8 elementary sorts
Transcript of 8 elementary sorts
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Elementary Sorts
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Outline Rules of the game Selection Sort Insertion Sort Comparing the two algorithms Bubble Sort
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Rules of the game Our primary concern is algorithms for rearranging arrays of items where each item
contains a key. The objective is to rearrange the items such that their keys are in ascending order. Sort algorithms main operations:
1. Compare objects2. Exchange them
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Rules of the game (cont.) In Java, the main operations are:
1. The method less() that compares objects2. The method exch() that exchanges them.
private static boolean less(Comparable v, Comparable w) { return (v.compareTo(w) < 0);}
private static void exch(Comparable[] a, int i, int j) { Comparable swap = a[i]; a[i] = a[j]; a[j] = swap;}
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Rules of the game (cont.) Sorting cost model: When studying sorting algorithms, we count
compares exchanges.
Extra memory: The sorting algorithms we consider divide into two basic types:1. Sort in place
• (no extra memory except perhaps for a small function-call stack or a constant number of instance variables)
2. Extra memory• to hold another copy of the array to be sorted