Lab 5 - Fractions

1. Open your homework in IntelliJ (or another IDE, so that it can be modified), make sure that unit testing works.
2. If you do not have the latest version of your work on Bitbucket (or GitHub), create a commit and push it. If necessary, refer to the materials from the first lab. The test file LfractionTest.java must also be included in version control.
3. The teacher will assign you a partner for this lab.
   
4. If this is not already the case, implement subtraction of fractions by adding the opposite (also change the method for finding the opposite, if necessary). Also implement division of fractions by multiplying by the inverse (change the method of finding the inverse, if necessary).
   
5. If this is not already the case, reduce the fraction in the constructor - every new fraction created is reduced and the sign of the fraction is in the numerator. If necessary, add a static method for finding the greatest common divisor, preferably by the Euclidean algorithm.
6. If this is not already the case, implement the equals method using the compareTo method (if necessary, change the compareTo method, only integers may be used).
7. Divide the roles: developer and tester. One partner ("developer") is responsible for the file Lfraction.java , and the other partner ("tester") is responsible for the file LfractionTest.java.
8. Development: Add a new method pow for raising a fraction to a given integer power (using multiplication):
          m.pow(0) is the fraction 1/1: new Lfraction(1, 1)
          m.pow(1) is equal to (but not identical to) m
          m.pow(-1) is m.inverse(), check for division by zero
          m.pow(n) is defined for n > 1 by the rule: m.times(m.pow(n-1))
          m.pow(-n) is m.pow(n).inverse(), check division by zero
   
9. Testing: Write about 6 - 8 test cases for pow that cover all the rules listed above and add them to the existing tests (use the JUnit4 framework, see the test file LfractionTest.java as an example).
10. Make a new commit  "Developer: name, Tester: name" and upload it to Bitbucket (or GitHub). The partner will do the same with their code. Do this after the testing part is finished.
11. Show the commit, the tests, and running examples to the teacher. You can also run tests from the command line if there is a problem with the IDE.
12. The teacher will discuss and ask questions about your work.