A Survey of User Interfaces for Computer Algebra Systems

AbstractThis paper surveys work within the Computer Algebra community (and elsewhere) directed towards improving user interfaces for scientific computation during the period 1963–1994. It is intended to be useful to two groups of people: those who wish to know what work has been done and those who would like to do work in the field. It contains an extensive bibliography to assist readers in exploring the field in more depth. Work related to improving human interaction with computer algebra systems is the main focus of the paper. However, the paper includes additional materials on some closely related issues such as structured document editing, graphics, and communication protocols

A survey of parallel execution strategies for transitive closure and logic programs

An important feature of database technology of the nineties is the use of parallelism for speeding up the execution of complex queries. This technology is being tested in several experimental database architectures and a few commercial systems for conventional select-project-join queries. In particular, hash-based fragmentation is used to distribute data to disks under the control of different processors in order to perform selections and joins in parallel. With the development of new query languages, and in particular with the definition of transitive closure queries and of more general logic programming queries, the new dimension of recursion has been added to query processing. Recursive queries are complex; at the same time, their regular structure is particularly suited for parallel execution, and parallelism may give a high efficiency gain. We survey the approaches to parallel execution of recursive queries that have been presented in the recent literature. We observe that research on parallel execution of recursive queries is separated into two distinct subareas, one focused on the transitive closure of Relational Algebra expressions, the other one focused on optimization of more general Datalog queries. Though the subareas seem radically different because of the approach and formalism used, they have many common features. This is not surprising, because most typical Datalog queries can be solved by means of the transitive closure of simple algebraic expressions. We first analyze the relationship between the transitive closure of expressions in Relational Algebra and Datalog programs. We then review sequential methods for evaluating transitive closure, distinguishing iterative and direct methods. We address the parallelization of these methods, by discussing various forms of parallelization. Data fragmentation plays an important role in obtaining parallel execution; we describe hash-based and semantic fragmentation. Finally, we consider Datalog queries, and present general methods for parallel rule execution; we recognize the similarities between these methods and the methods reviewed previously, when the former are applied to linear Datalog queries. We also provide a quantitative analysis that shows the impact of the initial data distribution on the performance of methods

Compiling for an Heterogeneous Vector Image Processor

International audienceWe present a new compilation strategy, implemented at a small cost, to optimize image applications developed on top of a high level image processing library for an heterogeneous processor with a vector image processing accelerator. The library provides the semantics of the image computations. The pipelined structure of the accelerator allows to compute whole expressions with dozens of elementary image instructions, but is constrained as intermediate image values cannot be extracted. We adapted standard compilation techniques to perform this task automatically. Our strategy is implemented in PIPS, a source-to-source compiler which greatly reduces the development cost as standard phases are reused and parameterized for the target. Experiments were run on the hardware functional simulator. We compile 1217 cases, from elementary tests to full applications. All are optimal but a few which are mostly within a mere accelerator call of optimality. Our contribu- tions include: 1) a general low cost compilation strategy for image processing applications, based on the semantics provided by library calls, which improves locality by an order of magnitude; 2) a specific heuristic to minimize execution time on the target vector accelerator; 3) numerous experiments that show the effectiveness of our strategy

Automated design of domain-specific custom instructions = Geautomatiseerd ontwerp van domeinspecifieke gespecialiseerde instructies

