SIMD@OpenMP : a programming model approach to leverage SIMD features

SIMD instruction sets are a key feature in current general purpose and high performance architectures. SIMD instructions apply in parallel the same operation to a group of data, commonly known as vector. A single SIMD/vector instruction can, thus, replace a sequence of scalar instructions. Consequently, the number of instructions can be greatly reduced leading to improved execution times. However, SIMD instructions are not widely exploited by the vast majority of programmers. In many cases, taking advantage of these instructions relies on the compiler. Nevertheless, compilers struggle with the automatic vectorization of codes. Advanced programmers are then compelled to exploit SIMD units by hand, using low-level hardware-specific intrinsics. This approach is cumbersome, error prone and not portable across SIMD architectures. This thesis targets OpenMP to tackle the underuse of SIMD instructions from three main areas of the programming model: language constructions, compiler code optimizations and runtime algorithms. We choose the Intel Xeon Phi coprocessor (Knights Corner) and its 512-bit SIMD instruction set for our evaluation process. We make four contributions aimed at improving the exploitation of SIMD instructions in this scope. Our first contribution describes a compiler vectorization infrastructure suitable for OpenMP. This infrastructure targets for-loops and whole functions. We define a set of attributes for expressions that determine how the code is vectorized. Our vectorization infrastructure also implements support for several advanced vector features. This infrastructure is proven to be effective in the vectorization of complex codes and it is the basis upon which we build the following two contributions. The second contribution introduces a proposal to extend OpenMP 3.1 with SIMD parallelism. Essential parts of this work have become key features of the SIMD proposal included in OpenMP 4.0. We define the "simd" and "simd for" directives that allow programmers to describe SIMD parallelism of loops and whole functions. Furthermore, we propose a set of optional clauses that leads the compiler to generate a more efficient vector code. These SIMD extensions improve the programming efficiency when exploiting SIMD resources. Our evaluation on the Intel Xeon Phi coprocessor shows that our SIMD proposal allows the compiler to efficiently vectorize codes poorly or not vectorized automatically with the Intel C/C++ compiler. In the third contribution, we propose a vector code optimization that enhances overlapped vector loads. These vector loads redundantly read from memory scalar elements already loaded by other vector loads. Our vector code optimization improves the memory usage of these accesses by means of building a vector register cache and exploiting register-to-register instructions. Our proposal also includes a new clause (overlap) in the context of the SIMD extensions for OpenMP of our first contribution. This new clause allows enabling, disabling and tuning this optimization on demand. The last contribution tackles the exploitation of SIMD instructions in the OpenMP barrier and reduction primitives. We propose a new combined barrier and reduction tree scheme specifically designed to make the most of SIMD instructions. Our barrier algorithm takes advantage of simultaneous multi-threading technology (SMT) and it utilizes SIMD memory instructions in the synchronization process. The four contributions of this thesis are an important step in the direction of a more common and generalized use of SIMD instructions. Our work is having an outstanding impact on the whole OpenMP community, ranging from users of the programming model to compiler and runtime implementations. Our proposals in the context of OpenMP improves the programmability of the programming model, the overhead of runtime services and the execution time of applications by means of a better use of SIMD.Los juegos de instrucciones SIMD son un componente clave en las arquitecturas de propósito general y de alto rendimiento actuales. Estas instrucciones aplican en paralelo la misma operación a un conjunto de datos, conocido como vector. Una instrucción SIMD/vectorial puede sustituir una secuencia de instrucciones escalares. Así, el número de instrucciones puede ser reducido considerablemente, dando lugar a mejores tiempos de ejecución. No obstante, las instrucciones SIMD no son explotadas ampliamente por la mayoría de programadores. En general, beneficiarse de estas instrucciones depende del compilador. Sin embargo, los compiladores tienen dificultades con la vectorización automática de códigos por lo que los programadores avanzados se ven obligados a explotar las unidades SIMD manualmente, empleando intrínsecas de bajo nivel específicas del hardware. Esta aproximación es costosa, propensa a errores y no portable entre arquitecturas. Esta tesis se centra en el modelo de programación OpenMP para abordar el poco uso de las instrucciones SIMD desde tres áreas: construcciones del lenguaje, optimizaciones de código del compilador y algoritmos del runtime. Hemos escogido el coprocesador Intel Xeon Phi (Knights Corner) y su juego de instrucciones SIMD de 512 bits para nuestra evaluación. Realizamos cuatro contribuciones para mejorar la explotación de las instrucciones SIMD en este ámbito. Nuestra primera contribución describe una infraestructura de vectorización de compilador adecuada para OpenMP. Esta infraestructura tiene como objetivo la vectorización de bucles y funciones. Para ello definimos un conjunto de atributos que determina como se vectoriza el código. Nuestra evaluación demuestra la efectividad de esta infraestructura en la vectorización de códigos complejos. Esta infraestructura es la base de las dos propuestas siguientes. En la segunda contribución proponemos una extensión SIMD para de OpenMP 3.1. Partes esenciales de este trabajo se han convertido en características clave de la propuesta sobre SIMD incluida en OpenMP 4.0. Definimos las directivas ‘simd’ y ‘simd for’ que permiten a los programadores describir paralelismo SIMD de bucles y funciones. Además, proponemos un conjunto de cláusulas opcionales que permiten que el compilador genere código vectorial más eficiente. Nuestra evaluación muestra que nuestra propuesta SIMD permite al compilador vectorizar eficientemente códigos pobremente o no vectorizados automáticamente con el compilador Intel C/C++

