フロアプラン指向高位合成手法とイジング計算機応用に関する研究

早大学位記番号:新7790早稲田大

Generating Posit-Based Accelerators With High-Level Synthesis

Recently, the posit number system has demonstrated a higher accuracy over standard floating-point arithmetic for many scientific applications. However, when it comes to implementing accelerators for these applications, the tool support for this arithmetic format is still missing, especially during the step. In this paper, we incorporate the posit data type into the high-level synthesis (HLS) design process, so that we can generate the implementation directly from a given behavioral specification, but using posit numbers instead of the classical floating-point notations. Our evaluations show that, even if posit-based circuits require more area than their floating-point counterparts, they offer higher accuracy when using the same bitwidth. For example, using posit arithmetic can reduce computation errors by about two orders of magnitude when compared to using standard floating-point numbers. Our approach also includes an alternative to mitigate the high overheads of the posits and broadening the potential use of this format. We also propose a hybrid scheme that uses posit numbers only in the private local memory, while the accelerator operates in the classic floating-point notation. This solution is useful when the designers want to optimize local memories and data transfers, but still use legacy high-level synthesis (HLS) tools that only support traditional floating-point notations

High level compilation for gate reconfigurable architectures

Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2001.Includes bibliographical references (p. 205-215).A continuing exponential increase in the number of programmable elements is turning management of gate-reconfigurable architectures as "glue logic" into an intractable problem; it is past time to raise this abstraction level. The physical hardware in gate-reconfigurable architectures is all low level - individual wires, bit-level functions, and single bit registers - hence one should look to the fetch-decode-execute machinery of traditional computers for higher level abstractions. Ordinary computers have machine-level architectural mechanisms that interpret instructions - instructions that are generated by a high-level compiler. Efficiently moving up to the next abstraction level requires leveraging these mechanisms without introducing the overhead of machine-level interpretation. In this dissertation, I solve this fundamental problem by specializing architectural mechanisms with respect to input programs. This solution is the key to efficient compilation of high-level programs to gate reconfigurable architectures. My approach to specialization includes several novel techniques. I develop, with others, extensive bitwidth analyses that apply to registers, pointers, and arrays. I use pointer analysis and memory disambiguation to target devices with blocks of embedded memory. My approach to memory parallelization generates a spatial hierarchy that enables easier-to-synthesize logic state machines with smaller circuits and no long wires.(cont.) My space-time scheduling approach integrates the techniques of high-level synthesis with the static routing concepts developed for single-chip multiprocessors. Using DeepC, a prototype compiler demonstrating my thesis, I compile a new benchmark suite to Xilinx Virtex FPGAs. Resulting performance is comparable to a custom MIPS processor, with smaller area (40 percent on average), higher evaluation speeds (2.4x), and lower energy (18x) and energy-delay (45x). Specialization of advanced mechanisms results in additional speedup, scaling with hardware area, at the expense of power. For comparison, I also target IBM's standard cell SA-27E process and the RAW microprocessor. Results include sensitivity analysis to the different mechanisms specialized and a grand comparison between alternate targets.by Jonathan William Babb.Ph.D

SEER: Super-Optimization Explorer for HLS using E-graph Rewriting with MLIR

High-level synthesis (HLS) is a process that automatically translates a software program in a high-level language into a low-level hardware description. However, the hardware designs produced by HLS tools still suffer from a significant performance gap compared to manual implementations. This is because the input HLS programs must still be written using hardware design principles. Existing techniques either leave the program source unchanged or perform a fixed sequence of source transformation passes, potentially missing opportunities to find the optimal design. We propose a super-optimization approach for HLS that automatically rewrites an arbitrary software program into efficient HLS code that can be used to generate an optimized hardware design. We developed a toolflow named SEER, based on the e-graph data structure, to efficiently explore equivalent implementations of a program at scale. SEER provides an extensible framework, orchestrating existing software compiler passes and hardware synthesis optimizers. Our work is the first attempt to exploit e-graph rewriting for large software compiler frameworks, such as MLIR. Across a set of open-source benchmarks, we show that SEER achieves up to 38x the performance within 1.4x the area of the original program. Via an Intel-provided case study, SEER demonstrates the potential to outperform manually optimized designs produced by hardware experts

Optimized Architectural Synthesis of Fixed-Point Datapaths

In this paper we address the time-constrained architectural synthesis of fixed-point DSP algorithms using FPGA devices. Optimized fixed-point implementations are obtained by means of considering: (i) a multiple wordlength approach; (ii) a complete datapath formed of wordlength-wise resources (i.e. functional units, multiplexers and registers); and, (iii) a novel resource usage metric that enables the wise distribution of logic fabric and embedded DSP resources. The paper shows: (i) the benefits of applying a multiple wordlength approach to the implementation of fixedpoint datapaths; and (ii) the benefits of a wise use of embedded FPGA resources. The proposed metric enables area improvements up to 54% and the use of a complete fixed-point datapath leads to improvements up to 35%

