</span
>
</div>
<div class="row ml-auto mr-auto mt-1 12">
<span
>  <span class="op">if</span>(list[i] >
list[pivot])</span
>
</div>
<div class="row ml-auto mr-auto mt-1 13">
<span
>    <span class="op">swap</span
>(list[i], list[pivot])</span
>
</div>
<div class="row ml-auto mr-auto mt-1 14">
<span>  <span class="op">return</span> i</span>
</div>
<div class="row ml-auto mr-auto mt-1">
<span> </span>
</div>
<div class="row ml-auto mr-auto 15">
<span
><span class="op">function</span> quicksort(left,
right)</span
>
</div>
<div class="row ml-auto mr-auto mt-1 16">
<span
>  <span class="op">if</span>(left < right)</span
>
</div>
<div class="row ml-auto mr-auto mt-1 17">
<span
>    p =
<span class="op">partition</span>(left, right)</span
>
</div>
<div class="row ml-auto mr-auto mt-1 18">
<span
>    <span class="op">quicksort</span
>(left, p - 1)</span
>
</div>
<div class="row ml-auto mr-auto mt-1 19">
<span
>    <span class="op">quicksort</span>(p
+ 1, right)</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><span class="comment"> </span></span>
</div>
<div class="row ml-auto mr-auto mt-1">
<span class="comment"> </span>
</div>
<div class="row ml-auto mr-auto mt-1">
<span class="comment"> </span>
</div>
<div class="row ml-auto mr-auto mt-1">
<span class="comment"> </span>
</div>
<div class="row ml-auto mr-auto mt-1">
<span class="comment"> </span>
</div>
<div class="row ml-auto mr-auto mt-1">
<span class="comment text-center"> </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 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. Pick the last element as pivot
</span>
</div>
<div class="row ml-auto mr-auto mt-1">
<span class="comment"
>2. Reorder the array in the following way:</span
>
</div>
<div class="row ml-auto mr-auto mt-1">
<span class="comment">
- All elements less than the pivot come before the
pivot</span
>
</div>
<div class="row ml-auto mr-auto mt-1">
<span class="comment">
- All elements greater than the pivot come after the
pivot</span
>
</div>
<div class="row ml-auto mr-auto mt-1">
<span class="comment"
>3. Recursively apply the above steps to each sublist</span
>
</div>
<div class="row ml-auto mr-auto mt-1">
<span> </span>
</div>
<div class="row ml-auto mr-auto">
<span class="comment"> </span>
</div>
<div class="row ml-auto mr-auto mt-1">
<span class="comment"> </span>
</div>
<div class="row ml-auto mr-auto mt-1">
<span class="comment"> </span>
</div>
<div class="row ml-auto mr-auto mt-1">
<span class="comment text-center w-100"> </span>
</div>
<div class="row ml-auto mr-auto mt-1">
<span class="comment text-center w-100"> </span>
</div>
</div>
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<button
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type="button"
onclick="runQuicksort()"
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Sort
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}
});
</script>
<script>
const container = document.querySelector(".data-container");
var FLAG = false;
var DELAY = 200;
var w = globalThis.screen.availWidth;
var h = 370;
var barPadding = 5;
var data = [];
var x;
var svg = d3.select("#visu");
var comparisons = 0;
var swaps = 0;
function setDelay(delay) {
DELAY = delay;
}
function clamp(number, min, max) {
return Math.max(min, Math.min(number, max));
}
function newSet(num = 20) {
data = [];
for (let i = 0; i < num; i++) {
data.push(Math.floor(Math.random() * 119) + 1);
}
clearBlocks();
generateBlocks(data);
}
function stop() {
FLAG = true;
}
function ownData(d = "1,2,3,4,5,6") {
data = d.split(",");
if (data.length > 50) {
data = data.slice(0, 50);
}
for (let i = 0; i < data.length; i++) {
data[i] = clamp(data[i], 0, 119);
}
clearBlocks();
generateBlocks(data);
}
async function slide(i, j) {
return new Promise((resolve) => {
var calcTransl2 = x(i);
var calcTransl1 = x(j);
swaps++;
$(".swapSpan").html(`No. of swaps: ${swaps}`);
var text1 = d3
.select("#text" + i)
.transition("text1")
.duration(DELAY)
.attr("transform", function (d) {
return (
"translate(" + (calcTransl1 + w / data.length / 2) + ", 0)"
);
});
var rect1 = d3
.select("#rect" + i)
.transition("rect1")
.duration(DELAY)
.attr("transform", function (d) {
return "translate(" + calcTransl1 + ", 0)";
});
var text2 = d3
.select("#text" + j)
.transition("text2")
.duration(DELAY)
.attr("transform", function (d) {
