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1 Reread the code in Display 109 Then, write a class TwoD that implements the two-dimensional dynamic array of doubles using ideas from this display in its constructors You should have a private member of type pointer to double to point to the dynamic array, and two int (or unsigned int) values that are MaxRows and MaxCols You should supply a default constructor for which you are to choose a default maximum row and column sizes and a parameterized constructor that allows the programmer to set maximum row and column sizes Further, you should provide a void member function that allows setting a particular row and column entry and a member function that returns a particular row and column entry as a value of type double Remark: It s difficult or impossible (depending on the details) to overload [] so it works as you would like for two-dimensional arrays So simply use accessor and mutator functions using ordinary function notation Overload the + operator as a friend function to add two two-dimensional arrays This function should return the TwoD object whose ith row, jth column element is the sum of the ith row, jth column element of the left-hand operand TwoD object and the ith row, jth column element of the right-hand operand TwoD object Provide a copy constructor, an overloaded operator=, and a destructor Declare class member functions that do not change the data as const members
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2 Using dynamic arrays, implement a polynomial class with polynomial addition, subtraction, and multiplication Discussion: A variable in a polynomial does nothing but act as a placeholder for the coefficients Hence, the only interesting thing about polynomials is the array of coefficients and the corresponding exponent Think about the polynomial
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x*x*x + x + 1
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Where is the term in x*x One simple way to implement the polynomial class is to use an array of doubles to store the coefficients The index of the array is the exponent of the corresponding term If a term is missing, then it simply has a zero coefficient There are techniques for representing polynomials of high degree with many missing terms These use so-called sparse matrix techniques Unless you already know these techniques, or learn very quickly, don t use these techniques Provide a default constructor, a copy constructor, and a parameterized constructor that enables an arbitrary polynomial to be constructed
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Supply an overloaded operator = and a destructor Provide these operations: polynomial + polynomial, constant + polynomial, polynomial + constant, polynomial - polynomial, constant - polynomial, polynomial - constant polynomial * polynomial, constant * polynomial, polynomial * constant, Supply functions to assign and extract coefficients, indexed by exponent Supply a function to evaluate the polynomial at a value of type double You should decide whether to implement these functions as members, friends, or standalone functions
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SEPARATE COMPILATION 458 Encapsulation Reviewed 459 Header Files and Implementation Files 460 Example: DigitalTime Class 468 Tip: Reusable Components 469 Using #ifndef 469 Tip: Defining Other Libraries 472 NAMESPACES 473 Namespaces and using Directives 473 Creating a Namespace 475 Using Declarations 478 Qualifying Names 480 Example: A Class Definition in a Namespace 482 Tip: Choosing a Name for a Namespace 482 Unnamed Namespaces 484 Pitfall: Confusing the Global Namespace and the Unnamed Namespace 490 Tip: Unnamed Namespaces Replace the static Qualifier 491 Tip: Hiding Helping Functions 491 Nested Namespaces 491 Tip: What Namespace Specification Should You Use 492 CHAPTER SUMMARY 495 ANSWERS TO SELF-TEST EXERCISES 495 PROGRAMMING PROJECTS 497
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This chapter covers two topics that have to do with how to organize a C++ program into separate parts Section 111 on separate compilation discusses how a C++ program can be distributed across a number of les so that when some parts of the program change only those parts need to be recompiled and so that the separate parts can be more easily reused in other applications Section 112 discusses namespaces, which were introduced brie y in 1 Namespaces are a way of allowing you to reuse the names of classes, functions, and other items by qualifying the names to indicate different uses Namespaces divide your code into sections so that the different sections may reuse the same names with differing meanings They allow a kind of local meaning for names that is more general than local variables This chapter can be covered earlier than its location in the book This chapter does not use any of the material from s 5 (arrays), 9 (strings), 10 (pointers and dynamic arrays) or Section 73 (vectors) of 7
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