GC: Implementation does not match behavior documented on `gc.set_threshold`

Bug report

Bug description:

The documentation of gc.set_threshold states:

In order to decide when to run, the collector keeps track of the number object allocations and deallocations since the last collection. When the number of allocations minus the number of deallocations exceeds threshold0, collection starts

This doesn't seem to be accurate. Looking at the implementation, it appears that young.count is being used to track number of allocations minus the number of deallocations. However it doesn't actually track this due to the if (gcstate->young.count > 0) check here: https://github.com/python/cpython/blob/3.13/Python/gc.c#L2119.

As a concrete example, suppose threshold0=500. Suppose the GC runs and young.count is reset to 0, then 500 deallocations happen (by object ref counts dropping to 0), then 500 allocations happen. According to the documentation the GC would not run in this case, because the difference between allocations and deallocations is 0. However the actual tracked number in young.count will be 500, and GC will trigger.

I'm unsure which is the expected behavior; the documented one or the implemented one, but it does appear that the two do not currently agree.

CPython versions tested on:

3.13

Operating systems tested on:

macOS

Linked PRs

• gh-156877

gc.set_threshold の文書化された動作と、Python/gc.c の 2119 行付近にある young.count の処理から始めます。報告された割り当ておよび割り当て解除のシナリオを実装と比較し、その後、リンクされている PR gh-156877 を確認します。実装とドキュメントが意図されたしきい値の動作について一致すれば完了です。