What is the best way to test an implementation of a mutex is indeed correct? (It is necessary to implement a mutex, reuse is not a viable option)
The best I have come up with is to have many (N) concurrent threads iteratively attempting to access the protected region (I) times, which has a side effect (e.g. update to a global) so that the number of accesses + writes can be counted to ensure that the number of updates to the global is exactly (N)*(I).
Any other suggestions?
I'm with everyone else that this is incredibly difficult to prove conclusively, I have no idea how to do it - not helpful I know!
When you say implement a mutex and that reuse is not an option, is that for technical reasons like there is no Mutex implementation on the platform/OS that you are using or some other reason? Is wrapping some form of OS level 'lock' and calling it your Mutex implementation an option, eg CriticalSection on windoze, posix Condition Variables? If you can wrap a lower level OS lock then your chance of getting it right are much higher.
In case you have not already done so go and read Herb Sutter's Effective Concurrency articles. There should be some stuff in these worth something to you.
Anyway, some things to consider in your tests:
Good luck!
Formal proof is better than testing for this kind of thing.
Testing will show you that -- as long as you're not unlucky -- it all worked. But a test is a blunt instrument; it can fail to execute the exact right sequence to cause failure.
It's too hard to test every possible sequence of operations available in the hardware to be sure your mutex works under all circumstances.
Testing is not without value; it shows that you didn't make any obvious coding errors.
But you really need a more formal code inspection to demonstrate that it does the right things at the right times so that one client will atomically seize the lock resource required for proper mutex. In many platforms, there are special instructions to implement this, and if you're using one of those, you have a fighting chance of getting it right.
Similarly, you have to show that the release is atomic.
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