pgsql: Allow numeric scale to be negative or greater than precision.

Allow numeric scale to be negative or greater than precision.

Formerly, when specifying NUMERIC(precision, scale), the scale had to
be in the range [0, precision], which was per SQL spec. This commit
extends the range of allowed scales to [-1000, 1000], independent of
the precision (whose valid range remains [1, 1000]).

A negative scale implies rounding before the decimal point. For
example, a column might be declared with a scale of -3 to round values
to the nearest thousand. Note that the display scale remains
non-negative, so in this case the display scale will be zero, and all
digits before the decimal point will be displayed.

A scale greater than the precision supports fractional values with
zeros immediately after the decimal point.

Take the opportunity to tidy up the code that packs, unpacks and
validates the contents of a typmod integer, encapsulating it in a
small set of new inline functions.

Bump the catversion because the allowed contents of atttypmod have
changed for numeric columns. This isn't a change that requires a
re-initdb, but negative scale values in the typmod would confuse old
backends.

Dean Rasheed, with additional improvements by Tom Lane. Reviewed by
Tom Lane.

Discussion: https://postgr.es/m/CAEZATCWdNLgpKihmURF8nfofP0RFtAKJ7ktY6GcZOPnMfUoRqA@mail.gmail.com

Branch
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master

Details
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https://git.postgresql.org/pg/commitdiff/085f931f52494e1f304e35571924efa6fcdc2b44

Modified Files
--------------
doc/src/sgml/datatype.sgml                 |  48 ++++++++++-
src/backend/utils/adt/numeric.c            | 130 +++++++++++++++++++++--------
src/include/catalog/catversion.h           |   2 +-
src/include/utils/numeric.h                |  16 +++-
src/test/regress/expected/numeric.out      |  63 ++++++++++++++
src/test/regress/expected/sanity_check.out |   1 +
src/test/regress/sql/numeric.sql           |  34 ++++++++
7 files changed, 251 insertions(+), 43 deletions(-)