Vectorization system for unstructured codes with a Data-parallel Compiler IR

With Dennard Scaling coming to an end, Single Instruction Multiple Data (SIMD) offers itself as a way to improve the compute throughput of CPUs. One fundamental technique in SIMD code generators is the vectorization of data-parallel code regions. This has applications in outer-loop vectorization, whole-function vectorization and vectorization of explicitly data-parallel languages. This thesis makes contributions to the reliable vectorization of data-parallel code regions with unstructured, reducible control flow. Reducibility is the case in practice where all control-flow loops have exactly one entry point. We present P-LLVM, a novel, full-featured, intermediate representation for vectorizers that provides a semantics for the code region at every stage of the vectorization pipeline. Partial control-flow linearization is a novel partial if-conversion scheme, an essential technique to vectorize divergent control flow. Different to prior techniques, partial linearization has linear running time, does not insert additional branches or blocks and gives proved guarantees on the control flow retained. Divergence of control induces value divergence at join points in the control-flow graph (CFG). We present a novel control-divergence analysis for directed acyclic graphs with optimal running time and prove that it is correct and precise under common static assumptions. We extend this technique to obtain a quadratic-time, control-divergence analysis for arbitrary reducible CFGs. For this analysis, we show on a range of realistic examples how earlier approaches are either less precise or incorrect. We present a feature-complete divergence analysis for P-LLVM programs. The analysis is the first to analyze stack-allocated objects in an unstructured control setting. Finally, we generalize single-dimensional vectorization of outer loops to multi-dimensional tensorization of loop nests. SIMD targets benefit from tensorization through more opportunities for re-use of loaded values and more efficient memory access behavior. The techniques were implemented in the Region Vectorizer (RV) for vectorization and TensorRV for loop-nest tensorization. Our evaluation validates that the general-purpose RV vectorization system matches the performance of more specialized approaches. RV performs on par with the ISPC compiler, which only supports its structured domain-specific language, on a range of tree traversal codes with complex control flow. RV is able to outperform the loop vectorizers of state-of-the-art compilers, as we show for the SPEC2017 nab_s benchmark and the XSBench proxy application.Mit dem Ausreizen des Dennard Scalings erreichen die gewohnten Zuwächse in der skalaren Rechenleistung zusehends ihr Ende. Moderne Prozessoren setzen verstärkt auf parallele Berechnung, um den Rechendurchsatz zu erhöhen. Hierbei spielen SIMD