Defining neutral_element for xor (⊻) and fixing it for and (&).

[Hamiltonian-Action]

The ⊻ operation is associative, commutative, and has a well-defined neutral element. Surprisingly, this was missing from the pre-existing list.

[vchuravy]

Could you also add a test?

[Hamiltonian-Action]

Uncovered another issue with neutral_element(::typeof(Base.:(&)), T) = one(T), which should actually read ~zero(T). Modified accordingly. Test have been augmented and ran successfully on my machine.

Edit: I would disregard the style complaints below. Better to keep the file uniform as it originally were.

[github-actions]

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diff --git a/test/testsuite/reductions.jl b/test/testsuite/reductions.jl
index a1bdc83..cf705b8 100644
--- a/test/testsuite/reductions.jl
+++ b/test/testsuite/reductions.jl
@@ -67,9 +67,9 @@ end
             @test compare(A->reduce(+, A; dims=dims, init=zero(ET)), AT, rand(range, sz))
             @test compare(A->reduce(*, A; dims=dims, init=one(ET)), AT, rand(range, sz))
             if ET <: Integer
-                @test compare(A->reduce(&, A; dims=dims, init=~zero(ET)), AT, rand(range, sz))
-                @test compare(A->reduce(|, A; dims=dims, init=zero(ET)), AT, rand(range, sz))
-                @test compare(A->reduce(⊻, A; dims=dims, init=zero(ET)), AT, rand(range, sz))
+                @test compare(A -> reduce(&, A; dims = dims, init = ~zero(ET)), AT, rand(range, sz))
+                @test compare(A -> reduce(|, A; dims = dims, init = zero(ET)), AT, rand(range, sz))
+                @test compare(A -> reduce(⊻, A; dims = dims, init = zero(ET)), AT, rand(range, sz))
             end
         end
     end

[maleadt]

Yeah don't worry about the formatter, they're just a suggestion.