Bug in Python List Ops test

Re: iter exercise. I think an iterator exercise could be interesting. I don’t think that would necessarily deprecate this exercise, though. This exercise is specifically about lists. Students can solve this exercise pretty concisely or go all in and get pretty messy with it. It is a fairly open ended exercise which can make it fun.

Re: changes here. I believe I’ve shared my thoughts on that already :grin:

I think it does. Iterators in Python - especially when you get into yield and related syntax - are very different from lists, so there will be a learning benefit in keeping both exercises.

Canonical data: as you said, Bethany, “the Python track (and others) deviate when it makes sense in support of idioms or features in that language.” Considering that functools.reduce and `itertools.accumulate - what Python devs use in real life - implements have the initializer second, it makes in my opinion more sense from the (student’s) long-term benefit to standardize with that, and as Matthijs suggests, modify and add the missing tests to be consistent with the prior solutions. The obvious advantage of this approach is that current solutions aren’t invalidated, but the importance of abiding by Exercism canonical data vs. Python style is what we’ve got to decide.

What I suspect happened:

  1. At some point the Python track might have been in sync with the canonical data.
  2. The Python track then subconsciously adopted the Haskell tradition through an additional test.
  3. Later on, in an effort to cover associativity, the canonical data adopted a different tradition.
  4. Attempting to synchronize, the Python track ran into a conflict and as a quick solution removed the now-offending canonical test.

So I don’t think the Python track truly deviated.

Neither aspects are really the issue here. Instead, it is the parameter order of the accumulating function:

haskell_tradition = lambda acc, new: (acc, new)
racket_tradition  = lambda new, acc: (acc, new)

reduce(haskell_tradition, [1, 2, 3], ())
# ⟹ ((((), 1), 2), 3)
reduce(racket_tradition, [1, 2, 3], ())
# ⟹ (3, (2, (1, ())))

list(accumulate([1, 2, 3], haskell_tradition, initial=()))
# ⟹ [(), ((), 1), (((), 1), 2), ((((), 1), 2), 3)]
list(accumulate([1, 2, 3], racket_tradition, initial=()))
# ⟹ [(), (1, ()), (2, (1, ())), (3, (2, (1, ())))]

But yes, Python follows the Haskell tradition here. Python’s reduce is like Haskell’s foldl, and accumulate is like scanl.

(Why I use the terms «Haskell tradition» and «Racket tradition»: StackOverflow answer.)

By the way: Haskell’s foldr also works left-to-right, and any foldr in Python that works on infinite iterators will work left-to-right as well – though such a foldr might be annoying to construct in Python (because laziness is required).

Given an Iterator Ops I am not in a hurry to deprecate List Ops.

I would like both exercise appends/introductions to point to each other. List Ops could use some fleshing out of the appendage anyway.

I do not see the use of freezing List Ops.


Coming back to the original issue…

The current tests do not cover accumulating functions that are not associative. This does look like a bug to me: associativity is the defining difference between foldl and foldr.

The point of both d7fcad99-e88e-40e1-a539-4c519681f390 (foldl) and 8066003b-f2ff-437e-9103-66e6df474844 (foldr) and their predecessors was to cover these cases. Maybe we should just revert to said predecessors.

That tracks. :wink:

Ah! Thank you. This (and the detail that follows) really helps my understanding.

I think fleshing out/adding an instruction append here is definitely needed. I am sure I am not the only person who is fuzzy on the relationships you’ve described. :smile:

I agree. But the fact that Python generally follows the Haskell tradition (and in light of Peters excellent note that you referred to earlier) means we either follow that tradition here with an instruction append that makes it clear why and implement the canonical cases to conform – or we follow the Racket tradition and write an instruction append that explains why.

I think I’d prefer to stick with Haskell tradition, unless someone can convince me that there is a compelling idiomatic Python / learning opportunity here.

Either way, this exercise now needs a detailed and clear instruction append.

Ok. Let me think on it a bit more. Thank you all for chiming in.

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We could swap the foldr args to use func(el, acc) … but foldl uses func(acc, el). The foldr and foldl are not consistent. If we to Python to adhere to one style or the other, foldl or foldr is going to break. Or we could swap the order on foldr to make foldr use func(el, acc) and use the problem specs … but leave foldl as-is using func(acc, el).

