Specialize copy and fix conj

Author: jishnub

stdlib/LinearAlgebra/src/symmetric.jl

@@ -335,8 +335,8 @@ Hermitian{T,S}(A::Hermitian) where {T,S<:AbstractMatrix{T}} = Hermitian{T,S}(con
 AbstractMatrix{T}(A::Hermitian) where {T} = Hermitian(convert(AbstractMatrix{T}, A.data), sym_uplo(A.uplo))
 AbstractMatrix{T}(A::Hermitian{T}) where {T} = copy(A)
 
-copy(A::Symmetric{T,S}) where {T,S} = (B = copy(A.data); Symmetric{T,typeof(B)}(B,A.uplo))
-copy(A::Hermitian{T,S}) where {T,S} = (B = copy(A.data); Hermitian{T,typeof(B)}(B,A.uplo))
+copy(A::Symmetric) = (Symmetric(parentof_applytri(copy, B), sym_uplo(A.uplo)))
+copy(A::Hermitian) = (Hermitian(parentof_applytri(copy, B), sym_uplo(A.uplo)))
 
 function copyto!(dest::Symmetric, src::Symmetric)
     if src.uplo == dest.uplo
@@ -422,7 +422,8 @@ Base.copy(A::Transpose{<:Any,<:Hermitian}) =
 tr(A::Symmetric) = tr(A.data) # to avoid AbstractMatrix fallback (incl. allocations)
 tr(A::Hermitian) = real(tr(A.data))
 
-Base.conj(A::HermOrSym) = typeof(A)(parentof_applytri(conj, A), A.uplo)
+Base.conj(A::Symmetric) = Symmetric(parentof_applytri(conj, A), sym_uplo(A.uplo))
+Base.conj(A::Hermitian) = Hermitian(parentof_applytri(conj, A), sym_uplo(A.uplo))
 Base.conj!(A::HermOrSym) = typeof(A)(parentof_applytri(conj!, A), A.uplo)
 
 # tril/triu

stdlib/LinearAlgebra/test/symmetric.jl

@@ -968,4 +968,11 @@ end
     end
 end
 
+@testset "conj for immutable" begin
+    S = Symmetric(reshape((1:16)*im, 4, 4))
+    @test conj(S) == conj(Array(S))
+    H = Hermitian(reshape((1:16)*im, 4, 4))
+    @test conj(H) == conj(Array(H))
+end
+
 end # module TestSymmetric