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[CHAP. 7
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The plus() method at line 40 returns a new object that represents the sum of the implicit argument (this) and the explicit argument (p). That result, instantiated as q at line 44, is built by means of the three while loops ate lines 50 68. The first loop repeatedly compares the exponents of a term from each polynomial (this and p), duplicates the one with the smaller exponent, and adds it to q. If the two terms are equal, then their coefficients are added (at line 57) to form the new term. The loops use iterators to traverse the two lists. Since the term whose coefficient was not yet used has to be accessed again on the next iteration, its iterator has to be backed up (at lines 55 and 60). Consequently, we need the bidirectional iterators provided by the listIterator() method. The toString() method uses a unidirectional iterator to traverse the list at line 80 to generate a string representation of the Polynomial object.
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EXAMPLE 7.8 Testing the Polynomial Class
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public class TestPolynomial { public static void main(String[] args) { Polynomial p = new Polynomial(3, -8, 0, 0, 2, 1); Polynomial q = new Polynomial(0, 5, 6, 9); System.out.println("p: " + p); System.out.println("p.degree(): " + p.degree()); System.out.println("q: " + q); System.out.println("q.degree(): " + q.degree()); System.out.println("p.plus(q): " + p.plus(q)); System.out.println("q.plus(p): " + q.plus(p)); System.out.println("p.plus(q).degree(): " + p.plus(q).degree()); Polynomial z = new Polynomial(0); System.out.println("z: " + z); System.out.println("z.degree(): " + z.degree()); System.out.println("p.plus(z): " + p.plus(z)); System.out.println("z.plus(p): " + z.plus(p)); System.out.println("p: " + p); Polynomial t = new Polynomial(8.88, 44); System.out.println("t: " + t); System.out.println("t.degree(): " + t.degree()); } }
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p: 3.00 - 8.00x + 2.00x^4 + 1.00x^5 p.degree(): 5 q: 5.00x + 6.00x^2 + 9.00x^3 q.degree(): 3 p.plus(q): 3.00 - 3.00x + 6.00x^2 + q.plus(p): 3.00 - 3.00x + 6.00x^2 + p.plus(q).degree(): 5 z: 0 z.degree(): -1 p.plus(z): 3.00 - 8.00x + 2.00x^4 + z.plus(p): 3.00 - 8.00x + 2.00x^4 + p: 3.00 - 8.00x + 2.00x^4 + t: 8.88x^44 t.degree(): 44
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9.00x^3 + 2.00x^4 + 1.00x^5 9.00x^3 + 2.00x^4 + 1.00x^5
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The var-args constructor is tested at lines 3 4, and the two-argument constructor is tested at line 18. The other testing includes checking (at lines 9 10) that the plus() method is commutative: p + q = q + p, and (at lines 14 16) that the zero polynomial z satisfies the defining condition p + z = z + p = p.
CHAP. 7]
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Review Questions
7.1 7.2 7.3 7.4 7.5 7.6 7.7 What is the difference between the Collection interface and the List interface What is the difference between the AbstractCollection class and the AbstractList class What is the difference between the AbstractList class and the AbstractSequentialList class What is the difference between the Iterator interface and the ListIterator interface What is the difference between the ArrayList class and the LinkedList class What is the difference between an ArrayList object and a Vector object In deciding whether to use an ArrayList or a LinkedList in an application, what factors make one choice better than the other
Problems
7.1 Implement the following method:
public static void loadRandomLetters(LinkedList list, int n) // fills list with n randomly generated capital letters
7.2 7.3 7.4
Write a method that uses an iterator to print the contents of a linked list, one object per line. Write a method that uses an iterator to print the contents of a linked list in reverse order, one object per line. Write the following method:
public static void exchange(LinkedList list, int i, int j) // swaps the elements indexed at i and j
Modify the solution to the Josephus Problem (Example 7.6 on page 140) so that it also uses a SKIP parameter to generate the output. The value of SKIP is a constant nonnegative integer that specifies whom each soldier should kill. For example, if skip = 2, then A would kill D (skipping over B and C), E would kill H, and so forth. The original solution is then the special case where skip = 0. Assume that no one commits suicide. So if a killer s target turns out to be himself, he would kill the next man in the list. Write and test this method for the Polynomial class:
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