Performance Analysis Of Pde Based Parallel Algorithms On Different Computer Architectures

Tez (Yüksek Lisans) -- İstanbul Teknik Üniversitesi, Bilişim Enstitüsü, 2009Thesis (M.Sc.) -- İstanbul Technical University, Institute of Informatics, 2009Son yıllarda dağıtık algoritmaların farklı platformlarda kullanılabilmesi platform ve uygulama bağımsız performans analizi uygulamaları ihtiyacını arttırmıştır. Farklı donanımları ve haberleşme metodlarını destekleyen uygulamalar kullanıcılara donanım ve yazılımdan bağımsız ortak bir zemin hazırladıkları için kolaylık sağlamaktadır. Kısmi fark denklemleri hesaplamalı bilim ve mühendisliğin bir çok alanında kullanılmaktadır (ısı, dalga yayılımı gibi). Bu denklemlerin sayısal çözümü yinelemeli yöntemler kullanılarak yapılmaktadır. Problemin boyutu ve hata değerine göre çözüme ulaşmak için gereken yineleme sayısı ve buna bağlı olarak süresi değişmektedir. Kısmi fark denklemelerinin tek işlemcili bilgisayarlardaki çözümü uzun sürdüğü ve yüksek boyutlarda hafızaları yetersiz kaldığı için paralelleştirilerek birden fazla bilgisayarın işlemcisi ve hafızası kullanılarak çözülmektedir. Tezimde eliptik kısmi fark denklemlerini Gauss-Seidel ve Successive Over-Relaxation (SOR) metodlarını kullanarak çözen paralel algoritmalar kullanılmıştır. Performans analizi ve eniyilemesi kabaca üç adımdan oluşmaktadır; ölçüm, sonuçların analizi, darboğazların tespit edilip yazılımda iyileştirme yapılması. Ölçüm aşamasında programın koşarken ürettiği performans bilgisi toplanır, toplanan bu veriler görselleştirme araçları ile anlaşılır hale getirilerek yorumlanır. Yorumlama aşamasında tespit edilen dar boğazlar belirlenir ve giderilme yöntemleri araştırılır. Gerekli iyileştirmeler yapılarak program yeniden analiz edilir. Bu aşamaların her birinde farklı uygulamalar kullanılabilir fakat tez çalışmamda uygulamaları tek çatı altında toplayan TAU kullanılmıştır. TAU (Tuning and Analysis Utilities) farklı donanımları ve işletim sistemlerini destekleyerek farklı paralelleştirme metodlarını analiz edebilmektedir. Açık kaynak kodlu olan TAU diğer açık kaynak kodlu uygulamalar ile uyumlu olup birçok seviyede bütünleşme sağlanmıştır. Bu tez çalışmasında, iki farklı platformda aynı uygulamanın performans analizi yapılarak platform farkının getirdiği farklılıklar incelenmektedir. Performans analizinde bir algoritmanın eniyilemesini yapmak için genel bir kural olmadığından her algoritma her platformda incelenerek gerekli değişiklikler yapılmalıdır. Bu bağlamda kullandığım PDE algoritmasının her iki sistemdeki analizi sonucu elde edilen bilgiler yorumlanmıştır.In last two decades, use of parallel algorithms on different architectures increased the need of architecture and application independent performance analysis tools. Tools that support different communication methods and hardware prepare a common ground regardless of equipments provided. Partial differential equations (PDE) are used in several applications (such as propagation of heat, wave) in computational science and engineering. These equations can be solved using iterative numerical methods. Problem size and error tolerance effects iteration count and computation time to solve equation. PDE computations take long time using single processor computers with sequential algorithms, and if data size gets bigger single processors memory may be insufficient. Thus, PDE?s are solved using parallel algorithms on multiple processors. In this thesis, elliptic partial differential equation is solved using Gauss-Seidel and Successive Over-Relaxation (SOR) methods parallel algorithms. Performance analysis and optimization basically has three steps; evaluation, analysis of gathered information, defining and optimizing bottlenecks. In evaluation, performance information is gathered while program runs, then observations are made on gathered information by using visualization tools. Bottlenecks are defined and optimization techniques are researched. Necessary improvements are made to analyze the program again. Different applications in each of these stages can be used but in this thesis TAU is used, which collects these applications under one roof. TAU (Tuning and Analysis Utilities) supports many hardware, operating systems and parallelization methods. TAU is an open source application and collaborates with other open source applications at different levels. In this thesis, differences based on performance analysis of an algorithm in different two architectures are investigated. In performance analysis and optimization there is no golden rule to speed up algorithm. Each algorithm must be analyzed on that specific architecture. In this context, the performance analysis of a PDE algorithm on two architectures has been interpreted.Yüksek LisansM.Sc

