Compiler Construction for Hardware Acceleration: Challenges and Opportunities
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Redundancy Elimination Common Subexpression Elimination
Redundancy Elimination Aim: Eliminate redundant operations in dynamic execution Why occur? Loop-invariant code: Ex: constant assignment in loop Same expression computed Ex: addressing Value numbering is an example Requires dataflow analysis Other optimizations: Constant subexpression elimination Loop-invariant code motion Partial redundancy elimination Common Subexpression Elimination Replace recomputation of expression by use of temp which holds value Ex. (s1) y := a + b Ex. (s1) temp := a + b (s1') y := temp (s2) z := a + b (s2) z := temp Illegal? How different from value numbering? Ex. (s1) read(i) (s2) j := i + 1 (s3) k := i i + 1, k+1 (s4) l := k + 1 no cse, same value number Why need temp? Local and Global ¡ Local CSE (BB) Ex. (s1) c := a + b (s1) t1 := a + b (s2) d := m&n (s1') c := t1 (s3) e := a + b (s2) d := m&n (s4) m := 5 (s5) if( m&n) ... (s3) e := t1 (s4) m := 5 (s5) if( m&n) ... 5 instr, 4 ops, 7 vars 6 instr, 3 ops, 8 vars Always better? Method: keep track of expressions computed in block whose operands have not changed value CSE Hash Table (+, a, b) (&,m, n) Global CSE example i := j i := j a := 4*i t := 4*i i := i + 1 i := i + 1 b := 4*i t := 4*i b := t c := 4*i c := t Assumes b is used later ¡ Global CSE An expression e is available at entry to B if on every path p from Entry to B, there is an evaluation of e at B' on p whose values are not redefined between B' and B. -
Polyhedral Compilation As a Design Pattern for Compiler Construction
Polyhedral Compilation as a Design Pattern for Compiler Construction PLISS, May 19-24, 2019 [email protected] Polyhedra? Example: Tiles Polyhedra? Example: Tiles How many of you read “Design Pattern”? → Tiles Everywhere 1. Hardware Example: Google Cloud TPU Architectural Scalability With Tiling Tiles Everywhere 1. Hardware Google Edge TPU Edge computing zoo Tiles Everywhere 1. Hardware 2. Data Layout Example: XLA compiler, Tiled data layout Repeated/Hierarchical Tiling e.g., BF16 (bfloat16) on Cloud TPU (should be 8x128 then 2x1) Tiles Everywhere Tiling in Halide 1. Hardware 2. Data Layout Tiled schedule: strip-mine (a.k.a. split) 3. Control Flow permute (a.k.a. reorder) 4. Data Flow 5. Data Parallelism Vectorized schedule: strip-mine Example: Halide for image processing pipelines vectorize inner loop https://halide-lang.org Meta-programming API and domain-specific language (DSL) for loop transformations, numerical computing kernels Non-divisible bounds/extent: strip-mine shift left/up redundant computation (also forward substitute/inline operand) Tiles Everywhere TVM example: scan cell (RNN) m = tvm.var("m") n = tvm.var("n") 1. Hardware X = tvm.placeholder((m,n), name="X") s_state = tvm.placeholder((m,n)) 2. Data Layout s_init = tvm.compute((1,n), lambda _,i: X[0,i]) s_do = tvm.compute((m,n), lambda t,i: s_state[t-1,i] + X[t,i]) 3. Control Flow s_scan = tvm.scan(s_init, s_do, s_state, inputs=[X]) s = tvm.create_schedule(s_scan.op) 4. Data Flow // Schedule to run the scan cell on a CUDA device block_x = tvm.thread_axis("blockIdx.x") 5. Data Parallelism thread_x = tvm.thread_axis("threadIdx.x") xo,xi = s[s_init].split(s_init.op.axis[1], factor=num_thread) s[s_init].bind(xo, block_x) Example: Halide for image processing pipelines s[s_init].bind(xi, thread_x) xo,xi = s[s_do].split(s_do.op.axis[1], factor=num_thread) https://halide-lang.org s[s_do].bind(xo, block_x) s[s_do].bind(xi, thread_x) print(tvm.lower(s, [X, s_scan], simple_mode=True)) And also TVM for neural networks https://tvm.ai Tiling and Beyond 1. -
Optimal Software Pipelining: Integer Linear Programming Approach
