Re: Greatest Common Divisor

From: Vik Fearing <vik(dot)fearing(at)2ndquadrant(dot)com>
To: Tom Lane <tgl(at)sss(dot)pgh(dot)pa(dot)us>
Cc: Fabien COELHO <coelho(at)cri(dot)ensmp(dot)fr>, Stephen Frost <sfrost(at)snowman(dot)net>, Dean Rasheed <dean(dot)a(dot)rasheed(at)gmail(dot)com>, Chapman Flack <chap(at)anastigmatix(dot)net>, PostgreSQL Hackers <pgsql-hackers(at)lists(dot)postgresql(dot)org>
Subject: Re: Greatest Common Divisor
Date: 2020-01-04 00:21:32
Message-ID: c2fa7d6e-3733-51da-2967-58d2ae72267f@2ndquadrant.com
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On 04/01/2020 00:49, Tom Lane wrote:
> Vik Fearing <vik(dot)fearing(at)2ndquadrant(dot)com> writes:
>> On 03/01/2020 20:14, Fabien COELHO wrote:
>>> The point of swapping is to a void possibly expensive modulo, but this
>>> should be done on absolute values, otherwise it may not achieve its
>>> purpose as stated by the comment?
>> Ah, true. How widespread are these architectures that need this special
>> treatment? Is it really worth handling?
> On some older RISC architectures, integer division is really slow, like
> slower than floating-point. I'm not sure if that's true on any platform
> people still care about though. In recent years, CPU architects have been
> able to throw all the transistors they needed at such problems. On a
> machine with single-cycle divide, it's likely that the extra
> compare-and-branch is a net loss.

OK.

> Might be worth checking it on ARM in particular, as being a RISC
> architecture that's still popular.

I don't know how I would check this.

> Also, if we end up having a "numeric" implementation, it absolutely is
> worth it for that, because there is nothing cheap about numeric_div.

The patch includes a numeric version, and I take care to short-circuit
everything I can.

> I'd be sort of inclined to have the swap in the other implementations
> just to keep the algorithms as much alike as possible.

They can't quite be the same behavior because numeric doesn't have the
unrepresentable -INT_MIN problem, and integers don't have NaN.

--

Vik Fearing

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