Creating custom types in Julia - julia

In Julia, how do I create custom types MyOrderedDictA and MyOrderedDictB such that:
Each has all the functionality of an OrderdDict, and can be passed to any function that accepts AbstractDicts
They are distinct from each other, so that I can take advantage of multiple dispatch.
I suspect\hope this is straightforward, but haven’t been able to figure it out.

Basically, what you have to do is to define your type MyOrderedDictA, wrapping a regular OrderedDict, and forward all functions that one can apply to an OrderedDict to this wrapped dict.
Unfortunately, the AbstractDict interface is (to my knowledge) currently not documented (cf. AbstractArray). You could look at their definition and check which functions are defined for them. Alternatively, there is the more practical approach to just use your MyOrderedDictA and whenever you get an error message, because a function is not defined, you forward this function "on-the-fly".
In any case, using the macro #forward from Lazy.jl you can do something along the lines of the following.
using Lazy
struct MyOrderedDictA{T,S} <: AbstractDict{T,S}
dict::OrderedDict{T,S}
end
MyOrderedDictA{T,S}(args...; kwargs...) where {T,S} = new{T,S}(OrderedDict{T,S}(args...; kwargs...))
function MyOrderedDictA(args...; kwargs...)
d = OrderedDict(args...; kwargs...)
MyOrderedDictA{keytype(d),valtype(d)}(d)
end
#forward MyOrderedDictA.dict (Base.length, Base.iterate, Base.getindex, Base.setindex!)
d = MyOrderedDictA(2=>1, 1=>2)

Others will be better placed to answer this, but a quick take:
For this you will need to look at the OrderedDict implementation, and specifically which methods are defined for OrderedDicts. If you want to be able to pass it to methods accepting AbstractDicts you need to subtype it like struct MyDictA{T, S} <: AbstractDict{T, S}
If you define two structs they will automatically be discting from each other!? (I might be misunderstanding the question here)

Related

Multiple dispatch in julia with the same variable type

Usually the multiple dispatch in julia is straightforward if one of the parameters in a function changes data type, for example Float64 vs Complex{Float64}. How can I implement multiple dispatch if the parameter is an integer, and I want two functions, one for even and other for odd values?
You may be able to solve this with a #generated function: https://docs.julialang.org/en/v1/manual/metaprogramming/#Generated-functions-1
But the simplest solution is to use an ordinary branch in your code:
function foo(x::MyType{N}) where {N}
if isodd(N)
return _oddfoo(x)
else
return _evenfoo(x)
end
end
This may seem as a defeat for the type system, but if N is known at compile-time, the compiler will actually select only the correct branch, and you will get static dispatch to the correct function, without loss of performance.
This is idiomatic, and as far as I know the recommended solution in most cases.
I expect that with type dispatch you ultimately still are calling after a check on odd versus even, so the most economical of code, without a run-time penatly, is going to be having the caller check the argument and call the proper function.
If you nevertheless have to be type based, for some reason unrelated to run-time efficiency, here is an example of such:
abstract type HasParity end
struct Odd <: HasParity
i::Int64
Odd(i::Integer) = new(isodd(i) ? i : error("not odd"))
end
struct Even <: HasParity
i::Int64
Even(i::Integer) = new(iseven(i) ? i : error("not even"))
end
parity(i) = return iseven(i) ? Even(i) : Odd(i)
foo(i::Odd) = println("$i is odd.")
foo(i::Even) = println("$i is even.")
for n in 1:4
k::HasParity = parity(n)
foo(k)
end
So here's other option which I think is cleaner and more multiple dispatch oriented (given by a coworker). Let's think N is the natural number to be checked and I want two functions that do different stuff depending if N is even or odd. Thus
boolN = rem(N,2) == 0
(...)
function f1(::Val{true}, ...)
(...)
end
function f1(::Val{false}, ...)
(...)
end
and to call the function just do
f1(Val(boolN))
As #logankilpatrick pointed out the dispatch system is type based. What you are dispatching on, though, is well established pattern known as a trait.
Essentially your code looks like
myfunc(num) = iseven(num) ? _even_func(num) : _odd_func(num)

Use case for `function foo end` function declaration?

A declaration like this one is legal:
julia> function foo end
foo (generic function with 0 methods)
However, besides a placeholder to centralize documentation (and I am not even sure):
module Foo
"""
foo(...) functions
- foo(n::Int) : do something
- foo(n::Int,m::Int) : do other thing
"""
function foo end
I can not see the role/goal of such declaration.
Question: is there an illustrative use case?
The reason is explained in the Julia Manual in Empty generic functions section. There are two main uses:
simplifying documentation or improvement of code readability;
separation of interface definition from implementations.
A typical use case can be seen for definitions of randn! and randexp!. First empty generic functions are defined and are coupled with documentation string. Next methods for those functions are dynamically defined.
Another similar example to study is definition randstring.
Finally look at strides function. It is defined in abstractarray.jl as empty generic function and then used in the same file. But no methods are defined for this function in this file, other files e.g. dense.jl or subarray.jl define such methods.

Can I add a method to a function to receive as an argument another particular function?