OPTIMAL SOFTWARE PIPELINING: INTEGER LINEAR PROGRAMMING APPROACH by Artour V. Stoutchinin Schooi of Cornputer Science McGill University, Montréal A THESIS SUBMITTED TO THE FACULTYOF GRADUATESTUDIES AND RESEARCH IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF MASTEROF SCIENCE Copyright @ by Artour V. Stoutchinin Acquisitions and Acquisitions et Bibliographie Services services bibliographiques 395 Wellington Street 395. nie Wellington Ottawa ON K1A ON4 Ottawa ON KI A ON4 Canada Canada The author has granted a non- L'auteur a accordé une licence non exclusive licence allowing the exclusive permettant à la National Library of Canada to Bibliothèque nationale du Canada de reproduce, loan, distribute or sell reproduire, prêter, distribuer ou copies of this thesis in microform, vendre des copies de cette thèse sous paper or electronic formats. la fome de microfiche/^, de reproduction sur papier ou sur format électronique. The author retains ownership of the L'auteur conserve la propriété du copyright in this thesis. Neither the droit d'auteur qui protège cette thèse. thesis nor substantialextracts fiom it Ni la thèse ni des extraits substantiels may be printed or otherwise de celle-ci ne doivent être imprimés reproduced without the author's ou autrement reproduits sans son permission. autorisation- Acknowledgements First, 1 thank my family - my Mom, Nina Stoutcliinina, my brother Mark Stoutchinine, and my sister-in-law, Nina Denisova, for their love, support, and infinite patience that comes with having to put up with someone like myself. I also thank rny father, Viatcheslav Stoutchinin, who is no longer with us. Without them this thesis could not have had happened. -
Decoupled Software Pipelining with the Synchronization Array
Decoupled Software Pipelining with the Synchronization Array Ram Rangan Neil Vachharajani Manish Vachharajani David I. August Department of Computer Science Princeton University {ram, nvachhar, manishv, august}@cs.princeton.edu Abstract mentally affect run-time performance of the code. Out-of- order (OOO) execution mitigates this problem to an extent. Despite the success of instruction-level parallelism (ILP) Rather than stalling when a consumer, whose dependences optimizations in increasing the performance of micropro- are not satisfied, is encountered, the OOO processor will ex- cessors, certain codes remain elusive. In particular, codes ecute instructions from after the stalled consumer. Thus, the containing recursive data structure (RDS) traversal loops compiler can now safely assume average latency since ac- have been largely immune to ILP optimizations, due to tual latencies longer than the average will not necessarily the fundamental serialization and variable latency of the lead to execution stalls. loop-carried dependence through a pointer-chasing load. Unfortunately, the predominant type of variable latency To address these and other situations, we introduce decou- instruction, memory loads, have worst case latencies (i.e., pled software pipelining (DSWP), a technique that stati- cache-miss latencies) so large that it is often difficult to find cally splits a single-threaded sequential loop into multi- sufficiently many independent instructions after a stalled ple non-speculative threads, each of which performs use- consumer. As microprocessors become wider and the dis- ful computation essential for overall program correctness. parity between processor speeds and memory access laten- The resulting threads execute on thread-parallel architec- cies grows [8], this problem is exacerbated since it is un- tures such as simultaneous multithreaded (SMT) cores or likely that dynamic scheduling windows will grow as fast chip multiprocessors (CMP), expose additional instruction as memory access latencies. -
VLIW Architectures Lisa Wu, Krste Asanovic
CS252 Spring 2017 Graduate Computer Architecture Lecture 10: VLIW Architectures Lisa Wu, Krste Asanovic http://inst.eecs.berkeley.edu/~cs252/sp17 WU UCB CS252 SP17 Last Time in Lecture 9 Vector supercomputers § Vector register versus vector memory § Scaling performance with lanes § Stripmining § Chaining § Masking § Scatter/Gather CS252, Fall 2015, Lecture 10 © Krste Asanovic, 2015 2 Sequential ISA Bottleneck Sequential Superscalar compiler Sequential source code machine code a = foo(b); for (i=0, i< Find independent Schedule operations operations Superscalar processor Check instruction Schedule dependencies execution CS252, Fall 2015, Lecture 10 © Krste Asanovic, 2015 3 VLIW: Very Long Instruction Word Int Op 1 Int Op 2 Mem Op 1 Mem Op 2 FP Op 1 FP Op 2 Two Integer Units, Single Cycle Latency Two Load/Store Units, Three Cycle Latency Two Floating-Point Units, Four Cycle Latency § Multiple operations packed into one instruction § Each operation slot is for a fixed function § Constant operation latencies are specified § Architecture requires guarantee of: - Parallelism within an instruction => no cross-operation RAW check - No data use before data ready => no data interlocks CS252, Fall 2015, Lecture 10 © Krste Asanovic, 2015 4 Early VLIW Machines § FPS AP120B (1976) - scientific attached array processor - first commercial wide instruction machine - hand-coded vector math libraries using software pipelining and loop unrolling § Multiflow Trace (1987) - commercialization of ideas from Fisher’s Yale group including “trace scheduling” - available -
