Software Coherence in Multiprocessor Memory Systems

Processors are becoming faster and multiprocessor memory interconnection systems are not keeping up. Therefore, it is necessary to have threads and the memory they access as near one another as possible. Typically, this involves putting memory or caches with the processors, which gives rise to the problem of coherence: if one processor writes an address, any other processor reading that address must see the new value. This coherence can be maintained by the hardware or with software intervention. Systems of both types have been built in the past; the hardware-based systems tended to outperform the software ones. However, the ratio of processor to interconnect speed is now so high that the extra overhead of the software systems may no longer be significant. This issue is explored both by implementing a software maintained system and by introducing and using the technique of offline optimal analysis of memory reference traces. It finds that in properly built systems, software maintained coherence can perform comparably to or even better than hardware maintained coherence. The architectural features necessary for efficient software coherence to be profitable include a small page size, a fast trap mechanism, and the ability to execute instructions while remote memory references are outstanding

Dynamic computation migration in distributed shared memory systems

Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1995.Vita.Includes bibliographical references (p. 123-131).by Wilson Cheng-Yi Hsieh.Ph.D

QuickStep, a system for performance monitoring and debugging parallel applications on the Alewife multiprocessor

Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1995.Includes bibliographical references (leaves 77-78).by Sramana Mitra.M.S

Automatic Parallelization of Affine Loops using Dependence and Cache analysis in a Binary Rewriter

Today, nearly all general-purpose computers are parallel, but nearly all software running on them is serial. Bridging this disconnect by manually rewriting source code in parallel is prohibitively expensive. Automatic parallelization technology is therefore an attractive alternative. We present a method to perform automatic parallelization in a binary rewriter. The input to the binary rewriter is the serial binary executable program and the output is a parallel binary executable. The advantages of parallelization in a binary rewriter versus a compiler include (i) compatibility with all compilers and languages; (ii) high economic feasibility from avoiding repeated compiler implementation; (iii) applicability to legacy binaries; and (iv) applicability to assembly-language programs. Adapting existing parallelizing compiler methods that work on source code to work on binary programs instead is a significant challenge. This is primarily because symbolic and array index information used in existing compiler parallelizers is not available in a binary. We show how to adapt existing parallelization methods to achieve equivalent parallelization from a binary without such information. We have also designed a affine cache reuse model that works inside a binary rewriter building on the parallelization techniques. It quantifies cache reuse in terms of the number of cache lines that will be required when a loop dimension is considered for the innermost position in a loop nest. This cache metric can be used to reason about affine code that results when affine code is transformed using affine transformations. Hence, it can be used to evaluate candidate transformation sequences to improve run-time directly from a binary. Results using our x86 binary rewriter called SecondWrite on a suite of dense- matrix regular programs from Polybench suite of benchmarks shows an geomean speedup of 6.81X from binary and 8.9X from source with 8 threads compared to the input serial binary on a x86 Xeon E5530 machine; and 8.31X from binary and 9.86X from source with 24 threads compared to the input serial binary on a x86 E7450 machine. Such regular loops are an important component of scientific and multi- media workloads, and are even present to a limited extent in otherwise non-regular programs. Further in this thesis we present a novel algorithm that enhances the past techniques significantly for loops with unknown loop bounds by guessing the loop bounds using only the memory expressions present in a loop. It then inserts run-time checks to see if these guesses were indeed correct and if correct executes the parallel version of the loop, else the serial version executes. These techniques are applied to the large affine benchmarks in SPEC2006 and OMP2001 and unlike previous methods the speedups from binary are as good as from source. We also present results on the number of loops parallelized directly from a binary with and without this algorithm. Among the 8 affine benchmarks among these suites, the best existing binary parallelization method achieves an geo-mean speedup of 1.33X, whereas our method achieves a speedup of 2.96X. This is close to the speedup from source code of 2.8X

