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Advanced Vector Extensions

From Wikipedia, the free encyclopedia
Wikibooks has a book on the topic of:X86 Assembly/AVX, AVX2, FMA3, FMA4
Instructions for the x86 microprocessors

Advanced Vector Extensions (AVX, also known asGesher New Instructions and thenSandy Bridge New Instructions) areSIMD extensions to thex86instruction set architecture formicroprocessors fromIntel andAdvanced Micro Devices (AMD). They were proposed by Intel in March 2008 and first supported by Intel with theSandy Bridge[1] microarchitecture shipping in Q1 2011 and later by AMD with theBulldozer[2] microarchitecture shipping in Q4 2011. AVX provides new features, new instructions, and a new coding scheme.

AVX2 (also known asHaswell New Instructions) expands most integer commands to 256 bits and introduces new instructions. They were first supported by Intel with theHaswell microarchitecture, which shipped in 2013.

AVX-512 expands AVX to 512-bit support using a newEVEX prefix encoding proposed by Intel in July 2013 and first supported by Intel with theKnights Landing co-processor, which shipped in 2016.[3][4] In conventional processors, AVX-512 was introduced withSkylake server and HEDT processors in 2017.

Advanced Vector Extensions

[edit]

AVX uses sixteen YMM registers to perform a single instruction on multiple pieces of data (seeSIMD). Each YMM register can hold and do simultaneous operations (math) on:

  • eight 32-bit single-precision floating-point numbers or
  • four 64-bit double-precision floating-point numbers.

The width of the SIMD registers is increased from 128 bits to 256 bits, and renamed from XMM0–XMM7 to YMM0–YMM7 (inx86-64 mode, from XMM0–XMM15 to YMM0–YMM15). The legacySSE instructions can still be utilized via theVEX prefix to operate on the lower 128 bits of the YMM registers.

AVX-512 register scheme as extension from the AVX (YMM0-YMM15) and SSE (XMM0-XMM15) registers
5112562551281270
  ZMM0    YMM0    XMM0  
ZMM1YMM1XMM1
ZMM2YMM2XMM2
ZMM3YMM3XMM3
ZMM4YMM4XMM4
ZMM5YMM5XMM5
ZMM6YMM6XMM6
ZMM7YMM7XMM7
ZMM8YMM8XMM8
ZMM9YMM9XMM9
ZMM10YMM10XMM10
ZMM11YMM11XMM11
ZMM12YMM12XMM12
ZMM13YMM13XMM13
ZMM14YMM14XMM14
ZMM15YMM15XMM15
ZMM16YMM16XMM16
ZMM17YMM17XMM17
ZMM18YMM18XMM18
ZMM19YMM19XMM19
ZMM20YMM20XMM20
ZMM21YMM21XMM21
ZMM22YMM22XMM22
ZMM23YMM23XMM23
ZMM24YMM24XMM24
ZMM25YMM25XMM25
ZMM26YMM26XMM26
ZMM27YMM27XMM27
ZMM28YMM28XMM28
ZMM29YMM29XMM29
ZMM30YMM30XMM30
ZMM31YMM31XMM31

AVX introduces a three-operand SIMD instruction format calledVEX coding scheme, where the destination register is distinct from the two source operands. For example, anSSE instruction using the conventional two-operand formaa +b can now use a non-destructive three-operand formca +b, preserving both source operands. Originally, AVX's three-operand format was limited to the instructions with SIMD operands (YMM), and did not include instructions with general purpose registers (e.g. EAX). It was later used for coding new instructions on general purpose registers in later extensions, such asBMI. VEX coding is also used for instructions operating on the k0-k7 mask registers that were introduced withAVX-512.

Thealignment requirement of SIMD memory operands is relaxed.[5] Unlike their non-VEX coded counterparts, most VEX coded vector instructions no longer require their memory operands to be aligned to the vector size. Notably, theVMOVDQA instruction still requires its memory operand to be aligned.

The newVEX coding scheme introduces a new set of code prefixes that extends theopcode space, allows instructions to have more than two operands, and allows SIMD vector registers to be longer than 128 bits. The VEX prefix can also be used on the legacy SSE instructions giving them a three-operand form, and making them interact more efficiently with AVX instructions without the need forVZEROUPPER andVZEROALL.