return (
"translate(" + (calcTransl2 + w / data.length / 2) + ", 0)"
);
});
var rect2 = d3
.select("#rect" + j)
.transition("rect2")
.duration(DELAY)
.attr("transform", function (d) {
return "translate(" + calcTransl2 + ", 0)";
});
text1.attr("id", "text" + j);
rect1.attr("id", "rect" + j);
text2.attr("id", "text" + i);
rect2.attr("id", "rect" + i);
setTimeout(
() => {
resolve();
},
DELAY < 100 ? DELAY * 5 : DELAY * 2
);
}, 600);
}
function clearBlocks() {
svg.selectAll("rect").data([]).exit().remove();
svg.selectAll("text").data([]).exit().remove();
}
function generateBlocks(data) {
x = d3.scaleLinear().domain([0, data.length]).range([0, w]);
var bars = svg
.selectAll("rect")
.data(data)
.enter()
.append("rect")
.attr("transform", function (d, i) {
return "translate(" + x(i) + ",0)";
})
.attr("y", function (d) {
return h - d * 3;
})
.attr("width", w / data.length - barPadding)
.attr("height", function (d) {
return d * 3;
})
.attr("fill", "#CC1616")
.attr("id", function (d, i) {
return "rect" + i;
});
var labels = svg
.selectAll("text")
.data(data)
.enter()
.append("text")
.text(function (d) {
return d;
})
.attr("transform", function (d, i) {
return "translate(" + (x(i) + w / data.length / 2) + ",0)";
})
.attr("y", function (d) {
return h - d * 3 - 5;
})
.attr("font-family", "sans-serif")
.attr("font-size", "14px")
.attr("fill", "black")
.attr("text-anchor", "middle")
.attr("id", function (d, i) {
return "text" + i;
});
}
function highlightCode(elementClass) {
$(".code-highlight").removeClass("code-highlight");
$(`.${elementClass}`).addClass("code-highlight");
}
async function runQuicksort() {
$("#sort-button, #data-input").prop("disabled", true);
$(".disableSlider").prop("hidden", true);
comparisons = 0;
swaps = 0;
await quicksort();
$("#sort-button, #data-input").prop("disabled", false);
$(".disableSlider").prop("hidden", false);
}
async function partition(left, right) {
highlightCode("2");
let pivot = data[right];
d3.select("#rect" + right).attr("fill", "#FACF5A");
highlightCode("3");
let i = left;
highlightCode("4");
let j = right - 1;
await new Promise((resolve) =>
setTimeout(() => {
resolve();
}, DELAY)
);
highlightCode("5");
while (i < j) {
highlightCode("6");
while (i < right && data[i] < pivot) {
comparisons += 1;
$(".compSpan").text(`No. of comparisons: ${comparisons}`);
highlightCode("7");
i = i + 1;
d3.select("#rect" + i).attr("fill", "#9DBDC6");
d3.select("#rect" + (i - 1)).attr("fill", "#CC1616");
await new Promise((resolve) =>
setTimeout(() => {
resolve();
}, DELAY)
);
}
while (j > left && data[j] >= pivot) {
highlightCode("8");
comparisons += 1;
$(".compSpan").text(`No. of comparisons: ${comparisons}`);
j = j - 1;
highlightCode("9");
d3.select("#rect" + j).attr("fill", "#1764B3");
d3.select("#rect" + (j + 1)).attr("fill", "#CC1616");
await new Promise((resolve) =>
setTimeout(() => {
resolve();
}, DELAY)
);
}
highlightCode("10");
if (i < j) {
highlightCode("11");
await slide(i, j);
var temp = data[i];
data[i] = data[j];
data[j] = temp;
d3.select("#rect" + i).attr("fill", "#CC1616");
d3.select("#rect" + j).attr("fill", "#CC1616");
}
}
highlightCode("12");
if (data[i] > pivot) {
highlightCode("13");
await slide(i, right);
var temp = data[i];
data[i] = data[right];
data[right] = temp;
d3.select("#rect" + i).attr("fill", "#171717");
} else {
d3.select("#rect" + right).attr("fill", "#171717");
}
highlightCode("14");
return i;
}
async function quicksort(delay = DELAY, left = 0, right = -10) {
if (right == -10) {
right = data.length - 1;
}
var swaps = 0;
var comparisons = 0;
highlightCode("15");
await new Promise((resolve) =>
setTimeout(() => {
resolve();
}, DELAY)
);
if (left < right) {
highlightCode("16");
await new Promise((resolve) =>
setTimeout(() => {
resolve();
}, DELAY)
);
highlightCode("1");
var p = await partition(left, right);
highlightCode("17");
await new Promise((resolve) =>
setTimeout(() => {
resolve();
}, DELAY)
);
await quicksort(DELAY, left, p - 1);
for (let i = 0; i < p; i++) {
d3.select("#rect" + i).attr("fill", "#171717");
}
highlightCode("18");
await new Promise((resolve) =>
setTimeout(() => {
resolve();
}, DELAY)
);
await quicksort(DELAY, p + 1, right);
for (let i = 0; i <= right; i++) {
d3.select("#rect" + i).attr("fill", "#171717");
}
highlightCode("20");
}
}
newSet(15);
</script>
</body>
</html>