While working on a solution to this question I've come across a case where I simply don't understand Mathematica's behaviour.
I've got the following definitions:
PatternImplies[(x:(Verbatim[Blank]
|Verbatim[BlankSequence]
|Verbatim[BlankNullSequence]))[h_],x[]]:=True
(*CatchAll rule*)
PatternImplies[_,_]:=Maybe;
Now I try this:
PatternImplies[_Integer,_]
(*
==> Maybe
*)
I would have expected True
. My first thought was that I probably got the pattern wrong, so I tested:
MatchQ[PatternImplies[_Integer,_],
PatternImplies[(x:(Verbatim[Blank]
|Verbatim[BlankSequence]
|Verbatim[BlankNullSequence]))[h_],x[]]]
(*
==> True
*)
In other words, the pattern matches. Moreover, looking at Downvalues
I see that the special rule is indeed stored before the catch-all rule.
So why does Mathematica chose the second definition (and more importantly, what can I do about it?)
Answer
As far as I can tell, it should match the catch all rule. That's because _
isn't of the form x[]
Now, when you test the MatchQ
expression, both arguments are first evaluated. So, you're actually doing MatchQ[maybe, maybe]
which of course returns True
.
You can do the checking as you intended to by first holding the arguments
MatchQ[Hold@PatternImplies[_Integer, _],
Hold@PatternImplies[(x : (Verbatim[Blank] | Verbatim[BlankSequence] |
Verbatim[BlankNullSequence]))[h_], x[]]]
False
EDIT:
I now see what you intended with x[]
. You could do x_[]
instead. That would mean "any no-argument expression whose head coincides with the previous pattern labelled x
. If you write x[]
it matches literally
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