Iterative Schedule Optimization for Parallelization in the Polyhedron Model

In high-performance computing, one primary objective is to exploit the performance that the given target hardware can deliver to the fullest. Compilers that have the ability to automatically optimize programs for a specific target hardware can be highly useful in this context. Iterative (or search-based) compilation requires little or no prior knowledge and can adapt more easily to concrete programs and target hardware than static cost models and heuristics. Thereby, iterative compilation helps in situations in which static heuristics do not reflect the combination of input program and target hardware well. Moreover, iterative compilation may enable the derivation of more accurate cost models and heuristics for optimizing compilers. In this context, the polyhedron model is of help as it provides not only a mathematical representation of programs but, more importantly, a uniform representation of complex sequences of program transformations by schedule functions. The latter facilitates the systematic exploration of the set of legal transformations of a given program. Early approaches to purely iterative schedule optimization in the polyhedron model do not limit their search to schedules that preserve program semantics and, thereby, suffer from the need to explore numbers of illegal schedules. More recent research ensures the legality of program transformations but presumes a sequential rather than a parallel execution of the transformed program. Other approaches do not perform a purely iterative optimization. We propose an approach to iterative schedule optimization for parallelization and tiling in the polyhedron model. Our approach targets loop programs that profit from data locality optimization and coarse-grained loop parallelization. The schedule search space can be explored either randomly or by means of a genetic algorithm. To determine a schedule's profitability, we rely primarily on measuring the transformed code's execution time. While benchmarking is accurate, it increases the time and resource consumption of program optimization tremendously and can even make it impractical. We address this limitation by proposing to learn surrogate models from schedules generated and evaluated in previous runs of the iterative optimization and to replace benchmarking by performance prediction to the extent possible. Our evaluation on the PolyBench 4.1 benchmark set reveals that, in a given setting, iterative schedule optimization yields significantly higher speedups in the execution of the program to be optimized. Surrogate performance models learned from training data that was generated during previous iterative optimizations can reduce the benchmarking effort without strongly impairing the optimization result. A prerequisite for this approach is a sufficient similarity between the training programs and the program to be optimized

Automatic OpenCL Task Adaptation for Heterogeneous Architectures

International audienceOpenCL defines a common parallel programming language for all devices, although writing tasks adapted to the devices, managing communication and load-balancing issues are left to the programmer. In this work, we propose a novel automatic compiler and runtime technique to execute single OpenCL kernels on heterogeneous multi-device architectures. The technique proposed is completely transparent to the user, does not require off-line training or a performance model. It handles communications and load-balancing issues, resulting from hardware heterogeneity, load imbalance within the kernel itself and load variations between repeated executions of the kernel, in an iterative computation. We present our results on benchmarks and on an N-body application over two platforms, a 12-core CPU with two different GPUs and a 16-core CPU with three homogeneous GPUs

Multi-tasking scheduling for heterogeneous systems

Heterogeneous platforms play an increasingly important role in modern computer systems. They combine high performance with low power consumption. From mobiles to supercomputers, we see an increasing number of computer systems that are heterogeneous. The most well-known heterogeneous system, CPU+GPU platforms have been widely used in recent years. As they become more mainstream, serving multiple tasks from multiple users is an emerging challenge. A good scheduler can greatly improve performance. However, indiscriminately allocating tasks based on availability leads to poor performance. As modern GPUs have a large number of hardware resources, most tasks cannot efficiently utilize all of them. Concurrent task execution on GPU is a promising solution, however, indiscriminately running tasks in parallel causes a slowdown. This thesis focuses on scheduling OpenCL kernels. A runtime framework is developed to determine where to schedule OpenCL kernels. It predicts the best-fit device by using a machine learning-based classifier, then schedules the kernels accordingly to either CPU or GPU. To improve GPU utilization, a kernel merging approach is proposed. Kernels are merged if their predicted co-execution can provide better performance than sequential execution. A machine learning based classifier is developed to find the best kernel pairs for co-execution on GPU. Finally, a runtime framework is developed to schedule kernels separately on either CPU or GPU, and run kernels in pairs if their co-execution can improve performance. The approaches developed in this thesis significantly improve system performance and outperform all existing techniques

Compilation techniques for automatic extraction of parallelism and locality in heterogeneous architectures