Optimizing message-passing performance within symmetric multiprocessor systems

The Message Passing Interface (MPI) has been widely used in the area of parallel computing due to its portability, scalability, and ease of use. Message passing within Symmetric Multiprocessor (SMP) systems is an import part of any MPI library since it enables parallel programs to run efficiently on SMP systems, or clusters of SMP systems when combined with other ways of communication such as TCP/IP. Most message-passing implementations use a shared memory pool as an intermediate buffer to hold messages, some lock mechanisms to protect the pool, and some synchronization mechanism for coordinating the processes. However, the performance varies significantly depending on how these are implemented. The work here implements two SMP message-passing modules using lock-based and lock-free approaches for MPLi̲te, a compact library that implements a subset of the most commonly used MPI functions. Various optimization techniques have been used to optimize the performance. These two modules are evaluated using a communication performance analysis tool called NetPIPE, and compared with the implementations of other MPI libraries such as MPICH, MPICH2, LAM/MPI and MPI/PRO. Performance tools such as PAPI and VTune are used to gather some runtime information at the hardware level. This information together with some cache theory and the hardware configuration is used to explain various performance phenomena. Tests using a real application have shown the performance of the different implementations in real practice. These results all show that the improvements of the new techniques over existing implementations

hwloc: a Generic Framework for Managing Hardware Affinities in HPC Applications

International audienceThe increasing numbers of cores, shared caches and memory nodes within machines introduces a complex hardware topology. High-performance computing applications now have to carefully adapt their placement and behavior according to the underlying hierarchy of hardware resources and their software affinities. We introduce the Hardware Locality (hwloc) software which gathers hardware information about processors, caches, memory nodes and more, and exposes it to applications and runtime systems in a abstracted and portable hierarchical manner. hwloc may significantly help performance by having runtime systems place their tasks or adapt their communication strategies depending on hardware affinities. We show that hwloc can already be used by popular high-performance OpenMP or MPI software. Indeed, scheduling OpenMP threads according to their affinities or placing MPI processes according to their communication patterns shows interesting performance improvement thanks to hwloc. An optimized MPI communication strategy may also be dynamically chosen according to the location of the communicating processes in the machine and its hardware characteristics

An automated OpenCL FPGA compilation framework targeting a configurable, VLIW chip multiprocessor

Modern system-on-chips augment their baseline CPU with coprocessors and accelerators to increase overall computational capacity and power efficiency, and thus have evolved into heterogeneous systems. Several languages have been developed to enable this paradigm shift, including CUDA and OpenCL. This thesis discusses a unified compilation environment to enable heterogeneous system design through the use of OpenCL and a customised VLIW chip multiprocessor (CMP) architecture, known as the LE1. An LLVM compilation framework was researched and a prototype developed to enable the execution of OpenCL applications on the LE1 CPU. The framework fully automates the compilation flow and supports work-item coalescing to better utilise the CPU cores and alleviate the effects of thread divergence. This thesis discusses in detail both the software stack and target hardware architecture and evaluates the scalability of the proposed framework on a highly precise cycle-accurate simulator. This is achieved through the execution of 12 benchmarks across 240 different machine configurations, as well as further results utilising an incomplete development branch of the compiler. It is shown that the problems generally scale well with the LE1 architecture, up to eight cores, when the memory system becomes a serious bottleneck. Results demonstrate superlinear performance on certain benchmarks (x9 for the bitonic sort benchmark with 8 dual-issue cores) with further improvements from compiler optimisations (x14 for bitonic with the same configuration