I've created my immutable Tensor_field and a function nabla that acts on the tensor (that is nabla(a::Tensor_field) = do something.
I've added a method to function dot for the tensor: Base.dot(a::Tensor_field, b::Tensor_field) = do something....
Now I want to define a new behavior to function dot with nabla as an argument.
Something like Base.dot(nabla::function, a::Tensor_field) = do something different.
I know in Julia we are able to pass functions as arguments to other functions, but I couldn't find in the docs how to define a method for a "functional" argument.
If I type typeof(nabla) the output is My_Module_Name.#nabla, not a real DataType...
If you want it to work for any function, you can do
Base.dot(f::Function, a::Tensor_field) = do something different
If you only want it to work for the nabla function already defined, you can take advantage of what you have discovered, namely that each function has a unique type:
Base.dot(f::typeof(nabla), a::Tensor_field) = do something different
This will match only the function called nabla, which will now be called f inside the function dot.
Note that you can write ∇ as \nabla<TAB> and use it in your code instead of the word nabla. If your tensor field is called e.g. 𝐯 (written as \mbfv<TAB>), you can then write ∇⋅𝐯 in your Julia code! (The centered dot is written as \cdot<TAB>, and is an alias for the dot function.)

What does the "Base" keyword mean in Julia?

I saw this example in the Julia language documentation. It uses something called Base. What is this Base?
immutable Squares
count::Int
end
Base.start(::Squares) = 1
Base.next(S::Squares, state) = (state*state, state+1)
Base.done(S::Squares, s) = s > S.count;
Base.eltype(::Type{Squares}) = Int # Note that this is defined for the type
Base.length(S::Squares) = S.count;
Base is a module which defines many of the functions, types and macros used in the Julia language. You can view the files for everything it contains here or call whos(Base) to print a list.
In fact, these functions and types (which include things like sum and Int) are so fundamental to the language that they are included in Julia's top-level scope by default.
This means that we can just use sum instead of Base.sum every time we want to use that particular function. Both names refer to the same thing:
Julia> sum === Base.sum
true
Julia> #which sum # show where the name is defined
Base
So why, you might ask, is it necessary is write things like Base.start instead of simply start?
The point is that start is just a name. We are free to rebind names in the top-level scope to anything we like. For instance start = 0 will rebind the name 'start' to the integer 0 (so that it no longer refers to Base.start).
Concentrating now on the specific example in docs, if we simply wrote start(::Squares) = 1, then we find that we have created a new function with 1 method:
Julia> start
start (generic function with 1 method)
But Julia's iterator interface (invoked using the for loop) requires us to add the new method to Base.start! We haven't done this and so we get an error if we try to iterate:
julia> for i in Squares(7)
println(i)
end
ERROR: MethodError: no method matching start(::Squares)
By updating the Base.start function instead by writing Base.start(::Squares) = 1, the iterator interface can use the method for the Squares type and iteration will work as we expect (as long as Base.done and Base.next are also extended for this type).
I'll grant that for something so fundamental, the explanation is buried a bit far down in the documentation, but http://docs.julialang.org/en/release-0.4/manual/modules/#standard-modules describes this:
There are three important standard modules: Main, Core, and Base.
Base is the standard library (the contents of base/). All modules
implicitly contain using Base, since this is needed in the vast
majority of cases.

Function signature not found despite showing with methods(...)

I am new to Julia, so this might be trivial.
I have a function definition within a module that looks like (using URIParser):
function add!(graph::Graph,
subject::URI,
predicate::URI,
object::URI)
...
end
Outside of the module, I call:
add!(g, URIParser.URI("http://test.org/1"), URIParser.URI("http://test.org/2"), URIParser.URI("http://test.org/1"))
Which gives me this error:
ERROR: no method add!(Graph,URI,URI,URI)
in include at boot.jl:238
in include_from_node1 at loading.jl:114
at /Users/jbaran/src/RDF/src/RDF.jl:79
Weird. Because when I can see a matching signature:
julia> methods(RDF.add!)
# 4 methods for generic function "add!":
add!(graph::Graph,subject::URI,predicate::URI,object::Number) at /Users/jbaran/src/RDF/src/RDF.jl:29
add!(graph::Graph,subject::URI,predicate::URI,object::String) at /Users/jbaran/src/RDF/src/RDF.jl:36
add!(graph::Graph,subject::URI,predicate::URI,object::URI) at /Users/jbaran/src/RDF/src/RDF.jl:43
add!(graph::Graph,statement::Statement) at /Users/jbaran/src/RDF/src/RDF.jl:68
At first I thought it was my use of object::Union(...), but even when I define three functions with Number, String, and URI, I get this error.
Is there something obvious that I am missing? I am using Julia 0.2.1 x86_64-apple-darwin12.5.0, by the way.
Thanks,
Kim
This looks like you may be getting bit by the very slight difference between method extension and function shadowing.
Here's the short of it. When you write function add!(::Graph, ...); …; end;, Julia looks at just your local scope and sees if add! is defined. If it is, then it will extend that function with this new method signature. But if it's not already defined locally, then Julia creates a new local variable add! for that function.
As JMW's comment suggests, I bet that you have two independent add! functions. Base.add! and RDF.add!. In your RDF module, you're shadowing the definition of Base.add!. This is similar to how you can name a local variable pi = 3 without affecting the real Base.pi in other scopes. But in this case, you want to merge your methods with the Base.add! function and let multiple dispatch take care of the resolution.
There are two ways to get the method extension behavior:
Within your module RDF scope, say import Base: add!. This explicitly brings Base.add! into your local scope as add!, allowing method extension.
Explicitly define your methods as function Base.add!(graph::Graph, …). I like this form as it more explicitly documents your intentions to extend the Base function at the definition site.
This could definitely be better documented. There's a short reference to this in the Modules section, and there's currently a pull request that should be merged soon that will help.

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