Outline two tests that you carried out on your program and how you debugged any errors you discovered during your tests.

Unit Testing: The first test I carried out was a unit test. This is a type of software testing where individual components of a software are tested. The purpose is to validate that each unit of the software performs as designed. I used a unit testing framework specific to my programming language.

Debugging: During this test, I discovered that one of the functions was not returning the expected output. To debug this, I isolated this function and input some test data. I found that there was an off-by-one error in a loop within the function. I corrected the loop's range, and the function then produced the correct output.

Integration Testing: After unit testing, I performed integration testing. This is a level of software testing where individual units are combined and tested as a group. The purpose of this level of testing is to expose faults in the interaction between integrated units.

Debugging: During integration testing, I found that the program was not able to correctly process data when it was passed from one function to another. I used a debugger tool to step through the program's execution and found that a data type mismatch caused the error. I was passing an integer where the function expected a float. After correcting the data type, the program worked as expected.