6.096 Introduction to C++
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1 MIT OpenCourseWare Introduction to C++ January (IAP) 2009 For information about citing these materials or our Terms of Use, visit:
2 MASSACHUSETTS INSTITUTE OF TECHNOLOGY 6.096: Introduction to C++ IAP 2009 PROBLEM SET 6 Initializer syntax: Some parts of the initialization of a class should not be performed directly in code. In particular, when a derived class is instantiated (i.e. when its constructor is called), the constructors of all its base classes are also called, but these constructors may require arguments, and the constructors are called automatically even before the code in the derived constructor is executed. Similarly, any reference data members must be initialized as they are created; they cannot be reassigned to point to different data within the constructor. C++ provides the initializer syntax to allow custom initialization of constructors and data members: DerivedClass::DerivedClass() : BaseClass(someNumber) { This allows calling the base class constructor with an argument. For initializing data members, the structure of this sort of statement is as follows: class_name::class_name(argument_list) : firstdatamembertoinitialize(initialvalue1), seconddatamembertoinitialize(initialvalue2) { This initialization method the colon after the constructor arguments, followed by a comma-separated list of initializations to perform can be used for any base class constructor or data member. It can also be used to call one constructor from another. To give one more example of the use of this syntax, a colorable Square class that inherits from a blackand-white Rectangle class might want to define a constructor like this: Square::Square(int sidelength, int colorcode) : Rectangle(sideLength, sidelength), color(colorcode) { Though some data members can be set directly with assignment statements within the constructor, base class constructors, data member constructors, references, and const data members must be initialized with this syntax. Problem 1 [15 points] a. Create a Time class that stores a time as a single number of type time_t (this is just another name for a certain type of integer). The constructor should take one argument the initial value
3 to set the internally stored time to. This argument should have a default value of time(0) (the time function is defined in the C++ Standard Library header <ctime>, and the 0 indicates that it should use the current time). Also create a getter function for the time stored in Time objects, and a setter function to allow changing the time the Time object stores later on. b. Rewrite the constructor to use the member initializer syntax instead of an assignment statement. Problem 2 [20 points] Create a class called Complex for performing arithmetic with complex numbers. Write a program to test your class. Complex numbers have the form realpart + imaginarypart * i where i is 1. Use double variables to represent the private data of the class. Provide a constructor that enables an object of this class to be initialized when it is declared. The constructor should contain default values in case no initial values are provided (a reasonable default number to set a complex number to is 0 + 0i ). Provide public member functions that perform the following tasks: a. Adding another Complex number: The real parts are added together and the imaginary parts are added together. b. Subtracting another Complex number: The real part of the right operand is subtracted from the real part of the left operand, and the imaginary part of the right operand is subtracted from the imaginary part of the left operand. c. Multiply by another Complex number: The product of the imaginary parts is subtracted from the product of the real parts to get the new real part, and the products of the imaginary and real and real and imaginary parts are added to form the new imaginary part. d. Print Complex numbers in the form (a, b), where a is the real part and b is the imaginary part. The member functions should each return another Complex object, and should be called with a syntax like complex1.add(complex2);. friend Functions and friend Classes: A friend function of a class is defined outside that class's scope, yet has the right to access the nonpublic (and public) members of the class. Standalone functions or entire classes may be declared to be friends of another class. If, for example, we wanted to declare a class to represent a person and a class to represent a dog, but we wanted to allow any object of the Person class to access any private data or functions of Dog objects, we might declare: class Dog { friend class Person; ; If we only want to allow the Person s Walk function to access private members Dog class, and we ve already declared the Person class (or have placed the declaration class Person;) earlier in the file,
4 we could specify: class Dog { friend void Person::Walk(); ; Static Class Members: There is an important exception to the rule that each object of a class has its own copy of all the data members of the class. In certain cases, only one copy of a variable should be shared by all objects of a class. A static data member is used for these and other reasons. The declaration of a static member begins with the static keyword. Although they may seem like global variables, a class s static data members have class scope. Also, static members can be declared public, private or protected. Member functions can also be declared static, meaning that no instance of a class is needed to access them. For instance, if we had a MartianInvader class which stored a class-wide static variable martiancount, we might define a static function getmartiancount as follows: static const int getmartiancount() { return martiancount; Any static class member can be accessed from within a class function. Additionally, any public class member can be accessed either via an object of the class or via the class name; the two definitions of count below are equivalent: MartianInvader mymartian; int count = mymartian.getmartiancount(); int count = MartianInvader::getMartianCount(); //Use scope resolution operator (::) Static member functions cannot access or modify non-static member data. Constant Member Functions: Declaring a member function with the const keyword specifies that the function is a read-only function that does not modify the object on which it is called. To declare a constant member function, place the const keyword after the closing parenthesis of the argument list. The const keyword is required in both the declaration and the definition. A constant member function cannot modify any data members or call any member functions that aren't also declared const. const int Date::getMonth() const { return month; // Doesn't modify anything; trying to modify a data member // from here would be a syntax error If an object of class Date would be declared as const Date tomorrow;, no non-const member functions could be called on it. Problem 3 [10 points]
5 Find the errors in the following class and explain how to correct them. class StockPurchase { public: StockPurchase(const double newprice) { // When someone buys a stock, modify the default price // according to how much they were willing to pay previousdefaultprice = defaultprice; currentprice = newprice; defaultprice = previousdefaultprice + (currentprice - previousdefaultprice) / 2.0; timelastchecked = time(0); // record the current timestamp static const double getdefaultprice() { return previousdefaultprice + (currentprice - previousdefaultprice) / 2.0; // Returns the current time, updating the timestamp to show // that this object was read recently const double getcurrentprice() const { timelastchecked = time(0); return currentprice; private: double previousdefaultprice, currentprice; static double defaultprice; time_t timelastchecked; // A time_t is basically just an integer Problem 4 [7 points] Fill in the blanks in each of the following statements (you may wish to refer to the chart on Page 15 of the lecture notes): 1. A base class s members can be accessed only in the base-class definition or in derived-class definitions. 2. A base class s members are accessible within that base class and anywhere that the program has a handle to an object of that base class or to an object of one of its derived classes. 3. A base class s protected access members have a level of protection between those of public and access. 4. When deriving a class from a base class with public inheritance, public members of the base class become members of the derived class, and protected members of the base class become members of the derived class. 5. When deriving a class from a base class with protected inheritance, public members of the base class become members of the derived class, and protected members of the base class become members of the derived class.