The AVX instructions support both 128-bit and 256-bit SIMD. The 128-bit versions can be useful to improve old code without needing to widen the vectorization, and avoid the penalty of going from SSE to AVX, they are also faster on some early AMD implementations of AVX. This mode is sometimes known as AVX-128.[6]

New instructions

[edit]

These AVX instructions are in addition to the ones that are 256-bit extensions of the legacy 128-bit SSE instructions; most are usable on both 128-bit and 256-bit operands.

InstructionDescription
VBROADCASTSS,VBROADCASTSD,VBROADCASTF128Copy a 32-bit, 64-bit or 128-bit memory operand to all elements of a XMM or YMM vector register.
VINSERTF128Replaces either the lower half or the upper half of a 256-bit YMM register with the value of a 128-bit source operand. The other half of the destination is unchanged.
VEXTRACTF128Extracts either the lower half or the upper half of a 256-bit YMM register and copies the value to a 128-bit destination operand.
VMASKMOVPS,VMASKMOVPDConditionally reads any number of elements from a SIMD vector memory operand into a destination register, leaving the remaining vector elements unread and setting the corresponding elements in the destination register to zero. Alternatively, conditionally writes any number of elements from a SIMD vector register operand to a vector memory operand, leaving the remaining elements of the memory operand unchanged. On the AMD Jaguar processor architecture, this instruction with a memory source operand takes more than 300 clock cycles when the mask is zero, in which case the instruction should do nothing. This appears to be a design flaw.[7]
VPERMILPS,VPERMILPDPermute In-Lane. Shuffle the 32-bit or 64-bit vector elements of one input operand. These are in-lane 256-bit instructions, meaning that they operate on all 256 bits with two separate 128-bit shuffles, so they can not shuffle across the 128-bit lanes.[8]
VPERM2F128Shuffle the four 128-bit vector elements of two 256-bit source operands into a 256-bit destination operand, with an immediate constant as selector.
VTESTPS,VTESTPDPacked bit test of the packed single-precision or double-precision floating-point sign bits, setting or clearing the ZF flag based on AND and CF flag based on ANDN.
VZEROALLSet all YMM registers to zero and tag them as unused. Used when switching between 128-bit use and 256-bit use.
VZEROUPPERSet the upper half of all YMM registers to zero. Used when switching between 128-bit use and 256-bit use.

CPUs with AVX

[edit]

Issues regarding compatibility between future Intel and AMD processors are discussed underXOP instruction set.

  • VIA:
    • Nano QuadCore
    • Eden X4
  • Zhaoxin:
    • WuDaoKou-based processors (KX-5000 and KH-20000)

Compiler and assembler support

[edit]
  • Absoft supports with -mavx flag.
  • TheFree Pascal compiler supports AVX and AVX2 with the -CfAVX and -CfAVX2 switches from version 2.7.1.
  • RAD studio (v11.0 Alexandria) supports AVX2 and AVX512.[12]
  • TheGNU Assembler (GAS) inline assembly functions support these instructions (accessible via GCC), as do Intel primitives and the Intel inline assembler (closely compatible to GAS, although more general in its handling of local references within inline code). GAS supports AVX starting with binutils version 2.19.[13]
  • GCC starting with version 4.6 (although there was a 4.3 branch with certain support) and the Intel Compiler Suite starting with version 11.1 support AVX.
  • TheOpen64 compiler version 4.5.1 supports AVX with -mavx flag.
  • PathScale supports via the -mavx flag.
  • TheVector Pascal compiler supports AVX via the -cpuAVX32 flag.
  • TheVisual Studio 2010/2012 compiler supports AVX via intrinsic and /arch:AVX switch.
  • NASM starting with version 2.03 and newer. There were numerous bug fixes and updates related to AVX in version 2.04.[14]
  • Other assemblers such asMASM VS2010 version,YASM,[15]FASM andJWASM.

Operating system support

[edit]

AVX adds new register-state through the 256-bit wide YMM register file, so explicitoperating system support is required to properly save and restore AVX's expanded registers betweencontext switches. The following operating system versions support AVX:

Advanced Vector Extensions 2

[edit]

Advanced Vector Extensions 2 (AVX2), also known asHaswell New Instructions,[24] is an expansion of the AVX instruction set introduced in Intel'sHaswell microarchitecture. AVX2 makes the following additions:

  • expansion of most vector integer SSE and AVX instructions to 256 bits
  • Gather support, enabling vector elements to be loaded from non-contiguous memory locations
  • DWORD- and QWORD-granularity any-to-any permutes
  • vector shifts.

