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{{wikibooks|X86 Assembly/AVX, AVX2, FMA3, FMA4}}
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The '''FMA instruction set''' is the name of an extension to the 128 and 256-bit [[Streaming SIMD Extensions|SIMD]] instructions in the [[x86]] [[microprocessor]] [[instruction set]] to perform [[fused multiply–add]] (FMA) operations.<ref name=prime95>"FMA3 and FMA4 are not instruction sets, they are individual instructions -- fused multiply add. They could be quite useful depending on how Intel and AMD implement them" {{cite web|last=Woltmann|first=George (Prime95)|title=Intel AVX and GIMPS|url=http://www.mersenneforum.org/showthread.php?t=14335&highlight=fused+multiply+add|work=http://www.mersenneforum.org/index.php|publisher=Great Internet Mersenne Prime Search (GIMPS) project|accessdate=27 July 2011}}</ref>  Two different variants of FMA instruction sets are used:
* '''FMA4''' is supported in [[Advanced Micro Devices|AMD]] processors starting with [[Bulldozer (microarchitecture)|Bulldozer]] architecture. FMA4 was realized in hardware before FMA3.
* '''FMA3''' is supported in AMD processors starting with [[Piledriver (microarchitecture)|Piledriver]] architecture and [[Intel Corporation|Intel]] starting with [[Haswell (microarchitecture)|Haswell processors]] and will be supported by [[Broadwell (microarchitecture)|Broadwell processors]] in 2014.
 
==New instructions==
The FMA3 and FMA4 instruction sets have almost identical functionality but are not mutually compatible. Both contain [[fused multiply–add]] (FMA) instructions for [[floating point]] scalar and [[SIMD]] operations. It will take some time for the compiler creators to support the differences and to optimize code accordingly.
 
==Compatibility issue==
The difference between FMA3 and FMA4 concerns the issue of whether the instruction can have three or four different operands. The FMA operation has the form:
 
<math>d=a+b\times c</math>
 
The 4-operand form (FMA4) allows a, b, c and d to be four different registers, while the 3-operand form (FMA3) requires that d is the same register as either a, b or c. The 3-operand form makes the code shorter and the hardware implementation slightly simpler while the 4-operand form provides more programming flexibility.
 
See [[XOP instruction set#Compatibility issues|XOP instruction set]] for more discussion of compatibility issues between Intel and AMD.
 
==FMA3 instruction set==
 
===CPUs with FMA3===
* Intel
** Intel introduced hardware FMA in processors based on [[Haswell (microarchitecture)]] during 2013.
* AMD
** AMD introduced FMA3 support in processors starting with [[Piledriver (microarchitecture)|Piledriver]] architecture for compatibility reasons.<ref>{{cite web | url=http://developer.amd.com/2009/05/06/striking-a-balance | title=Striking a balance | date=May 7, 2009 | publisher=Dave Christie, AMD Developer blogs | accessdate=2009-05-08}}</ref><ref>{{cite web|last=Maffeo|first=Robin|title=AMD and the Visual Studio 11 Beta|url=http://developer.amd.com/2012/03/01/amd-and-the-visual-studio-11-beta/|publisher=AMD|accessdate=19 April 2012}}</ref> The 2nd generation APU processors based on [[List of AMD Fusion microprocessors#.22Trinity.22 .2832nm.29|"Trinity" (32nm)]] supporting FMA3 instructions were launched May 15, 2012. The 2nd generation Bulldozer processors with [[Piledriver (microarchitecture)#FX-series and Opteron|Piledriver cores]] supporting FMA3 instructions were launched October 23, 2012.
 
