[3.9] gh-95778: CVE-2020-10735: Prevent DoS by very large int() (#96502)
authorGregory P. Smith <greg@krypto.org>
Mon, 5 Sep 2022 09:21:03 +0000 (02:21 -0700)
committerAdrian Bunk <bunk@debian.org>
Sun, 1 Dec 2024 12:12:57 +0000 (14:12 +0200)
commitc8f0eebc238e1b126811992e8076d020d5589fab
treec5c66cffa1fe6df34cd8ddf5dce8f614a49ed277
parent0e335b91ab36d18770345528a634666ac27b67af
[3.9] gh-95778: CVE-2020-10735: Prevent DoS by very large int() (#96502)

* Correctly pre-check for int-to-str conversion (#96537)

Converting a large enough `int` to a decimal string raises `ValueError` as expected. However, the raise comes _after_ the quadratic-time base-conversion algorithm has run to completion. For effective DOS prevention, we need some kind of check before entering the quadratic-time loop. Oops! =)

The quick fix: essentially we catch _most_ values that exceed the threshold up front. Those that slip through will still be on the small side (read: sufficiently fast), and will get caught by the existing check so that the limit remains exact.

The justification for the current check. The C code check is:
```c
max_str_digits / (3 * PyLong_SHIFT) <= (size_a - 11) / 10
```

In GitHub markdown math-speak, writing $M$ for `max_str_digits`, $L$ for `PyLong_SHIFT` and $s$ for `size_a`, that check is:
$$\left\lfloor\frac{M}{3L}\right\rfloor \le \left\lfloor\frac{s - 11}{10}\right\rfloor$$

From this it follows that
$$\frac{M}{3L} < \frac{s-1}{10}$$
hence that
$$\frac{L(s-1)}{M} > \frac{10}{3} > \log_2(10).$$
So
$$2^{L(s-1)} > 10^M.$$
But our input integer $a$ satisfies $|a| \ge 2^{L(s-1)}$, so $|a|$ is larger than $10^M$. This shows that we don't accidentally capture anything _below_ the intended limit in the check.

<!-- gh-issue-number: gh-95778 -->
* Issue: gh-95778
<!-- /gh-issue-number -->

Co-authored-by: Gregory P. Smith [Google LLC] <greg@krypto.org>
Co-authored-by: Christian Heimes <christian@python.org>
Co-authored-by: Mark Dickinson <dickinsm@gmail.com>
Gbp-Pq: Name 0002-3.9-gh-95778-CVE-2020-10735-Prevent-DoS-by-very-larg.patch
24 files changed:
Doc/library/functions.rst
Doc/library/json.rst
Doc/library/stdtypes.rst
Doc/library/sys.rst
Doc/library/test.rst
Doc/using/cmdline.rst
Include/internal/pycore_initconfig.h
Include/internal/pycore_interp.h
Include/internal/pycore_long.h [new file with mode: 0644]
Lib/test/support/__init__.py
Lib/test/test_ast.py
Lib/test/test_cmd_line.py
Lib/test/test_compile.py
Lib/test/test_decimal.py
Lib/test/test_int.py
Lib/test/test_json/test_decode.py
Lib/test/test_sys.py
Lib/test/test_xmlrpc.py
Makefile.pre.in
Objects/longobject.c
Parser/pegen/pegen.c
Python/clinic/sysmodule.c.h
Python/initconfig.c
Python/sysmodule.c