3,115 research outputs found

    Low Power Processor Architectures and Contemporary Techniques for Power Optimization ā€“ A Review

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    The technological evolution has increased the number of transistors for a given die area significantly and increased the switching speed from few MHz to GHz range. Such inversely proportional decline in size and boost in performance consequently demands shrinking of supply voltage and effective power dissipation in chips with millions of transistors. This has triggered substantial amount of research in power reduction techniques into almost every aspect of the chip and particularly the processor cores contained in the chip. This paper presents an overview of techniques for achieving the power efficiency mainly at the processor core level but also visits related domains such as buses and memories. There are various processor parameters and features such as supply voltage, clock frequency, cache and pipelining which can be optimized to reduce the power consumption of the processor. This paper discusses various ways in which these parameters can be optimized. Also, emerging power efficient processor architectures are overviewed and research activities are discussed which should help reader identify how these factors in a processor contribute to power consumption. Some of these concepts have been already established whereas others are still active research areas. Ā© 2009 ACADEMY PUBLISHER

    Coarse-grained reconfigurable array architectures

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    Coarse-Grained Reconļ¬gurable Array (CGRA) architectures accelerate the same inner loops that beneļ¬t from the high ILP support in VLIW architectures. By executing non-loop code on other cores, however, CGRAs can focus on such loops to execute them more efļ¬ciently. This chapter discusses the basic principles of CGRAs, and the wide range of design options available to a CGRA designer, covering a large number of existing CGRA designs. The impact of different options on ļ¬‚exibility, performance, and power-efļ¬ciency is discussed, as well as the need for compiler support. The ADRES CGRA design template is studied in more detail as a use case to illustrate the need for design space exploration, for compiler support and for the manual ļ¬ne-tuning of source code

    Low-Power and Reconfigurable Asynchronous ASIC Design Implementing Recurrent Neural Networks

