A Survey on Parallel Multicore Computing: Performance & Improvement
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Parallel Prefix Sum (Scan) with CUDA
Parallel Prefix Sum (Scan) with CUDA Mark Harris [email protected] April 2007 Document Change History Version Date Responsible Reason for Change February 14, Mark Harris Initial release 2007 April 2007 ii Abstract Parallel prefix sum, also known as parallel Scan, is a useful building block for many parallel algorithms including sorting and building data structures. In this document we introduce Scan and describe step-by-step how it can be implemented efficiently in NVIDIA CUDA. We start with a basic naïve algorithm and proceed through more advanced techniques to obtain best performance. We then explain how to scan arrays of arbitrary size that cannot be processed with a single block of threads. Month 2007 1 Parallel Prefix Sum (Scan) with CUDA Table of Contents Abstract.............................................................................................................. 1 Table of Contents............................................................................................... 2 Introduction....................................................................................................... 3 Inclusive and Exclusive Scan .........................................................................................................................3 Sequential Scan.................................................................................................................................................4 A Naïve Parallel Scan ......................................................................................... 4 A Work-Efficient -
2.5 Classification of Parallel Computers
52 // Architectures 2.5 Classification of Parallel Computers 2.5 Classification of Parallel Computers 2.5.1 Granularity In parallel computing, granularity means the amount of computation in relation to communication or synchronisation Periods of computation are typically separated from periods of communication by synchronization events. • fine level (same operations with different data) ◦ vector processors ◦ instruction level parallelism ◦ fine-grain parallelism: – Relatively small amounts of computational work are done between communication events – Low computation to communication ratio – Facilitates load balancing 53 // Architectures 2.5 Classification of Parallel Computers – Implies high communication overhead and less opportunity for per- formance enhancement – If granularity is too fine it is possible that the overhead required for communications and synchronization between tasks takes longer than the computation. • operation level (different operations simultaneously) • problem level (independent subtasks) ◦ coarse-grain parallelism: – Relatively large amounts of computational work are done between communication/synchronization events – High computation to communication ratio – Implies more opportunity for performance increase – Harder to load balance efficiently 54 // Architectures 2.5 Classification of Parallel Computers 2.5.2 Hardware: Pipelining (was used in supercomputers, e.g. Cray-1) In N elements in pipeline and for 8 element L clock cycles =) for calculation it would take L + N cycles; without pipeline L ∗ N cycles Example of good code for pipelineing: §doi =1 ,k ¤ z ( i ) =x ( i ) +y ( i ) end do ¦ 55 // Architectures 2.5 Classification of Parallel Computers Vector processors, fast vector operations (operations on arrays). Previous example good also for vector processor (vector addition) , but, e.g. recursion – hard to optimise for vector processors Example: IntelMMX – simple vector processor. -
Massively Parallel Computing with CUDA
Massively Parallel Computing with CUDA Antonino Tumeo Politecnico di Milano 1 GPUs have evolved to the point where many real world applications are easily implemented on them and run significantly faster than on multi-core systems. Future computing architectures will be hybrid systems with parallel-core GPUs working in tandem with multi-core CPUs. Jack Dongarra Professor, University of Tennessee; Author of “Linpack” Why Use the GPU? • The GPU has evolved into a very flexible and powerful processor: • It’s programmable using high-level languages • It supports 32-bit and 64-bit floating point IEEE-754 precision • It offers lots of GFLOPS: • GPU in every PC and workstation What is behind such an Evolution? • The GPU is specialized for compute-intensive, highly parallel computation (exactly what graphics rendering is about) • So, more transistors can be devoted to data processing rather than data caching and flow control ALU ALU Control ALU ALU Cache DRAM DRAM CPU GPU • The fast-growing video game industry exerts strong economic pressure that forces constant innovation GPUs • Each NVIDIA GPU has 240 parallel cores NVIDIA GPU • Within each core 1.4 Billion Transistors • Floating point unit • Logic unit (add, sub, mul, madd) • Move, compare unit • Branch unit • Cores managed by thread manager • Thread manager can spawn and manage 12,000+ threads per core 1 Teraflop of processing power • Zero overhead thread switching Heterogeneous Computing Domains Graphics Massive Data GPU Parallelism (Parallel Computing) Instruction CPU Level (Sequential -
Parallel Computer Architecture
