CSE 374 22sp Homework 7 CSE 374 22sp Homework 7 Due: Thursday, June 2, at 11 pm Assignment Goals The main goal of this assignment is to learn how to use a C++ class to create a new data abstraction (type). In the process we will explore some of the underlying similarities and differences in how classes and objects are used in C++ compared to other languages like Java. Synopsis In this assignment you will supply the implementation of a C++ type for Rational numbers. You should do this assignment alone. We will supply you with a small calculator program that evaluates arithmetic expressions using your code. You can use this to experiment with and test your implementation. But your only job is to provide an implementation of type Rational. Type Rational Rational is specified in file rational.h; there is a corresponding implementation file rational.cc in the starter code that is empty. Your job is to supply an implementation of Rational in file rational.cc. You should download the archive rational.zip (right-click the link), which contains the starter code. File rational.h in the starter code contains specifications of the operations of the type; to save space these are not repeated here. The archive also contains the source code for a small calculator program that uses Rationals and a simple Makefile to build it. Your implementation of Rationals should return values in lowest (i.e., factored) terms. In other words, the greatest common divisor of the numerator and denominator of a Rational should be 1, as far as can be detected by a program using type Rational. Furthermore, as far as an observer can tell, the denominator of a Rational should always be non-negative; the numerator may be positive or negative as appropriate. This does not constrain how Rationals are actually represented in the implementation, just how they can be observed to behave. You should implement type Rational as specified in rational.h. You may not modify the contents of this header file or add or delete anything from it. You are free, of course, to include additional helper functions and data in your rational.cc implementation file if these are useful. You do not need to check for or deal with rationals that have a denominator of 0 or similar issues. If a client of type Rational creates a Rational with a denominator of 0, or if a calculation produces such a result, simply create that result and return it. Similarly, you do not need to handle the possibility of integer overflow in calculations. However, the code in your implementation, including algorithms that compute common factors when reducing fractions to lowest terms, should not crash or loop indefinitely even if some numerators or denominators of fractions are negative or zero. The Calculator The calculator program (supplied) is a simple line-oriented calculator for expressions involving rational numbers. Rationals can be entered as either a positive integer n, meaning n/1, or as a pair of positive integers separated by a slash: n/d. Numbers can be combined in expressions in the usual way with the operators +, -, *, and % . Operator % is used for division instead of / because / is used to enter a single rational value. Spaces may separate parts of expressions, and subexpressions can be surrounded by parentheses. One limitation is that the calculator only implements binary operators; in particular it doesn't support unary minus. To compute -r, you can evaluate 0-r. All expressions must be entered on a single line, and the calculator evaluates the expression on each input line and prints the result. The end of input is indicated by typing the usual end-of-file character (ctrl-D in Linux shell windows). The calculator makes no effort to detect or report errors such as illegal input, additional characters on the input line following a complete expression, or rationals with a denominator of 0. If it is unable to make sense out of something, it usually generates the result 0/0 and goes on to process the next input line. Remember that your job in this assignment is only to implement type Rational. The calculator program is intended as a way of testing and demonstrating that your Rational type works properly, but you are not responsible for any of its quirks or for fixing any odd behavior that you may discover. Assessment Your solutions should be: Correct, meeting the above specifications Compile and run on either of our reference systems (cancun or the current CSE Linux virtual machine). Written in good style. This should be straightforward, but for guidance, refer to the Google C++ Style Guide as needed. Have no memory leaks or errors. You can use valgrind to help check for possible problems, but there shouldn't be any because the Rational class probably does not need any dynamic memory allocation in its implementation. Turn-in Instructions You should turn in only the file rational.cc containing your implementation of type Rational. Be sure to include your name at the top of the file. Use gradescope to submit the file. Gradescope will allow you to turn in your homework up to two days late, which you can use if you have any individual late days remaining (max 2 for this assignment, as for all other assignments this quarter).
