This is not a DataFrames.jl issue, but how Julia Base works.
I concentrate only on RHS, as LHS is irrelevant (and RHS is unrelated to DataFrames.jl).
First, how to write what you want. Initialization:
julia> using DataFrames
julia> df = DataFrame()
0×0 DataFrame
julia> df[:, :x] = rand(5)
5-element Vector{Float64}:
0.6146045473316457
0.6319531776216596
0.599267794937812
0.40864382019544965
0.3738682778395166
julia> df[:, :y] = rand(5)
5-element Vector{Float64}:
0.07891853567296825
0.2143545316544586
0.5943274462916335
0.2182702556068421
0.5810132720450707
julia> add_minus_two(x,y) = (x-y,x+y)
add_minus_two (generic function with 1 method)
And now you get:
julia> add_minus_two(df[:,:x], df[:,:y])
([0.5356860116586775, 0.417598645967201, 0.004940348646178538, 0.19037356458860755, -0.2071449942055541], [0.693523083004614, 0.8463077092761182, 1.1935952412294455, 0.6269140758022917, 0.9548815498845873])
julia> add_minus_two.(df[:,:x], df[:,:y])
5-element Vector{Tuple{Float64, Float64}}:
(0.5356860116586775, 0.693523083004614)
(0.417598645967201, 0.8463077092761182)
(0.004940348646178538, 1.1935952412294455)
(0.19037356458860755, 0.6269140758022917)
(-0.2071449942055541, 0.9548815498845873)
julia> add_minus_two(df[:,:x], df[:,:y])[2]
5-element Vector{Float64}:
0.693523083004614
0.8463077092761182
1.1935952412294455
0.6269140758022917
0.9548815498845873
julia> add_minus_two.(df[:,:x], df[:,:y])[2]
(0.417598645967201, 0.8463077092761182)
julia> getindex.(add_minus_two.(df[:,:x], df[:,:y]), 2) # this is probably what you want
5-element Vector{Float64}:
0.693523083004614
0.8463077092761182
1.1935952412294455
0.6269140758022917
0.9548815498845873
Now the point is that when you write:
df[:,"x+y"] = whatever_you_pass
The whatever_you_pass part must be an AbstractVector with an appropriate number of columns. This means that what will work is:
add_minus_two.(df[:,:x], df[:,:y])
add_minus_two(df[:,:x], df[:,:y])[2]
getindex.(add_minus_two.(df[:,:x], df[:,:y]), 2)
and what will fail is (as in these cases a Tuple not AbstractVector is produced)
add_minus_two(df[:,:x], df[:,:y])
add_minus_two.(df[:,:x], df[:,:y])[2]
Out of the working syntaxes just pick the one you want.
The general recommendation is that when you do assignment always inspect the RHS stand alone and analyze if it has a proper structure.
Also, notably, this will work:
julia> transform(df, [:x, :y] => ByRow(add_minus_two) => ["x-y", "x+y"])
5×4 DataFrame
Row │ x y x-y x+y
│ Float64 Float64 Float64 Float64
─────┼────────────────────────────────────────────
1 │ 0.614605 0.0789185 0.535686 0.693523
2 │ 0.631953 0.214355 0.417599 0.846308
3 │ 0.599268 0.594327 0.00494035 1.1936
4 │ 0.408644 0.21827 0.190374 0.626914
5 │ 0.373868 0.581013 -0.207145 0.954882
(you have not asked about it but maybe this is what you actually are looking for - and as opposed to setindex! this syntax is DataFrames.jl specific)