A Tiling Perspective for Register Optimization Fabrice Rastello, Sadayappan Ponnuswany, Duco Van Amstel
A Tiling Perspective for Register Optimization Fabrice Rastello, Sadayappan Ponnuswany, Duco van Amstel To cite this version: Fabrice Rastello, Sadayappan Ponnuswany, Duco van Amstel. A Tiling Perspective for Register Op- timization. [Research Report] RR-8541, Inria. 2014, pp.24. hal-00998915 HAL Id: hal-00998915 https://hal.inria.fr/hal-00998915 Submitted on 3 Jun 2014 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. A Tiling Perspective for Register Optimization Łukasz Domagała, Fabrice Rastello, Sadayappan Ponnuswany, Duco van Amstel RESEARCH REPORT N° 8541 May 2014 Project-Teams GCG ISSN 0249-6399 ISRN INRIA/RR--8541--FR+ENG A Tiling Perspective for Register Optimization Lukasz Domaga la∗, Fabrice Rastello†, Sadayappan Ponnuswany‡, Duco van Amstel§ Project-Teams GCG Research Report n° 8541 — May 2014 — 21 pages Abstract: Register allocation is a much studied problem. A particularly important context for optimizing register allocation is within loops, since a significant fraction of the execution time of programs is often inside loop code. A variety of algorithms have been proposed in the past for register allocation, but the complexity of the problem has resulted in a decoupling of several important aspects, including loop unrolling, register promotion, and instruction reordering. -
Loop Transformations and Parallelization
Loop transformations and parallelization Claude Tadonki LAL/CNRS/IN2P3 University of Paris-Sud [email protected] December 2010 Claude Tadonki Loop transformations and parallelization C. Tadonki – Loop transformations Introduction Most of the time, the most time consuming part of a program is on loops. Thus, loops optimization is critical in high performance computing. Depending on the target architecture, the goal of loops transformations are: improve data reuse and data locality efficient use of memory hierarchy reducing overheads associated with executing loops instructions pipeline maximize parallelism Loop transformations can be performed at different levels by the programmer, the compiler, or specialized tools. At high level, some well known transformations are commonly considered: loop interchange loop (node) splitting loop unswitching loop reversal loop fusion loop inversion loop skewing loop fission loop vectorization loop blocking loop unrolling loop parallelization Claude Tadonki Loop transformations and parallelization C. Tadonki – Loop transformations Dependence analysis Extract and analyze the dependencies of a computation from its polyhedral model is a fundamental step toward loop optimization or scheduling. Definition For a given variable V and given indexes I1, I2, if the computation of X(I1) requires the value of X(I2), then I1 ¡ I2 is called a dependence vector for variable V . Drawing all the dependence vectors within the computation polytope yields the so-called dependencies diagram. Example The dependence vectors are (1; 0); (0; 1); (¡1; 1). Claude Tadonki Loop transformations and parallelization C. Tadonki – Loop transformations Scheduling Definition The computation on the entire domain of a given loop can be performed following any valid schedule.A timing function tV for variable V yields a valid schedule if and only if t(x) > t(x ¡ d); 8d 2 DV ; (1) where DV is the set of all dependence vectors for variable V . -
Static Instruction Scheduling for High Performance on Limited Hardware
