Call sig_block() in integral callback

[user202729]

Fix #30379 .

The implementation mimic acb_calc_func_callback.

also increase tolerance for a few parts, since the CI system is somewhat unreliable (I've seen a 2.00 being 2.04). I guess 0.1s is still considered almost imperceptible by human.

📝 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

[github-actions]

Documentation preview for this PR (built with commit b66d785; changes) is ready! 🎉
This preview will update shortly after each push to this PR.

[tobiasdiez]

Just got this:

src/bin/sage -t --warn-long 5.0 --random-seed=13341543192946447292488981102614601354 src/sage/doctest/util.py
**********************************************************************
Error: Failed example:: Got: 
cysignals.signals.AlarmInterrupt

During handling of the above exception, another exception occurred:

Traceback (most recent call last):
  File "/Users/runner/miniconda3/envs/sage-dev/lib/python3.13/site-packages/sage/doctest/forker.py", line 734, in _run
    self.compile_and_execute(example, compiler, test.globs)
    ~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/Users/runner/miniconda3/envs/sage-dev/lib/python3.13/site-packages/sage/doctest/forker.py", line 1158, in compile_and_execute
    exec(compiled, globs)
    ~~~~^^^^^^^^^^^^^^^^^
  File "<doctest sage.doctest.util.inaccuracy_tolerance[12]>", line 1, in <module>
    with ensure_interruptible_after(Integer(1)): uninterruptible_sleep(2); raise RuntimeError
         ~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^
  File "/Users/runner/miniconda3/envs/sage-dev/lib/python3.13/contextlib.py", line 162, in __exit__
    self.gen.throw(value)
    ~~~~~~~~~~~~~~^^^^^^^
  File "/Users/runner/miniconda3/envs/sage-dev/lib/python3.13/site-packages/sage/doctest/util.py", line 897, in ensure_interruptible_after
    raise RuntimeError(
            f"Function is not interruptible within {seconds:.4f} seconds, only after {elapsed:.4f} seconds"
            + ("" if alarm_raised else " (__exit__ called before interrupt check)"))
RuntimeError: Function is not interruptible within 1.0000 seconds, only after 2.1566 seconds

    with ensure_interruptible_after(1): uninterruptible_sleep(2r); raise RuntimeError
Expected:
    Traceback (most recent call last):
    ...
    RuntimeError: Function is not interruptible within 1.0000 seconds, only after 2.00... seconds
Got:
    <BLANKLINE>
    cysignals.signals.AlarmInterrupt
    <BLANKLINE>
    During handling of the above exception, another exception occurred:
    <BLANKLINE>
    Traceback (most recent call last):
      File "/Users/runner/miniconda3/envs/sage-dev/lib/python3.13/site-packages/sage/doctest/forker.py", line 734, in _run
        self.compile_and_execute(example, compiler, test.globs)
        ~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
      File "/Users/runner/miniconda3/envs/sage-dev/lib/python3.13/site-packages/sage/doctest/forker.py", line 1158, in compile_and_execute
        exec(compiled, globs)
        ~~~~^^^^^^^^^^^^^^^^^
      File "<doctest sage.doctest.util.inaccuracy_tolerance[12]>", line 1, in <module>
        with ensure_interruptible_after(Integer(1)): uninterruptible_sleep(2); raise RuntimeError
             ~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^
      File "/Users/runner/miniconda3/envs/sage-dev/lib/python3.13/contextlib.py", line 162, in __exit__
        self.gen.throw(value)
        ~~~~~~~~~~~~~~^^^^^^^
      File "/Users/runner/miniconda3/envs/sage-dev/lib/python3.13/site-packages/sage/doctest/util.py", line 897, in ensure_interruptible_after
        raise RuntimeError(
                f"Function is not interruptible within {seconds:.4f} seconds, only after {elapsed:.4f} seconds"
                + ("" if alarm_raised else " (__exit__ called before interrupt check)"))
    RuntimeError: Function is not interruptible within 1.0000 seconds, only after 2.1566 seconds
**********************************************************************
1 item had failures:
   1 of  17 in sage.doctest.util.inaccuracy_tolerance

https://github.com/sagemath/sage/actions/runs/18576442855/job/52962606814

so the increase in tolerance would be not enough. Maybe there is an actual issue here?

