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SIMD and SWAR Techniques

2,814 bytes added, 22:44, 17 May 2023
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SIMD Instruction Sets: fix in ref
[[x86]], [[x86-64]], as well as [[PowerPC#G4|PowerPC]] and [https://en.wikipedia.org/wiki/Power_Architecture#Power_ISA_v.2.03 Power ISA v.2.03] processors provide '''Single Instructions''' on '''Multiple Data''' (SIMD), namely on [[Array|vectors]] of [[Float|floats]], [[Double|doubles]] or various integers, [[Byte|bytes]], [[Word|words]], [[Double Word|double words]] or [[Quad Word|quad words]], available through assembly and compiler intrinsics. SIMD-applications related to computer chess cover [[Bitboards|bitboard]] computations and [[Fill Algorithms|fill-algorithms]] like [[Dumb7Fill]] and [[Kogge-Stone Algorithm]], as well as [[Evaluation|evaluation]] related stuff, like this [[SSE2#SSE2dotproduct|SSE2 dot-product]] of 64 bits by a vector of 64 bytes.
'''SWAR''' as acronym for SIMD Within A Register was coined by [[Hank Dietz]] and Randy '''Randell J. Fisher ''' <ref>[http://www.aggregate.org/SWAR/ The Aggregate: SWAR, SIMD Within A Register] by [[Hank Dietz]]</ref> . It is a processing model which applies SIMD parallel processing across sections of a CPU register, often vectors of smaller than byte-entities are processed in [[Parallel Prefix Algorithms|parallel prefix]] manner.
=SIMD Instruction Sets=
* [[SSE2]], [[SSE3]], [[SSSE3]] and [[SSE4]] on [[x86]] and [[x86-64]]
* [[SSE5]] by [[AMD]] (proposed but not implemented, replaced by [[XOP]] <ref>[https://en.wikipedia.org/wiki/SSE5 SSE5 from Wikipedia]</ref>)
* [[AltiVec]] on [[PowerPC#G4|PowerPC G4]], [[PowerPC#G5|PowerPC G5]] resp. VMX since [[POWER | POWER6]]* [https://en.wikipedia.org/wiki/AltiVec#VSX_(Vector_Scalar_Extension) VSX] since [[POWER | POWER7]]* [[Helium]] by [[ARM ]]* [[NEON]] by [[ARM]]* [[SVE]] <ref>[https://en.wikipedia.org/wiki/AArch64#Scalable_Vector_Extension_(SVE) SVE from Wikipedia]</ref> and [[SVE2]] <ref>[https://en.wikipedia.org/wiki/SVE SVE2 from Wikipedia]</ref> by [[ARM]]
* [[AVX]] by [[Intel]]
* [[AVX2]] by [[Intel]]
* [[AVX-512]] by [[Intel]]
* [[XOP]] by [[AMD]]
* [[VIS]] <ref>[https://en.wikipedia.org/wiki/Visual_Instruction_Set VIS from Wikipedia]</ref> since [[SPARC]] v9
* [[RISC-V]] vector-set extension <ref>[https://en.wikipedia.org/wiki/RISC-V#Vector_set RISC-V vector-set from Wikipedia]</ref>
<span id="SWAR"></span>
 
=SWAR Arithmetic=
To apply addition and subtraction on vectors of bit-aggregates or [https://en.wikipedia.org/wiki/Bit_field bit-field structures] within a general purpose register, one has to take care carries and borrows don't wrap around. Thus the need to mask of all most significant bits (H) and add in two steps, one 'add' with MSB clear and one add modulo 2 aka '[[General Setwise Operations#ExclusiveOr|xor]]' for the MSB itself. For bytewise (rankwise) math inside a 64-bit register, H is <span style="background-color: #e3e3e3;">0x8080808080808080</span> and L is <span style="background-color: #e3e3e3;">0x0101010101010101</span>.
