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(2^63 - 1)::bigint => out of range? (because of the double precision)

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Hi there,

I've decided to run some tests to see how my tables' ids would survive
when their yielding sequences would start hitting their MAXVALUE's, by
doing some "SELECT setval('foo_id_seq', ~maxbigint)".  As I don't like
to hardcode numbers (esp. huge numbers, because sequences are always[*]
bigint's), I've tried to use (2^63 - 1)::bigint as "maxbigint", to no
avail, in contrast to (2^31 - 1)::int (-> below is short mnemonic for
"returns"):

  select (2^31 - 1)::int		-> 2147483647 (correct)

  select (2^63 - 1)::bigint		-> bigint out of range (???)
  select (9223372036854775807)::bigint	-> 9223372036854775807 (correct)

Apparently, this is because the type of 2^63 is double precision, which
is inexact; if I explicitly cast any of 2 or 63 to ::numeric, it behaves
as expected:

  select (2::numeric^63 - 1)::bigint	-> 9223372036854775807 (ok)
  select (2^63::numeric - 1)::bigint	-> 9223372036854775807 (ditto)

What is the rationale for (int ^ int) to return double precision rather
than numeric?  I am missing something obvious here?

./danfe

P.S.  On a tangentally related note, why is "NO CYCLE" is the default
for sequences?

[*] Per documentation, "The [SQL] standard's AS <data type> expression
is not supported."  Another "why is it so?" question, btw. ;-)




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