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* [Bug optimization/12849] New: testing divisibility by constant
@ 2003-10-30 22:39 gcc-bugzilla at gcc dot gnu dot org
2003-10-30 23:23 ` [Bug optimization/12849] " falk at debian dot org
` (2 more replies)
0 siblings, 3 replies; 4+ messages in thread
From: gcc-bugzilla at gcc dot gnu dot org @ 2003-10-30 22:39 UTC (permalink / raw)
To: gcc-bugs
PLEASE REPLY TO gcc-bugzilla@gcc.gnu.org ONLY, *NOT* gcc-bugs@gcc.gnu.org.
http://gcc.gnu.org/bugzilla/show_bug.cgi?id=12849
Summary: testing divisibility by constant
Product: gcc
Version: 3.3.2
Status: UNCONFIRMED
Severity: normal
Priority: P3
Component: optimization
AssignedTo: unassigned at gcc dot gnu dot org
ReportedBy: user42 at zip dot com dot au
CC: gcc-bugs at gcc dot gnu dot org
GCC build triplet: i486-pc-linux-gnu
GCC host triplet: i486-pc-linux-gnu
GCC target triplet: i486-pc-linux-gnu
I believe tests of divisibility by a constant (ie. n % d == 0, where d
is a compile-time constant) can be improved by the technique described
in section 9 of "Division by Invariant Integers using Multiplication"
by Granlund and Montgomery.
ftp://ftp.cwi.nl/pub/pmontgom/divcnst.psa4.gz
(This section of this paper is what's currently used in gcc for exact
division by a constant arising from pointer subtraction, but the
divisibility tests managed to escape implementation. :-)
Environment:
System: Linux blah 2.2.15 #1 Tue Apr 25 17:13:48 EST 2000 i586 unknown unknown GNU/Linux
Architecture: i586
<machine, os, target, libraries (multiple lines)>
host: i486-pc-linux-gnu
build: i486-pc-linux-gnu
target: i486-pc-linux-gnu
configured with: ../src/configure -v --enable-languages=c,c++,java,f77,pascal,objc,ada,treelang --prefix=/usr --mandir=/usr/share/man --infodir=/usr/share/info --with-gxx-include-dir=/usr/include/c++/3.3 --enable-shared --with-system-zlib --enable-nls --without-included-gettext --enable-__cxa_atexit --enable-clocale=gnu --enable-debug --enable-java-gc=boehm --enable-java-awt=xlib --enable-objc-gc i486-linux
How-To-Repeat:
A little function like,
void
bar (unsigned n)
{
if (n % 3 == 0)
true ();
else
false ();
}
compiled with
gcc -march=athlon -mcpu=athlon -O3 -fomit-frame-pointer -S dive.c
currently comes out with
movl 4(%esp), %ecx
movl $1639179445, %edx
movl %ecx, %eax
mull %edx
shrl $16, %edx
imull $171717, %edx, %edx
cmpl %edx, %ecx
...
I believe instead this could be something like
movl 4(%esp), %ecx
imull $0x4B45300D, %ecx
cmpl $0x61B3, %ecx
...
Notice there's only one low-half multiply, as opposed to a high-half
plus a low-half above.
An even divisor will require an extra rotl (or a separate test of some
low bits), but still ought to be smaller and faster in all cases.
If the actual value of the remainder is wanted then this technique
wouldn't help, it's only for a test for == 0 (or particular values).
When the input does prove to be divisible, then the mul shown gives
the quotient. Maybe that could be noted on the corresponding side of
the branch, in case it allowed for some CSE.
^ permalink raw reply [flat|nested] 4+ messages in thread
* [Bug optimization/12849] testing divisibility by constant
2003-10-30 22:39 [Bug optimization/12849] New: testing divisibility by constant gcc-bugzilla at gcc dot gnu dot org
@ 2003-10-30 23:23 ` falk at debian dot org
2003-10-31 1:13 ` pinskia at gcc dot gnu dot org
2003-10-31 22:01 ` user42 at zip dot com dot au
2 siblings, 0 replies; 4+ messages in thread
From: falk at debian dot org @ 2003-10-30 23:23 UTC (permalink / raw)
To: gcc-bugs
PLEASE REPLY TO gcc-bugzilla@gcc.gnu.org ONLY, *NOT* gcc-bugs@gcc.gnu.org.
http://gcc.gnu.org/bugzilla/show_bug.cgi?id=12849
falk at debian dot org changed:
What |Removed |Added
----------------------------------------------------------------------------
Severity|normal |enhancement
------- Additional Comments From falk at debian dot org 2003-10-30 22:42 -------
If anybody wants to look into this, the material at http://www.hackersdelight.org/
might be useful.
^ permalink raw reply [flat|nested] 4+ messages in thread
* [Bug optimization/12849] testing divisibility by constant
2003-10-30 22:39 [Bug optimization/12849] New: testing divisibility by constant gcc-bugzilla at gcc dot gnu dot org
2003-10-30 23:23 ` [Bug optimization/12849] " falk at debian dot org
@ 2003-10-31 1:13 ` pinskia at gcc dot gnu dot org
2003-10-31 22:01 ` user42 at zip dot com dot au
2 siblings, 0 replies; 4+ messages in thread
From: pinskia at gcc dot gnu dot org @ 2003-10-31 1:13 UTC (permalink / raw)
To: gcc-bugs
PLEASE REPLY TO gcc-bugzilla@gcc.gnu.org ONLY, *NOT* gcc-bugs@gcc.gnu.org.
http://gcc.gnu.org/bugzilla/show_bug.cgi?id=12849
pinskia at gcc dot gnu dot org changed:
What |Removed |Added
----------------------------------------------------------------------------
Status|UNCONFIRMED |NEW
Ever Confirmed| |1
Keywords| |pessimizes-code
Last reconfirmed|0000-00-00 00:00:00 |2003-10-31 01:03:19
date| |
------- Additional Comments From pinskia at gcc dot gnu dot org 2003-10-31 01:03 -------
Nice optimizations.
^ permalink raw reply [flat|nested] 4+ messages in thread
* [Bug optimization/12849] testing divisibility by constant
2003-10-30 22:39 [Bug optimization/12849] New: testing divisibility by constant gcc-bugzilla at gcc dot gnu dot org
2003-10-30 23:23 ` [Bug optimization/12849] " falk at debian dot org
2003-10-31 1:13 ` pinskia at gcc dot gnu dot org
@ 2003-10-31 22:01 ` user42 at zip dot com dot au
2 siblings, 0 replies; 4+ messages in thread
From: user42 at zip dot com dot au @ 2003-10-31 22:01 UTC (permalink / raw)
To: gcc-bugs
PLEASE REPLY TO gcc-bugzilla@gcc.gnu.org ONLY, *NOT* gcc-bugs@gcc.gnu.org.
http://gcc.gnu.org/bugzilla/show_bug.cgi?id=12849
------- Additional Comments From user42 at zip dot com dot au 2003-10-31 22:00 -------
Subject: Re: testing divisibility by constant
I wrote:
>
> if (n % 3 == 0)
Actually, the asm code I included was for a divisor of 171717. Small
values get strength reduction on the multiplies, obscuring what gets
done.
^ permalink raw reply [flat|nested] 4+ messages in thread
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2003-10-30 22:39 [Bug optimization/12849] New: testing divisibility by constant gcc-bugzilla at gcc dot gnu dot org
2003-10-30 23:23 ` [Bug optimization/12849] " falk at debian dot org
2003-10-31 1:13 ` pinskia at gcc dot gnu dot org
2003-10-31 22:01 ` user42 at zip dot com dot au
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