.random_element() stalls for Tuples

[maxale]

Steps To Reproduce

The following code does not produce a result:

sage: Tuples(range(3),30).random_element()

Expected Behavior

Generating a random tuple should be instantaneous. For the example given above it can be done along these lines:

sage: myrange = list(range(3))
sage: [choice(myrange) for _ in range(30)]

Actual Behavior

Call to .random_element() stalls.

Additional Information

No response

Environment

• OS: Ubuntu 24.04.2 LTS
• Sage Version: 10.6.beta5

Checklist

• I have searched the existing issues for a bug report that matches the one I want to file, without success.
• I have read the documentation and troubleshoot guide

[DaveWitteMorris]

i think the problem is that Tuples uses the generic implementation of __getitem__ that is defined for all enumerated sets: to find T[n], it goes through the tuples one at a time until the nth one is reached. (Technically, unrank is called directly, instead of __getitem__, because __getitem__ is basically a wrapper around unrank.) This should be easy to fix by providing Tuples with a custom unrank method that constructs T[n] directly.