improve real(::MPOHamiltonian) coverage

Author: lkdvos

test/operators.jl

@@ -124,7 +124,7 @@ module TestOperators
     @testset "Finite MPOHamiltonian" begin
         L = 3
         T = ComplexF64
-        for V in (ℂ^2, U1Space(-1 => 1, 0 => 1, 1 => 1))
+        for T in (Float64, ComplexF64), V in (ℂ^2, U1Space(-1 => 1, 0 => 1, 1 => 1))
             lattice = fill(V, L)
             O₁ = randn(T, V, V)
             O₁ += O₁'
@@ -136,6 +136,17 @@ module TestOperators
             H2 = FiniteMPOHamiltonian(lattice, (i, i + 1) => O₂ for i in 1:(L - 1))
             H3 = FiniteMPOHamiltonian(lattice, 1 => O₁, (2, 3) => O₂, (1, 3) => O₂)
 
+            @test scalartype(H1) == scalartype(H2) == scalartype(H3) == T
+            if !(T <: Complex)
+                for H in (H1, H2, H3)
+                    Hc = @constinferred complex(H)
+                    @test scalartype(Hc) == complex(T)
+                    Hr = @constinferred real(Hc)
+                    @test scalartype(Hr) == T
+                    @test H ≈ Hr atol = 1.0e-6
+                end
+            end
+
             # check if constructor works by converting back to tensormap
             H1_tm = convert(TensorMap, H1)
             operators = vcat(fill(E, L - 1), O₁)