Instruktionen (Single Instruction Multiple Data), die eine Operation gleichzeitig auf mehrere Eingaben anwenden, eine zentrale Rolle. Eine fundamentale Technik, um SIMD Programmcode zu erzeugen, ist der Einsatz datenparalleler Vektorisierung. Diese unterliegt populären Verfahren, wie der Vektorisierung äußerer Schleifen, der Vektorisierung gesamter Funktionen bis hin zu explizit datenparallelen Programmiersprachen. Der Beitrag der vorliegenden Arbeit besteht darin, ein zuverlässiges Vektorisierungssystem für datenparallelen Code mit reduziblem Steuerfluss zu entwickeln. Diese Anforderung ist für alle Steuerflussgraphen erfüllt, deren Schleifen nur einen Eingang haben, was in der Praxis der Fall ist. Wir präsentieren P-LLVM, eine ausdrucksstarke Zwischendarstellung für Vektorisierer, welche dem Programm in jedem Stadium der Transformation von datenparallelem Code zu SIMD Code eine definierte Semantik verleiht. Partielle Steuerfluss-Linearisierung ist ein neuer Algorithmus zur If-Conversion, welcher Sprünge erhalten kann. Anders als existierende Verfahren hat Partielle Linearisierung eine lineare Laufzeit und fügt keine neuen Sprünge oder Blöcke ein. Wir zeigen Kriterien, unter denen der Algorithmus Steuerfluss erhält, und beweisen diese. Steuerflussdivergenz induziert Divergenz an Punkten zusammenfließenden Steuerflusses. Wir stellen eine neue Steuerflussdivergenzanalyse für azyklische Graphen mit optimaler Laufzeit vor und beweisen deren Korrektheit und Präzision. Wir verallgemeinern die Technik zu einem Algorithmus mit quadratischer Laufzeit für beliebiege, reduzible Steuerflussgraphen. Eine Studie auf realistischen Beispielgraphen zeigt, dass vergleichbare Techniken entweder weniger präsize sind oder falsche Ergebnisse liefern. Ebenfalls präsentieren wir eine Divergenzanalyse für P-LLVM Programme. Diese Analyse ist die erste Divergenzanalyse, welche Divergenz in stapelallokierten Objekten unter unstrukturiertem Steuerfluss analysiert. Schließlich generalisieren wir die eindimensionale Vektorisierung von äußeren Schleifen zur multidimensionalen Tensorisierung von Schleifennestern. Tensorisierung eröffnet für SIMD Prozessoren mehr Möglichkeiten, bereits geladene Werte wiederzuverwenden und das Speicherzugriffsverhalten des Programms zu optimieren, als dies mit Vektorisierung der Fall ist. Die vorgestellten Techniken wurden in den Region Vectorizer (RV) für Vektorisierung und TensorRV für die Tensorisierung von Schleifennestern implementiert. Wir zeigen auf einer Reihe von steuerflusslastigen Programmen für die Traversierung von Baumdatenstrukturen, dass RV das gleiche Niveau erreicht wie der ISPC Compiler, welcher nur seine strukturierte Eingabesprache verarbeiten kann. RV kann schnellere SIMD-Programme erzeugen als die Schleifenvektorisierer in aktuellen Industriecompilern. Dies demonstrieren wir mit dem nab_s benchmark aus der SPEC2017 Benchmarksuite und der XSBench Proxy-Anwendung