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=See also=
* [[GPU]]
* [[NNUE]]
* [[Parallel Prefix Algorithms]]
 
=Publications=
==1987 ...==
* [[Alan H. Bond]] ('''1987'''). ''Broadcasting Arrays - A Highly Parallel Computer Architecture Suitable For Easy Fabrication''. [http://www.exso.com/bc.pdf pdf]
* [[Mathematician#GEBlelloch|Guy E. Blelloch]] ('''1990'''). ''[https://dl.acm.org/citation.cfm?id=91254 Vector Models for Data-Parallel Computing]''. [https://en.wikipedia.org/wiki/MIT_Press MIT Press], [https://www.cs.cmu.edu/~guyb/papers/Ble90.pdf pdf]
* [https://dblp.uni-trier.de/pers/f/Fisher:Randall_J=.html Randell J. Fisher], [[Hank Dietz]] ('''1998'''). ''[https://link.springer.com/chapter/10.1007/3-540-48319-5_19 Compiling for SIMD Within a Register]''. [https://dblp.uni-trier.de/db/conf/lcpc/lcpc1998.html LCPC 1998], [https://link.springer.com/chapter/10.1007/3-540-48319-5_19 pdf]
* [https://www.linkedin.com/in/tom-thompson-500bb7b Tom Thompson] ('''1999'''). ''[http://www.mactech.com/articles/mactech/Vol.15/15.07/AltiVecRevealed/index.html AltiVec Revealed]''. [http://www.mactech.com/ MacTech], Vol. 15, No. 7
==2000 ...==
* [https://dblp.uni-trier.de/pers/f/Fisher:Randall_J=.html Randell J. Fisher] ('''2003'''). ''[https://docs.lib.purdue.edu/dissertations/AAI3108343/ General-Purpose SIMD Within A Register: Parallel Processing on Consumer Microprocessors]''. Ph.D. thesis, [https://en.wikipedia.org/wiki/Purdue_University Purdue University], advisor [[Hank Dietz]], [http://aggregate.org/SWAR/Dis/dissertation.pdf pdf]
* [[Daisuke Takahashi]] ('''2007'''). ''[https://link.springer.com/chapter/10.1007/978-3-540-75755-9_135/ An Implementation of Parallel 1-D FFT Using SSE3 Instructions on Dual-Core Processors]''. Proc. Workshop on State-of-the-Art in Scientific and Parallel Computing, [https://en.wikipedia.org/wiki/Lecture_Notes_in_Computer_Science Lecture Notes in Computer Science], No. 4699, [https://en.wikipedia.org/wiki/Springer_Science%2BBusiness_Media Springer]
* [[Daisuke Takahashi]] ('''2008'''). ''Implementation and Evaluation of Parallel FFT Using SIMD Instructions on Multi-Core Processors''. Proc. 2007 International Workshop on Innovative Architecture for Future Generation High-Performance Processors and Systems
* [https://www.researchgate.net/profile/Nicolas_Fritz2 Nicolas Fritz] ('''2009'''). ''SIMD Code Generation in Data-Parallel Programming''. Ph.D. thesis, [https://en.wikipedia.org/wiki/Saarland_University Saarland University], [http://scidok.sulb.uni-saarland.de/volltexte/2009/2563/pdf/Dissertation_9229_Frit_Nico_2009.pdf?q=ibms-cell-processor pdf]
==2010 ...==
* [https://www.rrze.fau.de/wir-ueber-uns/organigramm/mitarbeiter/index.shtml/georg-hager.shtml Georg Hager] <ref>[https://blogs.fau.de/hager/ Georg Hager's Blog | Random thoughts on High Performance Computing]</ref>, [http://dblp.uni-trier.de/pers/hd/t/Treibig:Jan Jan Treibig], [http://dblp.uni-trier.de/pers/hd/w/Wellein:Gerhard Gerhard Wellein] ('''2013'''). ''The Practitioner's Cookbook for Good Parallel Performance on Multi- and Many-Core Systems''. [https://de.wikipedia.org/wiki/Regionales_Rechenzentrum_Erlangen RRZE], [http://sc13.supercomputing.org/ SC13], [https://blogs.fau.de/hager/files/2013/11/sc13_tutorial_134.pdf slides as pdf]
* [https://scholar.google.com/citations?user=4Ab_NBkAAAAJ&hl=en Kaixi Hou], [[Hao Wang]], [http://dblp.uni-trier.de/pers/hd/f/Feng:Wu=chun Wu-chun Feng] ('''2015'''). ''ASPaS: A Framework for Automatic SIMDIZation of Parallel Sorting on x86-based Many-core Processors''. [http://dblp.uni-trier.de/db/conf/ics/ics2015.html#HouWF15 ICS2015],
=Forum Posts=
==1999==* [https://www.stmintz.com/ccc/index.php?id=71754 G4 & AltiVec] by [[Will Singleton]], [[CCC]], October 04, 1999» [[AltiVec]], [[PowerPC #G4|PowerPC G4]]==2000 ...==
* [http://www.talkchess.com/forum/viewtopic.php?t=23860 Superlinear interpolator: a nice novelity ?] by [[Marco Costalba]], [[CCC]], September 20, 2008 » [[Tapered Eval]]
* [http://www.talkchess.com/forum/viewtopic.php?p=301746#301746 Re: talk about IPP's evaluation] by [[Richard Vida]], [[CCC]], November 07, 2009 » [[Ippolit]], [[Tapered Eval]]
==2010 ...==
* [http://www.talkchess.com/forum/viewtopic.php?t=38523 My experience with Linux/GCC] by [[Richard Vida]], [[CCC]], March 23, 2011 » [[C]], [[Linux]], [[Tapered Eval]]
* [http://www.talkchess.com/forum/viewtopic.php?t=39916&start=1 Re: Utilizing Architecture Specific Functions from a HL Language] by [[Wylie Garvin]], [[CCC]], July 31, 2011
* [http://www.talkchess.com/forum/viewtopic.php?t=42054 two values in one integer] by [[Pierre Bokma]], [[CCC]], January 18, 2012
* [http://www.talkchess.com/forum/viewtopic.php?t=59820 Pigeon now using opportunistic SIMD] by [[Stuart Riffle]], [[CCC]], April 11, 2016 » [[Pigeon]]
* [http://www.talkchess.com/forum/viewtopic.php?t=61850 couple of questions about stockfish code ?] by [[Mahmoud Uthman]], [[CCC]], October 26, 2016 » [[Stockfish]], [[Tapered Eval]]
==2020 ...==
* [http://www.talkchess.com/forum3/viewtopic.php?f=7&t=73126 SIMD methods in TT probing and replacement] by [[Harm Geert Muller]], [[CCC]], February 20, 2020 » [[Transposition Table]]
* [http://www.talkchess.com/forum3/viewtopic.php?f=2&t=75862 CPU Vector Unit, the new jam for NNs...] by [[Srdja Matovic]], [[CCC]], November 18, 2020 » [[NNUE]]
=External Links=
* [https://en.wikipedia.org/wiki/SWAR SWAR from Wikipedia]
* [http://www.aggregate.org/SWAR/ The Aggregate: SWAR, SIMD Within A Register] by [[Hank Dietz]]
* ==[[http://andythomason.com/lecture_notes/agp/agp_simd_programming.html Advanced game programing | Session 4 - Math libraries and SIMDx86]] from [http://andythomason.com/lecture_notes/ Game programming lecture notes] by [[Andy Thomasonx86-64]]==x86==
* [https://en.wikipedia.org/wiki/MMX_%28instruction_set%29 MMX from Wikipedia]
* [https://en.wikipedia.org/wiki/3DNow 3DNow! from Wikipedia]
* [https://en.wikipedia.org/wiki/SSSE3 SSSE3 from Wikipedia]
* [https://en.wikipedia.org/wiki/SSE4 SSE4 from Wikipedia]
* [httphttps://de.wikipedia.org/wiki/SSE4a SSE4a from Wikipedia.de]
* [https://en.wikipedia.org/wiki/SSE5 SSE5 from Wikipedia]
* [https://en.wikipedia.org/wiki/XOP_instruction_set XOP instruction set from Wikipedia]
* [http://developer.amd.com/cpu/Libraries/sseplus/Pages/default.aspx SSEPlus Project] from [http://developer.amd.com/pages/default.aspx AMD Developer Central]
* [http://sseplus.sourceforge.net/index.html SSEPlus Project Documentation]
==Other SIMD== * [httphttps://wwwdeveloper.arm.com/productsarchitectures/multimediainstruction-sets/simd-isas/neon/index.html ARM NEON TechnologySIMD ISAs | Neon – Arm Developer]
* [https://en.wikipedia.org/wiki/ARM_architecture#Advanced_SIMD_.28NEON.29 ARM NEON Technology from Wikipedia]
* [https://developer.arm.com/architectures/instruction-sets/simd-isas/helium SIMD ISAs | Arm Helium technology – Arm Developer]
* [https://en.wikipedia.org/wiki/AltiVec AltiVec from Wikipedia]
* [http://developer.apple.com/hardwaredrivers/ve/sse.html Hardware - SSE Performance Programming] from [http://developer.apple.com/index.html Apple Developer]
* [http://developer.apple.com/hardwaredrivers/ve/instruction_crossref.html Apple Instruction Cross-Reference] from [http://developer.apple.com/index.html Apple Developer]
==Misc==
* [https://en.wikipedia.org/wiki/Explicitly_parallel_instruction_computing Explicitly parallel instruction computing (EPIC) from Wikipedia]
=References=
<references />
 
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