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From: Chung-Lin Tang <cltang@codesourcery.com>
To: Richard Henderson <rth@redhat.com>
Cc: gcc-patches <gcc-patches@gcc.gnu.org>
Subject: Re: [patch][4.7] Enhance XOR handling in simplify-rtx.c
Date: Thu, 17 Mar 2011 01:55:00 -0000	[thread overview]
Message-ID: <4D816A07.1000000@codesourcery.com> (raw)
In-Reply-To: <4D80FFB3.5010806@redhat.com>

On 2011/3/17 03:21 AM, Richard Henderson wrote:
> On 03/11/2011 06:14 AM, Chung-Lin Tang wrote:
>> +      /* Given (xor (and A B) C), using P^Q == ~PQ | ~QP (concat as AND),
>> +	 we can transform (AB)^C into:
>> +                              A(~CB) | ~AC | ~BC    
>> +	 Attempt a few simplifications when B and C are both constants.  */
> 
> I don't quite follow the step that gets you to that final form.
> 
> 	P^Q == ~PQ | ~QP
> 
> 	AB ^ C
> 	== ~(AB)C | (~C)AB
> 	== (~A)(~B)C | (~C)AB
> 	== ?

You have to use DeMorgan's Law to distribute the ~ operator:

~(AB)C | (~C)AB
== (~A | ~B)C | A(~CB)    // DeMorgan's Law
== ~AC | ~BC  | A(~CB)    // Distribute C over the |

  reply	other threads:[~2011-03-17  1:55 UTC|newest]

Thread overview: 6+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2011-03-11 14:14 Chung-Lin Tang
2011-03-12  8:49 ` Chung-Lin Tang
2011-03-16 18:21 ` Richard Henderson
2011-03-17  1:55   ` Chung-Lin Tang [this message]
2011-03-17 15:18     ` Richard Henderson
2011-03-21  7:38       ` Chung-Lin Tang

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