[3.12] gh-118164: str(10**10000) hangs if the C _decimal module is missing (GH-118503) (GH-118584)

Serhiy and I independently concluded that exact powers of 10
aren't possible in these contexts, so just checking the
string length is sufficient.

(cherry picked from commit 999f0c5122)

Co-authored-by: Tim Peters <tim.peters@gmail.com>
Co-authored-by: Serhiy Storchaka <storchaka@gmail.com>

Lib/_pydecimal.py

@@ -2131,10 +2131,16 @@ class Decimal(object):
             else:
                 return None
 
-            if xc >= 10**p:
+            # An exact power of 10 is representable, but can convert to a
+            # string of any length. But an exact power of 10 shouldn't be
+            # possible at this point.
+            assert xc > 1, self
+            assert xc % 10 != 0, self
+            strxc = str(xc)
+            if len(strxc) > p:
                 return None
             xe = -e-xe
-            return _dec_from_triple(0, str(xc), xe)
+            return _dec_from_triple(0, strxc, xe)
 
         # now y is positive; find m and n such that y = m/n
         if ye >= 0:
@@ -2184,13 +2190,18 @@ class Decimal(object):
             return None
         xc = xc**m
         xe *= m
-        if xc > 10**p:
+        # An exact power of 10 is representable, but can convert to a string
+        # of any length. But an exact power of 10 shouldn't be possible at
+        # this point.
+        assert xc > 1, self
+        assert xc % 10 != 0, self
+        str_xc = str(xc)
+        if len(str_xc) > p:
             return None
 
         # by this point the result *is* exactly representable
         # adjust the exponent to get as close as possible to the ideal
         # exponent, if necessary
-        str_xc = str(xc)
         if other._isinteger() and other._sign == 0:
             ideal_exponent = self._exp*int(other)
             zeros = min(xe-ideal_exponent, p-len(str_xc))

Lib/test/test_decimal.py

@@ -4722,9 +4722,33 @@ class PyWhitebox(unittest.TestCase):
 
             c.prec = 1
             x = Decimal("152587890625") ** Decimal('-0.5')
+            self.assertEqual(x, Decimal('3e-6'))
+            c.prec = 2
+            x = Decimal("152587890625") ** Decimal('-0.5')
+            self.assertEqual(x, Decimal('2.6e-6'))
+            c.prec = 3
+            x = Decimal("152587890625") ** Decimal('-0.5')
+            self.assertEqual(x, Decimal('2.56e-6'))
+            c.prec = 28
+            x = Decimal("152587890625") ** Decimal('-0.5')
+            self.assertEqual(x, Decimal('2.56e-6'))
+
             c.prec = 201
             x = Decimal(2**578) ** Decimal("-0.5")
 
+            # See https://github.com/python/cpython/issues/118027
+            # Testing for an exact power could appear to hang, in the Python
+            # version, as it attempted to compute 10**(MAX_EMAX + 1).
+            # Fixed via https://github.com/python/cpython/pull/118503.
+            c.prec = P.MAX_PREC
+            c.Emax = P.MAX_EMAX
+            c.Emin = P.MIN_EMIN
+            c.traps[P.Inexact] = 1
+            D2 = Decimal(2)
+            # If the bug is still present, the next statement won't complete.
+            res = D2 ** 117
+            self.assertEqual(res, 1 << 117)
+
     def test_py_immutability_operations(self):
         # Do operations and check that it didn't change internal objects.
         Decimal = P.Decimal
@@ -5737,7 +5761,6 @@ class CWhitebox(unittest.TestCase):
         with C.localcontext(rounding=C.ROUND_DOWN):
             self.assertEqual(format(y, '#.1f'), '6.0')
 
-
 @requires_docstrings
 @requires_cdecimal
 class SignatureTest(unittest.TestCase):

Misc/NEWS.d/next/Library/2024-05-04-20-22-59.gh-issue-118164.9D02MQ.rst

@@ -0,0 +1 @@
+The Python implementation of the ``decimal`` module could appear to hang in relatively small power cases (like ``2**117``) if context precision was set to a very high value. A different method to check for exactly representable results is used now that doesn't rely on computing ``10**precision`` (which could be effectively too large to compute).