Problem Description

I'm pretty sure sage wants to use all kinds of numbers without losing precision, or errors, since I can see sys.set_int_max_str_digits(0) in all.py.

However, even with the limit set to 0 (unlimited) in all.py which is called during import, it still cannot handle 4301+ digits integers, because Python refuses to run if there's 4301+ digit number in the first place.

For example, the following sage code has the following error (the 11...11 is actually 5000 digits of 1):

long.sage

a = 11...11

sage long.sage
  File "/home/soon_haari/mysage/long.sage.py", line 6
    _sage_const_11...11
SyntaxError: Exceeds the limit (4300 digits) for integer string conversion: value has 5000 digits; use sys.set_int_max_str_digits() to increase the limit - Consider hexadecimal for huge integer literals to avoid decimal conversion limits.

In more details, 11...11 parses to Integer(11...11) where 11...11 in Integer is supposed to be <class 'int'> in Python.
I suggest it parses to Integer('11...11') instead.

Funnily enough, real/complex numbers like 1.1 or 1j or even 1.1j have no problem due to long digits, because it parses to RealNumber('1.1'), ComplexNumber(0, '1'), ComplexNumber(0, '1.1') which use string as arguments already. I suggest the same fix.

Proposed Solution

Make Integers use strings as arguments as well.

Alternatives Considered

.

Additional Information

Here's the PR:
#40178

Is there an existing issue for this?

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