Χρήση μοντέλου παράλληλου προγραμματισμού για σύνθεση αρχιτεκτονικών

The problem of automatically generating hardware modules from high level application representations has been at the forefront of EDA research during the last few years. In this Dissertation we introduce a methodology to automatically synthesize hardware accelerators from OpenCL applications. OpenCL is a recent industry supported standard for writing programs that execute on multicore platforms and accelerators such as GPUs. Our methodology maps OpenCL kernels into hardware accelerators based on architectural templates that explicitly decouple computation from memory communication whenever this is possible. The templates can be tuned to provide a wide repertoire of accelerators that meet user performance requirements and FPGA device characteristics. Furthermore a set of high- and low-level compiler optimizations is applied to generate optimized accelerators. Our experimental evaluation shows that the generated accelerators are tuned efficiently to match the applications memory access pattern and computational complexity and to achieve user performance requirements. An important objective of our tool is to expand the FPGA development user base to software engineers thereby expanding the scope of FPGAs beyond the realm of hardware design.To πρόβλημα της αυτόματης δημιουργίας μονάδων υλικό από παραστάσεις υψηλού επιπέδου εφαρμογής είναι στην πρώτη γραμμή της EDA έρευνας κατά τη διάρκεια των τελευταίων ετών. Σε αυτή την διατριβή παρουσιάζουμε μια μεθοδολογία για τη αυτόματη σύνθεση επιταχυντές υλικού από εφαρμογές OpenCL. OpenCL είναι ένα πρόσφατο πρότυπο για τη σύνταξη των προγραμμάτων που εκτελούνται σε πλατφόρμες πολλαπλών πυρήνων και επιταχυντές όπως GPUs. Η μεθοδολογία μας μετατρέπει προγράμματα OpenCL σε επιταχυντές υλικού με βάση αρχιτεκτονικά πρότυπα που ρητά αποσυνδέει τους υπολογισμούς από την μεταφορά δεδομένων από/προς την μνήμη όποτε αυτό είναι δυνατό. Τα πρότυπα μπορούν να συντονιστούν ώστε να παρέχουν ένα ευρύ ρεπερτόριο από επιταχυντές που πληρούν τις απαιτήσεις απόδοσης των χρηστών και τα χαρακτηριστικά της συσκευής FPGA. Επιπλέον ένα σύνολο υψηλής και χαμηλής στάθμης βελτιστοποιήσεις μεταγλωττιστή εφαρμόζεται για να παράγει βελτιστοποιημένα επιταχυντές. Η πειραματική αξιολόγηση δείχνει ότι οι επιταχυντές που δημιουργούνται αποτελεσματικά συντονισμένοι για να ταιριάζει με το μοτίβο πρόσβασης στην μνήμη κάθε εφαρμογής και την υπολογιστική πολυπλοκότητα και να επιτύχουν τις απαιτήσεις απόδοσης των χρηστών. Ένας σημαντικός στόχος του εργαλείου μας είναι η επέκταση της βάσης χρηστών πλατφόρμες FPGA για μηχανικούς λογισμικού ώστε να γίνει ανάπτυξη FPGA συστήματα από μηχανικούς λογισμικού χωρίς την ανάγκη για εμπειρία σχεδιασμού υλικού

A Survey and Evaluation of FPGA High-Level Synthesis Tools

High-level synthesis (HLS) is increasingly popular for the design of high-performance and energy-efficient heterogeneous systems, shortening time-to-market and addressing today's system complexity. HLS allows designers to work at a higher-level of abstraction by using a software program to specify the hardware functionality. Additionally, HLS is particularly interesting for designing field-programmable gate array circuits, where hardware implementations can be easily refined and replaced in the target device. Recent years have seen much activity in the HLS research community, with a plethora of HLS tool offerings, from both industry and academia. All these tools may have different input languages, perform different internal optimizations, and produce results of different quality, even for the very same input description. Hence, it is challenging to compare their performance and understand which is the best for the hardware to be implemented. We present a comprehensive analysis of recent HLS tools, as well as overview the areas of active interest in the HLS research community. We also present a first-published methodology to evaluate different HLS tools. We use our methodology to compare one commercial and three academic tools on a common set of C benchmarks, aiming at performing an in-depth evaluation in terms of performance and the use of resources

Accuracy-Guaranteed Fixed-Point Optimization in Hardware Synthesis and Processor Customization

