[java] How to write a Unit Test?

This is a very generic question and there is a lot of ways it can be answered.

If you want to use JUnit to create the tests, you need to create your testcase class, then create individual test methods that test specific functionality of your class/module under tests (single testcase classes are usually associated with a single "production" class that is being tested) and inside these methods execute various operations and compare the results with what would be correct. It is especially important to try and cover as many corner cases as possible.

In your specific example, you could for example test the following:

1. A simple addition between two positive numbers. Add them, then verify the result is what you would expect.
2. An addition between a positive and a negative number (which returns a result with the sign of the first argument).
3. An addition between a positive and a negative number (which returns a result with the sign of the second argument).
4. An addition between two negative numbers.
5. An addition that results in an overflow.

To verify the results, you can use various assertXXX methods from the org.junit.Assert class (for convenience, you can do 'import static org.junit.Assert.*'). These methods test a particular condition and fail the test if it does not validate (with a specific message, optionally).

Example testcase class in your case (without the methods contents defined):

import static org.junit.Assert.*;

public class AdditionTests {
    @Test
    public void testSimpleAddition() { ... }


    @Test
    public void testPositiveNegativeAddition() { ... }


    @Test
    public void testNegativePositiveAddition() { ... }


    @Test
    public void testNegativeAddition() { ... }


    @Test
    public void testOverflow() { ... }
}

If you are not used to writing unit tests but instead test your code by writing ad-hoc tests that you then validate "visually" (for example, you write a simple main method that accepts arguments entered using the keyboard and then prints out the results - and then you keep entering values and validating yourself if the results are correct), then you can start by writing such tests in the format above and validating the results with the correct assertXXX method instead of doing it manually. This way, you can re-run the test much easier then if you had to do manual tests.