A Machine Assignment Mechanism for Compile-Time List-Scheduling Heuristics

Finding an optimal solution for a scheduling problem is NP-complete. Therefore, it is necessary to use heuristics to find a good schedule rather than evaluating all possible schedules. List scheduling is generally accepted as an attractive approach, since it combines low complexity with good results. List scheduling consists of two phases: a task prioritization phase where a certain priority is computed and assigned to each task, and a machine assignment phase where each task (in order of its priority) is assigned a machine that minimizes a suitable cost function. This paper presents a machine assignment mechanism that can be used with any list-scheduling algorithm. The mechanism is called Reverse Duplicator Mechanism and outperforms the current mechanisms

Executing matrix multiply on a process oriented data flow machine

The Process-Oriented Dataflow System (PODS) is an execution model that combines the von Neumann and dataflow models of computation to gain the benefits of each. Central to PODS is the concept of array distribution and its effects on partitioning and mapping of processes.In PODS arrays are partitioned by simply assigning consecutive elements to each processing element (PE) equally. Since PODS uses single assignment, there will be only one producer of each element. This producing PE owns that element and will perform the necessary computations to assign it. Using this approach the filling loop is distributed across the PEs. This simple partitioning and mapping scheme provides excellent results for executing scientific code on MIMD machines. In this way PODS allows MIMD machines to exploit vector and data parallelism easily while still providing the flexibility of MIMD over SIMD for multi-user systems.In this paper, the classic matrix multiply algorithm, with 1024 data points, is executed on a PODS simulator and the results are presented and discussed. Matrix multiply is a good example because it has several interesting properties: there are multiple code-blocks; a new array must be dynamically allocated and distributed; there is a loop-carried dependency in the innermost loop; the two input arrays have different access patterns; and the sizes of the input arrays are not known at compile time. Matrix multiply also forms the basis for many important scientific algorithms such as: LU decomposition, convolution, and the Fast-Fourier Transform.The results show that PODS is comparable to both Iannucci's Hybrid Architecture and MIT's TTDA in terms of overhead and instruction power. They also show that PODS easily distributes the work load evenly across the PEs. The key result is that PODS can scale matrix multiply in a near linear fashion until there is little or no work to be performed for each PE. Then overhead and message passing become a major component of the execution time. With larger problems (e.g., >/=16k data points) this limit would be reached at around 256 PEs

Static Scheduling for Barrier MIMD Architectures

Barrier MIMDs are asynchronous Multiple Instruction stream Multiple Data stream architectures capable of parallel execution of variable-execution-time instructions and arbitrary control flow (e.g., w h ile loops and calls); however, they differ from conventional MIMDs in that the need for run-time synchronization is significantly reduced. Whenever a group of processors within a barrier MIMD encounters a synchronization point (barrier), static timing constraints become precise, hence, conceptual synchronizations between the processors often can be statically resolved with zero cost — as in a SIMD or VLIW and using similar compiler technology. Unlike these machines, however, as execution continues past the synchronization point the accuracy within which the compiler can track the relative timing between processors is reduced. Where this imprecision becomes too large, the compiler simply inserts a synchronization barrier to insure that timing imprecision at that point is zero, and again employs static, implicit synchronization. This paper describes new scheduling and barrier placement algorithms for barrier MIMDs that are based loosely on the list scheduling approach employed for VLIWs [Elli85]. In addition, the experimental results from scheduling more than 3500 synthetic benchmark programs for a parameterized barrier MIMD machine are presented

A C-DAG task model for scheduling complex real-time tasks on heterogeneous platforms: preemption matters

Recent commercial hardware platforms for embedded real-time systems feature heterogeneous processing units and computing accelerators on the same System-on-Chip. When designing complex real-time application for such architectures, the designer needs to make a number of difficult choices: on which processor should a certain task be implemented? Should a component be implemented in parallel or sequentially? These choices may have a great impact on feasibility, as the difference in the processor internal architectures impact on the tasks' execution time and preemption cost. To help the designer explore the wide space of design choices and tune the scheduling parameters, in this paper we propose a novel real-time application model, called C-DAG, specifically conceived for heterogeneous platforms. A C-DAG allows to specify alternative implementations of the same component of an application for different processing engines to be selected off-line, as well as conditional branches to model if-then-else statements to be selected at run-time. We also propose a schedulability analysis for the C-DAG model and a heuristic allocation algorithm so that all deadlines are respected. Our analysis takes into account the cost of preempting a task, which can be non-negligible on certain processors. We demonstrate the effectiveness of our approach on a large set of synthetic experiments by comparing with state of the art algorithms in the literature

Packet Transactions: High-level Programming for Line-Rate Switches

Many algorithms for congestion control, scheduling, network measurement, active queue management, security, and load balancing require custom processing of packets as they traverse the data plane of a network switch. To run at line rate, these data-plane algorithms must be in hardware. With today's switch hardware, algorithms cannot be changed, nor new algorithms installed, after a switch has been built. This paper shows how to program data-plane algorithms in a high-level language and compile those programs into low-level microcode that can run on emerging programmable line-rate switching chipsets. The key challenge is that these algorithms create and modify algorithmic state. The key idea to achieve line-rate programmability for stateful algorithms is the notion of a packet transaction : a sequential code block that is atomic and isolated from other such code blocks. We have developed this idea in Domino, a C-like imperative language to express data-plane algorithms. We show with many examples that Domino provides a convenient and natural way to express sophisticated data-plane algorithms, and show that these algorithms can be run at line rate with modest estimated die-area overhead.Comment: 16 page

