Haskell function composition (.) and function application ($) idioms: correct use

一曲冷凌霜 提交于 2019-11-26 18:21:54
Don Stewart

I guess I can answer this from authority.

Is there a reason for using the books way that is much better than using all ($) symbols?

There's no special reason. Bryan and I both prefer to reduce line noise. . is quieter than $. As a result, the book uses the f . g . h $ x syntax.

They are indeed equivalent: Keep in mind that the $ operator does, essentially, nothing. f $ x evaluates to f x. The purpose of $ is its fixity behavior: right-associative and minimal precedence. Removing $ and using parentheses for grouping instead of infix precedence, the code snippets look like this:

k = a (b (c (value)))

and

k = (a . b . c) value

The reason for preferring the . version over the $ version is the same reason for preferring both over the very parenthesized version above: aesthetic appeal.

Although, some might wonder if using infix operators instead of parentheses is based on some subconscious urge to avoid any possible resemblance to Lisp (just kidding... I think?).

sclv

I'd add that in f . g $ x, f . g is a meaningful syntactic unit.

Meanwhile, in f $ g $ x, f $ g is not a meaningful unit. A chain of $ is arguably more imperative -- first get the result of g of x, then do f to it, then do foo to it, then etc.

Meanwhile a chain of . is arguably more declarative, and in some sense closer to a dataflow centric view -- compose a series of functions, and ultimately apply them to something.

Antal Spector-Zabusky

For me, I think the answer is (a) the neatness, as Don said; and (b) I find that when I'm editing code, my function may end up in point-free style, and then all I have to do is delete the last $ instead of going back and changing everything. A minor point, certainly, but a nicety.

There's an interesting discussion of this question on this haskell-cafe thread. Apparently there's a minority viewpoint that holds that the right associativity of $ is "just plain wrong", and choosing f . g . h $ x over f $ g $ h $ x is one way of side-stepping the issue.

It's just a matter of style. However, the way the book does it makes more sense to me. It composes all the functions, and then applies it to the value.

Your method just looks strange, and the last $ is unnecessary.

However, it really doesn't matter. In Haskell, there are usually many, many, correct ways to do the same thing.

hackeryarn

I realize this is a very old question, but I think there is another reason for this that hasn't been mentioned.

If you are declaring a new point-free function f . g . h, the value you pass in will be automatically be applied. However, if you write f $ g $ h, it will not work.

I think the reason the author prefers the composition method is because it leads to a good practice of building up functions.

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