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Date: Mon, 9 Mar 2015 13:36:30 +0300
From: Solar Designer <solar@...nwall.com>
To: john-dev@...ts.openwall.com
Subject: Re: 256/128 bit integer arithmatic

> On 2015-03-08 16:26, Sayantan Datta wrote:
> > Is there any way to natively perform 128 bit or 256 bit integer arithmetic,
> > such as add, divide, subtract ?

Mostly no.  Except for 64x64->128 multiply and 128/64->64 divide,
there's no native 128-bit integer support on x86-64.

> > Maybe with AVX/SSE registers and using them without SIMD?

No.

On Sun, Mar 08, 2015 at 08:37:57PM +0100, magnum wrote:
> gcc provides int128 for 64-bit builds (but not for 32-bit builds). Look
> at our mpz_int128.h which mimics GMP but actually uses saturated 128-bit
> integer (the latter is a lot faster - but GMP can go way beyond 128 bits).

I also used __uint128_t here:

http://openwall.info/wiki/john/policy

> They are emulated though, probably similar to using hi/lo 64-bit structs.
> 
> One caveat is you can't have constants larger than 64-bit. So to load a
> 128-bit constant you'd need to do something like this
> 
> uint128_t foo = 0xabcd0123deadcafeULL << 64 + 0xdeadcafeabcd0123ULL

"Something like", yes, but this specific example has two bugs: need
braces, and need a typecast to uint128_t since otherwise the left shift
would be performed on the 64-bit value and would result in zero.

__uint128_t foo = ((__uint128_t)0xabcd0123deadcafeULL << 64) + 0xdeadcafeabcd0123ULL;

Alexander

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