java.lang.Integer
java.lang.String
java.math.BigInteger
a. Fork and clone the repository.
b. Import your clone into Eclipse.
c. Read through the code to make sure that you understand what it does. You don’t need to know all the details, but a big-picture view is helpful.
d. Bring up the documentation for the three standard classes we’ll be using (links above).
a. Extend the Fraction class so that it permits multiplication
of two fractions. That is, you should add an appropriate multiply
method to the class.
b. Write an experiment that allows you to explore the behavior of
the new method. (The experiment is simply code in FractionExpt.java
that shows what happens when you multiply two numbers.)
As you may know, we can represent every non-negative rational number as a whole number plus a fractional value no smaller than 0 and strictly less than 1.
a. Write a method of the Fraction class, fractional, that
identifies and returns this fractional value as a Fraction. Your
procedure need only work for positive numbers.
Here are some examples that illustrate what it’s supposed to do.
Fraction f;
f = new Fraction(11,3);
pen.println(f.fractional()); // 2/3
f = new Fraction(1,2);
pen.println(f.fractional()); // 1/2
f = new Fraction (5,2);
pen.println(f.fractional()); // 1/2
f = new Fraction(4,2);
pen.println(f.fractional()); // 0/2 or 0
b. Check/test your procedure and correct any errors.
Write and check/test a third constructor for the Fraction class. This
constructor should accept a string as a parameter, parse that string,
and generate the appropriate fraction. For example,
Fraction f;
f = new Fraction("1/4");
pen.println(f.numerator()); // 1
pen.println(f.denominator()); // 4
f = new Fraction("11/5");
pen.println(f.numerator()); // 11
pen.println(f.denominator()); // 5
f = new Fraction("120/3");
pen.println(f.toReal()); // Approximately 40
You can expect that the string will have two positive integers
separated by a slash. You may find it useful to reflect on the
indexOf method of the java.lang.String class and on various
static methods of the java.lang.Integer class.
Write and experiment with a class, Counter, that generates objects
that can count. Objects in class Counter should provide two
methods: increment, which adds 1 to the counter, and get, which
gets the current value of the counter. Your class needs one zeroary
constructor which initializes the counter to 0.
Make sure to verify that if you create two separate
Counter objects, you can change the two objects separately.
a. If you’ve included a toString method in Counter, comment it
out.
b. What do you expect to happen if we print out a Counter using
instructions like the following?
PrintWriter pen = new PrintWriter(System.out, true);
Counter c1 = new Counter();
Counter c2 = new Counter();
c1.increment();
c1.increment();
c2.increment();
pen.println("c1: " + c1);
pen.println("c2: " + c2);
c. Check your answer experimentally.
d. As you should have discovered, when a class lacks a toString
method, Java chooses a fairly naive representation for printing
objects in that class. Add an appropriate toString method (e.g.,
one that returns the counter surrounded by angle brackets). Then
verify that the lines above work as you expect.
a. Update your Counter class to include a second constructor that
allows the user to specify a starting value.
b. Update your Counter class to include a reset method that
reset the counter to the starting value.
c. Test (or experiment with) both updates to ensure that they work appropriately.
Update the fraction class so that we simplify each fraction when we create it. In case you’ve forgotten, the simplified version of a fraction has a numerator and denominator with a greatest common divisor of 1; you can create the simplified version by finding the gcd and dividing both numerator and denominator by that gcd.
Identify other methods that would be useful to include in the
Counter class and add them.
Identify other methods that would be useful to include in the
Fraction class and add them.