Hypergraph-Based Interconnection Networks for Large Multicomputers

This thesis deals with issues pertaining to multicomputer interconnection networks namely topology, technology, switching method, and routing algorithm. It argues that a new class of regular low-dimensional hypergraph networks, the distributed crossbar switch hypermesh (DCSH), represents a promising alternative high-performance interconnection network for future large multicomputers to graph networks such as meshes, tori, and binary n-cubes, which have been widely used in current multicomputers. Channels in existing hypergraph and graph structures suffer from bandwidth limitations imposed by implementation technology. The first part of the thesis shows how the low-dimensional DCSH can use an innovative implementation scheme to alleviate this problem. It relies on the separation of processing and communication functions by physical layering in order to accommodate high wiring density and necessary message buffering, improving performance considerably. Various mathematical models of the DCSH, validated through discrete-event simulation, are then introduced. Effects of different switching methods (e.g., wormhole routing, virtual cut-through, and message switching), routing algorithms (e.g., restricted and random), and different switching element designs are investigated. Further, the impact on performance of different communication patterns, such as those including locality and hot-spots, are assessed. The remainder of the thesis compares the DCSH to other common hypergraph and graph networks assuming different implementation technologies, such as VLSI, multiple-chip technology, and the new layered implementation scheme. More realistic assumptions are introduced such as pipeline-bit transmission and non-zero delays through switching elements. The results show that the proposed structure has superior characteristics assuming equal implementation cost in both VLSI and multiple-chip technology. Furthermore, optimal performance is offered by the new layered implementation

Cherub: A hardware distributed single shared address space memory architecture

Increased computer throughput can be achieved through the use of parallel processing. The granularity of a parallel program is the average number of instructions performed by the tasks constituting it. Coarse-grained programs typically execute huge numbers of instructions per task (w 105). The tasks in fine-grained programs are typically short (æ 103). In general, the finer the program grain, the greater the potential for exploiting parallelism. Amdahl’s Law shows that in the absence of overheads, the more potential parallelism that is realised in an algorithm, the faster it will be. The economical granularity of tasks is determined by the intertask communications overhead. Break-even occurs when processing is approximately equally divided between useful work and overhead. The two common parallel programming paradigms are shared variable and message passing. Shared variable is, in general, the more natural of the two as it allows implicit communication between tasks. This encourages the programmer to make use of fine-grained tasks. The message passing paradigm requires explicit communication between tasks. This encourages the programmer to use coarser-grained tasks. Two kinds of parallel architecture have become established. The first is the multiprocessor, which is built around a shared bus giving broadcast communications and a shared memory. This is characterised by low communications overhead, but limited scalability. The second is the multicomputer, which is based on point-to-point communications with larger communications overhead, but good scalability. Quantitatively, the low overhead of the multiprocessor is well matched to fine-grain tasks and, hence, to supporting the shared variable paradigm, while the high overhead of the multicomputer matches it to coarse-grain parallelism and, hence, to the message passing paradigm. Currently, there appears to be no middle ground in parallel computing; an architecture which can support both several hundred medium-grained (« 104 instructions) parallel tasks and the shared variable programming paradigm would be advantageous in many applications. This thesis asserts that it is possible to implement a new computer architecture, Cherub, which has at least 200 processors and is able to support shared variable programming with an optimal task granularity of around 104 instructions. This can be achieved through the combination of a hardware-based distributed shared single address space and a wafer-scale communications network. To support the thesis, the dissertation first specifies a programmer’s interface to Cherub which is simple enough to implement in hardware. It then designs algorithms which provide this interface, allowing the requirements of the underlying network to be estimated. Finally, a wafer scale communications network is outlined, and simulations are used to demonstrate that it can provide the performance required to successfully implement Cherub

Performance evaluation of distributed crossbar switch hypermesh

The interconnection network is one of the most crucial components in any multicomputer as it greatly influences the overall system performance. Several recent studies have suggested that hypergraph networks, such as the Distributed Crossbar Switch Hypermesh (DCSH), exhibit superior topological and performance characteristics over many traditional graph networks, e.g. k-ary n-cubes. Previous work on the DCSH has focused on issues related to implementation and performance comparisons with existing networks. These comparisons have so far been confined to deterministic routing and unicast (one-to-one) communication. Using analytical models validated through simulation experiments, this thesis extends that analysis to include adaptive routing and broadcast communication. The study concentrates on wormhole switching, which has been widely adopted in practical multicomputers, thanks to its low buffering requirement and the reduced dependence of latency on distance under low traffic. Adaptive routing has recently been proposed as a means of improving network performance, but while the comparative evaluation of adaptive and deterministic routing has been widely reported in the literature, the focus has been on graph networks. The first part of this thesis deals with adaptive routing, developing an analytical model to measure latency in the DCSH, and which is used throughout the rest of the work for performance comparisons. Also, an investigation of different routing algorithms in this network is presented. Conventional k-ary n-cubes have been the underlying topology of contemporary multicomputers, but it is only recently that adaptive routing has been incorporated into such systems. The thesis studies the relative performance merits of the DCSH and k-ary n-cubes under adaptive routing strategy. The analysis takes into consideration real-world factors, such as router complexity and bandwidth constraints imposed by implementation technology. However, in any network, the routing of unicast messages is not the only factor in traffic control. In many situations (for example, parallel iterative algorithms, memory update and invalidation procedures in shared memory systems, global notification of network errors), there is a significant requirement for broadcast traffic. The DCSH, by virtue of its use of hypergraph links, can implement broadcast operations particularly efficiently. The second part of the thesis examines how the DCSH and k-ary n-cube performance is affected by the presence of a broadcast traffic component. In general, these studies demonstrate that because of their relatively high diameter, k-ary n-cubes perform poorly when message lengths are short. This is consistent with earlier more simplistic analyses which led to the proposal for the express-cube, an enhancement of the basic k-ary n-cube structure, which provides additional express channels, allowing messages to bypass groups of nodes along their paths. The final part of the thesis investigates whether this "partial bypassing" can compete with the "total bypassing" capability provided inherently by the DCSH topology