Parallel Computer Architecture Introduction to Parallel Computing CIS 410/510 Department of Computer and Information Science Lecture 2 – Parallel Architecture Outline q Parallel architecture types q Instruction-level parallelism q Vector processing q SIMD q Shared memory ❍ Memory organization: UMA, NUMA ❍ Coherency: CC-UMA, CC-NUMA q Interconnection networks q Distributed memory q Clusters q Clusters of SMPs q Heterogeneous clusters of SMPs Introduction to Parallel Computing, University of Oregon, IPCC Lecture 2 – Parallel Architecture 2 Parallel Architecture Types • Uniprocessor • Shared Memory – Scalar processor Multiprocessor (SMP) processor – Shared memory address space – Bus-based memory system memory processor … processor – Vector processor bus processor vector memory memory – Interconnection network – Single Instruction Multiple processor … processor Data (SIMD) network processor … … memory memory Introduction to Parallel Computing, University of Oregon, IPCC Lecture 2 – Parallel Architecture 3 Parallel Architecture Types (2) • Distributed Memory • Cluster of SMPs Multiprocessor – Shared memory addressing – Message passing within SMP node between nodes – Message passing between SMP memory memory nodes … M M processor processor … … P … P P P interconnec2on network network interface interconnec2on network processor processor … P … P P … P memory memory … M M – Massively Parallel Processor (MPP) – Can also be regarded as MPP if • Many, many processors processor number is large Introduction to Parallel Computing, University of Oregon, -
CSE373: Data Structures & Algorithms Lecture 26
CSE373: Data Structures & Algorithms Lecture 26: Parallel Reductions, Maps, and Algorithm Analysis Aaron Bauer Winter 2014 Outline Done: • How to write a parallel algorithm with fork and join • Why using divide-and-conquer with lots of small tasks is best – Combines results in parallel – (Assuming library can handle “lots of small threads”) Now: • More examples of simple parallel programs that fit the “map” or “reduce” patterns • Teaser: Beyond maps and reductions • Asymptotic analysis for fork-join parallelism • Amdahl’s Law • Final exam and victory lap Winter 2014 CSE373: Data Structures & Algorithms 2 What else looks like this? • Saw summing an array went from O(n) sequential to O(log n) parallel (assuming a lot of processors and very large n!) – Exponential speed-up in theory (n / log n grows exponentially) + + + + + + + + + + + + + + + • Anything that can use results from two halves and merge them in O(1) time has the same property… Winter 2014 CSE373: Data Structures & Algorithms 3 Examples • Maximum or minimum element • Is there an element satisfying some property (e.g., is there a 17)? • Left-most element satisfying some property (e.g., first 17) – What should the recursive tasks return? – How should we merge the results? • Corners of a rectangle containing all points (a “bounding box”) • Counts, for example, number of strings that start with a vowel – This is just summing with a different base case – Many problems are! Winter 2014 CSE373: Data Structures & Algorithms 4 Reductions • Computations of this form are called reductions -
CSE 613: Parallel Programming Lecture 2
CSE 613: Parallel Programming Lecture 2 ( Analytical Modeling of Parallel Algorithms ) Rezaul A. Chowdhury Department of Computer Science SUNY Stony Brook Spring 2019 Parallel Execution Time & Overhead et al., et Edition Grama nd 2 Source: “Introduction to Parallel Computing”, to Parallel “Introduction Parallel running time on 푝 processing elements, 푇푃 = 푡푒푛푑 – 푡푠푡푎푟푡 , where, 푡푠푡푎푟푡 = starting time of the processing element that starts first 푡푒푛푑 = termination time of the processing element that finishes last Parallel Execution Time & Overhead et al., et Edition Grama nd 2 Source: “Introduction to Parallel Computing”, to Parallel “Introduction Sources of overhead ( w.r.t. serial execution ) ― Interprocess interaction ― Interact and communicate data ( e.g., intermediate results ) ― Idling ― Due to load imbalance, synchronization, presence of serial computation, etc. ― Excess computation ― Fastest serial algorithm may be difficult/impossible to parallelize Parallel Execution Time & Overhead et al., et Edition Grama nd 2 Source: “Introduction to Parallel Computing”, to Parallel “Introduction Overhead function or total parallel overhead, 푇푂 = 푝푇푝 – 푇 , where, 푝 = number of processing elements 푇 = time spent doing useful work ( often execution time of the fastest serial algorithm ) Speedup Let 푇푝 = running time using 푝 identical processing elements 푇1 Speedup, 푆푝 = 푇푝 Theoretically, 푆푝 ≤ 푝 ( why? ) Perfect or linear or ideal speedup if 푆푝 = 푝 Speedup Consider adding 푛 numbers using 푛 identical processing Edition nd elements. Serial runtime, -
A Review of Multicore Processors with Parallel Programming