This article has been accepted for publication in a future issue of this journal, but has not been fully edited. Content may change prior to final publication. Citation information: DOI 10.1109/TC.2017.2769641, IEEE Transactions on Computers 1 Static Instruction Scheduling for High Performance on Limited Hardware Kim-Anh Tran, Trevor E. Carlson, Konstantinos Koukos, Magnus Själander, Vasileios Spiliopoulos Stefanos Kaxiras, Alexandra Jimborean Abstract—Complex out-of-order (OoO) processors have been designed to overcome the restrictions of outstanding long-latency misses at the cost of increased energy consumption. Simple, limited OoO processors are a compromise in terms of energy consumption and performance, as they have fewer hardware resources to tolerate the penalties of long-latency loads. In worst case, these loads may stall the processor entirely. We present Clairvoyance, a compiler based technique that generates code able to hide memory latency and better utilize simple OoO processors. By clustering loads found across basic block boundaries, Clairvoyance overlaps the outstanding latencies to increases memory-level parallelism. We show that these simple OoO processors, equipped with the appropriate compiler support, can effectively hide long-latency loads and achieve performance improvements for memory-bound applications. To this end, Clairvoyance tackles (i) statically unknown dependencies, (ii) insufficient independent instructions, and (iii) register pressure. Clairvoyance achieves a geomean execution time improvement of 14% for memory-bound applications, on top of standard O3 optimizations, while maintaining compute-bound applications’ high-performance. Index Terms—Compilers, code generation, memory management, optimization ✦ 1 INTRODUCTION result in a sub-optimal utilization of the limited OoO engine Computer architects of the past have steadily improved that may stall the core for an extended period of time. -
Incremental Computation of Static Single Assignment Form
Incremental Computation of Static Single Assignment Form Jong-Deok Choi 1 and Vivek Sarkar 2 and Edith Schonberg 3 IBM T.J. Watson Research Center, P. O. Box 704, Yorktown Heights, NY 10598 ([email protected]) 2 IBM Software Solutions Division, 555 Bailey Avenue, San Jose, CA 95141 ([email protected]) IBM T.J. Watson Research Center, P. O. Box 704, Yorktown Heights, NY 10598 ([email protected]) Abstract. Static single assignment (SSA) form is an intermediate rep- resentation that is well suited for solving many data flow optimization problems. However, since the standard algorithm for building SSA form is exhaustive, maintaining correct SSA form throughout a multi-pass com- pilation process can be expensive. In this paper, we present incremental algorithms for restoring correct SSA form after program transformations. First, we specify incremental SSA algorithms for insertion and deletion of a use/definition of a variable, and for a large class of updates on intervals. We characterize several cases for which the cost of these algorithms will be proportional to the size of the transformed region and hence poten- tially much smaller than the cost of the exhaustive algorithm. Secondly, we specify customized SSA-update algorithms for a set of common loop transformations. These algorithms are highly efficient: the cost depends at worst on the size of the transformed code, and in many cases the cost is independent of the loop body size and depends only on the number of loops. 1 Introduction Static single assignment (SSA) [8, 6] form is a compact intermediate program representation that is well suited to a large number of compiler optimization algorithms, including constant propagation [19], global value numbering [3], and program equivalence detection [21]. -
Compiler-Based Code-Improvement Techniques
Compiler-Based Code-Improvement Techniques KEITH D. COOPER, KATHRYN S. MCKINLEY, and LINDA TORCZON Since the earliest days of compilation, code quality has been recognized as an important problem [18]. A rich literature has developed around the issue of improving code quality. This paper surveys one part of that literature: code transformations intended to improve the running time of programs on uniprocessor machines. This paper emphasizes transformations intended to improve code quality rather than analysis methods. We describe analytical techniques and specific data-flow problems to the extent that they are necessary to understand the transformations. Other papers provide excellent summaries of the various sub-fields of program analysis. The paper is structured around a simple taxonomy that classifies transformations based on how they change the code. The taxonomy is populated with example transformations drawn from the literature. Each transformation is described at a depth that facilitates broad understanding; detailed references are provided for deeper study of individual transformations. The taxonomy provides the reader with a framework for thinking about code-improving transformations. It also serves as an organizing principle for the paper. Copyright 1998, all rights reserved. You may copy this article for your personal use in Comp 512. Further reproduction or distribution requires written permission from the authors. 