[user202729]

sounds like one of these extremely-difficult-to-debug issue. Given that I also can't reproduce it internally, I'd guess that GitHub CI machines are some virtual machine thing and may need to compete with other virtual machines concurrently running, which would explain the (extreme) fluctuation.

[user202729]

I suspect garbage collector. Let's see if #41072 helps.

[user202729]

that 2.1566 is unrelated to the change in this pull request (add sig_block) though.

[vbraun]

There is a tolerance missing on this test

**********************************************************************
File "src/sage/doctest/util.py", line 846, in sage.doctest.util.inaccuracy_tolerance
Failed example:
    with ensure_interruptible_after(2) as data: interruptible_sleep(1r)
Expected:
    Traceback (most recent call last):
    ...
    RuntimeError: Function terminates early after 1.00... < 2.0000 seconds
Got:
    <BLANKLINE>
    Traceback (most recent call last):
      File "/Users/buildbot-sage/worker/sage_git/build/src/sage/doctest/forker.py", line 734, in _run
        self.compile_and_execute(example, compiler, test.globs)
      File "/Users/buildbot-sage/worker/sage_git/build/src/sage/doctest/forker.py", line 1158, in compile_and_execute
        exec(compiled, globs)
      File "<doctest sage.doctest.util.inaccuracy_tolerance[9]>", line 1, in <module>
        with ensure_interruptible_after(Integer(2)) as data: interruptible_sleep(1)
      File "/Users/buildbot-sage/worker/sage_git/build/local/var/lib/sage/venv-python3.12.5/lib/python3.12/contextlib.py", line 144, in __exit__
        next(self.gen)
      File "/Users/buildbot-sage/worker/sage_git/build/src/sage/doctest/util.py", line 904, in ensure_interruptible_after
        raise RuntimeError(f"Function terminates early after {elapsed:.4f} < {seconds:.4f} seconds")
    RuntimeError: Function terminates early after 0.9982 < 2.0000 seconds
**********************************************************************

[cxzhong]

There is a tolerance missing on this test

**********************************************************************
File "src/sage/doctest/util.py", line 846, in sage.doctest.util.inaccuracy_tolerance
Failed example:
    with ensure_interruptible_after(2) as data: interruptible_sleep(1r)
Expected:
    Traceback (most recent call last):
    ...
    RuntimeError: Function terminates early after 1.00... < 2.0000 seconds
Got:
    <BLANKLINE>
    Traceback (most recent call last):
      File "/Users/buildbot-sage/worker/sage_git/build/src/sage/doctest/forker.py", line 734, in _run
        self.compile_and_execute(example, compiler, test.globs)
      File "/Users/buildbot-sage/worker/sage_git/build/src/sage/doctest/forker.py", line 1158, in compile_and_execute
        exec(compiled, globs)
      File "<doctest sage.doctest.util.inaccuracy_tolerance[9]>", line 1, in <module>
        with ensure_interruptible_after(Integer(2)) as data: interruptible_sleep(1)
      File "/Users/buildbot-sage/worker/sage_git/build/local/var/lib/sage/venv-python3.12.5/lib/python3.12/contextlib.py", line 144, in __exit__
        next(self.gen)
      File "/Users/buildbot-sage/worker/sage_git/build/src/sage/doctest/util.py", line 904, in ensure_interruptible_after
        raise RuntimeError(f"Function terminates early after {elapsed:.4f} < {seconds:.4f} seconds")
    RuntimeError: Function terminates early after 0.9982 < 2.0000 seconds
**********************************************************************

This has been fixed now in my PR #41263. And seems unrelevant with this PR. So I set it to positive.