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    Artificial intelligence (AI) has experienced a tremendous surge in recent years, resulting in high demand for a wide array of implementations of algorithms in the field. With the rise of Internet-of-Things devices, the need for artificial intelligence algorithms implemented in hardware with tight design restrictions has become even more prevalent. In terms of low power and area, ASIC implementations have the best case. However, these implementations suffer from high non-recurring engineering costs, long time-to-market, and a complete lack of flexibility, which significantly hurts their appeal in an environment where time-to-market is so critical. The time-to-market gap can be shortened through the use of reconfigurable solutions, such as FPGAs, but these come with high cost per unit and significant power and area deficiencies over their ASIC counterparts. To bridge these gaps, this dissertation work develops two methodologies to improve the usability of ASIC implementations of neural networks in these applications. The first method demonstrates a method for substantial reductions in design time for asynchronous implementations of a set of AI algorithms known as Recurrent Neural Networks (RNN) by analyzing the possible architectures and implementing a library of generic or easily altered components that can be used to quickly implement a chosen RNN architecture. A tapeout of this method was completed using as few as 112 hours of labor by the designer from RNN selection to a DRC/LVS clean chip layout ready for fabrication. The second method develops a flow to implement a set of RNNs in a single reconfigurable ASIC, offering a middle ground between fully reconfigurable solutions and completely application-specific implementations. This reconfigurable design is capable of representing thousands of possible RNN configurations in a single IC. A tapeout of this design was also completed, with both tapeouts using the TSMC 65nm bulk CMOS process

    Cross-Layer Rapid Prototyping and Synthesis of Application-Specific and Reconfigurable Many-accelerator Platforms

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    Technological advances of recent years laid the foundation consolidation of informatisationof society, impacting on economic, political, cultural and socialdimensions. At the peak of this realization, today, more and more everydaydevices are connected to the web, giving the term ā€Internet of Thingsā€. The futureholds the full connection and interaction of IT and communications systemsto the natural world, delimiting the transition to natural cyber systems and offeringmeta-services in the physical world, such as personalized medical care, autonomoustransportation, smart energy cities etc. . Outlining the necessities of this