Recursive Binary Search
{
public static final int NOT_FOUND = -1;
/**
* Performs the standard binary search
* using two comparisons per level.
* This is a driver that calls the recursive method.
* @return index where item is found or NOT_FOUND if not found.
*/
public static int binarySearch( Comparable [ ] a, Comparable x )
{
return binarySearch( a, x, 0, a.length -1 );
}
/**
* Hidden recursive routine.
*/
private static int binarySearch( Comparable [ ] a, Comparable x,int low, int high )
{
if( low > high )
return NOT_FOUND;
int mid = ( low + high ) / 2;
if( a[ mid ].compareTo( x ) < 0 )
return binarySearch( a, x, mid + 1, high );
else if( a[ mid ].compareTo( x ) > 0 )
return binarySearch( a, x, low, mid - 1 );
else
return mid;
}
// Test program
public static void main( String [ ] args )
{
int SIZE = 8;
Comparable [ ] a = new Integer [ SIZE ];
for( int i = 0; i < SIZE; i++ )
a[ i ] = new Integer( i * 2 );
for( int i = 0; i < SIZE * 2; i++ )
System.out.println( "Found " + i + " at " +
binarySearch( a, new Integer( i ) ) );
}
}