Optimise numeric division for one and two base-NBASE digit divisors.
Formerly div_var() had "fast path" short division code that was
significantly faster when the divisor was just one base-NBASE digit,
but otherwise used long division.
This commit adds a new function div_var_int() that divides by an
arbitrary 32-bit integer, using the fast short division algorithm, and
updates both div_var() and div_var_fast() to use it for one and two
digit divisors. In the case of div_var(), this is slightly faster in
the one-digit case, because it avoids some digit array copying, and is
much faster in the two-digit case where it replaces long division. For
div_var_fast(), it is much faster in both cases because the main
div_var_fast() algorithm is optimised for larger inputs.
Additionally, optimise exp() and ln() by using div_var_int(), allowing
a NumericVar to be replaced by an int in a couple of places, most
notably in the Taylor series code. This produces a significant speedup
of exp(), ln() and the numeric_big regression test.
Dean Rasheed, reviewed by Tom Lane.
Discussion: https://postgr.es/m/CAEZATCVwsBi-ND-t82Cuuh1=8ee6jdOpzsmGN+CUZB6yjLg9jw@mail.gmail.com
Branch
------
master
Details
-------
https://git.postgresql.org/pg/commitdiff/d1b307eef2818fe24760cc2c168d7d65d59775a8
Modified Files
--------------
src/backend/utils/adt/numeric.c | 223 ++++++++++++++++++++++++++++++++--------
1 file changed, 180 insertions(+), 43 deletions(-)