Elementary transformation analysis for Array-OL

Array-OL is a high-level specification language dedicated to the definition of intensive signal processing applications. Several tools exist for implementing an Array-OL specification as a data parallel program. While Array-OL can be used directly, it is often convenient to be able to deduce part of the specification from a sequential version of the application. This paper proposes such an analysis and examines its feasibility and its limits

Simplification of Boolean Affine Formulas

Boolean Affine Formulas, in which affine inequalities are combined by boolean connectives, are ubiquitous in computer science: static analysis, code and hardware generation, symbolic model checking and many other techniques use them as a compact representation of large or infinite sets. Common algorithms tend to generate large and highly redundant formulas, hence the necessity of a simplifier for keeping the overall complexity under control. Simplification is a difficult problem, at least as hard as SMT solving, with a worst case complexity exponential in the number of affine inequalities. This paper proposes a new method, based on path cutting in Ordered Binary Decision Diagrams, which is able to take advantage of any regularity in the subject formula to speed up simplification. The method has been implemented and was tested on benchmarks from several application domains.Les expressions affines booléennes, qui combinent des inégalités affines à l'aide d'opérateurs booléens, apparaissent dans de nombreux domaines de l'informatique comme l'analyse statique, la génération de code, la synthèse matérielle et le \emph{model checking} symbolique. Elles permettent de représenter de façon compacte des ensembles trés grands et même infinis. Les algorithmes qui permettent de les manipuler ont tendence à construire des formules fortement redondantes et de taille croissante; il est donc nécessaire d'utiliser un simplifieur si l'on veut en maintenir la complexité dans des limites raisonables. La simplification est un problème difficile, au moins aussi difficile que le test de satisfiabilité, et donc de complexité exponentielle dans le pire cas. Cet article propose une nouvelle méthode de simplification, basée sur l'analyse des chemins dans un diagramme de décision ordonné. Cette méthode est capable d'exploiter les régularités d'une formule pour en accélérer la simplification. L'algorithme a été implémenté en Java et testé sur une série d'exemples en provenance de divers domaines d'application

Improving X10 Program Performances by Clock Removal

International audienceX10 is a promising recent parallel language designed specifically to address the challenges of productively programming a wide variety of target platforms. The sequential core of X10 is an object-oriented language in the Java family. This core is augmented by a few parallel constructs that create activities as a generalization of the well known fork/join model. Clocks are a generalization of the familiar barriers. Synchronization on a clock is specified by the advance() method call. Activities that execute \emph{advances} stall until all existent activities have done the same, and then are released at the same (logical) time. This naturally raises the following question: are clocks strictly necessary for X10 programs? Surprisingly enough, the answer is no, at least for sufficiently regular programs. One assigns a date to each operation, denoting the number of advances that the activity has executed before the operation. Operations with the same date constitute a \emph{front}, fronts are executed sequentially in order of increasing dates, while operations in a front are executed in parallel if possible. Depending on the nature of the program, this may entail some overhead, which can be reduced to zero for polyhedral programs. We show by experiments that, at least for the current X10 runtime, this transformation usually improves the performance of our benchmarks. Besides its theoretical interest, this transformation may be of interest for simplifying a compiler or runtime library

Enhancing the Compilation of Synchronous Dataflow Programs with a Combined Numerical-Boolean Abstraction

RR version = http://hal.inria.fr/hal-00780521/enInternational audienceIn this paper, we propose an enhancement of the compilation of synchronous programs with a combined numerical-Boolean abstraction. While our approach applies to synchronous dataflow languages in general, here, we consider the SIGNAL language for illustration. In the new abstraction, every signal in a program is associated with a pair of the form ( clock, value ), where clock is a Boolean function and value is a Boolean or numeric function. Given the performance level reached by recent progress in Satisfiability Modulo Theory (SMT), we use an SMT solver to reason on this abstraction. Through sample examples, we show how our solution is used to determine absence of reaction captured by empty clocks; mutual exclusion captured by two or more clocks whose associated signals never occur at the same time; or hierarchical control of component activations via clock inclusion. We also show that the analysis improves the quality of the code generated automatically by a compiler, e.g., a code with smaller footprint, or a code executed more efficiently thanks to optimizations enabled by the new abstraction. The implementation of the whole approach includes a translator of synchronous programs towards the standard input format of SMT solvers, and an ad hoc SMT solver that integrates advanced functionalities to cope with the issues of interest in this wor

