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How easy is code verification?

I learn Java by reading "Head First Java" and doing all the puzzles and exercises. In the book, they recommend writing TestDrive classes to test the code and clans that I wrote, which is one very simple thing, but by doing this I think I can not fully test my code because I write test code knowing what I want get, I don’t know if it makes sense, but I was wondering if there is a way to check my code in a simple way so that it tells me that it does not work correctly. Thank.

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What do we mean by code? When testing the module that I'm thinking of here, we test specific methods and classes.

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  deposit 100, rate 5.0, years 1 : expected answer 105
  deposit 100, rate 0, years 1 : expected answer 100
  deposit 100, rate 10, years 0 : expected anwer 100

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