Software caching techniques and hardware optimizations for on-chip local memories

Despite the fact that the most viable L1 memories in processors are caches, on-chip local memories have been a great topic of consideration lately. Local memories are an interesting design option due to their many benefits: less area occupancy, reduced energy consumption and fast and constant access time. These benefits are especially interesting for the design of modern multicore processors since power and latency are important assets in computer architecture today. Also, local memories do not generate coherency traffic which is important for the scalability of the multicore systems. Unfortunately, local memories have not been well accepted in modern processors yet, mainly due to their poor programmability. Systems with on-chip local memories do not have hardware support for transparent data transfers between local and global memories, and thus ease of programming is one of the main impediments for the broad acceptance of those systems. This thesis addresses software and hardware optimizations regarding the programmability, and the usage of the on-chip local memories in the context of both single-core and multicore systems. Software optimizations are related to the software caching techniques. Software cache is a robust approach to provide the user with a transparent view of the memory architecture; but this software approach can suffer from poor performance. In this thesis, we start optimizing traditional software cache by proposing a hierarchical, hybrid software-cache architecture. Afterwards, we develop few optimizations in order to speedup our hybrid software cache as much as possible. As the result of the software optimizations we obtain that our hybrid software cache performs from 4 to 10 times faster than traditional software cache on a set of NAS parallel benchmarks. We do not stop with software caching. We cover some other aspects of the architectures with on-chip local memories, such as the quality of the generated code and its correspondence with the quality of the buffer management in local memories, in order to improve performance of these architectures. Therefore, we run our research till we reach the limit in software and start proposing optimizations on the hardware level. Two hardware proposals are presented in this thesis. One is about relaxing alignment constraints imposed in the architectures with on-chip local memories and the other proposal is about accelerating the management of local memories by providing hardware support for the majority of actions performed in our software cache.Malgrat les memòries cau encara son el component basic pel disseny del subsistema de memòria, les memòries locals han esdevingut una alternativa degut a les seves característiques pel que fa a l’ocupació d’àrea, el seu consum energètic i el seu rendiment amb un temps d’accés ràpid i constant. Aquestes característiques son d’especial interès quan les properes arquitectures multi-nucli estan limitades pel consum de potencia i la latència del subsistema de memòria.Les memòries locals pateixen de limitacions respecte la complexitat en la seva programació, fet que dificulta la seva introducció en arquitectures multi-nucli, tot i els avantatges esmentats anteriorment. Aquesta tesi presenta un seguit de solucions basades en programari i maquinari específicament dissenyat per resoldre aquestes limitacions.Les optimitzacions del programari estan basades amb tècniques d'emmagatzematge de memòria cau suportades per llibreries especifiques. La memòria cau per programari és un sòlid mètode per proporcionar a l'usuari una visió transparent de l'arquitectura, però aquest enfocament pot patir d'un rendiment deficient. En aquesta tesi, es proposa una estructura jeràrquica i híbrida. Posteriorment, desenvolupem optimitzacions per tal d'accelerar l’execució del programari que suporta el disseny de la memòria cau. Com a resultat de les optimitzacions realitzades, obtenim que el nostre disseny híbrid es comporta de 4 a 10 vegades més ràpid que una implementació tradicional de memòria cau sobre un conjunt d’aplicacions de referencia, com son els “NAS parallel benchmarks”.El treball de tesi inclou altres aspectes de les arquitectures amb memòries locals, com ara la qualitat del codi generat i la seva correspondència amb la qualitat de la gestió de memòria intermèdia en les memòries locals, per tal de millorar el rendiment d'aquestes arquitectures. La tesi desenvolupa propostes basades estrictament en el disseny de nou maquinari per tal de millorar el rendiment de les memòries locals quan ja no es possible realitzar mes optimitzacions en el programari. En particular, la tesi presenta dues propostes de maquinari: una relaxa les restriccions imposades per les memòries locals respecte l’alineament de dades, l’altra introdueix maquinari específic per accelerar les operacions mes usuals sobre les memòries locals