6 Problem 5 [32 points] Create an inheritance hierarchy containing base class Account and derived classes SavingsAccount and CheckingAccount that inherit from class Account. Make sure all return values, arguments, and member functions are declared const where appropriate. a. Base class Account should include one data member of type double to represent the account balance. The class should provide a constructor that receives an initial balance and uses it to initialize the data member. The constructor should validate the initial balance to ensure that it is greater than or equal to 0.0. If not, the balance should be set to 0.0 and the constructor should display an error message, indicating that the initial balance was invalid. (You may wish to use the cerr object, which functions just like cout except that it outputs to the standard error output rather than standard text output. Usually, but not always, the two are functionally similar.) The class should provide four member functions. Member function Credit should add an amount to the current balance. Member function Debit should withdraw money from the Account and ensure that the debit amount does not exceed the Account's balance. If it does, the balance should be left unchanged and the function should print the message "Debit amount exceeded account balance." Member function getbalance should return the current balance. b. Derived class SavingsAccount should inherit the functionality of an Account, but also include a data member of type double indicating the yearly interest rate (percentage) assigned to the Account. SavingsAccount's constructor should receive the initial balance, as well as an initial value for the SavingsAccount's interest rate. (Make sure to call the base class constructor appropriately.) SavingsAccount should provide a public member function calculateinterest that returns a double indicating the amount of interest earned by an account. Member function calculateinterest should take one integer argument indicating the number of years gone by, and should determine the interest amount by the formula I = B * (1+ r) t, where I is the interest, B is the initial balance, r is the interest rate, and t is the number of years gone by. [Note: SavingsAccount should inherit member functions credit and debit as is without redefining them.] c. Derived class CheckingAccount should inherit from base class Account and include an additional data member of type double that represents the fee charged per transaction. CheckingAccount's constructor should receive the initial balance, as well as a parameter indicating a fee amount. Class CheckingAccount should redefine member functions Credit and Debit so that they subtract the fee from the account balance whenever either transaction is performed successfully. CheckingAccount's versions of these functions should invoke the baseclass Account version to perform the updates to an account balance. CheckingAccount's debit function should charge a fee only if money is actually withdrawn (i.e., if the debit amount does not exceed the account balance). [Hint: Define Account's Debit function so that it returns a bool indicating whether money was withdrawn. Then use the return value in the CheckingAccount version of the function to determine whether a fee should be charged.]
7 Write a program that creates objects of each class and tests their member functions. Add interest to the SavingsAccount object by first invoking its calculateinterest function, then passing the returned interest amount to the object's Credit function. Classes and header files: Usually a class is defined in two separate files: a header file and an implementation file. If you are defining a class SomeClass, typically you would put the class declaration (class SomeClass {;) in a SomeClass.h file with function prototypes only, and then give all the function definitions in a SomeClass.cpp file (which includes SomeClass.h). The major exception to this is functions that are just one statement, such as getter and setter functions, which are usually small enough to fit into the header file. This makes for a modular program setup: main is in some file like main.cpp, and SomeClass is defined in SomeClass.h and SomeClass.cpp. You must then compile both main.cpp and SomeClass.cpp and link them together to get the final executable. Problem 6 [16 points] Define an Array class that expands the functionality of C++ arrays. Show how you would split your definition into an Array.h file and an Array.cpp file. The class should contain one data member that is a pointer to a dynamically allocated array of integers, and an integer that stores the current size of the array. The size integer should be const it should not be changeable after the class constructor is called. The class should have 3 constructors: one that takes just a number of elements to allocate (initializing them all to 0), another that takes a number of elements and an array of initial elements, and a copy constructor that allocates a new array of the same size as the Array that is being copied, and then copies the elements one by one. Define 4 member functions: getlength to return the number of elements in the Array; getelement to take an integer n and return a modifiable reference to the (n+1)th element of the array; another getelement function that is declared const and returns a non-modifiable reference; and a print function that takes a separator string and prints the elements one by one separated by the separator string. (For instance, myarray.print("\n") should print the array elements with newlines between each pair.) Also define a destructor to deallocate the memory that was allocated to the internal array when the Array object is destroyed. You do not need to define a main function that actually uses this class, but it will presumably be useful for testing purposes to try creating a few Array objects and manipulating them.
6.096 Introduction to C++
MIT OpenCourseWare http://ocw.mit.edu 6.096 Introduction to C++ January (IAP) 2009 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms. MASSACHUSETTS I STITUTE
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