[Abstract] High performance computing has become a key enabler for innovation in science and industry. This fact has unleashed a continuous demand of more computing power that the silicon industry has satisfied with parallel and heterogeneous architectures, and complex memory hierarchies. As a consequence, software developers have been challenged to write new codes and rewrite the old ones to be efficient in these new systems. Unfortunately, success cases are scarce and require huge investments in human workforce. Current compilers generate peak-peformance binary code in monocore architectures. Following this victory, this thesis explores new ideas in compiler design to overcome this challenge with the automatic extraction of parallelism and locality. First, we present a new compiler intermediate representation based on diKernels named KIR, which is insensitive to syntactic variations in the source code and exposes multiple levels of parallelism. On top of the KIR, we build a source-to-source approach that generates parallel code annotated with compiler directives: OpenMP for multicores and OpenHMPP for GPUs. Finally, we model program behavior from the point of view of the memory accesses through the reconstruction of affine loops for sequential and parallel codes. The experimental evaluations throughout the thesis corroborate the effectiveness and efficiency of the proposed solutions.[Resumen]La computación de altas prestaciones se ha convertido en un habilitador clave para la innovación en la ciencia y la industria. Este hecho ha propiciado una demanda continua de más poder computacional que la industria del silicio ha satisfecho con arquitecturas paralelas y heterogéneas, y jerarquías de memoria complejas. Como consecuencia, los desarrolladores de software han sido desafiados a escribir códigos nuevos y reescribir los antiguos para que sean eficientes en estos nuevos sistemas. Desafortunadamente, los casos de éxito son escasos y requieren inversiones enormes en fuerza de trabajo. Los compiladores actuales generan código binario con rendimiento máximo en las arquitecturas mononúcleo. Siguiendo esta victoria, esta tesis explora nuevas ideas en el diseño de compiladores para superar este reto con la extracción automática de paralelismo y localidad. En primer lugar, presentamos una nueva representación intermedia de compilador basada en diKernels denominada KIR, la cual es insensible a variaciones sintácticas en el código de fuente y expone múltiples niveles de paralelismo. Sobre la KIR, construimos una aproximación fuente-a-fuente que genera código paralelo anotado con directivas: OpenMP para multinúcleos y OpenHMPP para GPUs. Finalmente, modelamos el comportamiento del programa desde el punto de vista de los accesos de memoria a través de la reconstrucción de bucles afines para códigos secuenciales y paralelos. Las evaluaciones experimentales a lo largo de la tesis corroboran la efectividad y eficacia de las soluciones propuestas.[Resumo]A computación de altas prestacións converteuse nun habilitador clave para a innovación na ciencia e na industria. Este feito propiciou unha demanda continua de máis poder computacional que a industria do silicio satisfixo con arquitecturas paralelas e heteroxéneas, e xerarquías de memoria complexas. Como consecuencia, os desenvolvedores de software foron desafiados a escribir códigos novos e reescribir os antigos para que sexan eficientes nestes novos sistemas. Desafortunadamente, os casos de éxito son escasos e requiren investimentos enormes en forza de traballo. Os compiladores actuais xeran código binario con rendemento máximo nas arquitecturas mononúcleo. Seguindo esta vitoria, esta tese explora novas ideas no deseño de compiladores para superar este reto coa extracción automática de paralelismo e localidade. En primeiro lugar, presentamos unha nova representación intermedia de compilador baseada en diKernels denominada KIR, a cal é insensible a variacións sintácticas no código fonte e expón múltiples niveis de paralelismo. Sobre a KIR, construímos unha aproximación fonte-a-fonte que xera código paralelo anotado con directivas: OpenMP para multinúcleos e OpenHMPP para GPUs. Finalmente, modelamos o comportamento do programa desde o punto de vista dos accesos de memoria a través da reconstrución de bucles afíns para códigos secuenciais e paralelos. As avaliacións experimentais ao longo da tese corroboran a efectividade e eficacia das solucións propostas