I updated the PR so foldr uses func(el, acc), but left foldl as-is, calling func(acc, el). This approach (1) uses all the latest problem-spec tests and (2) does not break existing solutions.

@IsaacG I’m way less concerned about breaking the 1500 solutions as I am being inconsistent between foldl and foldr, and then confusing students even further.

So I think we make the JinJa2 change to make d7fcad99-e88e-40e1-a539-4c519681f390 work, and then enable 8066003b-f2ff-437e-9103-66e6df474844 and change the example solution to pass.

As for the additional case - the easiest is to drop it. If you’d like to re-write it to conform to the pattern in 8066003b-f2ff-437e-9103-66e6df474844, be my guest. But I wouldn’t go to a lot of work, as I don’t really think its a necessary case, once we have 8066003b-f2ff-437e-9103-66e6df474844 enabled.

@MatthijsBlom - are you interested in doing the instruction append here? We can also wait, if you’d like to get a start on the iterator-ops exercise first…

I think we established that foldl should be like Python’s reduce / Haskell’s foldl, and so the following should be a valid implementation.

def foldl(f, xs, init):
    acc = init
    for x in xs:
        acc = f(acc, x)
    return acc

(The current example implementation is (extensionally) equivalent.)

As for foldr: there is no precedent in Python-the-language, but the track has required accumulator-second for years. Isaac has adapted the tests to this style, and it has my favour.

There are several applicable notions of ‘consistency’:

  • If both foldl and foldr take (acc, el) -> acc, then sure their signatures are the same :person_shrugging:
  • But if foldl takes (acc, el) -> acc and foldr takes (el, acc) -> acc then :tada:
    foldl(⊕, [a, b, c], x)  ==  ((x ⊕ a) ⊕ b) ⊕ c
    foldr(⊕, [a, b, c], x)  ==  a ⊕ (b ⊕ (c ⊕ x))
    
    A symmetry all of its own. (And really nice to explain!)

Valid implementations of this foldr include the current example and

def flip(f): return lambda x, y: f(y, x)

# pardon my French
def foldr(f, xs, init):
    return foldl(flip(f), reversed(xs), init)

# pardon my Latin
def foldr(f, xs, init):
    xs = iter(xs)
    for x in xs:
        return f(x, foldr(f, xs, init))
    return init

With Isaac’s patch there is no need to change the example solution. It is entirely backwards compatible.

No need. This old associativity test agrees with the new ones. At worst it is redundant. But it is nicer to debug for a student.

Isaac has already ‘rewritten’ it. The (tiny!) change to additional_tests.json makes me wish (again :disappointed:) that JSON allowed comments: for days I have thought that it now contains an error, but it doesn’t.

@IsaacG opening the PR would allow comments on code and seeing the tests turn out green.

Can someone just file this PR please?
If not, I will.
And then we are going to close this discussion.
Thanks.

I believe this is in line with what @MatthijsBlom is suggesting.

PR version two: [list-ops]: change // to / and swap foldl/foldr arg order to both call func(el, acc) by IsaacG · Pull Request #3403 · exercism/python · GitHub
This swaps the order of both so foldl and foldr both use func(el, acc)

I have no preference between the two.

It is; I don’t see any fault in this PR.

Awesome! However, our valiant track maintainer indicated a preference with having both folds use the same arg order to reduce student confusion, hence the second PR.

Sure. I’ll start tomorrow morning. Things to write about:

  • the meaning of foldl and foldr (both ‘direction’ and argument order)
  • that this exercise is as interesting as you make it yourself; some suggestions for self-imposed restrictions

Anything else?

Many thanks.

edited to add: You might want to dig through this issue in the repo for other things to include. Turns out, this is not the first time significant time has been consumed debating the details of this exercise.


I think I’d add a brief explanation of how the tests are implemented in Python, and how that ties into the meaning of foldl and foldr (and also serves as a note/warning to our future selves or future maintainers).

And maybe mentioning functools.reduce in the context of foldl and foldr could be helpful, but I will leave that up to you.

And a diagram/diagrams may be useful. If so, I can help make them (or not).

@jonathanmiddleton - can we lock this please? Many thanks.

Hey @BethanyG - all done :+1: