What does extended slice syntax actually do for negative steps?

list, python, slice, syntactic-sugar

Solution

`[-1:0:-1]` means: start from the index `len(string)-1` and move up to `0`(not included) and take a step of `-1`(reverse).

So, the following indexes are fetched:

le-1, le-1-1, le-1-1-1  .... 1  # le is len(string)

example:

In [24]: strs = 'foobar'

In [25]: le = len(strs)

In [26]: strs[-1:0:-1]  # the first -1 is equivalent to len(strs)-1

Out[26]: 'raboo'

In [27]: strs[le-1:0:-1]   
Out[27]: 'raboo'

Problem

The extended slice syntax in python has been explained to me as "`a[n:m:k] returns every kth element from n to m`". This gives me a good idea what to expect when k is positive. But I'm lost on how to interpret `a[n:m:k]` for negative k. I know that `a[::-1]` reverses a, and that `a[::-k]` takes ever kth element of the reversed a. But how is this a generalization of the definition for k positive? I'd like to know how `a[n:m:k]` is actually defined, so that (for example) I can understand why: ``` "abcd"[-1:0:-1] = "dcb" ``` Is `a[n:m:-k]` reversing the sequence a, then taking the elements with original indices starting from n and ending one before m or something? I don't think so, because this pattern doesn't fit other values of n and m I've tried. But I'm at a loss to figure out how this is actually defined, and searching has gotten me nowhere.

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