===Excerpt from FMA3===
{| class="wikitable"
|-
! Mnemonic (AT&T)
! Operands
! Operation
|-
|VFMADD132PDy
|rowspan=2|ymm, ymm, ymm/m256
|rowspan=6|$0 = $0×$2 + $1
|-
|VFMADD132PSy
|-
|VFMADD132PDx
|rowspan=2|xmm, xmm, xmm/m128
|-
|VFMADD132PSx
|-
|VFMADD132SD
|xmm, xmm, xmm/m64
|-
|VFMADD132SS
|xmm, xmm, xmm/m32
|-
|VFMADD213PDy
|rowspan=2|ymm, ymm, ymm/m256
|rowspan=6|$0 = $1×$0 + $2
|-
|VFMADD213PSy
|-
|VFMADD213PDx
|rowspan=2|xmm, xmm, xmm/m128
|-
|VFMADD213PSx
|-
|VFMADD213SD
|xmm, xmm, xmm/m64
|-
|VFMADD213SS
|xmm, xmm, xmm/m32
|-
|VFMADD231PDy
|rowspan=2|ymm, ymm, ymm/m256
|rowspan=6|$0 = $1×$2 + $0
|-
|VFMADD231PSy
|-
|VFMADD231PDx
|rowspan=2|xmm, xmm, xmm/m128
|-
|VFMADD231PSx
|-
|VFMADD231SD
|xmm, xmm, xmm/m64
|-
|VFMADD231SS
|xmm, xmm, xmm/m32
|}
 
==FMA4 instruction set==
 
===CPUs with FMA4===
* AMD
** [[Bulldozer (processor)|Bulldozer]] processor core, launched October 12, 2011.<ref>{{cite web | url=http://support.amd.com/us/Processor_TechDocs/43479.pdf | title=AMD64 Architecture Programmer’s Manual Volume 6: 128-Bit and 256-Bit XOP, FMA4 and CVT16 Instructions | date=May 1, 2009 | publisher=[[AMD]]}}</ref>
** [[Piledriver (microarchitecture)|Piledriver]] <ref>{{cite web | url=http://developer.amd.com/wordpress/media/2012/10/New-Bulldozer-and-Piledriver-Instructions.pdf | title=New "Bulldozer" and "Piledriver" Instructions A step forward for high performance software development | date=October 2012 | publisher=[[AMD]]}}</ref>
* Intel
** It is uncertain whether future Intel processors will support FMA4, due to Intel's announced change to FMA3.
 
===Excerpt from FMA4===
{| class="wikitable"
|-
! Mnemonic (AT&T)
! Operands
! Operation
|-
|VFMADDPDx
|xmm, xmm, xmm/m128, xmm/m128
| rowspan=6 | $0 = $1×$2 + $3
|-
|VFMADDPDy
|ymm, ymm, ymm/m256, ymm/m256
|-
|VFMADDPSx
|xmm, xmm, xmm/m128, xmm/m128
|-
|VFMADDPSy
|ymm, ymm, ymm/m256, ymm/m256
|-
|VFMADDSD
|xmm, xmm, xmm/m64, xmm/m64
|-
|VFMADDSS
|xmm, xmm, xmm/m32, xmm/m32
|}
 