Sometimes three-operandfused multiply-accumulate (FMA3) extension is considered part of AVX2, as it was introduced by Intel in the same processor microarchitecture. This is a separate extension using its ownCPUID flag and is described onits own page and not below.

New instructions

[edit]
InstructionDescription
VBROADCASTSS,VBROADCASTSDCopy a 32-bit or 64-bit register operand to all elements of a XMM or YMM vector register. These are register versions of the same instructions in AVX1. There is no 128-bit version, but the same effect can be simply achieved using VINSERTF128.
VPBROADCASTB,VPBROADCASTW,VPBROADCASTD,VPBROADCASTQCopy an 8, 16, 32 or 64-bit integer register or memory operand to all elements of a XMM or YMM vector register.
VBROADCASTI128Copy a 128-bit memory operand to all elements of a YMM vector register.
VINSERTI128Replaces either the lower half or the upper half of a 256-bit YMM register with the value of a 128-bit source operand. The other half of the destination is unchanged.
VEXTRACTI128Extracts either the lower half or the upper half of a 256-bit YMM register and copies the value to a 128-bit destination operand.
VGATHERDPD,VGATHERQPD,VGATHERDPS,VGATHERQPSGathers single- or double-precision floating-point values using either 32- or 64-bit indices and scale.
VPGATHERDD,VPGATHERDQ,VPGATHERQD,VPGATHERQQGathers 32 or 64-bit integer values using either 32- or 64-bit indices and scale.
VPMASKMOVD,VPMASKMOVQConditionally reads any number of elements from a SIMD vector memory operand into a destination register, leaving the remaining vector elements unread and setting the corresponding elements in the destination register to zero. Alternatively, conditionally writes any number of elements from a SIMD vector register operand to a vector memory operand, leaving the remaining elements of the memory operand unchanged.
VPERMPS,VPERMDShuffle the eight 32-bit vector elements of one 256-bit source operand into a 256-bit destination operand, with a register or memory operand as selector.
VPERMPD,VPERMQShuffle the four 64-bit vector elements of one 256-bit source operand into a 256-bit destination operand, with a register or memory operand as selector.
VPERM2I128Shuffle (two of) the four 128-bit vector elements oftwo 256-bit source operands into a 256-bit destination operand, with an immediate constant as selector.
VPBLENDDDoubleword immediate version of the PBLEND instructions fromSSE4.
VPSLLVD,VPSLLVQShift left logical. Allows variable shifts where each element is shifted according to the packed input.
VPSRLVD,VPSRLVQShift right logical. Allows variable shifts where each element is shifted according to the packed input.
VPSRAVDShift right arithmetically. Allows variable shifts where each element is shifted according to the packed input.

CPUs with AVX2

[edit]
  • Intel
    • Haswell processors (Q2 2013) and newer, except models branded as Celeron and Pentium.
    • Celeron and Pentium branded processors starting withTiger Lake (Q3 2020) and newer.[10]
  • AMD
  • VIA:
    • Nano QuadCore
    • Eden X4

AVX-512

[edit]
Main article:AVX-512

AVX-512 are 512-bit extensions to the 256-bit Advanced Vector Extensions SIMD instructions for x86 instruction set architecture proposed byIntel in July 2013.[3]

AVX-512 instructions are encoded with the newEVEX prefix. It allows 4 operands, 8 new 64-bitopmask registers, scalar memory mode with automatic broadcast, explicit rounding control, and compressed displacement memoryaddressing mode. The width of the register file is increased to 512 bits and total register count increased to 32 (registers ZMM0-ZMM31) in x86-64 mode.