International Journal of Engineering Technology, Management and Applied Sciences www.ijetmas.com September 2015, Volume 3, Issue 9, ISSN 2349-4476 A Review of Multicore Processors with Parallel Programming Anchal Thakur Ravinder Thakur Research Scholar, CSE Department Assistant Professor, CSE L.R Institute of Engineering and Department Technology, Solan , India. L.R Institute of Engineering and Technology, Solan, India ABSTRACT When the computers first introduced in the market, they came with single processors which limited the performance and efficiency of the computers. The classic way of overcoming the performance issue was to use bigger processors for executing the data with higher speed. Big processor did improve the performance to certain extent but these processors consumed a lot of power which started over heating the internal circuits. To achieve the efficiency and the speed simultaneously the CPU architectures developed multicore processors units in which two or more processors were used to execute the task. The multicore technology offered better response-time while running big applications, better power management and faster execution time. Multicore processors also gave developer an opportunity to parallel programming to execute the task in parallel. These days parallel programming is used to execute a task by distributing it in smaller instructions and executing them on different cores. By using parallel programming the complex tasks that are carried out in a multicore environment can be executed with higher efficiency and performance. Keywords: Multicore Processing, Multicore Utilization, Parallel Processing. INTRODUCTION From the day computers have been invented a great importance has been given to its efficiency for executing the task. -
Parallel Algorithms and Parallel Program Design
Introduction to Parallel Algorithms and Parallel Program Design Parallel Computing CIS 410/510 Department of Computer and Information Science Lecture 12 – Introduction to Parallel Algorithms Methodological Design q Partition ❍ Task/data decomposition q Communication ❍ Task execution coordination q Agglomeration ❍ Evaluation of the structure q Mapping I. Foster, “Designing and Building ❍ Resource assignment Parallel Programs,” Addison-Wesley, 1995. Book is online, see webpage. Introduction to Parallel Computing, University of Oregon, IPCC Lecture 12 – Introduction to Parallel Algorithms 2 Partitioning q Partitioning stage is intended to expose opportunities for parallel execution q Focus on defining large number of small task to yield a fine-grained decomposition of the problem q A good partition divides into small pieces both the computational tasks associated with a problem and the data on which the tasks operates q Domain decomposition focuses on computation data q Functional decomposition focuses on computation tasks q Mixing domain/functional decomposition is possible Introduction to Parallel Computing, University of Oregon, IPCC Lecture 12 – Introduction to Parallel Algorithms 3 Domain and Functional Decomposition q Domain decomposition of 2D / 3D grid q Functional decomposition of a climate model Introduction to Parallel Computing, University of Oregon, IPCC Lecture 12 – Introduction to Parallel Algorithms 4 Partitioning Checklist q Does your partition define at least an order of magnitude more tasks than there are processors in your target computer? If not, may loose design flexibility. q Does your partition avoid redundant computation and storage requirements? If not, may not be scalable. q Are tasks of comparable size? If not, it may be hard to allocate each processor equal amounts of work. -
Vector Vs. Scalar Processors: a Performance Comparison Using a Set of Computational Science Benchmarks
Vector vs. Scalar Processors: A Performance Comparison Using a Set of Computational Science Benchmarks Mike Ashworth, Ian J. Bush and Martyn F. Guest, Computational Science & Engineering Department, CCLRC Daresbury Laboratory ABSTRACT: Despite a significant decline in their popularity in the last decade vector processors are still with us, and manufacturers such as Cray and NEC are bringing new products to market. We have carried out a performance comparison of three full-scale applications, the first, SBLI, a Direct Numerical Simulation code from Computational Fluid Dynamics, the second, DL_POLY, a molecular dynamics code and the third, POLCOMS, a coastal-ocean model. Comparing the performance of the Cray X1 vector system with two massively parallel (MPP) micro-processor-based systems we find three rather different results. The SBLI PCHAN benchmark performs excellently on the Cray X1 with no code modification, showing 100% vectorisation and significantly outperforming the MPP systems. The performance of DL_POLY was initially poor, but we were able to make significant improvements through a few simple optimisations. The POLCOMS code has been substantially restructured for cache-based MPP systems and now does not vectorise at all well on the Cray X1 leading to poor performance. We conclude that both vector and MPP systems can deliver high performance levels but that, depending on the algorithm, careful software design may be necessary if the same code is to achieve high performance on different architectures. KEYWORDS: vector processor, scalar processor, benchmarking, parallel computing, CFD, molecular dynamics, coastal ocean modelling All of the key computational science groups in the 1. Introduction UK made use of vector supercomputers during their halcyon days of the 1970s, 1980s and into the early 1990s Vector computers entered the scene at a very early [1]-[3]. -
Parallel Processing! 1! CSE 30321 – Lecture 23 – Introduction to Parallel Processing! 2! Suggested Readings! •! Readings! –! H&P: Chapter 7! •! (Over Next 2 Weeks)!