==History==
The incompatibility between Intel's FMA3 and AMD's FMA4 is due to both companies changing plans without coordinating coding details with each other. AMD changed their plans from FMA3 to FMA4 while Intel changed their plans from FMA4 to FMA3 almost at the same time. The history can be summarized as follows:
* August 2007: [[AMD]] announces the [[SSE5]] instruction set, which includes 3-operand FMA instructions. A new coding scheme (DREX) is introduced for allowing instructions to have three operands.<ref>{{cite web | url=http://developer.amd.com/SSE5 | title=128-Bit SSE5 Instruction Set | publisher=[[Advanced Micro Devices|AMD]] Developer Central | accessdate=2008-01-28 |archiveurl = http://web.archive.org/web/20080115163416/http://developer.amd.com/SSE5 <!-- Bot retrieved archive --> |archivedate = 2008-01-15}}</ref>
* April 2008: [[Intel]] announces their [[Advanced Vector Extensions|AVX]] and FMA instruction sets, including 4-operand FMA instructions. The coding of these instructions uses the new [[VEX prefix|VEX]] coding scheme which is more flexible than AMD's DREX scheme. (Section requires an actual source, Intel sources are not acceptable for debatable specifics.)<ref>{{cite web | url=http://softwarecommunity.intel.com/isn/downloads/intelavx/Intel-AVX-Programming-Reference-31943302.pdf | title=Intel Advanced Vector Extensions Programming Reference | publisher=[[Intel]] | accessdate=2008-04-05}}</ref>
* December 2008: Intel changes the specification for their FMA instructions from 4-operand to 3-operand instructions. The VEX coding scheme is still used.<ref>{{cite web | url=http://software.intel.com/en-us/avx/ | title=Intel Advanced Vector Extensions Programming Reference | publisher=[[Intel]] | accessdate=2009-05-06}}</ref>
* May 2009: AMD changes the specification of their FMA instructions from the 3-operand DREX form to the 4-operand VEX form, compatible with the April 2008 Intel specification rather than the December 2008 Intel specification.<ref>{{cite web | url=http://forums.amd.com/devblog/blogpost.cfm?threadid=112934&catid=208 | title=Striking a balance | date=May 7, 2009 | publisher=Dave Christie, AMD Developer blogs | accessdate=2009-05-08}}</ref>
* October 2011: AMD [[Amd bulldozer|Bulldozer]] processor supports FMA4.<ref name="developer.amd.com">{{cite web|title=New Bulldozer and Piledriver Instructions |url=http://developer.amd.com/wordpress/media/2012/10/New-Bulldozer-and-Piledriver-Instructions.pdf|publisher=AMD|accessdate=25 July 2013}}</ref>
* January 2012: AMD announces FMA3 support in future processors codenamed [[AMD Fusion#Future platforms|Trinity]] and [[AMD Bulldozer#Post-2011|Vishera]]; they are based on the Piledriver architecture.<ref>{{cite web|title=Software Optimization Guide for AMD Family 15h Processors|url=http://support.amd.com/us/Processor_TechDocs/47414_15h_sw_opt_guide.pdf|publisher=AMD|accessdate=19 April 2012}}</ref>
* May 2012: AMD [[Piledriver (microarchitecture)|Piledriver]] processor supports both FMA3 and FMA4.<ref name="developer.amd.com"/>
* June 2013: Intel [[Haswell (microarchitecture)|Haswell]] processor supports FMA3.<ref>{{cite web|title=Intel Architecture Instruction Set Extensions Programming Reference|url=http://software.intel.com/sites/default/files/319433-015.pdf|publisher=Intel|accessdate=25 July 2013}}</ref>
 
It is currently uncertain whether the 3-operand VEX coded form (here called FMA3) or the 4-operand form (FMA4) will be the dominating standard in the future.
 
==Compiler and assembler support==
Different compilers provide different levels of support for FMA4:
* [[GNU Compiler Collection|GCC]] supports FMA4 with -mfma4 since version 4.5.0<ref name="theinquirer">{{cite web|url=http://www.theinquirer.net/inquirer/news/2124866/amd-bulldozer-fma4-xop-instructions-supported-gcc| title=AMD Bulldozer only FMA4 and XOP instructions are supported by GCC Intel still mute|work=The Inquirer|first=Lawrence |last=Latif|date=Nov 14, 2011|year=2011}}</ref> and FMA3 with -mfma since version 4.7.0.
* [[Visual C++|Microsoft Visual C++]] 2010 SP1 supports FMA4 instructions.<ref name="msdn">{{cite web|url=http://msdn.microsoft.com/en-us/library/vstudio/gg445134(v=vs.100).aspx|title=FMA4 Intrinsics Added for Visual Studio 2010 SP1}}</ref>
* [[Visual C++|Microsoft Visual C++]] 2012 supports FMA3 instructions.
* [[PathScale]] supports FMA4 with -mfma.<ref name="pathscale">{{cite web|url=http://www.pathscale.com/node/272|title=EKOPath man doc}}</ref>
* [[Open64]] 5.0 adds "limited support".
* [[Intel Fortran Compiler|Intel compilers]] support only FMA3 instructions.<ref name="theinquirer" />
* [[Netwide Assembler|NASM]] supports FMA3 instructions since version 2.03 and FMA4 instructions since 2.06.
* [[YAsm]] supports FMA3 and FMA4 instructions since version 1.1.0.
* [[FASM]] supports both FMA3 and FMA4 instructions.
 
==References==
{{Reflist|2}}
 
{{Multimedia extensions}}
 
{{DEFAULTSORT:Fma Instruction Set}}
[[Category:X86 architecture]]
[[Category:X86 instructions]]
[[Category:SIMD computing]]

Revision as of 20:39, 21 February 2014

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