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Fix distance between EmptySets #3723

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Dec 30, 2024
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4 changes: 3 additions & 1 deletion src/Sets/EmptySet/distance.jl
Original file line number Diff line number Diff line change
Expand Up @@ -5,5 +5,7 @@ end
function _distance_emptyset(∅::EmptySet, X::LazySet; p::Real=2.0)
@assert dim(∅) == dim(X) "the dimensions of the given sets should match, " *
"but they are $(dim(∅)) and $(dim(X)), respectively"
throw(ArgumentError("the distance to an empty set is undefined"))

N = promote_type(eltype(∅), eltype(X))
return N(Inf)
end
3 changes: 2 additions & 1 deletion test/Sets/EmptySet.jl
Original file line number Diff line number Diff line change
Expand Up @@ -230,7 +230,8 @@ for N in [Float64, Rational{Int}, Float32]
@test E2 isa BallInf{N} && E2 == B

# distance
@test_throws ArgumentError distance(E, E)
res = distance(E, E)
@test res isa N && res == N(Inf)
E2 = EmptySet{N}(3)
@test_throws AssertionError distance(E, E2)
@test_throws AssertionError distance(E2, E)
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