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public Term(double coef, int exp) { if (coef == 0.0 || exp < 0) { throw new IllegalArgumentException(); } this.coef = coef; this.exp = exp; } public Term(Term that) { // copy constructor this(that.coef, that.exp); } } }
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Instead of using inheritance by extending a List class, this Polynomial class uses composition, declaring a list field at line 2. This design gives the user more control over the class by limiting it to only those methods actually defined in the class. Of course, those methods are mostly implemented by means of List methods. The list backing structure is declared to be a LinkedList<Term> collection. So each element of the list is a Term object. The list stores the polynomial s nonzero terms in increasing order of their exponents. The Term class is defined as an inner class at lines 102 117, that is, a static member class. It has two fields, coef and exp (for the coefficient and the exponent of the term), and two constructors. The second constructor (line 114) is a copy constructor, creating a duplicate of the term passed to it. It uses the this keyword to invoke the two-argument constructor defined at line 106. The Polynomial class has four constructors and four methods. The default constructor (also called the no-arg constructor ) defined at line 8 is declared to be private. This prevents it from being used outside of its class. Its purpose is to construct the Polynomial object that represents the zero polynomial, and it is invoked at line 3 to do that. To ensure that that object is unique, we prevent it from being constructed anywhere else. The constructor at line 8 creates a Polynomial object that represents a single term, such as 88.8x44. The constructor at line 14 is a copy constructor, which duplicates the object passed to it. The constructor at line 20 uses the Java var-args syntax to allow a variable number of arguments, in this case of type double. This is the same as a single argument of type double[]. That constructor creates a polynomial whose coefficients are the nonzero values in the array, each one generating a term of the form cn x n, where cn = a[n]. For example, the array {4, 0, 7, 0, 0, 0, 3} would produce the Polynomial object that represents 4 + 7x2 + 3x6. The degree() method at line 28 returns the polynomial s highest exponent. Since the terms are maintained in the list in increasing order of their exponents, the degree of the polynomial is the simply the exp field of the last element in the list. That element has index list.size()-1, so the expression at line 32 does the job.
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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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