RÉSUMÉ De nos jours, le calcul avec des nombres fractionnaires est essentiel dans une vaste gamme d’applications de traitement de signal et d’image. Pour le calcul numérique, un nombre fractionnaire peut être représenté à l’aide de l’arithmétique en virgule fixe ou en virgule flottante. L’arithmétique en virgule fixe est largement considérée préférable à celle en virgule flottante pour les architectures matérielles dédiées en raison de sa plus faible complexité d’implémentation. Dans la mise en œuvre du matériel, la largeur de mot attribuée à différents signaux a un impact significatif sur des métriques telles que les ressources (transistors), la vitesse et la consommation d'énergie. L'optimisation de longueur de mot (WLO) en virgule fixe est un domaine de recherche bien connu qui vise à optimiser les chemins de données par l'ajustement des longueurs de mots attribuées aux signaux. Un nombre en virgule fixe est composé d’une partie entière et d’une partie fractionnaire. Il y a une limite inférieure au nombre de bits alloués à la partie entière, de façon à prévenir les débordements pour chaque signal. Cette limite dépend de la gamme de valeurs que peut prendre le signal. Le nombre de bits de la partie fractionnaire, quant à lui, détermine la taille de l'erreur de précision finie qui est introduite dans les calculs. Il existe un compromis entre la précision et l'efficacité du matériel dans la sélection du nombre de bits de la partie fractionnaire. Le processus d'attribution du nombre de bits de la partie fractionnaire comporte deux procédures importantes: la modélisation de l'erreur de quantification et la sélection de la taille de la partie fractionnaire. Les travaux existants sur la WLO ont porté sur des circuits spécialisés comme plate-forme cible. Dans cette thèse, nous introduisons de nouvelles méthodologies, techniques et algorithmes pour améliorer l’implémentation de calculs en virgule fixe dans des circuits et processeurs spécialisés. La thèse propose une approche améliorée de modélisation d’erreur, basée sur l'arithmétique affine, qui aborde certains problèmes des méthodes existantes et améliore leur précision. La thèse introduit également une technique d'accélération et deux algorithmes semi-analytiques pour la sélection de la largeur de la partie fractionnaire pour la conception de circuits spécialisés. Alors que le premier algorithme suit une stratégie de recherche progressive, le second utilise une méthode de recherche en forme d'arbre pour l'optimisation de la largeur fractionnaire. Les algorithmes offrent deux options de compromis entre la complexité de calcul et le coût résultant. Le premier algorithme a une complexité polynomiale et obtient des résultats comparables avec des approches heuristiques existantes. Le second algorithme a une complexité exponentielle, mais il donne des résultats quasi-optimaux par rapport à une recherche exhaustive. Cette thèse propose également une méthode pour combiner l'optimisation de la longueur des mots dans un contexte de conception de processeurs configurables. La largeur et la profondeur des blocs de registres et l'architecture des unités fonctionnelles sont les principaux objectifs ciblés par cette optimisation. Un nouvel algorithme d'optimisation a été développé pour trouver la meilleure combinaison de longueurs de mots et d'autres paramètres configurables dans la méthode proposée. Les exigences de précision, définies comme l'erreur pire cas, doivent être respectées par toute solution. Pour faciliter l'évaluation et la mise en œuvre des solutions retenues, un nouvel environnement de conception de processeur a également été développé. Cet environnement, qui est appelé PolyCuSP, supporte une large gamme de paramètres, y compris ceux qui sont nécessaires pour évaluer les solutions proposées par l'algorithme d'optimisation. L’environnement PolyCuSP soutient l’exploration rapide de l'espace de solution et la capacité de modéliser différents jeux d'instructions pour permettre des comparaisons efficaces.----------ABSTRACT Fixed-point arithmetic is broadly preferred to floating-point in hardware development due to the reduced hardware complexity of fixed-point circuits. In hardware implementation, the bitwidth allocated to the data elements has significant impact on efficiency metrics for the circuits including area usage, speed and power consumption. Fixed-point word-length optimization (WLO) is a well-known research area. It aims to optimize fixed-point computational circuits through the adjustment of the allocated bitwidths of their internal and output signals. A fixed-point number is composed of an integer part and a fractional part. There is a minimum number of bits for the integer part that guarantees overflow and underflow avoidance in each signal. This value depends on the range of values that the signal may take. The fractional word-length determines the amount of finite-precision error that is introduced in the computations. There is a trade-off between accuracy and hardware cost in fractional word-length selection. The process of allocating the fractional word-length requires two important procedures: finite-precision error modeling and fractional word-length selection. Existing works on WLO have focused on hardwired circuits as the target implementation platform. In this thesis, we introduce new methodologies, techniques and algorithms to improve the hardware realization of fixed-point computations in hardwired circuits and customizable processors. The thesis proposes an enhanced error modeling approach based on affine arithmetic that addresses some shortcomings of the existing methods and improves their accuracy. The thesis also introduces an acceleration technique and two semi-analytical fractional bitwidth selection algorithms for WLO in hardwired circuit design. While the first algorithm follows a progressive search strategy, the second one uses a tree-shaped search method for fractional width optimization. The algorithms offer two different time-complexity/cost efficiency trade-off options. The first algorithm has polynomial complexity and achieves comparable results with existing heuristic approaches. The second algorithm has exponential complexity but achieves near-optimal results compared to an exhaustive search. The thesis further proposes a method to combine word-length optimization with application-specific processor customization. The supported datatype word-length, the size of register-files and the architecture of the functional units are the main target objectives to be optimized. A new optimization algorithm is developed to find the best combination of word-length and other customizable parameters in the proposed method. Accuracy requirements, defined as the worst-case error bound, are the key consideration that must be met by any solution. To facilitate evaluation and implementation of the selected solutions, a new processor design environment was developed. This environment, which is called PolyCuSP, supports necessary customization flexibility to realize and evaluate the solutions given by the optimization algorithm. PolyCuSP supports rapid design space exploration and capability to model different instruction-set architectures to enable effective compari