Optimal Code Scheduling for Multiple Pipeline Processors

Pipelining the functional units and memory interface of processors can result in shorter cycle times and dramatic increases in performance, but only if the pipeline delays can be hidden by other useful operations. The portion of pipeline delays which is not hidden results in an extension of the total execution time, either implemented by hardware interlocks or by compile-time insertion of NOPs (Null Operations). By rearranging instructions, it is possible to minimize the total pipelined execution time, but the problem of finding this optimal code schedule is well known to be NP-complete. In this thesis, we describe a code scheduler for multiple pipeline processors where each pipeline may have a different latency and enqueue time. Previous approaches simplify the search for a good schedule by arbitrarily imposing constraints which sacrifice optimality; the technique given in this paper uses a new set of pruning criteria which preserves optimality. Although, in the interest of reducing compile time, the new technique permits the search to be truncated, this truncation only rarely (in less than 2% of the cases examined) sacrifices optimalit

Working Notes from the 1992 AAAI Spring Symposium on Practical Approaches to Scheduling and Planning

The symposium presented issues involved in the development of scheduling systems that can deal with resource and time limitations. To qualify, a system must be implemented and tested to some degree on non-trivial problems (ideally, on real-world problems). However, a system need not be fully deployed to qualify. Systems that schedule actions in terms of metric time constraints typically represent and reason about an external numeric clock or calendar and can be contrasted with those systems that represent time purely symbolically. The following topics are discussed: integrating planning and scheduling; integrating symbolic goals and numerical utilities; managing uncertainty; incremental rescheduling; managing limited computation time; anytime scheduling and planning algorithms, systems; dependency analysis and schedule reuse; management of schedule and plan execution; and incorporation of discrete event techniques

