Simplifying Dependent Reductions in the Polyhedral Model

A Reduction -- an accumulation over a set of values, using an associative and commutative operator -- is a common computation in many numerical computations, including scientific computations, machine learning, computer vision, and financial analytics. Contemporary polyhedral-based compilation techniques make it possible to optimize reductions, such as prefix sums, in which each component of the reduction's output potentially shares computation with another component in the reduction. Therefore an optimizing compiler can identify the computation shared between multiple components and generate code that computes the shared computation only once. These techniques, however, do not support reductions that -- when phrased in the language of the polyhedral model -- span multiple dependent statements. In such cases, existing approaches can generate incorrect code that violates the data dependences of the original, unoptimized program. In this work, we identify and formalize the optimization of dependent reductions as an integer bilinear program. We present a heuristic optimization algorithm that uses an affine sequential schedule of the program to determine how to simplfy reductions yet still preserve the program's dependences. We demonstrate that the algorithm provides optimal complexity for a set of benchmark programs from the literature on probabilistic inference algorithms, whose performance critically relies on simplifying these reductions. The complexities for 10 of the 11 programs improve siginifcantly by factors at least of the sizes of the input data, which are in the range of $10^4$ to $10^6$ for typical real application inputs. We also confirm the significance of the improvement by showing speedups in wall-clock time that range from $1.1\text{x}$ to over $10^6\text{x}$

Polyhedral-based dynamic loop pipelining for high-level synthesis

Loop pipelining is one of the most important optimization methods in high-level synthesis (HLS) for increasing loop parallelism. There has been considerable work on improving loop pipelining, which mainly focuses on optimizing static operation scheduling and parallel memory accesses. Nonetheless, when loops contain complex memory dependencies, current techniques cannot generate high performance pipelines. In this paper, we extend the capability of loop pipelining in HLS to handle loops with uncertain dependencies (i.e., parameterized by an undetermined variable) and/or nonuniform dependencies (i.e., varying between loop iterations). Our optimization allows a pipeline to be statically scheduled without the aforementioned memory dependencies, but an associated controller will change the execution speed of loop iterations at runtime. This allows the augmented pipeline to process each loop iteration as fast as possible without violating memory dependencies. We use a parametric polyhedral analysis to generate the control logic for when to safely run all loop iterations in the pipeline and when to break the pipeline execution to resolve memory conflicts. Our techniques have been prototyped in an automated source-to-source code transformation framework, with Xilinx Vivado HLS, a leading HLS tool, as the RTL generation backend. Over a suite of benchmarks, experiments show that our optimization can implement optimized pipelines at almost the same clock speed as without our transformations, running approximately 3.7-10× faster, with a reasonable resource overhead

Simplification and Run-time Resolution of Data Dependence Constraints for Loop Transformations

International audienceLoop transformations such as tiling, parallelization or vector-ization are essential tools in the quest for high-performance program execution. But precise data dependence analysis is required to determine the validity of a loop transformation, and whether the compiler can apply it or not. In particular , current static analyses typically fail to provide precise enough dependence information when the code contains indirect memory accesses or even polynomial subscript functions to index arrays. This leads to considering superfluous may-dependences between instructions, in turn preventing many loop transformations to be applied. In this work we present a new framework to overcome several limitations of static dependence analyses, to enable aggressive loop transformations on programs with may-dependences. We statically generate a test to be evaluated at runtime which uses data dependence information to determine whether a program transformation is valid, and if so triggers the execution of the transformed code, falling back to the original code otherwise. These tests, originally constructed as a loop-based code with O(n 2d) iterations (d being the maximal loop depth of the program, n being the loop trip count), are reduced to a loop-free test of O(1) complexity thanks to a new quantifier elimination scheme that we introduce in this paper. The precision and low overhead of our method is demonstrated over 25 kernels containing may-alias memory pointers and polynomial memory access subscripts