AVX-512 consists of multiple instruction subsets, not all of which are meant to be supported by all processors implementing them. The instruction set consists of the following:

  • AVX-512 Foundation (F) – adds several new instructions and expands most 32- and 64-bit floating-point SSE-SSE4.1 and AVX/AVX2 instructions withEVEX coding scheme to support the 512-bit registers, operation masks, parameter broadcasting, and embedded rounding and exception control
  • AVX-512 Conflict Detection Instructions (CD) – efficient conflict detection to allow more loops to be vectorized, supported by Knights Landing[3]
  • AVX-512 Exponential and Reciprocal Instructions (ER) – exponential and reciprocal operations designed to help implement transcendental operations, supported by Knights Landing[3]
  • AVX-512 Prefetch Instructions (PF) – new prefetch capabilities, supported by Knights Landing[3]
  • AVX-512 Vector Length Extensions (VL) – extends most AVX-512 operations to also operate on XMM (128-bit) and YMM (256-bit) registers (including XMM16-XMM31 and YMM16-YMM31 in x86-64 mode)[25]
  • AVX-512 Byte and Word Instructions (BW) – extends AVX-512 to cover 8-bit and 16-bit integer operations[25]
  • AVX-512 Doubleword and Quadword Instructions (DQ) – enhanced 32-bit and 64-bit integer operations[25]
  • AVX-512 IntegerFused Multiply Add (IFMA) – fused multiply add for 512-bit integers.[26]: 746 
  • AVX-512 Vector Byte Manipulation Instructions (VBMI) adds vector byte permutation instructions which are not present in AVX-512BW.
  • AVX-512 Vector Neural Network Instructions Word variable precision (4VNNIW) – vector instructions for deep learning.
  • AVX-512 Fused Multiply Accumulation Packed Single precision (4FMAPS) – vector instructions for deep learning.
  • VPOPCNTDQ – count of bits set to 1.[27]
  • VPCLMULQDQ – carry-less multiplication of quadwords.[27]
  • AVX-512 Vector Neural Network Instructions (VNNI) – vector instructions for deep learning.[27]
  • AVX-512 Galois Field New Instructions (GFNI) – vector instructions for calculatingGalois field.[27]
  • AVX-512 Vector AES instructions (VAES) – vector instructions forAES coding.[27]
  • AVX-512 Vector Byte Manipulation Instructions 2 (VBMI2) – byte/word load, store and concatenation with shift.[27]
  • AVX-512 Bit Algorithms (BITALG) – byte/wordbit manipulation instructions expanding VPOPCNTDQ.[27]
  • AVX-512Bfloat16 Floating-Point Instructions (BF16) – vector instructions for AI acceleration.
  • AVX-512Half-Precision Floating-Point Instructions (FP16) – vector instructions for operating on floating-point and complex numbers with reduced precision.

Only the core extension AVX-512F (AVX-512 Foundation) is required by all implementations, though all current implementations also support CD (conflict detection). All central processors with AVX-512 also support VL, DQ and BW. The ER, PF, 4VNNIW and 4FMAPS instruction set extensions are currently only implemented in Intel computing coprocessors.

The updated SSE/AVX instructions in AVX-512F use the same mnemonics as AVX versions; they can operate on 512-bit ZMM registers, and will also support 128/256 bit XMM/YMM registers (with AVX-512VL) and byte, word, doubleword and quadword integer operands (with AVX-512BW/DQ and VBMI).[26]: 23 

AVX-512 CPU compatibility table

[edit]
Subset
F
CD
ER
PF
4FMAPS
4VNNIW
VPOPCNTDQ
VL
DQ
BW
IFMA
VBMI
VBMI2
BITALG
VNNI
BF16
VPCLMULQDQ
GFNI
VAES
VP2INTERSECT
FP16
IntelKnights Landing (2016)YesYesNo
IntelKnights Mill (2017)YesNo
IntelSkylake-SP,Skylake-X (2017)NoNoYesNo
IntelCannon Lake (2018)YesNo
IntelCascade Lake-SP (2019)NoYesNo
IntelCooper Lake (2020)NoYesNo
IntelIce Lake (2019)YesNoYesNo
IntelTiger Lake (2020)YesNo
IntelRocket Lake (2021)No
IntelAlder Lake (2021)PartialNote 1PartialNote 1
AMDZen 4 (2022)YesYesNo
IntelSapphire Rapids (2023)NoYes
AMDZen 5 (2024)YesNo

[28]

^Note 1 : Intel does not officially support AVX-512 family of instructions on theAlder Lake microprocessors. In early 2022, Intel began disabling in silicon (fusing off) AVX-512 in Alder Lake microprocessors to prevent customers from enabling AVX-512.[29]In older Alder Lake family CPUs with some legacy combinations of BIOS and microcode revisions, it was possible to execute AVX-512 family instructions when disabling all the efficiency cores which do not contain the silicon for AVX-512.[30][31][32]

