> But do you agree that the usage of x::T as a formal parameter is quite different when T is a type parameter compared to when it is a plain type?
I'm not 100% sure I grok what you're getting at, but *if *what you're asking is whether I see a difference between foo(x::Real) and foo{T<:Real}(x::Array{T}), then really no - I don't. I just the latter as shorthand for defining a function with a whole bunch of methods - foo(x::Array{Int64}), foo(x::Array{Float64}), etc etc - with the same Julia implementation. They will still, just as the former for foo(x::Int64) and foo(x::Float64), be compiled to different versions, strongly typed to the runtime type of the argument, and I could get exactly the same behavior without parametric methods by copy-pasting the implementation and using different specific type signatures. I'd need one for every subtype of Real, so of course this isn't feasible in practice, but the way I look at it the difference is really mainly syntactic sugar. The possibility to do diagonal dispatch with the help of type parameters is also syntactic sugar - I could just as easily define bar(x::Int64, y::Int64) etc for all real types, but with no methods for bar that take arguments of different kinds, as define bar{T<:Real}(x::T, y::T). Again, this would mean an insane amount of code duplication, so I'm really glad I don't *have* to code this way, but I certainly could if I for some wicked reason wanted to. There is of course one thing that differs profoundly: if you define foo{T<:Real}(x::Array{T}) and then someone else comes, later on, and defines a new subtype to Real, your definition just works. Had you done it without type parameters, it of course wouldn't have worked without also adding a specific implementation for foo(x::Array{MyNewRealType}). // Tomas On Thursday, May 15, 2014 10:03:12 PM UTC+2, Kevin Squire wrote: > > FWIW, I really appreciate you pointing out the different uses of :: Toivo. > Along with the different meanings of parameterizations in types and > functions, this is another area I haven't been clear about (and I wasn't > even aware of it until you pointed it out). > > Cheers! > Kevin > > > On Thu, May 15, 2014 at 11:49 AM, Toivo Henningsson > <toiv...@gmail.com<javascript:> > > wrote: > >> >> >> On Thursday, 15 May 2014 10:59:07 UTC+2, Tomas Lycken wrote: >>> >>> it silently uses :: in a different sense than anywhere else in the >>>> language >>> >>> >>> I started writing a reply here, but realized it would be more >>> instructive to have it as an IJulia notebook, where we can actually inspect >>> the values of various statements along the way - take a look here instead: >>> http://nbviewer.ipython.org/github/tlycken/IJulia-Notebooks/blob/master/ >>> A%20more%20thorough%20look%20at%20Julia's%20%22double% >>> 20colon%22%20syntax.ipynb >>> >>> I hope it makes things a little clearer. I tried to base it on the >>> relevant section on `::` in the manual (http://docs.julialang.org/en/ >>> latest/manual/types/#type-declarations) and expand it with more >>> examples etc, so I hope it's possible to see the connections. >>> >> >> / Toivo >> > >