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Richard SmithandJon Ross-Perkins
0191e2e41e
When checking for control flow falling off a function after a `match`, determine whether it's possible for no case to have matched. Using the same implementation, also detect whether `case`s in a `match` are unreachable.
For now, the implementation never considers a match against specific values for any type other than tuples, alternatives, and `bool` to be exhaustive. In particular, matching against the sole value `{}` of type `{}` is not considered exhaustive. This is probably best left until explorer supports matching on struct and maybe class types more generally.
This implementation closely follows the algorithm described in the paper [Warnings for pattern matching](http://moscova.inria.fr/~maranget/papers/warn/warn.pdf) by Luc Maranget. Various optimizations are possible, such as reducing the amount of copying done, but for the purposes of explorer, comprehensibility is being favored over efficiency.
The problem is, perhaps surprisingly, co-NP-hard (by reduction to the tautology problem for disjunctive normal form, which is in turn dual to the satisfaction problem for conjunctive normal form, which is well-known to be NP-hard). The algorithm is therefore exponential-time in the worst case, but seems to be well-studied and performs well enough on non-pathological examples. Nonetheless, a depth limit has been imposed to prevent pathological examples such as those generated by a fuzzer from causing long runtimes.
Co-authored-by: Jon Ross-Perkins <jperkins@google.com>