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8 changes: 6 additions & 2 deletions src/dense.jl
Original file line number Diff line number Diff line change
Expand Up @@ -914,8 +914,12 @@ julia> log(A)
"""
function log(A::AbstractMatrix)
# If possible, use diagonalization
if isdiag(A)
return applydiagonal(log, A)
if isdiag(A) && eltype(A) <: Union{Real,Complex}
if eltype(A) <: Real && all(>=(0), diagview(A))
return applydiagonal(log, A)
else
return applydiagonal(log∘complex, A)
end
elseif ishermitian(A)
logHermA = log(Hermitian(A))
PH = parent(logHermA)
Expand Down
11 changes: 11 additions & 0 deletions test/dense.jl
Original file line number Diff line number Diff line change
Expand Up @@ -1418,4 +1418,15 @@ end
@test tril(GenericArray(M),-1) == res'
end

@testset "log for diagonal" begin
D = diagm([-2.0, 2.0])
@test log(D) ≈ log(UpperTriangular(D))
D = diagm([-2.0, 0.0])
@test log(D) ≈ log(UpperTriangular(D))
D = diagm([2.0, 2.0])
@test log(D) ≈ log(UpperTriangular(D))
D = diagm([2.0, 2.0*im])
@test log(D) ≈ log(UpperTriangular(D))
end

end # module TestDense