[paultopia]

A solid, featureful & performant numerics library seems like a really good match for Go---if it can match numpy but also provide benefits like the safety of types, binary compilation, and better performance in non-numeric code, that's a really exciting case for sliding away from python?

[microtonal]

I have done some numeric programming in Go and compared to Python it's really hampered by the lack of operator overloading.

Of course, it just provides convenience, but it's what makes writing stuff in numpy, Tensorflow, Eigen, etc elegant.

[paulsutter]

As of reading your comment, I'm 100% convinced that Go needs generics. I'm a longtime Go advocate, love coding in Go, but until now thought the lack of generics is just fine.

Lately I do a lot of numpy/tensorflow, and have begun to really dislike the slowness of python. It would be great to do that work in Go specifically.

[jerf]

If Go was to become big in the scientific programming community, it would need generics eventually.

One interesting thing that NumPy demonstrates is that such things are capable of becoming popular enough that they essentially become their own sub-language. One option in that case, if GoNum collected enough of a community, is to fork Go and add generics. There are some complicated generics options that would be difficult to use, but there's some simpler options that would work, and arguably "generics via templated code generation" is pretty much what you'd want for this use case anyhow since it gives the optimizers the most to work with. Said fork might also add some custom optimizations for this use case. I wouldn't want to deviate too far from core Go because I'd like to be able to keep pulling from that code base if at all possible, but some judicious work here might be a net positive.

[howeman]

I can see the argument for operator overloading being necessary, but I don't understand the argument for generics. There's basically no time I've wanted generics coding Go, except a couple times with float64 vs []float64. I also see the need for float32 vs. float64, but that's a very small use case for generics in terms of scope (we can and do autogenerate float32 code).

There's a couple of cases with float64 vs. complex128 matrices, but I have been annoyed with those silent changes in Matlab where the answer is wrong but the code continues anyway.

[howeman]

Sorry, just saw your thing below. I see your point about [2]float64 vs. [3]float64, but that still feels like mostly an operator overloading thing (I realize it isn't exclusivly). Most of the time I've dealt with that (say, [3][3]float64 vs. [2][2]float64) the contexts were different enough that generics would not have been useful because there would still have to be type switching.

[chewxy]

I wrote Gorgonia and recently wrote a large piece on my thoughts on having generics in Go - https://blog.chewxy.com/2017/09/11/tensor-refactor/

Would love your thoughts on it

[nerdponx]

One of the big perks of Julia comes from its built-in multiple dispatch. Overloading is one thing, but full-blown multiple dispatch is really powerful in a math context, where the concept of "multiplication" is entirely dependent on the types of things you are multiplying.

In Python (despite there being an excellent `multipledispatch` module) this is mostly just handled by aggressive duck typing ("if it has a .foo method, it's good enough"). In R it's handled with S4 classes, which are cool and kind of CLOS-like but are even slower than single dispatch.

So I guess my question is: why do you need generics when you have interfaces? These other (admittedly dynamically typed) languages make do without.

[catnaroek]

For numerical computing, rather than dynamic multiple dispatch, what is actually desirable is a type system that can figure out statically the kinds of result produced by multiplying different kinds of arguments.

[jerf]

"So I guess my question is: why do you need generics when you have interfaces? These other (admittedly dynamically typed) languages make do without."

Going backwards, as you allude to, dynamic languages fulfill the use cases for generics, as long as you don't care about type safety, which is a thing that is true for the whole language anyhow so it's not much to give up.

For Go, the main problem is that when you're trying to be mathematical, with interfaces you get the worst of both the static and the dynamic worlds. You might like to define an interface that lets you add two vectors, right?

    type Vector interface {
        Components() []float64
    }


    type Add interface {
        Add(Vector) Vector
    }

which might let you implement an Add method on something that is a Vector as well, but you don't get a satisfactory result from either perspective. From the static perspective you can not, using interfaces, guarantee that someone doesn't add a Vector3 to a Vector2, meaning you must either panic at run time or have Add potentially return an error (that will generally not be necessary to check if used correctly, which is not a pleasant error to work with). From the dynamic perspective, you have to remember that what comes out the other end of that operation is always an Add interface value, not a concrete type, so if you have a Vector2 and .Add(Vector2) to it, you don't get a concrete Vector2, you get a value of type "interface Add", which you have to manually cast back to a Vector2 if you want to do anything more than just keep adding to it.

You can make Vector2 have a distinct .Add(Vector2) method which does return a Vector2, but then if you also have a "func (v Vector3) Add(Vector3) Vector3" function, there is no way to declare an interface that both of those methods can meet, so you can not write any dimensionally-oblivious code that uses generic vector adding.

In "normal software engineering", Go's interface limitations are often not so bad, certainly not as bad as is often portrayed on HN. However, when you try to create a strongly-type numeric system (and you want it to be strongly-typed because that's also how you get good performance), Go's interface mechanism is basically worthless.

[catnaroek]

> and you want it to be strongly-typed because that's also how you get good performance

What you get performance from is the absence of dynamic checks, not the presence of static ones. Of course, in the absence of dynamic checks, you want static ones for your sanity's sake - but not for performance's sake!

[jerf]

I was speaking in the context of Go. In general, this is the sort of code that JITs are so good at handling that they tend to fool people into thinking they are miracle workers everywhere else where the JIT expense isn't being amortized across million-row matrix multiplications. But Go doesn't have a JIT, and its performance is good enough that I don't expect one to emerge any time soon. (Languages running 50x slower than C have a lot more pressure to try to solve that problem with a JIT than languages that are only 2-3x slower than C.)

[sythe2o0]

Generics wouldn't necessarily bring in operator overloading, though. I haven't seen a Go proposal for generics that actually included it.

[Recurecur]

I think Julia is a far better candidate for high performance numerics than Go. It's just a better designed language in general, it is already higher performance, and it's far more expressive than Go.

When the Julia AOT compilation story is complete, and it's well along now, Julia should dominate a whole lot of Go use cases...