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<title>Bubble Sort</title>
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<h2 id="toc_0.1">Bubble Sort</h2>
<dl>
<dt>Stats</dt>
<dd>Worst Case Performance: O(n<sup><small>2</small></sup>)</dd>
<dd>Best Case Performance: O(n)</dd>
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<h3 id="toc_0.1.1">Optimized Psuedocode</h3>
<p>
Bubble Sort can be optimized by observing that the n-th pass finds the n-th largest element and puts it into its final place. So the inner loop can avoid looking at the last n-1 items when running for the n-th time.
</p>
<pre>
function bubbleSort(items) {
n = count(items);
swapped = false;
while(!swapped) {
swapped = false;
for(i = 1; i < n; i++) {
if(items[i-1] > items[i]) {
tmp = items[i-1];
items[i-1] = items[i];
items[i] = tmp;
swapped = true;
}
}
n = n-1;
}
}
</pre>
<h3 id="toc_0.1.2">Unoptimized Psuedocode</h3>
<pre>
function bubbleSort(items) {
swapped = false;
while(!swapped) {
swapped = false;
for(i = 1; i < count(items); i++) {
if(items[i-1] > items[i]) {
tmp = items[i-1];
items[i-1] = items[i];
items[i] = tmp;
swapped = true;
}
}
}
}
</pre>
<h3 id="toc_0.1.3">Additional Info</h3>
<p>
Wikipedia Article: [<a href="http://en.wikipedia.org/wiki/Bubble_sort]">http://en.wikipedia.org/wiki/Bubble_sort]</a>
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