Cotutela Universitat Politècnica de Catalunya i Universiteit Gent, Faculteit Ingenieurswetenschappen en Architectuur Vakgroep Elektronica en InformatiesystemenIn the last years, hardware specialization has received renewed attention as chips approach a utilization wall. Specialized accelerators can take advantage of underutilized transistors implementing custom hardware that complements the main processor. However, specialization adds complexity to the design process and limits reutilization. Application-Specific Instruction Processors (ASIPs) balance performance and reusability, extending a general-purpose processor with custom instructions (CIs) specific for an application, implemented in Specialized Functional Units (SFUs). Still, time-to-market is a major issue with application-specific designs because, if CIs are not frequently executed, the acceleration benefits will not compensate for the overall design cost. Domain-specific acceleration increases the applicability of ASIPs, as it targets several applications that run on the same hardware. Also, reconfigurable SFUs and the automation of the CIs design can solve the aforementioned problems. In this dissertation, we explore different automated approaches to the design of CIs that extend a baseline processor for domain-specific acceleration to improve both performance and energy efficiency. First, we develop automated techniques to identify code sequences within a domain to create CI candidates. Due to the disparity among coding styles of different programs, it is difficult to find patterns that are represented by a unique CI across applications. Therefore, we propose an analysis at the basic block level that identifies equivalent CIs within and across different programs. We use the Taylor Expansion Diagram (TED) canonical representation to find not only structurally equivalent CIs, but also functionally similar ones, as opposed to the commonly applied directed acyclic graph (DAG) isomorphism detection. We combine both methods into a new Hybrid DAG/TED technique to identify more patterns across applications that map to the same CI. Then, we select a subset of the CI candidates that fits in the available SFU area. Because of the complexity of the problem, we propose four scoring heuristics to reduce the design space and smooth the potential performance speedup across applications. We include these methods in the FuSInG framework, and we estimate performance with hardware models on a set of media benchmarks. Results show that, when limiting core area devoted to specialization, the SFU customization with the largest speedups includes a mix of application and domain-specific custom instructions. If we target larger CIs to obtain higher speedups, reusability across applications becomes critical; without enough equivalences, CIs cannot be generalized for a domain. We aim to share partially common operations among CIs to accelerate more code, especially across basic blocks, and to reduce the hardware area needed for specialization. Hence, we create a new canonical representation across basic blocks, the Merging Diagram, to facilitate similarity detection and improve code coverage. We also introduce clustering-based partial matching to identify partially-similar domain-specific CIs, which generally leads to better performance than application-specific ones. Yet, at small areas, merging two CIs induces a high additional overhead that might penalize energy-efficiency. Thus, we also detect fragments of CIs and we join them with the existing merged clusters resulting in minimal extra overhead. Also, using speedup as the deciding factor for CI selection may not be optimal for devices with limited power budgets. For that reason, we propose a linear programming-based selection that balances performance and energy consumption. We implement these techniques in the MInGLE framework and evaluate them with media benchmarks. The selected CIs significantly improve the energy-delay product and performance, demonstrating that we can accelerate a domain covering more code while reducing the needed area for the CI implementation.La especialización de hardware ha recibido renovado interés debido al utilization wall, ya que transistores infrautilizados pueden implementar hardware a medida que complemente el procesador principal. Sin embargo, el proceso de diseño se complica y se limita la reutilización. Procesadores de instrucciones para aplicaciones específicas (ASIPs) equilibran rendimiento y reuso, extendiendo un procesador con instruciones especializadas (custom instructions ¿ CIs) para una aplicación, implementadas en unidades funcionales especializadas (SFUs). No obstante, los plazos de comercialización suponen un obstáculo en diseños específicos ya que, si las CIs no se ejecutan con frecuencia, los beneficios de la aceleración no compensan los costes de diseño. La aceleración de un dominio específico incrementa la aplicabilidad de los ASIPs, acelerando diferentes aplicaciones en el mismo hardware, mientras que una SFU reconfigurable y un diseño automatizado pueden resolver los problemas mencionados. En esta tesis, exploramos diferentes alternativas al diseño de CIs que extienden un procesador para acelerar un dominio, mejorando el rendimiento y la eficiencia energética. Proponemos primero técnicas automatizadas para identificar código acelerable en un dominio. Sin embargo, la identificación se ve dificultada por la diversidad de estilos entre diferentes programas. Por tanto, proponemos identificar en el bloque básico CIs equivalentes utilizando la representación canónica Taylor Expansion Diagram (TED). Con TEDs encontramos no sólo código estructuralmente equivalente, sino también con similitud funcional, en contraposición a la detección isomórfica de grafos acíclicos dirigidos (DAG). Combinamos ambos métodos en una nueva técnica híbrida DAG/TED, que identifica en varias aplicaciones más secuencias representadas por la misma CI. Tras esto, seleccionamos un subconjunto de CIs que puede ser contenido en el área de la SFU. Por la complejidad del problema, proponemos cuatro heurísticas de selección para reducir el espacio de búsqueda y homogeneizar el rendimiento de las aplicaciones. Incluimos estas técnicas en la infraestructura FuSInG y estimamos el rendimiento para un conjunto de benchmarks multimedia. Los resultados muestran que, al limitar el área de especialización, la configuración de la SFU con las mayores ganancias incluye una mezcla de CIs específicas tanto para una aplicación como para todo el dominio. Si nos centramos en CIs más grandes para obtener mayores ganancias, la reutilización se vuelve crítica; sin suficientes equivalencias las CIs no pueden ser generalizadas. Nuestro objetivo es que las CIs compartan parcialmente operaciones, especialmente a través de bloques básicos, y reducir el área de especialización. Por ello, creamos una representación canónica de CIs que cubre varios bloques básicos, Merging Diagram, para mejorar el alcance de la aceleración y facilitar la detección de similitud. Además, proponemos una búsqueda de coincidencias parciales basadas en clustering para identificar CIs de dominio específico parcialmente similares, las cuales derivan generalmente mejor rendimiento. Pero en áreas reducidas, la fusión de CIs induce un coste adicional que penalizaría la eficiencia energética. Así, detectamos fragmentos de CIs y los unimos con grupos de CIs previamente fusionadas con un coste extra mínimo. Usar el rendimiento como el factor decisivo en la selección puede no ser óptimo para disposivos con consumo de energía limitado. Por eso, proponemos un mecanismo de selección basado en programación lineal que equilibra rendimiento y consumo energético. Implementamos estas técnicas en la infraestructura MInGLE y las evaluamos con benchmarks multimedia. Las CIs seleccionadas mejoran notablemente la eficiencia energética y el rendimiento, demostrando que podemos acelerar un dominio cubriendo más código a la vez que reducimos el área de implementación.Postprint (published version