ACOTES project: Advanced compiler technologies for embedded streaming

Streaming applications are built of data-driven, computational components, consuming and producing unbounded data streams. Streaming oriented systems have become dominant in a wide range of domains, including embedded applications and DSPs. However, programming efficiently for streaming architectures is a challenging task, having to carefully partition the computation and map it to processes in a way that best matches the underlying streaming architecture, taking into account the distributed resources (memory, processing, real-time requirements) and communication overheads (processing and delay). These challenges have led to a number of suggested solutions, whose goal is to improve the programmer’s productivity in developing applications that process massive streams of data on programmable, parallel embedded architectures. StreamIt is one such example. Another more recent approach is that developed by the ACOTES project (Advanced Compiler Technologies for Embedded Streaming). The ACOTES approach for streaming applications consists of compiler-assisted mapping of streaming tasks to highly parallel systems in order to maximize cost-effectiveness, both in terms of energy and in terms of design effort. The analysis and transformation techniques automate large parts of the partitioning and mapping process, based on the properties of the application domain, on the quantitative information about the target systems, and on programmer directives. This paper presents the outcomes of the ACOTES project, a 3-year collaborative work of industrial (NXP, ST, IBM, Silicon Hive, NOKIA) and academic (UPC, INRIA, MINES ParisTech) partners, and advocates the use of Advanced Compiler Technologies that we developed to support Embedded Streaming.Peer ReviewedPostprint (published version

A compiler level intermediate representation based binary analysis system and its applications

Analyzing and optimizing programs from their executables has received a lot of attention recently in the research community. There has been a tremendous amount of activity in executable-level research targeting varied applications such as security vulnerability analysis, untrusted code analysis, malware analysis, program testing, and binary optimizations. The vision of this dissertation is to advance the field of static analysis of executables and bridge the gap between source-level analysis and executable analysis. The main thesis of this work is scalable static binary rewriting and analysis using compiler-level intermediate representation without relying on the presence of metadata information such as debug or symbolic information. In spite of a significant overlap in the overall goals of several source-code methods and executables-level techniques, several sophisticated transformations that are well-understood and implemented in source-level infrastructures have yet to become available in executable frameworks. It is a well known fact that a standalone executable without any meta data is less amenable to analysis than the source code. Nonetheless, we believe that one of the prime reasons behind the limitations of existing executable frameworks is that current executable frameworks define their own intermediate representations (IR) which are significantly more constrained than an IR used in a compiler. Intermediate representations used in existing binary frameworks lack high level features like abstract stack, variables, and symbols and are even machine dependent in some cases. This severely limits the application of well-understood compiler transformations to executables and necessitates new research to make them applicable. In the first part of this dissertation, we present techniques to convert the binaries to the same high-level intermediate representation that compilers use. We propose methods to segment the flat address space in an executable containing undifferentiated blocks of memory. We demonstrate the inadequacy of existing variable identification methods for their promotion to symbols and present our methods for symbol promotion. We also present methods to convert the physically addressed stack in an executable to an abstract stack. The proposed methods are practical since they do not employ symbolic, relocation, or debug information which are usually absent in deployed executables. We have integrated our techniques with a prototype x86 binary framework called \emph{SecondWrite} that uses LLVM as the IR. The robustness of the framework is demonstrated by handling executables totaling more than a million lines of source-code, including several real world programs. In the next part of this work, we demonstrate that several well-known source-level analysis frameworks such as symbolic analysis have limited effectiveness in the executable domain since executables typically lack higher-level semantics such as program variables. The IR should have a precise memory abstraction for an analysis to effectively reason about memory operations. Our first work of recovering a compiler-level representation addresses this limitation by recovering several higher-level semantics information from executables. In the next part of this work, we propose methods to handle the scenarios when such semantics cannot be recovered. First, we propose a hybrid static-dynamic mechanism for recovering a precise and correct memory model in executables in presence of executable-specific artifacts such as indirect control transfers. Next, the enhanced memory model is employed to define a novel symbolic analysis framework for executables that can perform the same types of program analysis as source-level tools. Frameworks hitherto fail to simultaneously maintain the properties of correct representation and precise memory model and ignore memory-allocated variables while defining symbolic analysis mechanisms. We exemplify that our framework is robust, efficient and it significantly improves the performance of various traditional analyses like global value numbering, alias analysis and dependence analysis for executables. Finally, the underlying representation and analysis framework is employed for two separate applications. First, the framework is extended to define a novel static analysis framework, \emph{DemandFlow}, for identifying information flow security violations in program executables. Unlike existing static vulnerability detection methods for executables, DemandFlow analyzes memory locations in addition to symbols, thus improving the precision of the analysis. DemandFlow proposes a novel demand-driven mechanism to identify and precisely analyze only those program locations and memory accesses which are relevant to a vulnerability, thus enhancing scalability. DemandFlow uncovers six previously undiscovered format string and directory traversal vulnerabilities in popular ftp and internet relay chat clients. Next, the framework is extended to implement a platform-specific optimization for embedded processors. Several embedded systems provide the facility of locking one or more lines in the cache. We devise the first method in literature that employs instruction cache locking as a mechanism for improving the average-case run-time of general embedded applications. We demonstrate that the optimal solution for instruction cache locking can be obtained in polynomial time. Since our scheme is implemented inside a binary framework, it successfully addresses the portability concern by enabling the implementation of cache locking at the time of deployment when all the details of the memory hierarchy are available