Predictive analysis and optimisation of pipelined wavefront applications using reusable analytic models

Pipelined wavefront computations are an ubiquitous class of high performance parallel algorithms used for the solution of many scientific and engineering applications. In order to aid the design and optimisation of these applications, and to ensure that during procurement platforms are chosen best suited to these codes, there has been considerable research in analysing and evaluating their operational performance. Wavefront codes exhibit complex computation, communication, synchronisation patterns, and as a result there exist a large variety of such codes and possible optimisations. The problem is compounded by each new generation of high performance computing system, which has often introduced a previously unexplored architectural trait, requiring previous performance models to be rewritten and reevaluated. In this thesis, we address the performance modelling and optimisation of this class of application, as a whole. This differs from previous studies in which bespoke models are applied to specific applications. The analytic performance models are generalised and reusable, and we demonstrate their application to the predictive analysis and optimisation of pipelined wavefront computations running on modern high performance computing systems. The performance model is based on the LogGP parameterisation, and uses a small number of input parameters to specify the particular behaviour of most wavefront codes. The new parameters and model equations capture the key structural and behavioural differences among different wavefront application codes, providing a succinct summary of the operations for each application and insights into alternative wavefront application design. The models are applied to three industry-strength wavefront codes and are validated on several systems including a Cray XT3/XT4 and an InfiniBand commodity cluster. Model predictions show high quantitative accuracy (less than 20% error) for all high performance configurations and excellent qualitative accuracy. The thesis presents applications, projections and insights for optimisations using the model, which show the utility of reusable analytic models for performance engineering of high performance computing codes. In particular, we demonstrate the use of the model for: (1) evaluating application configuration and resulting performance; (2) evaluating hardware platform issues including platform sizing, configuration; (3) exploring hardware platform design alternatives and system procurement and, (4) considering possible code and algorithmic optimisations

An FPGA implementation of an investigative many-core processor, Fynbos : in support of a Fortran autoparallelising software pipeline

Includes bibliographical references.In light of the power, memory, ILP, and utilisation walls facing the computing industry, this work examines the hypothetical many-core approach to finding greater compute performance and efficiency. In order to achieve greater efficiency in an environment in which Moore’s law continues but TDP has been capped, a means of deriving performance from dark and dim silicon is needed. The many-core hypothesis is one approach to exploiting these available transistors efficiently. As understood in this work, it involves trading in hardware control complexity for hundreds to thousands of parallel simple processing elements, and operating at a clock speed sufficiently low as to allow the efficiency gains of near threshold voltage operation. Performance is there- fore dependant on exploiting a new degree of fine-grained parallelism such as is currently only found in GPGPUs, but in a manner that is not as restrictive in application domain range. While removing the complex control hardware of traditional CPUs provides space for more arithmetic hardware, a basic level of control is still required. For a number of reasons this work chooses to replace this control largely with static scheduling. This pushes the burden of control primarily to the software and specifically the compiler, rather not to the programmer or to an application specific means of control simplification. An existing legacy tool chain capable of autoparallelising sequential Fortran code to the degree of parallelism necessary for many-core exists. This work implements a many-core architecture to match it. Prototyping the design on an FPGA, it is possible to examine the real world performance of the compiler-architecture system to a greater degree than simulation only would allow. Comparing theoretical peak performance and real performance in a case study application, the system is found to be more efficient than any other reviewed, but to also significantly under perform relative to current competing architectures. This failing is apportioned to taking the need for simple hardware too far, and an inability to implement static scheduling mitigating tactics due to lack of support for such in the compiler