Aside +, *, etc. is there a way to define my own binary operator, say Foo such that I can write something like:
Foo(x,y) = [some funny op using x and y]
((x Foo b) Foo c) ....
You’re looking for custom infix operators - see also ★ is not an operator.
In short - no.
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Saw it.
Not even with a macro, e.g.
@opdef Foo(x,y) = [some funny op using x and y]
@op ((x Foo b) Foo c) ....
?
I think with macros you could build something similar. Just remember that a macro needs to take valid Julia syntax as input and (a foo b) is not valid syntax but e.g. [a foo b] would be. So in principle you could cobbled together something. However, in practice I would advise against using macros to bend a part of Julia’s core syntax to your will like this. It will quickly make your code incomprehensible to anybody else and probably contain all sorts of edge cases.
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However, you have infinitely many choices available if you want to define a new infix operator: On adjoints and custom postfix and infix operators - #35 by stevengj
(And there is even a hack to make completely arbitrary identifiers like Foo act infix-like, though I wouldn’t recommend using it in production code: see Cursed Custom Infix Operators and InfixFunctions.jl.)
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Oh my, I was not aware of these at all! Cursed indeed..