Output type from input function handle output type?

General Usage
13

I see. Here’s the recursive function:

function valuedispatch(::Val{lower}, ::Val{upper}, fun, val) where {lower, upper}
    if lower >= upper
        return fun(Val(upper))
    end
    midpoint::Int = lower + div(upper - lower, 2)
    if val <= midpoint
        return valuedispatch(Val(lower), Val(midpoint), fun, val)
    else
        return valuedispatch(Val(midpoint+1), Val(upper), fun, val)
    end
end

But actually, I no longer think this approach will be any better than generating a single (non-recursive) function, using the approach here.