Survey on Combinatorial Register Allocation and Instruction Scheduling

Register allocation (mapping variables to processor registers or memory) and instruction scheduling (reordering instructions to increase instruction-level parallelism) are essential tasks for generating efficient assembly code in a compiler. In the last three decades, combinatorial optimization has emerged as an alternative to traditional, heuristic algorithms for these two tasks. Combinatorial optimization approaches can deliver optimal solutions according to a model, can precisely capture trade-offs between conflicting decisions, and are more flexible at the expense of increased compilation time. This paper provides an exhaustive literature review and a classification of combinatorial optimization approaches to register allocation and instruction scheduling, with a focus on the techniques that are most applied in this context: integer programming, constraint programming, partitioned Boolean quadratic programming, and enumeration. Researchers in compilers and combinatorial optimization can benefit from identifying developments, trends, and challenges in the area; compiler practitioners may discern opportunities and grasp the potential benefit of applying combinatorial optimization

Code optimizations for narrow bitwidth architectures

This thesis takes a HW/SW collaborative approach to tackle the problem of computational inefficiency in a holistic manner. The hardware is redesigned by restraining the datapath to merely 16-bit datawidth (integer datapath only) to provide an extremely simple, low-cost, low-complexity execution core which is best at executing the most common case efficiently. This redesign, referred to as the Narrow Bitwidth Architecture, is unique in that although the datapath is squeezed to 16-bits, it continues to offer the advantage of higher memory addressability like the contemporary wider datapath architectures. Its interface to the outside (software) world is termed as the Narrow ISA. The software is responsible for efficiently mapping the current stack of 64-bit applications onto the 16-bit hardware. However, this HW/SW approach introduces a non-negligible penalty both in dynamic code-size and performance-impact even with a reasonably smart code-translator that maps the 64- bit applications on to the 16-bit processor. The goal of this thesis is to design a software layer that harnesses the power of compiler optimizations to assuage this negative performance penalty of the Narrow ISA. More specifically, this thesis focuses on compiler optimizations targeting the problem of how to compile a 64-bit program to a 16-bit datapath machine from the perspective of Minimum Required Computations (MRC). Given a program, the notion of MRC aims to infer how much computation is really required to generate the same (correct) output as the original program. Approaching perfect MRC is an intrinsically ambitious goal and it requires oracle predictions of program behavior. Towards this end, the thesis proposes three heuristic-based optimizations to closely infer the MRC. The perspective of MRC unfolds into a definition of productiveness - if a computation does not alter the storage location, it is non-productive and hence, not necessary to be performed. In this research, the definition of productiveness has been applied to different granularities of the data-flow as well as control-flow of the programs. Three profile-based, code optimization techniques have been proposed : 1. Global Productiveness Propagation (GPP) which applies the concept of productiveness at the granularity of a function. 2. Local Productiveness Pruning (LPP) applies the same concept but at a much finer granularity of a single instruction. 3. Minimal Branch Computation (MBC) is an profile-based, code-reordering optimization technique which applies the principles of MRC for conditional branches. The primary aim of all these techniques is to reduce the dynamic code footprint of the Narrow ISA. The first two optimizations (GPP and LPP) perform the task of speculatively pruning the non-productive (useless) computations using profiles. Further, these two optimization techniques perform backward traversal of the optimization regions to embed checks into the nonspeculative slices, hence, making them self-sufficient to detect mis-speculation dynamically. The MBC optimization is a use case of a broader concept of a lazy computation model. The idea behind MBC is to reorder the backslices containing narrow computations such that the minimal necessary computations to generate the same (correct) output are performed in the most-frequent case; the rest of the computations are performed only when necessary. With the proposed optimizations, it can be concluded that there do exist ways to smartly compile a 64-bit application to a 16- bit ISA such that the overheads are considerably reduced.Esta tesis deriva su motivación en la inherente ineficiencia computacional de los procesadores actuales: a pesar de que muchas aplicaciones contemporáneas tienen unos requisitos de