Experiences with enumeration of integer projections of parametric polytopes

Many compiler optimization techniques depend on the ability to calculate the number of integer values that satisfy a given set of linear constraints. This count (the enumerator of a parametric polytope) is a function of the symbolic parameters that may appear in the constraints. In an extended problem (the "integer projection" of a parametric polytope), some of the variables that appear in the constraints may be existentially quantified and then the enumerated set corresponds to the projection of the integer points in a parametric polytope. This paper shows how to reduce the enumeration of the integer projection of parametric polytopes to the enumeration of parametric polytopes. Two approaches are described and experimentally compared. Both can solve problems that were considered very difficult to solve analytically

Modeling Cache Coherence to Expose

International audienceTo facilitate programming, most multi-core processors feature automated mechanisms maintaining coherence between each core's cache. These mechanisms introduce interference, that is, delays caused by concurrent access to a shared resource. This type of interference is hard to predict, leading to the mechanisms being shunned by real-time system designers, at the cost of potential benefits in both running time and system complexity. We believe that formal methods can provide the means to ensure that the effects of this interference are properly exposed and mitigated. Consequently, this paper proposes a nascent framework relying on timed automata to model and analyze the interference caused by cache coherence

Modeling Cache Coherence to Expose Interference

To facilitate programming, most multi-core processors feature automated mechanisms maintaining coherence between each core\u27s cache. These mechanisms introduce interference, that is, delays caused by concurrent access to a shared resource. This type of interference is hard to predict, leading to the mechanisms being shunned by real-time system designers, at the cost of potential benefits in both running time and system complexity. We believe that formal methods can provide the means to ensure that the effects of this interference are properly exposed and mitigated. Consequently, this paper proposes a nascent framework relying on timed automata to model and analyze the interference caused by cache coherence

Implementing a Time Management Unit for the OR1200 Processor.

This thesis presents a Time Management Unit (TMU) that provides assistance to the scheduler and the interrupt handling of a real-time operation system. The unit provides functionality for monitoring task execution time and a mechanism for signalling when a task depletes its resources. This applies to both regular tasks and the handling of sporadic events. By putting the TMU inside a processor core, it has a more predictable impact on the overhead related to task switching. The implemented TMU is tested as a stand-alone unit with a hardware testbench, and then integrated into the OpenRISC 1000 based OR1200 processor as special purpose registers. The behaviour of OR1200 is verified through hardware simulation, using compiled software as input. The Or1ksim instruction-set simulator is modified to include the TMU functionality, which provides a reference point for the behaviour of the altered processor. The real-time operating system FreeRTOS is adapted to utilize the functionality of the TMU. Its behaviour is verified through simulation on Or1ksim, simulated hardware and execution on a Cyclone V FPGA. Analysis of runtime statistics shows that the module is working as expected through all phases of verification, and that it can increase determinism, reliability and user control. Tests have shown that the TMU is able to recover a faulting task from spin-locks and aid in fail-soft operations for software faults. By placing the TMU inside the processor core, a fixed overhead of 131 cycles is achieved during a context switch when no caches are used

Optimizing I/O for Big Array Analytics

Big array analytics is becoming indispensable in answering important scientific and business questions. Most analysis tasks consist of multiple steps, each making one or multiple passes over the arrays to be analyzed and generating intermediate results. In the big data setting, I/O optimization is a key to efficient analytics. In this paper, we develop a framework and techniques for capturing a broad range of analysis tasks expressible in nested-loop forms, representing them in a declarative way, and optimizing their I/O by identifying sharing opportunities. Experiment results show that our optimizer is capable of finding execution plans that exploit nontrivial I/O sharing opportunities with significant savings.Comment: VLDB201

Access Strategies for Network Caching

Having multiple data stores that can potentially serve content is common in modern networked applications. Data stores often publish approximate summaries of their content to enable effective utilization. Since these summaries are not entirely accurate, forming an efficient access strategy to multiple data stores becomes a complex risk management problem.This paper formally models this problem, and introduces practical algorithms with guaranteed approximation ratios, and in particular we show that our algorithms are optimal in a variety of settings. We also perform an extensive simulation study based on real data, and show that our algorithms are more robust than existing heuristics. That is, they exhibit near optimal performance in various settings whereas the efficiency of existing approaches depends upon system parameters that may change over time, or be otherwise unknown

Simple, safe, and efficient memory management using linear pointers

Efficient and safe memory management is a hard problem. Garbage collection promises automatic memory management but comes with the cost of increased memory footprint, reduced parallelism in multi-threaded programs, unpredictable pause time, and intricate tuning parameters balancing the program's workload and designated memory usage in order for an application to perform reasonably well. Existing research mitigates the above problems to some extent, but programmer error could still cause memory leak by erroneously keeping memory references when they are no longer needed. We need a methodology for programmers to become resource aware, so that efficient, scalable, predictable and high performance programs may be written without the fear of resource leak. Linear logic has been recognized as the formalism of choice for resource tracking. It requires explicit introduction and elimination of resources and guarantees that a resource cannot be implicitly shared or abandoned, hence must be linear. Early languages based on linear logic focused on Curry-Howard correspondence. They began by limiting the expressive powers of the language and then reintroduced them by allowing controlled sharing which is necessary for recursive functions. However, only by deviating from Curry-Howard correspondence could later development actually address programming errors in resource usage. The contribution of this dissertation is a simple, safe, and efficient approach introducing linear resource ownership semantics into C++ (which is still a widely used language after 30 years since inception) through linear pointer, a smart pointer inspired by linear logic. By implementing various linear data structures and a parallel, multi-threaded memory allocator based on these data structures, this work shows that linear pointer is practical and efficient in the real world, and that it is possible to build a memory management stack that is entirely leak free. The dissertation offers some closing remarks on the difficulties a formal system would encounter when reasoning about a concurrent linear data algorithm, and what might be done to solve these problems