Performance analysis of wormhole routing in multicomputer interconnection networks

Perhaps the most critical component in determining the ultimate performance potential of a multicomputer is its interconnection network, the hardware fabric supporting communication among individual processors. The message latency and throughput of such a network are affected by many factors of which topology, switching method, routing algorithm and traffic load are the most significant. In this context, the present study focuses on a performance analysis of k-ary n-cube networks employing wormhole switching, virtual channels and adaptive routing, a scenario of especial interest to current research. This project aims to build upon earlier work in two main ways: constructing new analytical models for k-ary n-cubes, and comparing the performance merits of cubes of different dimensionality. To this end, some important topological properties of k-ary n-cubes are explored initially; in particular, expressions are derived to calculate the number of nodes at/within a given distance from a chosen centre. These results are important in their own right but their primary significance here is to assist in the construction of new and more realistic analytical models of wormhole-routed k-ary n-cubes. An accurate analytical model for wormhole-routed k-ary n-cubes with adaptive routing and uniform traffic is then developed, incorporating the use of virtual channels and the effect of locality in the traffic pattern. New models are constructed for wormhole k-ary n-cubes, with the ability to simulate behaviour under adaptive routing and non-uniform communication workloads, such as hotspot traffic, matrix-transpose and digit-reversal permutation patterns. The models are equally applicable to unidirectional and bidirectional k-ary n-cubes and are significantly more realistic than any in use up to now. With this level of accuracy, the effect of each important network parameter on the overall network performance can be investigated in a more comprehensive manner than before. Finally, k-ary n-cubes of different dimensionality are compared using the new models. The comparison takes account of various traffic patterns and implementation costs, using both pin-out and bisection bandwidth as metrics. Networks with both normal and pipelined channels are considered. While previous similar studies have only taken account of network channel costs, our model incorporates router costs as well thus generating more realistic results. In fact the results of this work differ markedly from those yielded by earlier studies which assumed deterministic routing and uniform traffic, illustrating the importance of using accurate models to conduct such analyses

Mixed integer programming on transputers

Mixed Integer Programming (MIP) problems occur in many industries and their practical solution can be challenging in terms of both time and effort. Although faster computer hardware has allowed the solution of more MIP problems in reasonable times, there will come a point when the hardware cannot be speeded up any more. One way of improving the solution times of MIP problems without further speeding up the hardware is to improve the effectiveness of the solution algorithm used. The advent of accessible parallel processing technology and techniques provides the opportunity to exploit any parallelism within MIP solving algorithms in order to accelerate the solution of MIP problems. Many of the MIP problem solving algorithms in the literature contain a degree of exploitable parallelism. Several algorithms were considered as candidates for parallelisation within the constraints imposed by the currently available parallel hardware and techniques. A parallel Branch and Bound algorithm was designed for and implemented on an array of transputers hosted by a PC. The parallel algorithm was designed to operate as a process farm, with a master passing work to various slave processors. A message-passing harness was developed to allow full control of the slaves and the work sent to them. The effects of using various node selection techniques were studied and a default node selection strategy decided upon for the parallel algorithm. The parallel algorithm was also designed to take full advantage of the structure of MIP problems formulated using global entities such as general integers and special ordered sets. The presence of parallel processors makes practicable the idea of performing more than two branches on an unsatisfied global entity. Experiments were carried out using multiway branching strategies and a default branching strategy decided upon for appropriate types of MIP problem