Task-based multifrontal QR solver for heterogeneous architectures

Afin de s'adapter aux architectures multicoeurs et aux machines de plus en plus complexes, les modèles de programmations basés sur un parallélisme de tâche ont gagné en popularité dans la communauté du calcul scientifique haute performance. Les moteurs d'exécution fournissent une interface de programmation qui correspond à ce paradigme ainsi que des outils pour l'ordonnancement des tâches qui définissent l'application. Dans cette étude, nous explorons la conception de solveurs directes creux à base de tâches, qui représentent une charge de travail extrêmement irrégulière, avec des tâches de granularités et de caractéristiques différentes ainsi qu'une consommation mémoire variable, au-dessus d'un moteur d'exécution. Dans le cadre du solveur qr mumps, nous montrons dans un premier temps la viabilité et l'efficacité de notre approche avec l'implémentation d'une méthode multifrontale pour la factorisation de matrices creuses, en se basant sur le modèle de programmation parallèle appelé "flux de tâches séquentielles" (Sequential Task Flow). Cette approche, nous a ensuite permis de développer des fonctionnalités telles que l'intégration de noyaux dense de factorisation de type "minimisation de cAfin de s'adapter aux architectures multicoeurs et aux machines de plus en plus complexes, les modèles de programmations basés sur un parallélisme de tâche ont gagné en popularité dans la communauté du calcul scientifique haute performance. Les moteurs d'exécution fournissent une interface de programmation qui correspond à ce paradigme ainsi que des outils pour l'ordonnancement des tâches qui définissent l'application. Dans cette étude, nous explorons la conception de solveurs directes creux à base de tâches, qui représentent une charge de travail extrêmement irrégulière, avec des tâches de granularités et de caractéristiques différentes ainsi qu'une consommation mémoire variable, au-dessus d'un moteur d'exécution. Dans le cadre du solveur qr mumps, nous montrons dans un premier temps la viabilité et l'efficacité de notre approche avec l'implémentation d'une méthode multifrontale pour la factorisation de matrices creuses, en se basant sur le modèle de programmation parallèle appelé "flux de tâches séquentielles" (Sequential Task Flow). Cette approche, nous a ensuite permis de développer des fonctionnalités telles que l'intégration de noyaux dense de factorisation de type "minimisation de cAfin de s'adapter aux architectures multicoeurs et aux machines de plus en plus complexes, les modèles de programmations basés sur un parallélisme de tâche ont gagné en popularité dans la communauté du calcul scientifique haute performance. Les moteurs d'exécution fournissent une interface de programmation qui correspond à ce paradigme ainsi que des outils pour l'ordonnancement des tâches qui définissent l'application. !!br0ken!!ommunications" (Communication Avoiding) dans la méthode multifrontale, permettant d'améliorer considérablement la scalabilité du solveur par rapport a l'approche original utilisée dans qr mumps. Nous introduisons également un algorithme d'ordonnancement sous contraintes mémoire au sein de notre solveur, exploitable dans le cas des architectures multicoeur, réduisant largement la consommation mémoire de la méthode multifrontale QR avec un impacte négligeable sur les performances. En utilisant le modèle présenté ci-dessus, nous visons ensuite l'exploitation des architectures hétérogènes pour lesquelles la granularité des tâches ainsi les stratégies l'ordonnancement sont cruciales pour profiter de la puissance de ces architectures. Nous proposons, dans le cadre de la méthode multifrontale, un partitionnement hiérarchique des données ainsi qu'un algorithme d'ordonnancement capable d'exploiter l'hétérogénéité des ressources. Enfin, nous présentons une étude sur la reproductibilité de l'exécution parallèle de notre problème et nous montrons également l'utilisation d'un modèle de programmation alternatif pour l'implémentation de la méthode multifrontale. L'ensemble des résultats expérimentaux présentés dans cette étude sont évalués avec une analyse détaillée des performance que nous proposons au début de cette étude. Cette analyse de performance permet de mesurer l'impacte de plusieurs effets identifiés sur la scalabilité et la performance de nos algorithmes et nous aide ainsi à comprendre pleinement les résultats obtenu lors des tests effectués avec notre solveur.To face the advent of multicore processors and the ever increasing complexity of hardware architectures, programming models based on DAG parallelism regained popularity in the high performance, scientific computing community. Modern runtime systems offer a programming interface that complies with this paradigm and powerful engines for scheduling the tasks into which the application is decomposed. These tools have already proved their effectiveness on a number of dense linear algebra applications. In this study we investigate the design of task-based sparse direct solvers which constitute extremely irregular workloads, with tasks of different granularities and characteristics with variable memory consumption on top of runtime systems. In the context of the qr mumps solver, we prove the usability and effectiveness of our approach with the implementation of a sparse matrix multifrontal factorization based on a Sequential Task Flow parallel programming model. Using this programming model, we developed features such as the integration of dense 2D Communication Avoiding algorithms in the multifrontal method allowing for better scalability compared to the original approach used in qr mumps. In addition we introduced a memory-aware algorithm to control the memory behaviour of our solver and show, in the context of multicore architectures, an important reduction of the memory footprint for the multifrontal QR factorization with a small impact on performance. Following this approach, we move to heterogeneous architectures where task granularity and scheduling strategies are critical to achieve performance. We present, for the multifrontal method, a hierarchical strategy for data partitioning and a scheduling algorithm capable of handling the heterogeneity of resources. Finally we present a study on the reproducibility of executions and the use of alternative programming models for the implementation of the multifrontal method. All the experimental results presented in this study are evaluated with a detailed performance analysis measuring the impact of several identified effects on the performance and scalability. Thanks to this original analysis, presented in the first part of this study, we are capable of fully understanding the results obtained with our solver