dynamicallyevolving market, computer engineers are required to implement computingplatforms that incorporate both increased systemic complexity and also cover awide range of meta-characteristics, such as the cost and design time, reliabilityand reuse, which are prescribed by a conflicting set of functional, technical andconstruction constraints. This thesis aims to address these design challenges bydeveloping methodologies and hardware/software co-design tools that enable therapid implementation and efficient synthesis of architectural solutions, which specifyoperating meta-features required by the modern market. Specifically, this thesispresents a) methodologies to accelerate the design flow for both reconfigurableand application-specific architectures, b) coarse-grain heterogeneous architecturaltemplates for processing and communication acceleration and c) efficient multiobjectivesynthesis techniques both at high abstraction level of programming andphysical silicon level.Regarding to the acceleration of the design flow, the proposed methodologyemploys virtual platforms in order to hide architectural details and drastically reducesimulation time. An extension of this framework introduces the systemicco-simulation using reconfigurable acceleration platforms as co-emulation intermediateplatforms. Thus, the development cycle of a hardware/software productis accelerated by moving from a vertical serial flow to a circular interactive loop.Moreover the simulation capabilities are enriched with efficient detection and correctiontechniques of design errors, as well as control methods of performancemetrics of the system according to the desired specifications, during all phasesof the system development. In orthogonal correlation with the aforementionedmethodological framework, a new architectural template is proposed, aiming atbridging the gap between design complexity and technological productivity usingspecialized hardware accelerators in heterogeneous systems-on-chip and networkon-chip platforms. It is presented a novel co-design methodology for the hardwareaccelerators and their respective programming software, including the tasks allocationto the available resources of the system/network. The introduced frameworkprovides implementation techniques for the accelerators, using either conventionalprogramming flows with hardware description language or abstract programmingmodel flows, using techniques from high-level synthesis. In any case, it is providedthe option of systemic measures optimization, such as the processing speed,the throughput, the reliability, the power consumption and the design silicon area.Finally, on addressing