Language Support for Programming High-Performance Code

Nowadays, the computing landscape is becoming increasingly heterogeneous and this trend is currently showing no signs of turning around. In particular, hardware becomes more and more specialized and exhibits different forms of parallelism. For performance-critical codes it is indispensable to address hardware-specific peculiarities. Because of the halting problem, however, it is unrealistic to assume that a program implemented in a general-purpose programming language can be fully automatically compiled to such specialized hardware while still delivering peak performance. One form of parallelism is single instruction, multiple data (SIMD). Part I of this thesis presents Sierra: an extension for C ++ that facilitates portable and effective SIMD programming. Part II discusses AnyDSL. This framework allows to embed a so-called domain-specific language (DSL) into a host language. On the one hand, a DSL offers the application developer a convenient interface; on the other hand, a DSL can perform domain-specific optimizations and effectively map DSL constructs to various architectures. In order to implement a DSL, one usually has to write or modify a compiler. With AnyDSL though, the DSL constructs are directly implemented in the host language while a partial evaluator removes any abstractions that are required in the implementation of the DSL.Die Rechnerlandschaft wird heutzutage immer heterogener und derzeit ist keine Trendwende in Sicht. Insbesondere wird die Hardware immer spezialisierter und weist verschiedene Formen der Parallelität auf. Für performante Programme ist es unabdingbar, hardwarespezifische Eigenheiten zu adressieren. Wegen des Halteproblems ist es allerdings unrealistisch anzunehmen, dass ein Programm, das in einer universell einsetzbaren Programmiersprache implementiert ist, vollautomatisch auf solche spezialisierte Hardware übersetzt werden kann und dabei noch Spitzenleistung erzielt. Eine Form der Parallelität ist „single instruction, multiple data (SIMD)“. Teil I dieser Arbeit stellt Sierra vor: eine Erweiterung für C++, die portable und effektive SIMD-Programmierung unterstützt. Teil II behandelt AnyDSL. Dieses Rahmenwerk ermöglicht es, eine sogenannte domänenspezifische Sprache (DSL) in eine Gastsprache einzubetten. Auf der einen Seite bietet eine DSL dem Anwendungsentwickler eine komfortable Schnittstelle; auf der anderen Seiten kann eine DSL domänenspezifische Optimierungen durchführen und DSL-Konstrukte effektiv auf verschiedene Architekturen abbilden. Um eine DSL zu implementieren, muss man gewöhnlich einen Compiler schreiben oder modifizieren. In AnyDSL werden die DSL-Konstrukte jedoch direkt in der Gastsprache implementiert und ein partieller Auswerter entfernt jegliche Abstraktionen, die in der Implementierung der DSL benötigt werden

Analyzing Granger causality in climate data with time series classification methods

Attribution studies in climate science aim for scientifically ascertaining the influence of climatic variations on natural or anthropogenic factors. Many of those studies adopt the concept of Granger causality to infer statistical cause-effect relationships, while utilizing traditional autoregressive models. In this article, we investigate the potential of state-of-the-art time series classification techniques to enhance causal inference in climate science. We conduct a comparative experimental study of different types of algorithms on a large test suite that comprises a unique collection of datasets from the area of climate-vegetation dynamics. The results indicate that specialized time series classification methods are able to improve existing inference procedures. Substantial differences are observed among the methods that were tested

Proceedings of the 22nd Conference on Formal Methods in Computer-Aided Design – FMCAD 2022

The Conference on Formal Methods in Computer-Aided Design (FMCAD) is an annual conference on the theory and applications of formal methods in hardware and system verification. FMCAD provides a leading forum to researchers in academia and industry for presenting and discussing groundbreaking methods, technologies, theoretical results, and tools for reasoning formally about computing systems. FMCAD covers formal aspects of computer-aided system design including verification, specification, synthesis, and testing

Proceedings of the 22nd Conference on Formal Methods in Computer-Aided Design – FMCAD 2022

The Conference on Formal Methods in Computer-Aided Design (FMCAD) is an annual conference on the theory and applications of formal methods in hardware and system verification. FMCAD provides a leading forum to researchers in academia and industry for presenting and discussing groundbreaking methods, technologies, theoretical results, and tools for reasoning formally about computing systems. FMCAD covers formal aspects of computer-aided system design including verification, specification, synthesis, and testing