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graphs: make init_short_digraph always sort neighbors but without the extra log complexity (2nd try) #38664

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This PR is based on the closed PR #38427 (by myself) that was breaking too much doctests.

This PR improve the init_short_digraph function that is used to initialize StaticSparseCGraph (used for immutable Graph and DiGraph).

Before, a boolean parameter sort_neighbors was used to specify if we wanted to sort the neighbors or not. It implied an extra log in the complexity (as qsort was called).
With this PR, the neighbors are always sorted at no extra cost. It is done by appending to the neighbors list the vertices in the correct order so the call to qsort is not needed anymore.

This PR partly reverts #38198 and mostly reverts #37662

Contrary to PR #38427, I did not include the patch that remove the sorting of vertices when StaticSparseGraph are initialized because it was breaking too many doctests. Instead I added a option to disabled said sorting and use it in my doctests to check that the new code works.

📝 Checklist

  • The title is concise and informative.
  • The description explains in detail what this PR is about.
  • I have linked a relevant issue or discussion.
  • I have created tests covering the changes.
  • I have updated the documentation and checked the documentation preview.

⌛ Dependencies

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LGTM.

We will have to work on another PR for these remaining sorts...

vbraun pushed a commit to vbraun/sage that referenced this pull request Sep 19, 2024
…rs but without the extra log complexity (2nd try)

    
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to calculate 1 + 2". -->
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example, "Fixes sagemath#12345". -->

This PR is based on the closed PR sagemath#38427 (by myself) that was breaking
too much doctests.

This PR improve the `init_short_digraph` function that is used to
initialize `StaticSparseCGraph` (used for immutable `Graph` and
`DiGraph`).

Before, a boolean parameter `sort_neighbors` was used to specify if we
wanted to sort the neighbors or not. It implied an extra `log` in the
complexity (as `qsort` was called).
With this PR, the neighbors are always sorted at no extra cost. It is
done by appending to the neighbors list the vertices in the correct
order so the call to `qsort` is not needed anymore.

This PR partly reverts sagemath#38198 and mostly reverts sagemath#37662


Contrary to PR sagemath#38427, I did not include the patch that remove the
sorting of vertices when StaticSparseGraph are initialized because it
was breaking too many doctests. Instead I added a option to disabled
said sorting and use it in my doctests to check that the new code works.

### 📝 Checklist

<!-- Put an `x` in all the boxes that apply. -->

- [x] The title is concise and informative.
- [x] The description explains in detail what this PR is about.
- [ ] I have linked a relevant issue or discussion.
- [x] I have created tests covering the changes.
- [ ] I have updated the documentation and checked the documentation
preview.

### ⌛ Dependencies

<!-- List all open PRs that this PR logically depends on. For example,
-->
<!-- - sagemath#12345: short description why this is a dependency -->
<!-- - sagemath#34567: ... -->
    
URL: sagemath#38664
Reported by: cyrilbouvier
Reviewer(s): David Coudert
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2 participants