ancho de bits estrechos (aplicaciones de enteros, de red y multimedia), el hardware acaba utilizando el camino de datos completo, utilizando más recursos de los necesarios y consumiendo más energía. Esta tesis utiliza una aproximación HW/SW para atacar, de forma íntegra, el problema de la ineficiencia computacional. El hardware se ha rediseñado para restringir el ancho de bits del camino de datos a sólo 16 bits (únicamente el de enteros) y ofrecer así un núcleo de ejecución simple, de bajo consumo y baja complejidad, el cual está diseñado para ejecutar de forma eficiente el caso común. El rediseño, llamado en esta tesis Arquitectura de Ancho de Bits Estrecho (narrow bitwidth en inglés), es único en el sentido que aunque el camino de datos se ha estrechado a 16 bits, el sistema continúa ofreciendo las ventajas de direccionar grandes cantidades de memoria tal como procesadores con caminos de datos más anchos (64 bits actualmente). Su interface con el mundo exterior se denomina ISA estrecho. En nuestra propuesta el software es responsable de mapear eficientemente la actual pila software de las aplicaciones de 64 bits en el hardware de 16 bits. Sin embargo, esta aproximación HW/SW introduce penalizaciones no despreciables tanto en el tamaño del código dinámico como en el rendimiento, incluso con un traductor de código inteligente que mapea las aplicaciones de 64 bits en el procesador de 16 bits. El objetivo de esta tesis es el de diseñar una capa software que aproveche la capacidad de las optimizaciones para reducir el efecto negativo en el rendimiento del ISA estrecho. Concretamente, esta tesis se centra en optimizaciones que tratan el problema de como compilar programas de 64 bits para una máquina de 16 bits desde la perspectiva de las Mínimas Computaciones Requeridas (MRC en inglés). Dado un programa, la noción de MRC intenta deducir la cantidad de cómputo que realmente se necesita para generar la misma (correcta) salida que el programa original. Aproximarse al MRC perfecto es una meta intrínsecamente ambiciosa y que requiere predicciones perfectas de comportamiento del programa. Con este fin, la tesis propone tres heurísticas basadas en optimizaciones que tratan de inferir el MRC. La utilización de MRC se desarrolla en la definición de productividad: si un cálculo no altera el dato que ya había almacenado, entonces no es productivo y por lo tanto, no es necesario llevarlo a cabo. Se han propuesto tres optimizaciones del código basadas en profile: 1. Propagación Global de la Productividad (GPP en inglés) aplica el concepto de productividad a la granularidad de función. 2. Poda Local de Productividad (LPP en inglés) aplica el mismo concepto pero a una granularidad mucho más fina, la de una única instrucción. 3. Computación Mínima del Salto (MBC en inglés) es una técnica de reordenación de código que aplica los principios de MRC a los saltos condicionales. El objetivo principal de todas esta técnicas es el de reducir el tamaño dinámico del código estrecho. Las primeras dos optimizaciones (GPP y LPP) realizan la tarea de podar especulativamente las computaciones no productivas (innecesarias) utilizando profiles. Además, estas dos optimizaciones realizan un recorrido hacia atrás de las regiones a optimizar para añadir chequeos en el código no especulativo, haciendo de esta forma la técnica autosuficiente para detectar, dinámicamente, los casos de fallo en la especulación. La idea de la optimización MBC es reordenar las instrucciones que generan el salto condicional tal que las mínimas computaciones que general la misma (correcta) salida se ejecuten en la mayoría de los casos; el resto de las computaciones se ejecutarán sólo cuando sea necesario

Description and Optimization of Abstract Machines in a Dialect of Prolog

In order to achieve competitive performance, abstract machines for Prolog and related languages end up being large and intricate, and incorporate sophisticated optimizations, both at the design and at the implementation levels. At the same time, efficiency considerations make it necessary to use low-level languages in their implementation. This makes them laborious to code, optimize, and, especially, maintain and extend. Writing the abstract machine (and ancillary code) in a higher-level language can help tame this inherent complexity. We show how the semantics of most basic components of an efficient virtual machine for Prolog can be described using (a variant of) Prolog. These descriptions are then compiled to C and assembled to build a complete bytecode emulator. Thanks to the high level of the language used and its closeness to Prolog, the abstract machine description can be manipulated using standard Prolog compilation and optimization techniques with relative ease. We also show how, by applying program transformations selectively, we obtain abstract machine implementations whose performance can match and even exceed that of state-of-the-art, highly-tuned, hand-crafted emulators.Comment: 56 pages, 46 figures, 5 tables, To appear in Theory and Practice of Logic Programming (TPLP

