pitrou commented on issue #35576:
URL: https://github.com/apache/arrow/issues/35576#issuecomment-1563041988

   The issue is with the algorithm used in `Decimal128::FromReal`. We can 
reproduce the underlying precision problem by repeating the first steps of the 
algorithm in Python:
   ```pycon
   >>> powers_of_ten = [1e-38, 1e-37, 1e-36, 1e-35, 1e-34, 1e-33, 1e-32, 1e-31, 
1e-30, 1e-29, 1e-28,
   ...:     1e-27, 1e-26, 1e-25, 1e-24, 1e-23, 1e-22, 1e-21, 1e-20, 1e-19, 
1e-18, 1e-17,
   ...:     1e-16, 1e-15, 1e-14, 1e-13, 1e-12, 1e-11, 1e-10, 1e-9,  1e-8,  
1e-7,  1e-6,
   ...:     1e-5,  1e-4,  1e-3,  1e-2,  1e-1,  1e0,   1e1,   1e2,   1e3,   1e4, 
  1e5,
   ...:     1e6,   1e7,   1e8,   1e9,   1e10,  1e11,  1e12,  1e13,  1e14,  
1e15,  1e16,
   ...:     1e17,  1e18,  1e19,  1e20,  1e21,  1e22,  1e23,  1e24,  1e25,  
1e26,  1e27,
   ...:     1e28,  1e29,  1e30,  1e31,  1e32,  1e33,  1e34,  1e35,  1e36,  
1e37,  1e38]
   >>> int(powers_of_ten[38+10]*1234567890.)
   12345678900000000000
   >>> int(powers_of_ten[38+11]*1234567890.)
   123456788999999995904
   >>> int(powers_of_ten[38+12]*1234567890.)
   1234567890000000057344
   ```
   
   Also it looks like I'm the culprit:
   https://github.com/apache/arrow/pull/7612
   :-)


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