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Java includes a special utility class for processing arrays. The name of this class is Arrays, and it is defined in the java.util package. EXAMPLE 2.3 Using the java.util.Arrays Class
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This program imports the Arrays class from the java.util package to access the sort(), binarySearch(), fill(), and equals() methods. It also imports the static print() method from Example 2.2.
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import java.util.Arrays; public class TestArrays { public static void main(String[] args) { int[] a = {44, 77, 55, 22, 99, 88, 33, 66}; print(a); Arrays.sort(a); print(a); int k = Arrays.binarySearch(a, 44); System.out.printf("Arrays.binarySearch(a, 44): %d%n", k); System.out.printf("a[%d]: %d%n", k, a[k]); k = Arrays.binarySearch(a, 45); System.out.printf("Arrays.binarySearch(a, 45): %d%n", k); int[] b = new int[8]; print(b); Arrays.fill(b, 55); print(b); System.out.println("Arrays.equals(a,b): " + Arrays.equals(a,b)); } }
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44 77 55 22 99 88 33 66 22 33 44 55 66 77 88 99 Arrays.binarySearch(a, 44): 2 a[2]: 44 Arrays.binarySearch(a, 45): -4 0 0 0 0 0 0 0 0 55 55 55 55 55 55 55 55 Arrays.equals(a,b): false The array a[] is created and printed at lines 5 6. At line 7, the call Arrays.sort(a) sorts the elements
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of the array, putting them in ascending order, as we can see from the output from line 8. At line 9, the Arrays.binarySearch() method is invoked. The second argument, 44, is the search target. The method returns the index 2, which is assigned to k at line 9. Line 11 verifies that 44 is indeed the value of a[2]. The method is invoked again at line 13, this time searching for the target 45. The value is not found in the array, so the method returns a negative number, k = 4. When this happens, the index i = k 1 will be the position in the array where the target element should be inserted to maintain the ascending order of the array. Note that, in this case, i = k 1 = 3, and 45 should be inserted at a[3] since there are three elements in the array that are less than 45. The output from line 17 shows how the Arrays.fill() method works: It filled the eight-element array b[] with the argument 55.
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Finally, line 18 shows how the Arrays.equals() method works. It will return true only if the two arrays have the same element type (as a[] and b[] do: int[]), the same length (as a[] and b[] do: 8), and the same values at each element (a[] and b[] do not).
The java.util.Arrays class is outlined in more detail in page 95. THE SEQUENTIAL SEARCH ALGORITHM The sequential search (also called the linear search) is the simplest search algorithm. It is also the least efficient. It simply examines each element sequentially, starting with the first element, until it finds the key element or it reaches the end of the array. If you were looking for someone on a moving passenger train, you would use a sequential search. Here is the sequential search algorithm: (Postcondition: either the index i is returned where si = x, or 1 is returned.) 1. Repeat steps 2 3, for i = 0 to n 1. 2. (Invariant: none of the elements in the subsequence {s 0...s i 1} is equal to x.) 3. If s i = x, return i . 4. Return 1. It is implemented in Example 2.4. EXAMPLE 2.4 The Sequential Search
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public class TestBinarySearch { public static void main(String[] args) { int[] a = {22, 33, 44, 55, 66, 77, 88, 99}; ch02.ex02.DuplicatingArrays.print(a); System.out.println("search(a, 44): " + search(a, 44)); System.out.println("search(a, 50): " + search(a, 50)); System.out.println("search(a, 77): " + search(a, 77)); System.out.println("search(a, 100): " + search(a, 100)); } public static int search(int[] a, int x) { // POSTCONDITIONS: returns an integer i; // if i >= 0, then a[i] == x; for (int i=0; i<a.length; i++) { // INVARIANT: x is not among a[0]...a[i-1] if (a[i] == x) { return i; } } return -1; } }
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