Automated Instruction Stream Throughput Prediction for Intel and AMD Microarchitectures

An accurate prediction of scheduling and execution of instruction streams is a necessary prerequisite for predicting the in-core performance behavior of throughput-bound loop kernels on out-of-order processor architectures. Such predictions are an indispensable component of analytical performance models, such as the Roofline and the Execution-Cache-Memory (ECM) model, and allow a deep understanding of the performance-relevant interactions between hardware architecture and loop code. We present the Open Source Architecture Code Analyzer (OSACA), a static analysis tool for predicting the execution time of sequential loops comprising x86 instructions under the assumption of an infinite first-level cache and perfect out-of-order scheduling. We show the process of building a machine model from available documentation and semi-automatic benchmarking, and carry it out for the latest Intel Skylake and AMD Zen micro-architectures. To validate the constructed models, we apply them to several assembly kernels and compare runtime predictions with actual measurements. Finally we give an outlook on how the method may be generalized to new architectures.Comment: 11 pages, 4 figures, 7 table

A general framework to realize an abstract machine as an ILP processor with application to java

Ph.DDOCTOR OF PHILOSOPH

Superscalar RISC-V Processor with SIMD Vector Extension

With the increasing number of digital products in the market, the need for robust and highly configurable processors rises. The demand is convened by the stable and extensible open-sourced RISC-V instruction set architecture. RISC-V processors are becoming popular in many fields of applications and research. This thesis presents a dual-issue superscalar RISC-V processor design with dynamic execution. The proposed design employs the global sharing scheme for branch prediction and Tomasulo algorithm for out-of-order execution. The processor is capable of speculative execution with five checkpoints. Data flow in the instruction dispatch and commit stages is optimized to achieve higher instruction throughput. The superscalar processor is extended with a customized vector instruction set of single-instruction-multiple-data computations to specifically improve the performance on machine learning tasks. According to the definition of the proposed vector instruction set, the scratchpad memory and element-wise arithmetic units are implemented in the vector co-processor. Different test programs are evaluated on the fully-tested superscalar processor. Compared to the reference work, the proposed design improves 18.9% on average instruction throughput and 4.92% on average prediction hit rate, with 16.9% higher operating clock frequency synthesized on the Intel Arria 10 FPGA board. The forward propagation of a convolution neural network model is evaluated by the standalone superscalar processor and the integration of the vector co-processor. The vector program with software-level optimizations achieves 9.53× improvement on instruction throughput and 10.18× improvement on real-time throughput. Moreover, the integration also provides 2.22× energy efficiency compared with the superscalar processor along

Optimizing SIMD execution in HW/SW co-designed processors

SIMD accelerators are ubiquitous in microprocessors from different computing domains. Their high compute power and hardware simplicity improve overall performance in an energy efficient manner. Moreover, their replicated functional units and simple control mechanism make them amenable to scaling to higher vector lengths. However, code generation for these accelerators has been a challenge from the days of their inception. Compilers generate vector code conservatively to ensure correctness. As a result they lose significant vectorization opportunities and fail to extract maximum benefits out of SIMD accelerators. This thesis proposes to vectorize the program binary at runtime in a speculative manner, in addition to the compile time static vectorization. There are different environments that support runtime profiling and optimization support required for dynamic vectorization, one of most prominent ones being: 1) Dynamic Binary Translators and Optimizers (DBTO) and 2) Hardware/Software (HW/SW) Co-designed Processors. HW/SW co-designed environment provides several advantages over DBTOs like transparent incorporations of new hardware features, binary compatibility, etc. Therefore, we use HW/SW co-designed environment to assess the potential of speculative dynamic vectorization. Furthermore, we analyze vector code generation for wider vector units and find out that even though SIMD accelerators are amenable to scaling from the hardware point of view, vector code generation at higher vector length is even more challenging. The two major factors impeding vectorization for wider SIMD units are: 1) Reduced dynamic instruction stream coverage for vectorization and 2) Large number of permutation instructions. To solve the first problem we propose Variable Length Vectorization that iteratively vectorizes for multiple vector lengths to improve dynamic instruction stream coverage. Secondly, to reduce the number of permutation instructions we propose Selective Writing that selectively writes to different parts of a vector register and avoids permutations. Finally, we tackle the problem of leakage energy in SIMD accelerators. Since SIMD accelerators consume significant amount of real estate on the chip, they become the principle source of leakage if not utilized judiciously. Power gating is one of the most widely used techniques to reduce leakage energy of functional units. However, power gating has its own energy and performance overhead associated with it. We propose to selectively devectorize the vector code when higher SIMD lanes are used intermittently. This selective devectorization keeps the higher SIMD lanes idle and power gated for maximum duration. Therefore, resulting in overall leakage energy reduction.Postprint (published version

