Problem Solving with C++ (10th Edition)
Problem Solving with C++ (10th Edition)
10th Edition
ISBN: 9780134448282
Author: Walter Savitch, Kenrick Mock
Publisher: PEARSON
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Chapter 10, Problem 7PP

Write a rational number class. This problem will be revisited in Chapter 11, where operator overloading will make the problem much easier. For now we will use member functions add, sub, mul, div, and less that each carry out the operations +, -, *, /, and <. For example, a + b will be written a.add(b), and a < b will be written a.less(b).

Define a class for rational numbers. A rational number is a “ratio-nal” number, composed of two integers with division indicated. The division is not carried out, it is only indicated, as in 1/2, 2/3, 15/32, 65/4, 16/5. You should represent rational numbers by two int values, numerator and denominator.

A principle of abstract data type construction is that constructors must be present to create objects with any legal values. You should provide constructors to make objects out of pairs of int values; this is a constructor with two int parameters. Since every int is also a rational number, as in 2/1 or 17/1, you should provide a constructor with a single int parameter. Provide member functions input and output that take an istream and ostream argument, respectively, and fetch or write rational numbers in the form 2/3 or 37/51 to or from the keyboard (and to or from a file). Provide member functions add, sub, mul, and div that return a rational value. Provide a function less that returns a bool value. These functions should do the operation suggested by the name. Provide a member function neg that has no parameters and returns the negative of the calling object.

Provide a main function that thoroughly tests your class implementation.

The following formulas will be useful in defining functions.

a/b + c/d = (a * d + b * c) / (b * d)

a/b − c/d = (a * d − b * c) / (b * d)

(a/b) * (c/d) = (a * c) / (b * d)

(a/b) / (c/d) = (a * d) / (c * b)

−(a/b) = (−a/b)

(a/b) < (c/d) means (a * d) < (c * b)

(a/b) == (c/d) means (a * d) == (c * b)

Let any sign be carried by the numerator; keep the denominator positive.

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Chapter 10 Solutions

Problem Solving with C++ (10th Edition)

Ch. 10.2 - Below we have redefined the class DayOfYear from...Ch. 10.2 - Given the following class definition, write an...Ch. 10.2 - Prob. 13STECh. 10.2 - The private member function DayOfYear::checkDate...Ch. 10.2 - Suppose your program contains the following class...Ch. 10.2 - Suppose you change Self-Test Exercise 15 so that...Ch. 10.2 - Explain what public: and private: do in a class...Ch. 10.2 - a. How many public: sections are required in a...Ch. 10.2 - Give a definition for the function with the...Ch. 10.2 - Give a definition for the function with the...Ch. 10.2 - Give a definition for the function with the...Ch. 10.2 - Suppose your program contains the following class...Ch. 10.2 - How would you change the definition of the class...Ch. 10.2 - Prob. 24STECh. 10.3 - When you define an ADT as a C++ class, should you...Ch. 10.3 - When you define an ADT as a C++ class, what items...Ch. 10.3 - Suppose your friend defines an ADT as a C++ class...Ch. 10.3 - Redo the three- and two-parameter constructors in...Ch. 10.4 - How does inheritance support code reuse and make...Ch. 10.4 - Can a derived class directly access by name a...Ch. 10.4 - Suppose the class SportsCar is a derived class of...Ch. 10 - Solution to Practice Program 10.1 Redefine...Ch. 10 - Redo your definition of the class CDAccount from...Ch. 10 - Define a class for a type called CounterType. An...Ch. 10 - Write a grading program for a class with the...Ch. 10 - Redo Programming Project 1 (or do it for the first...Ch. 10 - Define a class called Month that is an abstract...Ch. 10 - Redefine the implementation of the class Month...Ch. 10 - My mother always took a little red counter to the...Ch. 10 - Write a rational number class. This problem will...Ch. 10 - Define a class called Odometer that will be used...Ch. 10 - Redo Programming Project 7 from Chapter 5 (or do...Ch. 10 - The U.S. Postal Service printed a bar code on...Ch. 10 - Consider a class Movie that contains information...

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