the increased complexity in design tools of reconfigurablesystems, there are proposed novel multi-objective optimization evolutionary algo-rithms which exploit the modern multicore processors and the coarse-grain natureof multithreaded programming environments (e.g. OpenMP) in order to reduce theplacement time, while by simultaneously grouping the applications based on theirintrinsic characteristics, the effectively explore the design space effectively.The efficiency of the proposed architectural templates, design tools and methodologyflows is evaluated in relation to the existing edge solutions with applicationsfrom typical computing domains, such as digital signal processing, multimedia andarithmetic complexity, as well as from systemic heterogeneous environments, suchas a computer vision system for autonomous robotic space navigation and manyacceleratorsystems for HPC and workstations/datacenters. The results strengthenthe belief of the author, that this thesis provides competitive expertise to addresscomplex modern - and projected future - design challenges.ĪŸĪ¹ Ļ„ĪµĻ‡Ī½ĪæĪ»ĪæĪ³Ī¹ĪŗĪ­Ļ‚ ĪµĪ¾ĪµĪ»ĪÆĪ¾ĪµĪ¹Ļ‚ Ļ„Ļ‰Ī½ Ļ„ĪµĪ»ĪµĻ…Ļ„Ī±ĪÆĻ‰Ī½ ĪµĻ„ĻŽĪ½ Ī­ĪøĪµĻƒĪ±Ī½ Ļ„Ī± ĪøĪµĪ¼Ī­Ī»Ī¹Ī± ĪµĪ“ĻĪ±ĪÆĻ‰ĻƒĪ·Ļ‚ Ļ„Ī·Ļ‚ Ļ€Ī»Ī·ĻĪæĻ†ĪæĻĪ¹ĪæĻ€ĪæĪÆĪ·ĻƒĪ·Ļ‚ Ļ„Ī·Ļ‚ ĪŗĪæĪ¹Ī½Ļ‰Ī½ĪÆĪ±Ļ‚, ĪµĻ€Ī¹Ī“ĻĻŽĪ½Ļ„Ī±Ļ‚ ĻƒĪµ ĪæĪ¹ĪŗĪæĪ½ĪæĪ¼Ī¹ĪŗĪ­Ļ‚,Ļ€ĪæĪ»Ī¹Ļ„Ī¹ĪŗĪ­Ļ‚, Ļ€ĪæĪ»Ī¹Ļ„Ī¹ĻƒĻ„Ī¹ĪŗĪ­Ļ‚ ĪŗĪ±Ī¹ ĪŗĪæĪ¹Ī½Ļ‰Ī½Ī¹ĪŗĪ­Ļ‚ Ī“Ī¹Ī±ĻƒĻ„Ī¬ĻƒĪµĪ¹Ļ‚. Ī£Ļ„Īæ Ī±Ļ€ĻŒĪ³ĪµĪ¹Īæ Ī±Ļ…Ļ„Ī®Ļ‚ Ļ„Ī· Ļ‚Ļ€ĻĪ±Ī³Ī¼Ī¬Ļ„Ļ‰ĻƒĪ·Ļ‚, ĻƒĪ®Ī¼ĪµĻĪ±, ĪæĪ»ĪæĪ­Ī½Ī± ĪŗĪ±Ī¹ Ļ€ĪµĻĪ¹ĻƒĻƒĻŒĻ„ĪµĻĪµĻ‚ ĪŗĪ±ĪøĪ·Ī¼ĪµĻĪ¹Ī½Ī­Ļ‚ ĻƒĻ…ĻƒĪŗĪµĻ…Ī­Ļ‚ ĻƒĻ…Ī½Ī“Ī­ĪæĪ½Ļ„Ī±Ī¹ ĻƒĻ„Īæ Ļ€Ī±Ī³ĪŗĻŒĻƒĪ¼Ī¹Īæ Ī¹ĻƒĻ„ĻŒ, Ī±Ļ€ĪæĪ“ĪÆĪ“ĪæĪ½Ļ„Ī±Ļ‚ Ļ„ĪæĪ½ ĻŒĻĪæ Ā«ĪŠĪ½Ļ„ĪµĻĪ½ĪµĻ„ Ļ„Ļ‰Ī½ Ļ€ĻĪ±Ī³Ī¼Ī¬Ļ„Ļ‰Ī½Ā».Ī¤Īæ Ī¼Ī­Ī»Ī»ĪæĪ½ ĪµĻ€Ī¹Ļ†Ļ…Ī»Ī¬ĻƒĻƒĪµĪ¹ Ļ„Ī·Ī½ Ļ€Ī»Ī®ĻĪ· ĻƒĻĪ½Ī“ĪµĻƒĪ· ĪŗĪ±Ī¹ Ī±Ī»Ī»Ī·Ī»ĪµĻ€ĪÆĪ“ĻĪ±ĻƒĪ· Ļ„Ļ‰Ī½ ĻƒĻ…ĻƒĻ„Ī·Ī¼Ī¬Ļ„Ļ‰Ī½ Ļ€Ī»Ī·ĻĪæĻ†ĪæĻĪ¹ĪŗĪ®Ļ‚ ĪŗĪ±Ī¹ ĪµĻ€Ī¹ĪŗĪæĪ¹Ī½Ļ‰Ī½Ī¹ĻŽĪ½ Ī¼Īµ Ļ„ĪæĪ½ Ļ†Ļ…ĻƒĪ¹ĪŗĻŒ ĪŗĻŒĻƒĪ¼Īæ, ĪæĻĪ¹ĪæĪøĪµĻ„ĻŽĪ½Ļ„Ī±Ļ‚ Ļ„Ī· Ī¼ĪµĻ„Ī¬Ī²Ī±ĻƒĪ· ĻƒĻ„Ī± ĻƒĻ…ĻƒĻ„Ī®Ī¼Ī±Ļ„Ī± Ļ†Ļ…ĻƒĪ¹ĪŗĪæĻ ĪŗĻ…Ī²ĪµĻĪ½ĪæĻ‡ĻŽĻĪæĻ… ĪŗĪ±Ī¹ Ļ€ĻĪæĻƒĻ†Ī­ĻĪæĪ½Ļ„Ī±Ļ‚ Ī¼ĪµĻ„Ī±Ļ…Ļ€Ī·ĻĪµĻƒĪÆĪµĻ‚ ĻƒĻ„ĪæĪ½ Ļ†Ļ…ĻƒĪ¹ĪŗĻŒ ĪŗĻŒĻƒĪ¼Īæ ĻŒĻ€Ļ‰Ļ‚ Ļ€ĻĪæĻƒĻ‰Ļ€ĪæĻ€ĪæĪ¹Ī·Ī¼Ī­Ī½Ī· Ī¹Ī±Ļ„ĻĪ¹ĪŗĪ® Ļ€ĪµĻĪÆĪøĪ±Ī»ĻˆĪ·, Ī±Ļ…Ļ„ĻŒĪ½ĪæĪ¼ĪµĻ‚ Ī¼ĪµĻ„Ī±ĪŗĪ¹Ī½Ī®ĻƒĪµĪ¹Ļ‚, Ī­Ī¾Ļ…Ļ€Ī½ĪµĻ‚ ĪµĪ½ĪµĻĪ³ĪµĪ¹Ī±ĪŗĪ¬ Ļ€ĻŒĪ»ĪµĪ¹Ļ‚ Īŗ.Ī±. . Ī£ĪŗĪ¹Ī±Ī³ĻĪ±Ļ†ĻŽĪ½Ļ„Ī±Ļ‚ Ļ„Ī¹Ļ‚ Ī±Ī½Ī¬Ī³ĪŗĪµĻ‚ Ī±Ļ…Ļ„Ī®Ļ‚ Ļ„Ī·Ļ‚ Ī“Ļ…Ī½Ī±Ī¼Ī¹ĪŗĪ¬ ĪµĪ¾ĪµĪ»Ī¹ĻƒĻƒĻŒĪ¼ĪµĪ½Ī·Ļ‚ Ī±Ī³ĪæĻĪ¬Ļ‚, ĪæĪ¹ Ī¼Ī·Ļ‡Ī±Ī½Ī¹ĪŗĪæĪÆ Ļ…Ļ€ĪæĪ»ĪæĪ³Ī¹ĻƒĻ„ĻŽĪ½ ĪŗĪ±Ī»ĪæĻĪ½Ļ„Ī±Ī¹ Ī½Ī± Ļ…Ī»ĪæĻ€ĪæĪ¹Ī®ĻƒĪæĻ…Ī½ Ļ…Ļ€ĪæĪ»ĪæĪ³Ī¹ĻƒĻ„Ī¹ĪŗĪ­Ļ‚ Ļ€Ī»Ī±Ļ„Ļ†ĻŒĻĪ¼ĪµĻ‚ Ļ€ĪæĻ… Ī±Ļ†ĪµĪ½ĻŒĻ‚ ĪµĪ½ĻƒĻ‰Ī¼Ī±Ļ„ĻŽĪ½ĪæĻ…Ī½ Ī±Ļ…Ī¾Ī·Ī¼Ī­Ī½Ī· ĻƒĻ…ĻƒĻ„Ī·Ī¼Ī¹ĪŗĪ® Ļ€ĪæĪ»Ļ…Ļ€Ī»ĪæĪŗĻŒĻ„Ī·Ļ„Ī± ĪŗĪ±Ī¹ Ī±Ļ†ĪµĻ„Ī­ĻĪæĻ… ĪŗĪ±Ī»ĻĻ€Ļ„ĪæĻ…Ī½ Ī­Ī½Ī± ĪµĻ…ĻĻ Ļ†Ī¬ĻƒĪ¼Ī± Ī¼ĪµĻ„Ī±Ļ‡Ī±ĻĪ±ĪŗĻ„Ī·ĻĪ¹ĻƒĻ„Ī¹ĪŗĻŽĪ½, ĻŒĻ€Ļ‰Ļ‚ Ī».