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CS246 Assignment

创建日期：2024-04-22 15:50:39

所属分类：计算机computer science

标签： CS246

Assignment

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ASSIGNMENT #3: C++ CLASSES CS246

Assignment #3: C++ Classes
Topics that must have been completed before starting Due Date 1:
1. Software Testing, produceOutputs and runSuite from A1
2. Object-Oriented Programming: Introduction
3. Object-Oriented Programming: Special class members
4. Object-Oriented Programming: Advanced object uses
Topics that must have been completed before starting Due Date 2:
1. Encapsulation and Introduction to Design Patterns: Invariants and Encapsulation
2. Encapsulation and Introduction to Design Patterns: Design Patterns and Iterators
Learning objectives:
• Object-Oriented programming, Invariants and Encapsulation
• C++ classes, constructors, destructors, and operations
• Dynamic memory allocation for C++ objects and arrays
• Iterator design pattern
• Questions 1a, 2a, and 3a are due on Due Date 1; questions 1b, 2b, 3b, are due on Due Date 2. You must submit
the online quiz on Learn by the Quiz date.
• On this and subsequent assignments, you will take responsibility for your own testing. This assignment is designed to
get you into the habit of thinking about testing before you start writing your program. For each question you will be
given a compiled executable program that is a program representing a solution to each question. You should use these
provided executables to help you write your test cases, as they can show you the resultant output for given inputs. If
you look at the deliverables and their due dates, you will notice that there is no C++ code due on Due Date 1. Instead,
you will be asked to submit test suites for C++ programs that you will later submit by Due Date 2.
Test suites will be in a format compatible with that of the latter questions of Assignment 1, so if you did a good job
writing your runSuite script, that experience will serve you well here.
• Design your test suites with care; they are your primary tool for verifying the correctness of your code. Note that test
suite submission zip files are restricted to contain a maximum of 40 tests. The size of each input (.in) file is also
restricted to 300 bytes. This is to encourage you not to combine all of your testing eggs in one basket. There is also a
limit for each output file (.out), but none of your tests should be able to create such a large output file that you would
normally encounter it.
• You must use the standard C++ I/O streaming and memory management (MM) facilities on this assignment; you may
not use C-style I/O or MM. More concretely, you may #include the following C++ libraries (and no others!) for the
current assignment: iostream, fstream, sstream, iomanip, and string. Marmoset will be setup to reject
submissions that use C-style I/O or MM, or libraries other than the ones specified above.
Page 1 of 7
ASSIGNMENT #3: C++ CLASSES CS246, FALL 2021
• We will manually check that you follow a reasonable standard of documentation and style, and to verify any assignment
requirements that are not automatically enforced by Marmoset. Code to a standard that you would expect from someone
else if you had to maintain their code. Further comments on coding guidelines can be found here: https://www.
student.cs.uwaterloo.ca/˜cs246/F21/codingguidelines.shtml
• We have provided some code and sample executables under the appropriate a3 subdirectories. These executables have
been compiled in the CS student environment and will not run anywhere else.
• You may not ask public questions on Piazza about what the programs that make up the assignment are supposed
to do. A major part of this assignment involves designing test cases, and questions that ask what the programs should
do in one case or another will give away potential test cases to the rest of the class. Questions found in violation of this
rule will be marked private or deleted; repeat offences could be subject to discipline.
Note: We suggest creating the directory ~/cs246/f21/a3 and creating all of your assignment solutions in this directory.
Page 2 of 7
ASSIGNMENT #3: C++ CLASSES CS246, FALL 2021
Question 1
(20% of DD1; 20% of DD2) In this exercise, you will write a C++ class (implemented as a struct) that adds support for
rational numbers to C++. In mathematics, a rational number is any number that can be expressed as a fraction n/d of two
integers, a numerator n and a non-zero denominator d. Since d could be equal to 1, every integer is also a rational number.
In our Rational class, rational numbers are always stored in their most simplified form e.g. 4/8 is stored as 1/2, 18/8 as
9/4. Additionally, negative rational numbers are stored with a negative numerator and a positive denominator e.g. negative a
quarter is stored as -1/4 and not 1/-4.
A header file (rational.h) containing all the methods and functions to implement has been provided in the
a3/rationals directory. You should implement the required methods and functions in a file named rational.cc.
Implement a two-parameter constructor with the following signature:
Rational(int num = 0, int den = 1);
To support arithmetic for rational numbers, overload the binary operators +, −, ∗ and / to operate on two rational numbers.
In case you have forgotten how these operations work, here is a refresher:
a
b +
c
d =
ad+bc
bd
a
b − cd = ad−bcbd ab ∗ cd = acbd ab / cd = adbc
Also, implement the following:
• A convenience unary (-) operator which negates the rational number.
• Convenience +=, -= operators where a += b has the effect of setting a to a + b (similarly for -=)
• The helper method simplify() which can be used to update a rational number to its simplest form.
• Accessor methods getNumerator() and getDenominator() that return the numerator and denominator of the
rational number, respectively.
• Implement the overloaded input operator for rational numbers as the function:
std::istream &operator>>(std::istream &, Rational &);
The format for reading rational numbers is: an int-value-for-numerator followed by the / character followed by an
int-value-for-denominator. Arbitrary amounts of whitespace are permitted before or in between any of these terms. A
denominator must be provided for all values even if the denominator is 1 (this includes the rational number 0) e.g. the
rational number 5 must be input as 5/1.
• Implement the overloaded output operator for rational numbers as the function:
std::ostream &operator<<(std::ostream &, const Rational &);
The output format is the numerator followed by the / character and then the denominator without any whitespace.
Rational numbers that have a denominator of 1 are printed as integers e.g. 17/1 is printed as 17.
A test harness is available in the file a3q1.cc, which you will find in your a3/rationals directory. Make sure you
read and understand this test harness, as you will need to know what it does in order to structure your test suite. Note
that we may use a different test harness to evaluate the code you submit on Due Date 2 (if your functions work properly, it
should not matter what test harness we use). You should not modify a3q1.cc
1. Due on Due Date 1: Design a test suite for this program. Call your suite file suiteq1.txt. Zip your suite file,
together with the associated .in, .out into the file a3q1.zip.
2. Due on Due Date 2: Submit the file rational.cc containing the implementation of methods and functions declared
in rational.h.
Page 3 of 7
ASSIGNMENT #3: C++ CLASSES CS246, FALL 2021
Question 2
(40% of DD1; 40% of DD2) In this problem, you will implement a Polynomial class to represent and perform operations
on single-variable polynomials. We will use the Rational class from Q1 to represent the coefficients of the terms in a
Polynomial. A polynomial can be represented using an array with the value at index idx used to store the coefficient
of the term with exponent idx in the polynomial. For example, (9/4)x3 + (−7/3)x + 3/2 is represented by the array of
Rationals {3/2,-7/3,0/1,9/4}.
The degree of a polynomial is the exponent of the highest non-zero term (3 in the example just discussed). Therefore, an
array of size n+1 is required to store a polynomial of degree n. In order to not restrict the Polynomial class to a maximum
degree, the array used to encode the polynomial is heap-allocated.
You may assume that the coefficients of polynomials (given as input or produced through operations) can always be
represented using a Rational. Additionally, there is no need to worry about over- and under-flow.
In the file polynomial.h, we have provided the type definition of Polynomial and signatures for the overloaded
input and output operators for the Polynomial class. Implement all methods and functions. Place your implementation
in polynomial.cc. You are free to use your own implementation from Question 1 of the methods and functions in
rational.h or use the implementation we have provided in the compiled binary file rational.o. Note that your
implementation of polynomial.cc will be linked to our implementation of Rational during testing.
The default constructor for Polynomial should create the zero polynomial, i.e. a polynomial whose coefficients are
all zero.
The overloaded arithmetic operators work identically to single-variable polynomial arithmetic. For the division operation,
two methods are to be implemented; operator/ should return the quotient after long division and operator% should
return the remainder.
The input operator reads the input stream till the end of the line and uses the read input to modify an existing Polynomial
object. The input format is a pair for each non-zero term in the polynomial in decreasing exponent values with no exponent
repeated. The first value in each pair is a rational number and follows the input format for Rational numbers as spec-
ified in Q1. This is the coefficient. The second value is a non-negative integer and represents the exponent of this term.
Arbitrary amount of whitespace (excluding newline) is allowed within each pair and between pairs. For example, the input
3/5 5 -2/5 2 1/2 1 3/7 0 represents the polynomial (3/5)xˆ5 + (-2/5)xˆ2 + (1/2)x + (3/7).
The output operator prints polynomials as the addition of terms in decreasing exponent order. Each term is output as
(a/b)xˆn and subject to the following additional requirements and exceptions:
• Terms with zero coefficients are not printed.

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