Indexed dependence metadata and its applications in software performance optimisation

To achieve continued performance improvements, modern microprocessor design is tending to concentrate an increasing proportion of hardware on computation units with less automatic management of data movement and extraction of parallelism. As a result, architectures increasingly include multiple computation cores and complicated, software-managed memory hierarchies. Compilers have difficulty characterizing the behaviour of a kernel in a general enough manner to enable automatic generation of efficient code in any but the most straightforward of cases. We propose the concept of indexed dependence metadata to improve application development and mapping onto such architectures. The metadata represent both the iteration space of a kernel and the mapping of that iteration space from a given index to the set of data elements that iteration might use: thus the dependence metadata is indexed by the kernel’s iteration space. This explicit mapping allows the compiler or runtime to optimise the program more efficiently, and improves the program structure for the developer. We argue that this form of explicit interface specification reduces the need for premature, architecture-specific optimisation. It improves program portability, supports intercomponent optimisation and enables generation of efficient data movement code. We offer the following contributions: an introduction to the concept of indexed dependence metadata as a generalisation of stream programming, a demonstration of its advantages in a component programming system, the decoupled access/execute model for C++ programs, and how indexed dependence metadata might be used to improve the programming model for GPU-based designs. Our experimental results with prototype implementations show that indexed dependence metadata supports automatic synthesis of double-buffered data movement for the Cell processor and enables aggressive loop fusion optimisations in image processing, linear algebra and multigrid application case studies

Halide: a language and compiler for optimizing parallelism, locality, and recomputation in image processing pipelines

Image processing pipelines combine the challenges of stencil computations and stream programs. They are composed of large graphs of different stencil stages, as well as complex reductions, and stages with global or data-dependent access patterns. Because of their complex structure, the performance difference between a naive implementation of a pipeline and an optimized one is often an order of magnitude. Efficient implementations require optimization of both parallelism and locality, but due to the nature of stencils, there is a fundamental tension between parallelism, locality, and introducing redundant recomputation of shared values. We present a systematic model of the tradeoff space fundamental to stencil pipelines, a schedule representation which describes concrete points in this space for each stage in an image processing pipeline, and an optimizing compiler for the Halide image processing language that synthesizes high performance implementations from a Halide algorithm and a schedule. Combining this compiler with stochastic search over the space of schedules enables terse, composable programs to achieve state-of-the-art performance on a wide range of real image processing pipelines, and across different hardware architectures, including multicores with SIMD, and heterogeneous CPU+GPU execution. From simple Halide programs written in a few hours, we demonstrate performance up to 5x faster than hand-tuned C, intrinsics, and CUDA implementations optimized by experts over weeks or months, for image processing applications beyond the reach of past automatic compilers.United States. Dept. of Energy (Award DE-SC0005288)National Science Foundation (U.S.) (Grant 0964004)Intel CorporationCognex CorporationAdobe System