Fast and Accurate Embedded Systems Energy Characterization Using Non-intrusive Measurements

International audienceIn this paper we propose a complete system energy model based on non-intrusive measurements. This model aims at being integrated in fast cycle accurate simulation tools to give energy consumption feedback for embedded systems software design. Estimations takes into account the whole system consumption including peripherals. Experiments on a complex ARM9 platform show that our model estimates are in error by less than 10% from real system consumption, which is precise enough for source code application design, while simulation speed remains fast

Static Analysis of OpenStream Programs

International audienceThis paper studies the applicability of polyhedral techniques to the parallel language Open- Stream [25]. When applicable, polyhedral techniques are invaluable for compile-time debugging and for generating efficient code well suited to a target architecture. OpenStream is a two-level language in which a control program directs the initialization of parallel task instances that communicate through streams, with possibly multiple writers and readers. It has a fairly complex semantics in its most general setting, but we restrict ourselves to the case where the control program is sequential, which is representative of the majority of the OpenStream applications. This restriction offers deterministic concurrency by construction, but deadlocks are still possible. We show that, if the control program is polyhedral, one may statically compute, for each task instance, the read and write indices to each of its streams, and thus reason statically about the dependences among task instances (the only scheduling constraints in this polyhedral subset). These indices may be polynomials of arbitrary degree, thus requiring to extend to polynomials the standard polyhedral techniques for dependence analysis, scheduling, and deadlock detection. Modern SMT allow to solve polynomial problems, albeit with no guarantee of success; the approach of Feautrier [10] may offer an alternative solution. We also establish two important results related to deadlocks in OpenStream: 1) a characterization of deadlocks in terms of dependence paths, which implies that streams can be safely bounded as soon as a schedule exists with such sizes, 2) the proof that deadlock detection is undecidable, even for polyhedral OpenStream

Embedded Systems Energy Characterization using non-Intrusive Instrumentation

Research Report RR2006-37, LIP - ENS LyonThis research report presents a non intrusive methodology for building embedded systems energy consumption models. The method is based on measurement on real hardware in order to get a quantitative approach that takes into account the full architecture. Based on these measurements, data are grouped into class of instructions and events. These classes can then be reused in software simulators and in high-level source code transformation cost functions for optimizing compilers. The computed power model is much more simpler than previous power models while being accurate at the platform level. The methodology is illustrated using experimental results made on an ARM Integrator platform for which an accurate and full system energy model is build

Multi-dimensional Rankings, Program Termination, and Complexity Bounds of Flowchart Programs

International audienceProving the termination of a flowchart program can be done by exhibiting a ranking function, i.e., a function from the program states to a well-founded set, which strictly decreases at each program step. A standard method to automatically generate such a function is to compute invariants for each program point and to search for a ranking in a restricted class of functions that can be handled with linear programming techniques. Previous algorithms based on affine rankings either are applicable only to simple loops (i.e., single-node flowcharts) and rely on enumeration, or are not complete in the sense that they are not guaranteed to find a ranking in the class of functions they consider, if one exists. Our first contribution is to propose an efficient algorithm to compute ranking functions: It can handle flowcharts of arbitrary structure, the class of candidate rankings it explores is larger, and our method, although greedy, is provably complete. Our second contribution is to show how to use the ranking functions we generate to get upper bounds for the computational complexity (number of transitions) of the source program. This estimate is a polynomial, which means that we can handle programs with more than linear complexity. We applied the method on a collection of test cases from the literature. We also show the links and differences with previous techniques based on the insertion of counters

Bounding the Computational Complexity of Flowchart Programs with Multi-dimensional Rankings

Proving the termination of a flowchart program can be done by exhibiting a ranking function, i.e., a function from the program states to a well-founded set, which strictly decreases at each program step. A standard method to automatically generate such a function is to compute invariants for each program point and to search for a ranking in a restricted class of functions that can be handled with linear programming techniques. Our first contribution is to propose an efficient algorithm to compute ranking functions: It can handle flowcharts of arbitrary structure, the class of candidate rankings it explores is larger, and our method, although greedy, is provably complete. Our second contribution is to show how to use the ranking functions we generate to get upper bounds for the computational complexity (number of transitions) of the source program, again for flowcharts of arbitrary structure. This estimate is a polynomial, which means that we can handle programs with more than linear complexity. We applied the method on a collection of test cases from the literature. We also point out important extensions, mainly to do with the scalability of the algorithm and, in particular, the integration of techniques based on cutpoints