Running stream-like programs on heterogeneous multi-core systems

All major semiconductor companies are now shipping multi-cores. Phones, PCs, laptops, and mobile internet devices will all require software that can make effective use of these cores. Writing high-performance parallel software is difficult, time-consuming and error prone, increasing both time-to-market and cost. Software outlives hardware; it typically takes longer to develop new software than hardware, and legacy software tends to survive for a long time, during which the number of cores per system will increase. Development and maintenance productivity will be improved if parallelism and technical details are managed by the machine, while the programmer reasons about the application as a whole. Parallel software should be written using domain-specific high-level languages or extensions. These languages reveal implicit parallelism, which would be obscured by a sequential language such as C. When memory allocation and program control are managed by the compiler, the program's structure and data layout can be safely and reliably modified by high-level compiler transformations. One important application domain contains so-called stream programs, which are structured as independent kernels interacting only through one-way channels, called streams. Stream programming is not applicable to all programs, but it arises naturally in audio and video encode and decode, 3D graphics, and digital signal processing. This representation enables high-level transformations, including kernel unrolling and kernel fusion. This thesis develops new compiler and run-time techniques for stream programming. The first part of the thesis is concerned with a statically scheduled stream compiler. It introduces a new static partitioning algorithm, which determines which kernels should be fused, in order to balance the loads on the processors and interconnects. A good partitioning algorithm is crucial if the compiler is to produce efficient code. The algorithm also takes account of downstream compiler passes---specifically software pipelining and buffer allocation---and it models the compiler's ability to fuse kernels. The latter is important because the compiler may not be able to fuse arbitrary collections of kernels. This thesis also introduces a static queue sizing algorithm. This algorithm is important when memory is distributed, especially when local stores are small. The algorithm takes account of latencies and variations in computation time, and is constrained by the sizes of the local memories. The second part of this thesis is concerned with dynamic scheduling of stream programs. First, it investigates the performance of known online, non-preemptive, non-clairvoyant dynamic schedulers. Second, it proposes two dynamic schedulers for stream programs. The first is specifically for one-dimensional stream programs. The second is more general: it does not need to be told the stream graph, but it has slightly larger overhead. This thesis also introduces some support tools related to stream programming. StarssCheck is a debugging tool, based on Valgrind, for the StarSs task-parallel programming language. It generates a warning whenever the program's behaviour contradicts a pragma annotation. Such behaviour could otherwise lead to exceptions or race conditions. StreamIt to OmpSs is a tool to convert a streaming program in the StreamIt language into a dynamically scheduled task based program using StarSs.Totes les empreses de semiconductors produeixen actualment multi-cores. Mòbils,PCs, portàtils, i dispositius mòbils d’Internet necessitaran programari quefaci servir eficientment aquests cores. Escriure programari paral·lel d’altrendiment és difícil, laboriós i propens a errors, incrementant tant el tempsde llançament al mercat com el cost. El programari té una vida més llarga queel maquinari; típicament pren més temps desenvolupar nou programi que noumaquinari, i el programari ja existent pot perdurar molt temps, durant el qualel nombre de cores dels sistemes incrementarà. La productivitat dedesenvolupament i manteniment millorarà si el paral·lelisme i els detallstècnics són gestionats per la màquina, mentre el programador raona sobre elconjunt de l’aplicació.El programari paral·lel hauria de ser escrit en llenguatges específics deldomini. Aquests llenguatges extrauen paral·lelisme implícit, el qual és ocultatper un llenguatge seqüencial com C. Quan l’assignació de memòria i lesestructures de control són gestionades pel compilador, l’estructura iorganització de dades del programi poden ser modificades de manera segura ifiable per les transformacions d’alt nivell del compilador.Un dels dominis de l’aplicació importants és el que consta dels programes destream; aquest programes són estructurats com a nuclis independents queinteractuen només a través de canals d’un sol sentit, anomenats streams. Laprogramació de streams no és aplicable a tots els programes, però sorgeix deforma natural en la codificació i descodificació d’àudio i vídeo, gràfics 3D, iprocessament de senyals digitals. Aquesta representació permet transformacionsd’alt nivell, fins i tot descomposició i fusió de nucli.Aquesta tesi desenvolupa noves tècniques de compilació i sistemes en tempsd’execució per a programació de streams. La primera part d’aquesta tesi esfocalitza amb un compilador de streams de planificació estàtica. Presenta unnou algorisme de partició estàtica, que determina quins nuclis han de serfusionats, per tal d’equilibrar la càrrega en els processadors i en lesinterconnexions. Un bon algorisme de particionat és fonamental per tal de queel compilador produeixi codi eficient. L’algorisme també té en compte elspassos de compilació subseqüents---específicament software pipelining il’arranjament de buffers---i modela la capacitat del compilador per fusionarnuclis. Aquesta tesi també presenta un algorisme estàtic de redimensionament de cues.Aquest algorisme és important quan la memòria és distribuïda, especialment quanles memòries locals són petites. L’algorisme té en compte latències ivariacions en els temps de càlcul, i considera el límit imposat per la mida deles memòries locals.La segona part d’aquesta tesi es centralitza en la planificació dinàmica deprogrames de streams. En primer lloc, investiga el rendiment dels planificadorsdinàmics online, non-preemptive i non-clairvoyant. En segon lloc, proposa dosplanificadors dinàmics per programes de stream. El primer és específicament pera programes de streams unidimensionals. El segon és més general: no necessitael graf de streams, però els overheads són una mica més grans.Aquesta tesi també presenta un conjunt d’eines de suport relacionades amb laprogramació de streams. StarssCheck és una eina de depuració, que és basa enValgrind, per StarSs, un llenguatge de programació paral·lela basat en tasques.Aquesta eina genera un avís cada vegada que el comportament del programa estàen contradicció amb una anotació pragma. Aquest comportament d’una altra manerapodria causar excepcions o situacions de competició. StreamIt to OmpSs és unaeina per convertir un programa de streams codificat en el llenguatge StreamIt aun programa de tasques en StarSs planificat de forma dinàmica.Postprint (published version

Task scheduling techniques for asymmetric multi-core systems

As performance and energy efficiency have become the main challenges for next-generation high-performance computing, asymmetric multi-core architectures can provide solutions to tackle these issues. Parallel programming models need to be able to suit the needs of such systems and keep on increasing the application’s portability and efficiency. This paper proposes two task scheduling approaches that target asymmetric systems. These dynamic scheduling policies reduce total execution time either by detecting the longest or the critical path of the dynamic task dependency graph of the application, or by finding the earliest executor of a task. They use dynamic scheduling and information discoverable during execution, fact that makes them implementable and functional without the need of off-line profiling. In our evaluation we compare these scheduling approaches with two existing state-of the art heterogeneous schedulers and we track their improvement over a FIFO baseline scheduler. We show that the heterogeneous schedulers improve the baseline by up to 1.45 in a real 8-core asymmetric system and up to 2.1 in a simulated 32-core asymmetric chip.This work has been supported by the Spanish Government (SEV2015-0493), by the Spanish Ministry of Science and Innovation (contract TIN2015-65316-P), by Generalitat de Catalunya (contracts 2014-SGR-1051 and 2014-SGR-1272), by the RoMoL ERC Advanced Grant (GA 321253) and the European HiPEAC Network of Excellence. The Mont-Blanc project receives funding from the EU’s Seventh Framework Programme (FP7/2007-2013) under grant agreement no 610402 and from the EU’s H2020 Framework Programme (H2020/2014-2020) under grant agreement no 671697. M. Moretó has been partially supported by the Ministry of Economy and Competitiveness under Juan de la Cierva postdoctoral fellowship number JCI-2012-15047. M. Casas is supported by the Secretary for Universities and Research of the Ministry of Economy and Knowledge of the Government of Catalonia and the Cofund programme of the Marie Curie Actions of the 7th R&D Framework Programme of the European Union (Contract 2013 BP B 00243).Peer ReviewedPostprint (author's final draft