Ļ‡. Ļ„Īæ ĪŗĻŒĻƒĻ„ĪæĻ‚ ĻƒĻ‡ĪµĪ“Ī¹Ī±ĻƒĪ¼ĪæĻ, Īæ Ļ‡ĻĻŒĪ½ĪæĻ‚ ĻƒĻ‡ĪµĪ“Ī¹Ī±ĻƒĪ¼ĪæĻ, Ī· Ī±Ī¾Ī¹ĪæĻ€Ī¹ĻƒĻ„ĪÆĪ± ĪŗĪ±Ī¹ Ī· ĪµĻ€Ī±Ī½Ī±Ļ‡ĻĪ·ĻƒĪ¹Ī¼ĪæĻ€ĪæĪÆĪ·ĻƒĪ·, Ļ„Ī± ĪæĻ€ĪæĪÆĪ± Ļ€ĻĪæĪ“Ī¹Ī±Ī³ĻĪ¬Ļ†ĪæĪ½Ļ„Ī±Ī¹ Ī±Ļ€ĻŒ Ī­Ī½Ī± Ī±Ī½Ļ„Ī¹ĪŗĻĪæĻ…ĻŒĪ¼ĪµĪ½Īæ ĻƒĻĪ½ĪæĪ»Īæ Ī»ĪµĪ¹Ļ„ĪæĻ…ĻĪ³Ī¹ĪŗĻŽĪ½, Ļ„ĪµĻ‡Ī½ĪæĪ»ĪæĪ³Ī¹ĪŗĻŽĪ½ ĪŗĪ±Ī¹ ĪŗĪ±Ļ„Ī±ĻƒĪŗĪµĻ…Ī±ĻƒĻ„Ī¹ĪŗĻŽĪ½ Ļ€ĪµĻĪ¹ĪæĻĪ¹ĻƒĪ¼ĻŽĪ½. Ī— Ļ€Ī±ĻĪæĻĻƒĪ± Ī“Ī¹Ī±Ļ„ĻĪ¹Ī²Ī® ĻƒĻ„ĪæĻ‡ĪµĻĪµĪ¹ ĻƒĻ„Ī·Ī½ Ī±Ī½Ļ„Ī¹Ī¼ĪµĻ„ĻŽĻ€Ī¹ĻƒĪ· Ļ„Ļ‰Ī½ Ļ€Ī±ĻĪ±Ļ€Ī¬Ī½Ļ‰ ĻƒĻ‡ĪµĪ“Ī¹Ī±ĻƒĻ„Ī¹ĪŗĻŽĪ½ Ļ€ĻĪæĪŗĪ»Ī®ĻƒĪµĻ‰Ī½, Ī¼Ī­ĻƒĻ‰ Ļ„Ī·Ļ‚ Ī±Ī½Ī¬Ļ€Ļ„Ļ…Ī¾Ī·Ļ‚ Ī¼ĪµĪøĪæĪ“ĪæĪ»ĪæĪ³Ī¹ĻŽĪ½ ĪŗĪ±Ī¹ ĪµĻĪ³Ī±Ī»ĪµĪÆĻ‰Ī½ ĻƒĻ…Ī½ĻƒĻ‡ĪµĪ“ĪÆĪ±ĻƒĪ·Ļ‚ Ļ…Ī»Ī¹ĪŗĪæĻ/Ī»ĪæĪ³Ī¹ĻƒĪ¼Ī¹ĪŗĪæĻ Ļ€ĪæĻ… ĪµĻ€Ī¹Ļ„ĻĪ­Ļ€ĪæĻ…Ī½ Ļ„Ī·Ī½ Ļ„Ī±Ļ‡ĪµĪÆĪ± Ļ…Ī»ĪæĻ€ĪæĪÆĪ·ĻƒĪ· ĪŗĪ±ĪøĻŽĻ‚ ĪŗĪ±Ī¹ Ļ„Ī·Ī½ Ī±Ļ€ĪæĪ“ĪæĻ„Ī¹ĪŗĪ® ĻƒĻĪ½ĪøĪµĻƒĪ· Ī±ĻĻ‡Ī¹Ļ„ĪµĪŗĻ„ĪæĪ½Ī¹ĪŗĻŽĪ½ Ī»ĻĻƒĪµĻ‰Ī½, ĪæĪ¹ ĪæĻ€ĪæĪÆĪµĻ‚ Ļ€ĻĪæĪ“Ī¹Ī±Ī³ĻĪ¬Ļ†ĪæĻ…Ī½ Ļ„Ī± Ī¼ĪµĻ„Ī±-Ļ‡Ī±ĻĪ±ĪŗĻ„Ī·ĻĪ¹ĻƒĻ„Ī¹ĪŗĪ¬ Ī»ĪµĪ¹Ļ„ĪæĻ…ĻĪ³ĪÆĪ±Ļ‚ Ļ€ĪæĻ… Ī±Ļ€Ī±Ī¹Ļ„ĪµĪÆ Ī· ĻƒĻĪ³Ļ‡ĻĪæĪ½Ī· Ī±Ī³ĪæĻĪ¬. Ī£Ļ…Ī³ĪŗĪµĪŗĻĪ¹Ī¼Ī­Ī½Ī±, ĻƒĻ„Ī± Ļ€Ī»Ī±ĪÆĻƒĪ¹Ī± Ī±Ļ…Ļ„Ī®Ļ‚ Ļ„Ī·Ļ‚ Ī“Ī¹Ī±Ļ„ĻĪ¹Ī²Ī®Ļ‚, Ļ€Ī±ĻĪæĻ…ĻƒĪ¹Ī¬Ī¶ĪæĪ½Ļ„Ī±Ī¹ Ī±) Ī¼ĪµĪøĪæĪ“ĪæĪ»ĪæĪ³ĪÆĪµĻ‚ ĪµĻ€Ī¹Ļ„Ī¬Ļ‡Ļ…Ī½ĻƒĪ·Ļ‚ Ļ„Ī·Ļ‚ ĻĪæĪ®Ļ‚ ĻƒĻ‡ĪµĪ“Ī¹Ī±ĻƒĪ¼ĪæĻ Ļ„ĻŒĻƒĪæ Ī³Ī¹Ī± ĪµĻ€Ī±Ī½Ī±Ī“Ī¹Ī±Ī¼ĪæĻĻ†ĪæĻĪ¼ĪµĪ½ĪµĻ‚ ĻŒĻƒĪæ ĪŗĪ±Ī¹ Ī³Ī¹Ī± ĪµĪ¾ĪµĪ¹Ī“Ī¹ĪŗĪµĻ…Ī¼Ī­Ī½ĪµĻ‚ Ī±ĻĻ‡Ī¹Ļ„ĪµĪŗĻ„ĪæĪ½Ī¹ĪŗĪ­Ļ‚, Ī²) ĪµĻ„ĪµĻĪæĪ³ĪµĪ½Ī® Ī±Ī“ĻĪæĪ¼ĪµĻĪ® Ī±ĻĻ‡Ī¹Ļ„ĪµĪŗĻ„ĪæĪ½Ī¹ĪŗĪ¬ Ļ€ĻĻŒĻ„Ļ…Ļ€Ī± ĪµĻ€Ī¹Ļ„Ī¬Ļ‡Ļ…Ī½ĻƒĪ·Ļ‚ ĪµĻ€ĪµĪ¾ĪµĻĪ³Ī±ĻƒĪÆĪ±Ļ‚ ĪŗĪ±Ī¹ ĪµĻ€Ī¹ĪŗĪæĪ¹Ī½Ļ‰Ī½ĪÆĪ±Ļ‚ ĪŗĪ±Ī¹ Ī³) Ī±Ļ€ĪæĪ“ĪæĻ„Ī¹ĪŗĪ­Ļ‚ Ļ„ĪµĻ‡Ī½Ī¹ĪŗĪ­Ļ‚ Ļ€ĪæĪ»Ļ…ĪŗĻĪ¹Ļ„Ī·ĻĪ¹Ī±ĪŗĪ®Ļ‚ ĻƒĻĪ½ĪøĪµĻƒĪ·Ļ‚ Ļ„ĻŒĻƒĪæ ĻƒĪµ Ļ…ĻˆĪ·Ī»ĻŒ Ī±Ļ†Ī±Ī¹ĻĪµĻ„Ī¹ĪŗĻŒ ĪµĻ€ĪÆĻ€ĪµĪ“Īæ Ļ€ĻĪæĪ³ĻĪ±Ī¼Ī¼Ī±Ļ„Ī¹ĻƒĪ¼ĪæĻ,ĻŒĻƒĪæ ĪŗĪ±Ī¹ ĻƒĪµ Ļ†Ļ…ĻƒĪ¹ĪŗĻŒ ĪµĻ€ĪÆĻ€ĪµĪ“Īæ Ļ€Ļ…ĻĪ¹Ļ„ĪÆĪæĻ….Ī‘Ī½Ī±Ļ†ĪæĻĪ¹ĪŗĪ¬ Ļ€ĻĪæĻ‚ Ļ„Ī·Ī½ ĪµĻ€Ī¹Ļ„Ī¬Ļ‡Ļ…Ī½ĻƒĪ· Ļ„Ī·Ļ‚ ĻĪæĪ®Ļ‚ ĻƒĻ‡ĪµĪ“Ī¹Ī±ĻƒĪ¼ĪæĻ, Ļ€ĻĪæĻ„ĪµĪÆĪ½ĪµĻ„Ī±Ī¹ Ī¼Ī¹Ī± Ī¼ĪµĪøĪæĪ“ĪæĪ»ĪæĪ³ĪÆĪ± Ļ€ĪæĻ… Ļ‡ĻĪ·ĻƒĪ¹Ī¼ĪæĻ€ĪæĪ¹ĪµĪÆ ĪµĪ¹ĪŗĪæĪ½Ī¹ĪŗĪ­Ļ‚ Ļ€Ī»Ī±Ļ„Ļ†ĻŒĻĪ¼ĪµĻ‚, ĪæĪ¹ ĪæĻ€ĪæĪÆĪµĻ‚ Ī±Ļ†Ī±Ī¹ĻĻŽĪ½Ļ„Ī±Ļ‚ Ļ„Ī¹Ļ‚ Ī±ĻĻ‡Ī¹Ļ„ĪµĪŗĻ„ĪæĪ½Ī¹ĪŗĪ­Ļ‚ Ī»ĪµĻ€Ļ„ĪæĪ¼Ī­ĻĪµĪ¹ĪµĻ‚ ĪŗĪ±Ļ„Ī±Ļ†Ī­ĻĪ½ĪæĻ…Ī½ Ī½Ī± Ī¼ĪµĪ¹ĻŽĻƒĪæĻ…Ī½ ĻƒĪ·Ī¼Ī±Ī½Ļ„Ī¹ĪŗĪ¬ Ļ„Īæ Ļ‡ĻĻŒĪ½Īæ ĪµĪ¾ĪæĪ¼ĪæĪÆĻ‰ĻƒĪ·Ļ‚. Ī Ī±ĻĪ¬Ī»Ī»Ī·Ī»Ī±, ĪµĪ¹ĻƒĪ·Ī³ĪµĪÆĻ„Ī±Ī¹ Ī· ĻƒĻ…ĻƒĻ„Ī·Ī¼Ī¹ĪŗĪ® ĻƒĻ…Ī½-ĪµĪ¾ĪæĪ¼ĪæĪÆĻ‰ĻƒĪ· Ī¼Īµ Ļ„Ī· Ļ‡ĻĪ®ĻƒĪ· ĪµĻ€Ī±Ī½Ī±Ī“Ī¹Ī±Ī¼ĪæĻĻ†ĪæĻĪ¼ĪµĪ½Ļ‰Ī½ Ļ€Ī»Ī±Ļ„Ļ†ĪæĻĪ¼ĻŽĪ½, Ļ‰Ļ‚ Ī¼Ī­ĻƒĻ‰Ī½ ĪµĻ€Ī¹Ļ„Ī¬Ļ‡Ļ…Ī½ĻƒĪ·Ļ‚. ĪœĪµ Ī±Ļ…Ļ„ĻŒĪ½ Ļ„ĪæĪ½ Ļ„ĻĻŒĻ€Īæ, Īæ ĪŗĻĪŗĪ»ĪæĻ‚ Ī±Ī½Ī¬Ļ€Ļ„Ļ…Ī¾Ī·Ļ‚ ĪµĪ½ĻŒĻ‚ Ļ€ĻĪæĻŠĻŒĪ½Ļ„ĪæĻ‚ Ļ…Ī»Ī¹ĪŗĪæĻ, Ī¼ĪµĻ„Ī±Ļ„ĪµĪøĪµĪ¹Ī¼Ī­Ī½ĪæĻ‚ Ī±Ļ€ĻŒ Ļ„Ī·Ī½ ĪŗĪ¬ĪøĪµĻ„Ī· ĻƒĪµĪ¹ĻĪ¹Ī±ĪŗĪ® ĻĪæĪ® ĻƒĪµ Ī­Ī½Ī±Ī½ ĪŗĻ…ĪŗĪ»Ī¹ĪŗĻŒ Ī±Ī»Ī»Ī·Ī»ĪµĻ€Ī¹Ī“ĻĪ±ĻƒĻ„Ī¹ĪŗĻŒ Ī²ĻĻŒĪ³Ļ‡Īæ, ĪŗĪ±ĪøĪÆĻƒĻ„Ī±Ļ„Ī±Ī¹ Ļ„Ī±Ļ‡ĻĻ„ĪµĻĪæĻ‚, ĪµĪ½ĻŽ ĪæĪ¹ Ī“Ļ…Ī½Ī±Ļ„ĻŒĻ„Ī·Ļ„ĪµĻ‚ Ļ€ĻĪæĻƒĪæĪ¼ĪæĪÆĻ‰ĻƒĪ·Ļ‚ ĪµĪ¼Ļ€Ī»ĪæĻ…Ļ„ĪÆĪ¶ĪæĪ½Ļ„Ī±Ī¹ Ī¼Īµ Ī±Ļ€ĪæĪ“ĪæĻ„Ī¹ĪŗĻŒĻ„ĪµĻĪµĻ‚ Ī¼ĪµĪøĻŒĪ“ĪæĻ…Ļ‚ ĪµĪ½Ļ„ĪæĻ€Ī¹ĻƒĪ¼ĪæĻ ĪŗĪ±Ī¹ Ī“Ī¹ĻŒĻĪøĻ‰ĻƒĪ·Ļ‚ ĻƒĻ‡ĪµĪ“Ī¹Ī±ĻƒĻ„Ī¹ĪŗĻŽĪ½ ĻƒĻ†Ī±Ī»Ī¼Ī¬Ļ„Ļ‰Ī½, ĪŗĪ±ĪøĻŽĻ‚ ĪŗĪ±Ī¹ Ī¼ĪµĪøĻŒĪ“ĪæĻ…Ļ‚ ĪµĪ»Ī­Ī³Ļ‡ĪæĻ… Ļ„Ļ‰Ī½ Ī¼ĪµĻ„ĻĪ¹ĪŗĻŽĪ½ Ī±Ļ€ĻŒĪ“ĪæĻƒĪ·Ļ‚ Ļ„ĪæĻ… ĻƒĻ…ĻƒĻ„Ī®Ī¼Ī±Ļ„ĪæĻ‚ ĻƒĪµ ĻƒĻ‡Ī­ĻƒĪ· Ī¼Īµ Ļ„Ī¹Ļ‚ ĪµĻ€Ī¹ĪøĻ…Ī¼Ī·Ļ„Ī­Ļ‚ Ļ€ĻĪæĪ“Ī¹Ī±Ī³ĻĪ±Ļ†Ī­Ļ‚, ĻƒĪµ ĻŒĪ»ĪµĻ‚ Ļ„Ī¹Ļ‚ Ļ†Ī¬ĻƒĪµĪ¹Ļ‚ Ī±Ī½Ī¬Ļ€Ļ„Ļ…Ī¾Ī·Ļ‚ Ļ„ĪæĻ… ĻƒĻ…ĻƒĻ„Ī®Ī¼Ī±Ļ„ĪæĻ‚. Ī£Īµ ĪæĻĪøĪæĪ³ĻŽĪ½Ī¹Ī± ĻƒĻ…Ī½Ī¬Ļ†ĪµĪ¹Ī± Ī¼Īµ Ļ„Īæ Ļ€ĻĪæĪ±Ī½Ī±Ļ†ĪµĻĪøĪ­Ī½ Ī¼ĪµĪøĪæĪ“ĪæĪ»ĪæĪ³Ī¹ĪŗĻŒ Ļ€Ī»Ī±ĪÆĻƒĪ¹Īæ, Ļ€ĻĪæĻ„ĪµĪÆĪ½ĪæĪ½Ļ„Ī±Ī¹ Ī½Ī­Ī± Ī±ĻĻ‡Ī¹Ļ„ĪµĪŗĻ„ĪæĪ½Ī¹ĪŗĪ¬ Ļ€ĻĻŒĻ„Ļ…Ļ€Ī± Ļ€ĪæĻ… ĻƒĻ„ĪæĻ‡ĪµĻĪæĻ…Ī½ ĻƒĻ„Ī· Ī³ĪµĻ†ĻĻĻ‰ĻƒĪ· Ļ„ĪæĻ… Ļ‡Ī¬ĻƒĪ¼Ī±Ļ„ĪæĻ‚ Ī¼ĪµĻ„Ī±Ī¾Ļ Ļ„Ī·Ļ‚ ĻƒĻ‡ĪµĪ“Ī¹Ī±ĻƒĻ„Ī¹ĪŗĪ®Ļ‚ Ļ€ĪæĪ»Ļ…Ļ€Ī»ĪæĪŗĻŒĻ„Ī·Ļ„Ī±Ļ‚ ĪŗĪ±Ī¹ Ļ„Ī·Ļ‚ Ļ„ĪµĻ‡Ī½ĪæĪ»ĪæĪ³Ī¹ĪŗĪ®Ļ‚ Ļ€Ī±ĻĪ±Ī³Ļ‰Ī³Ī¹ĪŗĻŒĻ„Ī·Ļ„Ī±Ļ‚, Ī¼Īµ Ļ„Ī· Ļ‡ĻĪ®ĻƒĪ· ĻƒĻ…ĻƒĻ„Ī·Ī¼Ī¬Ļ„Ļ‰Ī½ ĪµĪ¾ĪµĪ¹Ī“Ī¹ĪŗĪµĻ…Ī¼Ī­Ī½Ļ‰Ī½ ĪµĻ€Ī¹Ļ„Ī±Ļ‡Ļ…Ī½Ļ„ĻŽĪ½ Ļ…Ī»Ī¹ĪŗĪæĻ ĻƒĪµ ĪµĻ„ĪµĻĪæĪ³ĪµĪ½Ī® ĻƒĻ…ĻƒĻ„Ī®Ī¼Ī±Ļ„Ī±-ĻƒĪµ-ĻˆĪ·Ļ†ĪÆĪ“Ī± ĪŗĪ±ĪøĻŽĻ‚ ĪŗĪ±Ī¹ Ī“ĪÆĪŗĻ„Ļ…Ī±-ĻƒĪµ-ĻˆĪ·Ļ†ĪÆĪ“Ī±. Ī Ī±ĻĪæĻ…ĻƒĪ¹Ī¬Ī¶ĪµĻ„Ī±Ī¹ ĪŗĪ±Ļ„Ī¬Ī»Ī»Ī·Ī»Ī· Ī¼ĪµĪøĪæĪ“ĪæĪ»ĪæĪ³ĪÆĪ± ĻƒĻ…Ī½-ĻƒĻ‡ĪµĪ“ĪÆĪ±ĻƒĪ·Ļ‚ Ļ„Ļ‰Ī½ ĪµĻ€Ī¹Ļ„Ī±Ļ‡Ļ…Ī½Ļ„ĻŽĪ½ Ļ…Ī»Ī¹ĪŗĪæĻ ĪŗĪ±Ī¹ Ļ„ĪæĻ… Ī»ĪæĪ³Ī¹ĻƒĪ¼Ī¹ĪŗĪæĻ Ļ€ĻĪæĪŗĪµĪ¹Ī¼Ī­Ī½ĪæĻ… Ī½Ī± Ī±Ļ€ĪæĻ†Ī±ĻƒĪ¹ĻƒĪøĪµĪÆ Ī· ĪŗĪ±Ļ„Ī±Ī½ĪæĪ¼Ī® Ļ„Ļ‰Ī½ ĪµĻĪ³Ī±ĻƒĪ¹ĻŽĪ½ ĻƒĻ„ĪæĻ…Ļ‚ Ī“Ī¹Ī±ĪøĪ­ĻƒĪ¹Ī¼ĪæĻ…Ļ‚ Ļ€ĻŒĻĪæĻ…Ļ‚ Ļ„ĪæĻ… ĻƒĻ…ĻƒĻ„Ī®Ī¼Ī±Ļ„ĪæĻ‚/Ī“Ī¹ĪŗĻ„ĻĪæĻ…. Ī¤Īæ Ī¼ĪµĪøĪæĪ“ĪæĪ»ĪæĪ³Ī¹ĪŗĻŒ Ļ€Ī»Ī±ĪÆĻƒĪ¹Īæ Ļ€ĻĪæĪ²Ī»Ī­Ļ€ĪµĪ¹ Ļ„Ī·Ī½ Ļ…Ī»ĪæĻ€ĪæĪÆĪ·ĻƒĪ· Ļ„Ļ‰Ī½ ĪµĻ€Ī¹Ļ„Ī±Ļ‡Ļ…Ī½Ļ„ĻŽĪ½ ĪµĪÆĻ„Īµ Ī¼Īµ ĻƒĻ…Ī¼Ī²Ī±Ļ„Ī¹ĪŗĪ­Ļ‚ Ī¼ĪµĪøĻŒĪ“ĪæĻ…Ļ‚ Ļ€ĻĪæĪ³ĻĪ±Ī¼Ī¼Ī±Ļ„Ī¹ĻƒĪ¼ĪæĻ ĻƒĪµ Ī³Ī»ĻŽĻƒĻƒĪ± Ļ€ĪµĻĪ¹Ī³ĻĪ±Ļ†Ī®Ļ‚ Ļ…Ī»Ī¹ĪŗĪæĻ ĪµĪÆĻ„Īµ Ī¼Īµ Ī±Ļ†Ī±Ī¹ĻĪµĻ„Ī¹ĪŗĻŒ Ļ€ĻĪæĪ³ĻĪ±Ī¼Ī¼Ī±Ļ„Ī¹ĻƒĻ„Ī¹ĪŗĻŒ Ī¼ĪæĪ½Ļ„Ī­Ī»Īæ Ī¼Īµ Ļ„Ī· Ļ‡ĻĪ®ĻƒĪ· Ļ„ĪµĻ‡Ī½Ī¹ĪŗĻŽĪ½ Ļ…ĻˆĪ·Ī»ĪæĻ ĪµĻ€Ī¹Ļ€Ī­Ī“ĪæĻ… ĻƒĻĪ½ĪøĪµĻƒĪ·Ļ‚. Ī£Īµ ĪŗĪ¬ĪøĪµ Ļ€ĪµĻĪÆĻ€Ļ„Ļ‰ĻƒĪ·, Ī“ĪÆĪ“ĪµĻ„Ī±Ī¹ Ī· Ī“Ļ…Ī½Ī±Ļ„ĻŒĻ„Ī·Ļ„Ī± ĻƒĻ„Īæ ĻƒĻ‡ĪµĪ“Ī¹Ī±ĻƒĻ„Ī® Ī³Ī¹Ī± Ī²ĪµĪ»Ļ„Ī¹ĻƒĻ„ĪæĻ€ĪæĪÆĪ·ĻƒĪ· ĻƒĻ…ĻƒĻ„Ī·Ī¼Ī¹ĪŗĻŽĪ½ Ī¼ĪµĻ„ĻĪ¹ĪŗĻŽĪ½, ĻŒĻ€Ļ‰Ļ‚ Ī· Ļ„Ī±Ļ‡ĻĻ„Ī·Ļ„Ī± ĪµĻ€ĪµĪ¾ĪµĻĪ³Ī±ĻƒĪÆĪ±Ļ‚, Ī· ĻĻ…ĪøĪ¼Ī±Ļ€ĻŒĪ“ĪæĻƒĪ·, Ī· Ī±Ī¾Ī¹ĪæĻ€Ī¹ĻƒĻ„ĪÆĪ±, Ī· ĪŗĪ±Ļ„Ī±Ī½Ī¬Ī»Ļ‰ĻƒĪ· ĪµĪ½Ī­ĻĪ³ĪµĪ¹Ī±Ļ‚ ĪŗĪ±Ī¹ Ī· ĪµĻ€Ī¹Ļ†Ī¬Ī½ĪµĪ¹Ī± Ļ€Ļ…ĻĪ¹Ļ„ĪÆĪæĻ… Ļ„ĪæĻ… ĻƒĻ‡ĪµĪ“Ī¹Ī±ĻƒĪ¼ĪæĻ. Ī¤Ī­Ī»ĪæĻ‚, Ļ€ĻĪæĪŗĪµĪ¹Ī¼Ī­Ī½ĪæĻ… Ī½Ī± Ī±Ī½Ļ„Ī¹Ī¼ĪµĻ„Ļ‰Ļ€Ī¹ĻƒĪøĪµĪÆ Ī· Ī±Ļ…Ī¾Ī·Ī¼Ī­Ī½Ī· Ļ€ĪæĪ»Ļ…Ļ€Ī»ĪæĪŗĻŒĻ„Ī·Ļ„Ī± ĻƒĻ„Ī± ĻƒĻ‡ĪµĪ“Ī¹Ī±ĻƒĻ„Ī¹ĪŗĪ¬ ĪµĻĪ³Ī±Ī»ĪµĪÆĪ± ĪµĻ€Ī±Ī½Ī±Ī“Ī¹Ī±Ī¼ĪæĻĻ†ĪæĻĪ¼ĪµĪ½Ļ‰Ī½ ĻƒĻ…ĻƒĻ„Ī·Ī¼Ī¬Ļ„Ļ‰Ī½, Ļ€ĻĪæĻ„ĪµĪÆĪ½ĪæĪ½Ļ„Ī±Ī¹ Ī½Ī­ĪæĪ¹ ĪµĪ¾ĪµĪ»Ī¹ĪŗĻ„Ī¹ĪŗĪæĪÆ Ī±Ī»Ī³ĻŒĻĪ¹ĪøĪ¼ĪæĪ¹ Ļ€ĪæĪ»Ļ…ĪŗĻĪ¹Ļ„Ī·ĻĪ¹Ī±ĪŗĪ®Ļ‚ Ī²ĪµĪ»Ļ„Ī¹ĻƒĻ„ĪæĻ€ĪæĪÆĪ·ĻƒĪ·Ļ‚, ĪæĪ¹ ĪæĻ€ĪæĪÆĪæĪ¹ ĪµĪŗĪ¼ĪµĻ„Ī±Ī»Ī»ĪµĻ…ĻŒĪ¼ĪµĪ½ĪæĪ¹ Ļ„ĪæĻ…Ļ‚ ĻƒĻĪ³Ļ‡ĻĪæĪ½ĪæĻ…Ļ‚ Ļ€ĪæĪ»Ļ…Ļ€ĻĻĪ·Ī½ĪæĻ…Ļ‚ ĪµĻ€ĪµĪ¾ĪµĻĪ³Ī±ĻƒĻ„Ī­Ļ‚ ĪŗĪ±Ī¹ Ļ„Ī·Ī½ Ī±Ī“ĻĪæĪ¼ĪµĻĪ® Ļ†ĻĻƒĪ· Ļ„Ļ‰Ī½ Ļ€ĪæĪ»Ļ…Ī½Ī·Ī¼Ī±Ļ„Ī¹ĪŗĻŽĪ½ Ļ€ĪµĻĪ¹Ī²Ī±Ī»Ī»ĻŒĪ½Ļ„Ļ‰Ī½ Ļ€ĻĪæĪ³ĻĪ±Ī¼Ī¼Ī±Ļ„Ī¹ĻƒĪ¼ĪæĻ (Ļ€.