Compilers supporting AVX-512

[edit]

Assemblers supporting AVX-512

[edit]

AVX-VNNI, AVX-IFMA

[edit]

AVX-VNNI is aVEX-coded variant of theAVX512-VNNI instruction set extension. Similarly, AVX-IFMA is aVEX-coded variant ofAVX512-IFMA. These extensions provide the same sets of operations as their AVX-512 counterparts, but are limited to 256-bit vectors and do not support any additional features ofEVEX encoding, such as broadcasting, opmask registers or accessing more than 16 vector registers. These extensions allow support of VNNI and IFMA operations even when fullAVX-512 support is not implemented in the processor.

CPUs with AVX-VNNI

[edit]

CPUs with AVX-IFMA

[edit]
  • Intel
    • Sierra Forest E-core-only Xeon processors (Q2 2024) and newer.
    • Grand Ridge special-purpose processors and newer.
    • Meteor Lake mobile processors (Q4 2023) and newer.
    • Arrow Lake desktop processors (Q4 2024) and newer.

AVX10

[edit]

AVX10, announced in July 2023,[38] is a new, "converged" AVX instruction set. It addresses several issues of AVX-512, in particular that it is split into too many parts[39] (20 feature flags). The initial technical paper also made 512-bit vectors optional to support, but as of revision 3.0 vector length enumeration is removed and 512-bit vectors are mandatory.[40]

AVX10 presents a simplified CPUID interface to test for instruction support, consisting of the AVX10 version number (indicating the set of instructions supported, with later versions always being a superset of an earlier one).[41] For example, AVX10.2 indicates that a CPU is capable of the second version of AVX10.[42] Initial revisions of the AVX10 technical specifications also included maximum supported vector length as part of the ISA extension name, e.g. AVX10.2/256 would mean a second version of AVX10 with vector length up to 256 bits, but later revisions made that unnecessary.

The first version of AVX10, notated AVX10.1, doesnot introduce any instructions or encoding features beyond what is already in AVX-512 (specifically, in IntelSapphire Rapids: AVX-512F, CD, VL, DQ, BW, IFMA, VBMI, VBMI2, BITALG, VNNI, GFNI, VPOPCNTDQ, VPCLMULQDQ, VAES, BF16, FP16). For CPUs supporting AVX10 and 512-bit vectors, all legacy AVX-512 feature flags will remain set to facilitate applications supporting AVX-512 to continue using AVX-512 instructions.[42]

AVX10.1 was first released in IntelGranite Rapids[42] (Q3 2024) and AVX10.2 will be available inDiamond Rapids.[43]

APX

[edit]
Main article:x86 § APX (Advanced Performance Extensions)

APX is a new extension. It is not focused on vector computation, but provides RISC-like extensions to the x86-64 architecture by doubling the number of general-purpose registers to 32 and introducing three-operand instruction formats. AVX is only tangentially affected as APX introduces extended operands.[44][45]

Applications

[edit]
  • Suitable forfloating-point-intensive calculations in multimedia, scientific and financial applications (AVX2 adds support forinteger operations).
  • Increases parallelism and throughput in floating-pointSIMD calculations.
  • Reduces register load due to the non-destructive instructions.
  • Improves Linux RAID software performance (requires AVX2, AVX is not sufficient)[46]

Software

[edit]
  • Cryptography
    • BSAFE C toolkits uses AVX and AVX2 where appropriate to accelerate various cryptographic algorithms.[47]
    • OpenSSL uses AVX- and AVX2-optimized cryptographic functions since version 1.0.2.[48] Support for AVX-512 was added in version 3.0.0.[49] Some of these optimizations are also present in various clones and forks, like LibreSSL.
  • Science, engineering an others
    • EsriArcGIS Data Store uses AVX2 for graph storage.[55]
    • Prime95/MPrime, the software used forGIMPS, started using the AVX instructions since version 27.1, AVX2 since 28.6 and AVX-512 since 29.1.[56]
    • Einstein@Home uses AVX in some of their distributed applications that search forgravitational waves.[57]
    • TensorFlow since version 1.6 and tensorflow above versions requires CPU supporting at least AVX.[58]
    • EmEditor 19.0 and above uses AVX2 to speed up processing.[59]
    • Microsoft Teams uses AVX2 instructions to create a blurred or custom background behind video chat participants,[60] and for background noise suppression.[61]
    • simdjson, aJSON parsing library, uses AVX2 and AVX-512 to achieve improved decoding speed.[62][63]
    • x86-simd-sort, a library with sorting algorithms for 16, 32 and 64-bit numeric data types, uses AVX2 and AVX-512. The library is used inNumPy andOpenJDK to accelerate sorting algorithms.[64]
    • Tesseract OCR engine uses AVX, AVX2 and AVX-512 to accelerate character recognition.[65]