On the Performance Gap of a Generic C Optimized Assembler and Wide Vector Extensions for Masked Software with an Ascon-{\it{p}} test case

Efficient implementations of software masked designs constitute both an important goal and a significant challenge to Side Channel Analysis attack (SCA) security. In this paper we discuss the shortfall between generic C implementations and optimized (inline-) assembly versions while providing a large spectrum of efficient and generic masked implementations for any order, and demonstrate cryptographic algorithms and masking gadgets with reference to the state of the art. Our main goal is to show the prime performance gaps we can expect between different implementations and suggest how to harness the underlying hardware efficiently, a daunting task for various masking-orders or masking algorithm (multiplications, refreshing etc.). This paper focuses on implementations targeting wide vector bitsliced designs such as the ISAP algorithm. We explore concrete instances of implementations utilizing processors enabled by wide-vector capability extensions of the AMD64 Instruction Set Architecture (ISA); namely, the SSE2/3/4.1, AVX-2 and AVX-512 Streaming Single Instruction Multiple Data (SIMD) extensions. These extensions mainly enable efficient memory level parallelism and provide a gradual reduction in computation-time as a function of the level of extension and the hardware support for instruction-level parallelism. For the first time we provide a complete open-source repository of such gadgets tailored for these extensions, various gadgets types and for all orders. We evaluate the disparities between $\mathit{generic}$ high-level language masking implementations for optimized (inline-) assembly and conventional single execution path data-path architectures such as the ARM architecture. We underscore the crucial trade-off between state storage in the data-memory as compared to keeping it in the register-file (RF). This relates specifically to masked designs, and is particularly difficult to resolve because it requires inline-assembly manipulations and is not natively supported by compilers. Moreover, as the masking order ($d$) increases and the state gets larger, there must be an increase in data memory read/write accesses for state handling since the RF is simply not large enough. This requires careful optimization which depends to a considerable extent on the underlying algorithm to implement. We discuss how full utilization of SSE extensions is not always possible; i.e. when $d$ is not a power of two, and pin-point the optimal $d$ values and very sub-optimal values of $d$ which aggressively under-utilize the hardware. More generally, this paper presents several different fully generic masked implementations for any order or multiple highly optimized (inline-) assembly instances which are quite generic (for a wide spectrum of ISAs and extensions), and provide very specific implementations targeting specific extensions. The goal is to promote open-source availability, research, improvement and implementations relating to SCA security and masked designs. The building blocks and methodologies provided here are portable and can be easily adapted to other algorithms

Optimization and validation of discontinuous Galerkin Code for the 3D Navier-Stokes equations

Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2011.This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.Cataloged from student submitted PDF version of thesis.Includes bibliographical references (p. 165-170).From residual and Jacobian assembly to the linear solve, the components of a high-order, Discontinuous Galerkin Finite Element Method (DGFEM) for the Navier-Stokes equations in 3D are presented. Emphasis is given to residual and Jacobian assembly, since these are rarely discussed in the literature; in particular, this thesis focuses on code optimization. Performance properties of DG methods are identified, including key memory bottlenecks. A detailed overview of the memory hierarchy on modern CPUs is given along with discussion on optimization suggestions for utilizing the hierarchy efficiently. Other programming suggestions are also given, including the process for rewriting residual and Jacobian assembly using matrix-matrix products. Finally, a validation of the performance of the 3D, viscous DG solver is presented through a series of canonical test cases.by Eric Hung-Lin Liu.S.M