Ļ‡. OpenMP), Ī¼ĪµĪ¹ĻŽĪ½ĪæĻ…Ī½ Ļ„Īæ Ļ‡ĻĻŒĪ½Īæ ĪµĻ€ĪÆĪ»Ļ…ĻƒĪ·Ļ‚ Ļ„ĪæĻ… Ļ€ĻĪæĪ²Ī»Ī®Ī¼Ī±Ļ„ĪæĻ‚ Ļ„Ī·Ļ‚ Ļ„ĪæĻ€ĪæĪøĪ­Ļ„Ī·ĻƒĪ·Ļ‚ Ļ„Ļ‰Ī½ Ī»ĪæĪ³Ī¹ĪŗĻŽĪ½ Ļ€ĻŒĻĻ‰Ī½ ĻƒĪµ Ļ†Ļ…ĻƒĪ¹ĪŗĪæĻĻ‚,ĪµĪ½ĻŽ Ļ„Ī±Ļ…Ļ„ĻŒĻ‡ĻĪæĪ½Ī±, ĪæĪ¼Ī±Ī“ĪæĻ€ĪæĪ¹ĻŽĪ½Ļ„Ī±Ļ‚ Ļ„Ī¹Ļ‚ ĪµĻ†Ī±ĻĪ¼ĪæĪ³Ī­Ļ‚ Ī²Ī¬ĻƒĪ· Ļ„Ļ‰Ī½ ĪµĪ³Ī³ĪµĪ½ĻŽĪ½ Ļ‡Ī±ĻĪ±ĪŗĻ„Ī·ĻĪ¹ĻƒĻ„Ī¹ĪŗĻŽĪ½ Ļ„ĪæĻ…Ļ‚, Ī“Ī¹ĪµĻĪµĻ…Ī½ĪæĻĪ½ Ī±Ļ€ĪæĻ„ĪµĪ»ĪµĻƒĪ¼Ī±Ļ„Ī¹ĪŗĻŒĻ„ĪµĻĪ± Ļ„Īæ Ļ‡ĻŽĻĪæ ĻƒĻ‡ĪµĪ“ĪÆĪ±ĻƒĪ·Ļ‚.Ī— Ī±Ļ€ĪæĪ“ĪæĻ„Ī¹ĪŗĻŒĻ„Ī·Ļ„Ī¬ Ļ„Ļ‰Ī½ Ļ€ĻĪæĻ„ĪµĪ¹Ī½ĻŒĪ¼ĪµĪ½Ļ‰Ī½ Ī±ĻĻ‡Ī¹Ļ„ĪµĪŗĻ„ĪæĪ½Ī¹ĪŗĻŽĪ½ Ļ€ĻĪæĻ„ĻĻ€Ļ‰Ī½ ĪŗĪ±Ī¹ Ī¼ĪµĪøĪæĪ“ĪæĪ»ĪæĪ³Ī¹ĻŽĪ½ ĪµĻ€Ī±Ī»Ī·ĪøĪµĻĻ„Ī·ĪŗĪµ ĻƒĪµ ĻƒĻ‡Ī­ĻƒĪ· Ī¼Īµ Ļ„Ī¹Ļ‚ Ļ…Ļ†Ī¹ĻƒĻ„Ī¬Ī¼ĪµĪ½ĪµĻ‚ Ī»ĻĻƒĪµĪ¹Ļ‚ Ī±Ī¹Ļ‡Ī¼Ī®Ļ‚ Ļ„ĻŒĻƒĪæ ĻƒĪµ Ī±Ļ…Ļ„ĪæĻ„ĪµĪ»Ī®Ļ‚ ĪµĻ†Ī±ĻĪ¼ĪæĪ³Ī­Ļ‚, ĻŒĻ€Ļ‰Ļ‚ Ī· ĻˆĪ·Ļ†Ī¹Ī±ĪŗĪ® ĪµĻ€ĪµĪ¾ĪµĻĪ³Ī±ĻƒĪÆĪ± ĻƒĪ®Ī¼Ī±Ļ„ĪæĻ‚, Ļ„Ī± Ļ€ĪæĪ»Ļ…Ī¼Ī­ĻƒĪ± ĪŗĪ±Ī¹ Ļ„Ī± Ļ€ĻĪæĪ²Ī»Ī®Ī¼Ī±Ļ„Ī± Ī±ĻĪ¹ĪøĪ¼Ī·Ļ„Ī¹ĪŗĪ®Ļ‚ Ļ€ĪæĪ»Ļ…Ļ€Ī»ĪæĪŗĻŒĻ„Ī·Ļ„Ī±Ļ‚, ĪŗĪ±ĪøĻŽĻ‚ ĪŗĪ±Ī¹ ĻƒĪµ ĻƒĻ…ĻƒĻ„Ī·Ī¼Ī¹ĪŗĪ¬ ĪµĻ„ĪµĻĪæĪ³ĪµĪ½Ī® Ļ€ĪµĻĪ¹Ī²Ī¬Ī»Ī»ĪæĪ½Ļ„Ī±, ĻŒĻ€Ļ‰Ļ‚ Ī­Ī½Ī± ĻƒĻĻƒĻ„Ī·Ī¼Ī± ĻŒĻĪ±ĻƒĪ·Ļ‚ Ļ…Ļ€ĪæĪ»ĪæĪ³Ī¹ĻƒĻ„ĻŽĪ½ Ī³Ī¹Ī± Ī±Ļ…Ļ„ĻŒĪ½ĪæĪ¼Ī± Ī“Ī¹Ī±ĻƒĻ„Ī·Ī¼Ī¹ĪŗĪ¬ ĻĪæĪ¼Ļ€ĪæĻ„Ī¹ĪŗĪ¬ ĪæĻ‡Ī®Ī¼Ī±Ļ„Ī± ĪŗĪ±Ī¹ Ī­Ī½Ī± ĻƒĻĻƒĻ„Ī·Ī¼Ī± Ļ€ĪæĪ»Ī»Ī±Ļ€Ī»ĻŽĪ½ ĪµĻ€Ī¹Ļ„Ī±Ļ‡Ļ…Ī½Ļ„ĻŽĪ½ Ļ…Ī»Ī¹ĪŗĪæĻ Ī³Ī¹Ī± ĻƒĻ„Ī±ĪøĪ¼ĪæĻĻ‚ ĪµĻĪ³Ī±ĻƒĪÆĪ±Ļ‚ ĪŗĪ±Ī¹ ĪŗĪ­Ī½Ļ„ĻĪ± Ī“ĪµĪ“ĪæĪ¼Ī­Ī½Ļ‰Ī½, ĻƒĻ„ĪæĻ‡ĪµĻĪæĪ½Ļ„Ī±Ļ‚ ĪµĻ†Ī±ĻĪ¼ĪæĪ³Ī­Ļ‚ Ļ…ĻˆĪ·Ī»Ī®Ļ‚ Ļ…Ļ€ĪæĪ»ĪæĪ³Ī¹ĻƒĻ„Ī¹ĪŗĪ®Ļ‚ Ī±Ļ€ĻŒĪ“ĪæĻƒĪ·Ļ‚ (HPC). Ī¤Ī± Ī±Ļ€ĪæĻ„ĪµĪ»Ī­ĻƒĪ¼Ī±Ļ„Ī± ĪµĪ½Ī¹ĻƒĻ‡ĻĪæĻ…Ī½ Ļ„Ī·Ī½ Ļ€ĪµĻ€ĪæĪÆĪøĪ·ĻƒĪ· Ļ„ĪæĻ… Ī³ĻĪ¬Ļ†ĪæĪ½Ļ„Ī±, ĻŒĻ„Ī¹ Ī· Ļ€Ī±ĻĪæĻĻƒĪ± Ī“Ī¹Ī±Ļ„ĻĪ¹Ī²Ī® Ļ€Ī±ĻĪ­Ļ‡ĪµĪ¹ Ī±Ī½Ļ„Ī±Ī³Ļ‰Ī½Ī¹ĻƒĻ„Ī¹ĪŗĪ® Ļ„ĪµĻ‡Ī½ĪæĪ³Ī½Ļ‰ĻƒĪÆĪ± Ī³Ī¹Ī± Ļ„Ī·Ī½ Ī±Ī½Ļ„Ī¹Ī¼ĪµĻ„ĻŽĻ€Ī¹ĻƒĪ· Ļ„Ļ‰Ī½ Ļ€ĪæĪ»ĻĻ€Ī»ĪæĪŗĻ‰Ī½ ĻƒĻĪ³Ļ‡ĻĪæĪ½Ļ‰Ī½ ĪŗĪ±Ī¹ Ļ€ĻĪæĪ²Ī»ĪµĻ€ĻŒĪ¼ĪµĪ½Ī± Ī¼ĪµĪ»Ī»ĪæĪ½Ļ„Ī¹ĪŗĻŽĪ½ ĻƒĻ‡ĪµĪ“Ī¹Ī±ĻƒĻ„Ī¹ĪŗĻŽĪ½ Ļ€ĻĪæĪŗĪ»Ī®ĻƒĪµĻ‰Ī½

    Design and application of reconfigurable circuits and systems

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    Open Acces

    A Finite Domain Constraint Approach for Placement and Routing of Coarse-Grained Reconfigurable Architectures

