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Subject: Re: BitScan with reset - not so impressive with 3DNow!

Author: Gerd Isenberg

Date: 16:43:15 12/02/02

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On December 02, 2002 at 18:49:10, Walter Faxon wrote:

>On December 02, 2002 at 16:48:52, Gerd Isenberg wrote:
>
>>May be i found not the best way to to b&(-b) with mmx, but building the 64-bit
>>two's complement with mmx-dword is not so nice. First you have to do the one's
>>complement by pxor -1, then comparing low dword with -1 and building an
>>conditional overflow, adding 00:01 or 01:01...
>>So using 32-bit registers was the fastest so far, but that may require some
>>additional push/pop.
>>
>>Some times mesured in seconds with this dumb loop (nothing inlined):
>>K7XP2.1+ ~1.8GHz
>>

Congrats, Walter!!

10-bit pattern		bsf	PI2FD	btr	c      LSB_64
0x0000000011111133	15.3	18.0	19.1	22.8    17.8
0x1010111010101110	19.7	18.5	19.6	23.4    17.8
0x1111113300000000	20.6	18.0	19.1	22.8    17.8

>>
>>inlined are ~5 seconds faster
>Hi, Gerd.
>
>As long as you're test-comparing bit-search-and-reset codes, I wonder if you
>could please consider also comparing my C code version, posted on CCC with the
>subject "Another hacky method for bitboard bit extraction" on November 17.  I
>repeat it below.  You can of course make those changes required for proper
>compilation and comparison in your setup.  Thanks!
>
>-- Walter
>
>Code follows:
>// ---------------------------------------------------------------------------
>
>typedef unsigned long long  u64;    // nonstandard
>typedef unsigned long       u32;
>typedef unsigned char       u8;
>
>extern const u8 LSB_64_table[154];              // bit number table
>#define LSB_64_adj  -51                         // offset to table base
>#define LSB_64_magic  ( (u32)0x01C5FC81 )       // magic constant
>
>// ---------------------------------------------------------------------------
>// LSB_64() -- find, remove, report least-significant bit of 64.
>// Argument 'bb' must be non-null.  Method:  fold then table lookup.
>// Written by Walter Faxon, June 2002.  No copyright.  No warranty.
>//
>inline                  // inline declaration may differ by compiler
>u8 LSB_64( u64* bb )
>    {
>    u64 t64;
>    u32 t32;
>    t64 = *bb - 1;
>    *bb &= t64;         // omit this line to retain current LSB
>    t64 ^= *bb;
>    t32 = (u32)t64 ^ (u32)(t64 >> 32);
>    t32 ^= LSB_64_magic;
>    t32 += t32 >> 16;
>    t32 -= t32 >> 8;
>    return LSB_64_table [LSB_64_adj + (u8)t32];
>    }
>
>// ---------------------------------------------------------------------------
>// Table reports number of low-order bit as 0, high-order as 63.
>// (Numbering can be reversed by changing this table.)
>// Important:  arrange storage so that this table is kept in the cache.
>const u8 LSB_64_table[154] =
>    {
>#define __  0
>    23,__,__,__,31,__,__,39,19,__, 17,16,18,__,47,10,20, 9, 8,11,
>     1, 0, 2,57,56,58, 3,12,__,59, __,__,21,__, 4,__,__,60,__,__,
>    __,__,__,13,__,__,__,__,__,__,  5,__,__,61,__,__,__,__,__,__,
>    __,__,__,__,22,__,__,__,30,__, __,38,__,__,__,14,__,__,46,__,
>    __,__, 6,__,__,62,__,__,__,54, __,__,__,__,__,__,__,__,__,__,
>    29,__,__,37,__,__,__,__,__,__, 45,__,__,__,__,__,28,__,__,36,
>    __,53,__,__,27,__,44,35,26,24, 25,34,32,33,43,40,41,52,42,15,
>    __,50,48,49,__,51, 7,__,__,63, __,__,__,55
>#undef __
>    };
>
>//eof
>
>P.S.  You can even avoid the table lookup if you're willing to deal with
>scrambled square indecies in the range 0 to 153.
>
>P.P.S.  I feel a little like the unlucky scientist whose results were lost
>because they were only published _four_ times... :)

Geniously, sorry Walter, that i overlooked your approach. It is clearly the
fastest of these routines. De Bruijn Sequence? May have a close look to the
constant.

I'm really impressed.

Regards,
Gerd










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