Downclocking

[edit]

Since AVX instructions are wider, they consume more power and generate more heat. Executing heavy AVX instructions at high CPU clock frequencies may affect CPU stability due to excessivevoltage droop during load transients. Some Intel processors have provisions to reduce theTurbo Boost frequency limit when such instructions are being executed. This reduction happens even if the CPU hasn't reached its thermal and power consumption limits.

OnSkylake and its derivatives, the throttling is divided into three levels:[66][67]

  • L0 (100%): The normal turbo boost limit.
  • L1 (~85%): The "AVX boost" limit. Soft-triggered by 256-bit "heavy" (floating-point unit: FP math and integer multiplication) instructions. Hard-triggered by "light" (all other) 512-bit instructions.
  • L2 (~60%):[dubiousdiscuss] The "AVX-512 boost" limit. Soft-triggered by 512-bit heavy instructions.

The frequency transition can be soft or hard. Hard transition means the frequency is reduced as soon as such an instruction is spotted; soft transition means that the frequency is reduced only after reaching a threshold number of matching instructions. The limit is per-thread.[66]

InIce Lake, only two levels persist:[68]

  • L0 (100%): The normal turbo boost limit.
  • L1 (~97%): Triggered by any 512-bit instructions, but only when single-core boost is active; not triggered when multiple cores are loaded.

Rocket Lake processors do not trigger frequency reduction upon executing any kind of vector instructions regardless of the vector size.[68] However, downclocking can still happen due to other reasons, such as reaching thermal and power limits.

Downclocking means that using AVX in a mixed workload with an Intel processor can incur a frequency penalty. Avoiding the use of wide and heavy instructions help minimize the impact in these cases. AVX-512VL allows for using 256-bit or 128-bit operands in AVX-512 instructions, making it a sensible default for mixed loads.[69]

On supported and unlocked variants of processors that down-clock, the clock ratio reduction offsets (typically called AVX and AVX-512 offsets) are adjustable and may be turned off entirely (set to 0x) via Intel's Overclocking / Tuning utility or in BIOS if supported there.[70]

See also

[edit]

References

[edit]
  1. ^Kanter, David (September 25, 2010)."Intel's Sandy Bridge Microarchitecture".www.realworldtech.com. RetrievedFebruary 17, 2018.
  2. ^Hruska, Joel (October 24, 2011)."Analyzing Bulldozer: Why AMD's chip is so disappointing - Page 4 of 5 - ExtremeTech".ExtremeTech. RetrievedFebruary 17, 2018.
  3. ^abcdeJames Reinders (July 23, 2013),AVX-512 Instructions,Intel, retrievedAugust 20, 2013
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  5. ^"14.9".Intel 64 and IA-32 Architectures Software Developer's Manual Volume 1: Basic Architecture(PDF) (-051US ed.). Intel Corporation. p. 349. RetrievedAugust 23, 2014.Memory arguments for most instructions with VEX prefix operate normally without causing #GP(0) on any byte-granularity alignment (unlike Legacy SSE instructions).
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  10. ^ab"Intel® Celeron® 6305 Processor (4M Cache, 1.80 GHz, with IPU) Product Specifications".ark.intel.com. RetrievedNovember 10, 2020.
  11. ^Butler, Michael; Barnes, Leslie; Das Sarma, Debjit; Gelinas, Bob (March–April 2011)."Bulldozer: An Approach to Multithreaded Compute Performance"(PDF).IEEE Micro.31 (2):6–15.doi:10.1109/MM.2011.23.S2CID 28236214. Archived fromthe original(PDF) on May 19, 2024.
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