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    Scheduling, placement, and routing are important steps in Very Large Scale Integration (VLSI) design. Researchers have developed numerous techniques to solve placement and routing problems. As the complexity of Application Specific Integrated Circuits (ASICs) increased over the past decades, so did the demand for improved place and route techniques. The primary objective of these place and route approaches has typically been wirelength minimization due to its impact on signal delay and design performance. With the advent of Field Programmable Gate Arrays (FPGAs), the same place and route techniques were applied to FPGA-based design. However, traditional place and route techniques may not work for Coarse-Grained Reconfigurable Architectures (CGRAs), which are reconfigurable devices offering wider path widths than FPGAs and more flexibility than ASICs, due to the differences in architecture and routing network. Further, the routing network of several types of CGRAs, including the Field Programmable Object Array (FPOA), has deterministic timing as compared to the routing fabric of most ASICs and FPGAs reported in the literature. This necessitates a fresh look at alternative approaches to place and route designs. This dissertation presents a finite domain constraint-based, delay-aware placement and routing methodology targeting an FPOA. The proposed methodology takes advantage of the deterministic routing network of CGRAs to perform a delay aware placement

    An Energy and Performance Exploration of Network-on-Chip Architectures

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    In this paper, we explore the designs of a circuit-switched router, a wormhole router, a quality-of-service (QoS) supporting virtual channel router and a speculative virtual channel router and accurately evaluate the energy-performance tradeoffs they offer. Power results from the designs placed and routed in a 90-nm CMOS process show that all the architectures dissipate significant idle state power. The additional energy required to route a packet through the router is then shown to be dominated by the data path. This leads to the key result that, if this trend continues, the use of more elaborate control can be justified and will not be immediately limited by the energy budget. A performance analysis also shows that dynamic resource allocation leads to the lowest network latencies, while static allocation may be used to meet QoS goals. Combining the power and performance figures then allows an energy-latency product to be calculated to judge the efficiency of each of the networks. The speculative virtual channel router was shown to have a very similar efficiency to the wormhole router, while providing a better performance, supporting its use for general purpose designs. Finally, area metrics are also presented to allow a comparison of implementation costs
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