1INTRODUCTION This paper presents an overview of compiler-based methods for improving the run-time behavior of programs — often mislabeled code optimization. These techniques have a long history in the literature. For example, Backus makes it quite clear that code quality was a major concern to the implementors of the first Fortran compilers [18]. -
Introduction to Software Pipelining in the IA-64 Architecture
Introduction to Software Pipelining in the IA-64 Architecture ® IA-64 Software Programs This presentation is an introduction to software pipelining in the IA-64 architecture. It is recommended that the reader have some exposure to the IA-64 architecture prior to viewing this presentation. Page 1 Agenda Objectives What is software pipelining? IA-64 architectural support Assembly code example Compiler support Summary ® IA-64 Software Programs Page 2 Objectives Introduce the concept of software pipelining (SWP) Understand the IA-64 architectural features that support SWP See an assembly code example Know how to enable SWP in compiler ® IA-64 Software Programs Page 3 What is Software Pipelining? ® IA-64 Software Programs Page 4 Software Pipelining Software performance technique that overlaps the execution of consecutive loop iterations Exploits instruction level parallelism across iterations ® IA-64 Software Programs Software Pipelining (SWP) is the term for overlapping the execution of consecutive loop iterations. SWP is a performance technique that can be done in just about every computer architecture. SWP is closely related to loop unrolling. Page 5 Software Pipelining i = 1 i = 1 i = 2 i = 1 i = 2 i = 3 i = 1 i = 2 i = 3 i = 4 Time i = 2 i = 3 i = 4 i = 5 i = 3 i = 4 i = 5 i = 6 i = 4 i = 5 i = 6 i = 5 i = 6 i = 6 ® IA-64 Software Programs Here is a conceptual block diagram of a software pipeline. The loop code is separated into four pipeline stages. Six iterations of the loop are shown (i = 1 to 6). -
Register Assignment for Software Pipelining with Partitioned Register Banks
Register Assignment for Software Pipelining with Partitioned Register Banks Jason Hiser Steve Carr Philip Sweany Department of Computer Science Michigan Technological University Houghton MI 49931-1295 ¡ jdhiser,carr,sweany ¢ @mtu.edu Steven J. Beaty Metropolitan State College of Denver Department of Mathematical and Computer Sciences Campus Box 38, P. O. Box 173362 Denver, CO 80217-3362 [email protected] Abstract Trends in instruction-level parallelism (ILP) are putting increased demands on a machine’s register resources. Computer architects are adding increased numbers of functional units to allow more instruc- tions to be executed in parallel, thereby increasing the number of register ports needed. This increase in ports hampers access time. Additionally, aggressive scheduling techniques, such as software pipelining, are requiring more registers to attain high levels of ILP. These two factors make it difficult to maintain a single monolithic register bank. One possible solution to the problem is to partition the register banks and connect each functional unit to a subset of the register banks, thereby decreasing the number of register ports required. In this type of architecture, if a functional unit needs access to a register to which it is not directly connected, a delay is incurred to copy the value so that the proper functional unit has access to it. As a consequence, the compiler now must not only schedule code for maximum parallelism but also for minimal delays due to copies. In this paper, we present a greedy framework for generating code for architectures with partitioned register banks. Our technique is global in nature and can be applied using any scheduling method £ This research was supported by NSF grant CCR-9870871 and a grant from Texas Instruments.