example_composition_error.jl

using LinearMaps
using Test
function f1(source)
    dest = zeros(9)
    tmp = reshape(source, 5, 2)
    return dest
end
function f2(source)
    dest = zeros(6)
    tmp = reshape(source, 3, 3)
    return dest
end
function f3(source)
    dest = zeros(4)
    tmp = reshape(source, 3, 2)
    return dest
end
function f4(source)
    dest = zeros(18)
    tmp = reshape(source, 1, 4)
    return dest
end
L1 = LinearMap(f1, 9, 10)
L2 = LinearMap(f2, 6, 9)
L3 = LinearMap(f3, 4, 6)
L4 = LinearMap(f4, 18, 4)
A = L4*L3*L2*L1
@test A*ones(10) == L4*(L3*(L2*(L1*ones(10))))