CSE 30321 – Lecture 23 – Introduction to Parallel Processing! 1! CSE 30321 – Lecture 23 – Introduction to Parallel Processing! 2! Suggested Readings! •! Readings! –! H&P: Chapter 7! •! (Over next 2 weeks)! Lecture 23" Introduction to Parallel Processing! University of Notre Dame! University of Notre Dame! CSE 30321 – Lecture 23 – Introduction to Parallel Processing! 3! CSE 30321 – Lecture 23 – Introduction to Parallel Processing! 4! Processor components! Multicore processors and programming! Processor comparison! vs.! Goal: Explain and articulate why modern microprocessors now have more than one core andCSE how software 30321 must! adapt to accommodate the now prevalent multi- core approach to computing. " Introduction and Overview! Writing more ! efficient code! The right HW for the HLL code translation! right application! University of Notre Dame! University of Notre Dame! CSE 30321 – Lecture 23 – Introduction to Parallel Processing! CSE 30321 – Lecture 23 – Introduction to Parallel Processing! 6! Pipelining and “Parallelism”! ! Load! Mem! Reg! DM! Reg! ALU ! Instruction 1! Mem! Reg! DM! Reg! ALU ! Instruction 2! Mem! Reg! DM! Reg! ALU ! Instruction 3! Mem! Reg! DM! Reg! ALU ! Instruction 4! Mem! Reg! DM! Reg! ALU Time! Instructions execution overlaps (psuedo-parallel)" but instructions in program issued sequentially." University of Notre Dame! University of Notre Dame! CSE 30321 – Lecture 23 – Introduction to Parallel Processing! CSE 30321 – Lecture 23 – Introduction to Parallel Processing! Multiprocessing (Parallel) Machines! Flynn#s -
Challenges for the Message Passing Interface in the Petaflops Era
Challenges for the Message Passing Interface in the Petaflops Era William D. Gropp Mathematics and Computer Science www.mcs.anl.gov/~gropp What this Talk is About The title talks about MPI – Because MPI is the dominant parallel programming model in computational science But the issue is really – What are the needs of the parallel software ecosystem? – How does MPI fit into that ecosystem? – What are the missing parts (not just from MPI)? – How can MPI adapt or be replaced in the parallel software ecosystem? – Short version of this talk: • The problem with MPI is not with what it has but with what it is missing Lets start with some history … Argonne National Laboratory 2 Quotes from “System Software and Tools for High Performance Computing Environments” (1993) “The strongest desire expressed by these users was simply to satisfy the urgent need to get applications codes running on parallel machines as quickly as possible” In a list of enabling technologies for mathematical software, “Parallel prefix for arbitrary user-defined associative operations should be supported. Conflicts between system and library (e.g., in message types) should be automatically avoided.” – Note that MPI-1 provided both Immediate Goals for Computing Environments: – Parallel computer support environment – Standards for same – Standard for parallel I/O – Standard for message passing on distributed memory machines “The single greatest hindrance to significant penetration of MPP technology in scientific computing is the absence of common programming interfaces across various parallel computing systems” Argonne National Laboratory 3 Quotes from “Enabling Technologies for Petaflops Computing” (1995): “The software for the current generation of 100 GF machines is not adequate to be scaled to a TF…” “The Petaflops computer is achievable at reasonable cost with technology available in about 20 years [2014].” – (estimated clock speed in 2004 — 700MHz)* “Software technology for MPP’s must evolve new ways to design software that is portable across a wide variety of computer architectures. -
A Review of Parallel Processing Approaches to Robot Kinematics and Jacobian
Technical Report 10/97, University of Karlsruhe, Computer Science Department, ISSN 1432-7864 A Review of Parallel Processing Approaches to Robot Kinematics and Jacobian Dominik HENRICH, Joachim KARL und Heinz WÖRN Institute for Real-Time Computer Systems and Robotics University of Karlsruhe, D-76128 Karlsruhe, Germany e-mail: [email protected] Abstract Due to continuously increasing demands in the area of advanced robot control, it became necessary to speed up the computation. One way to reduce the computation time is to distribute the computation onto several processing units. In this survey we present different approaches to parallel computation of robot kinematics and Jacobian. Thereby, we discuss both the forward and the reverse problem. We introduce a classification scheme and classify the references by this scheme. Keywords: parallel processing, Jacobian, robot kinematics, robot control. 1 Introduction Due to continuously increasing demands in the area of advanced robot control, it became necessary to speed up the computation. Since it should be possible to control the motion of a robot manipulator in real-time, it is necessary to reduce the computation time to less than the cycle rate of the control loop. One way to reduce the computation time is to distribute the computation over several processing units. There are other overviews and reviews on parallel processing approaches to robotic problems. Earlier overviews include [Lee89] and [Graham89]. Lee takes a closer look at parallel approaches in [Lee91]. He tries to find common features in the different problems of kinematics, dynamics and Jacobian computation. The latest summary is from Zomaya et al. [Zomaya96].