Programming Models\u27 Support for Heterogeneous Architecture

Accelerator-enhanced computing platforms have drawn a lot of attention due to their massive peak computational capacity. Heterogeneous systems equipped with accelerators such as GPUs have become the most prominent components of High Performance Computing (HPC) systems. Even at the node level the significant heterogeneity of CPU and GPU, i.e. hardware and memory space differences, leads to challenges for fully exploiting such complex architectures. Extending outside the node scope, only escalate such challenges. Conventional programming models such as data- ow and message passing have been widely adopted in HPC communities. When moving towards heterogeneous systems, the lack of GPU integration causes such programming models to struggle in handling the heterogeneity of different computing units, leading to sub-optimal performance and drastic decrease in developer productivity. To bridge the gap between underlying heterogeneous architectures and current programming paradigms, we propose to extend such programming paradigms with architecture awareness optimization. Two programming models are used to demonstrate the impact of heterogeneous architecture awareness. The PaRSEC task-based runtime, an adopter of the data- ow model, provides opportunities for overlapping communications with computations and minimizing data movements, as well as dynamically adapting the work granularity to the capability of the hardware. To fulfill the demand of an efficient and portable Message Passing Interface (MPI) implementation to communicate GPU data, a GPU-aware design is presented based on the Open MPI infrastructure supporting efficient point-to-point and collective communications of GPU-residential data, for both contiguous and non-contiguous memory layouts, by leveraging GPU network topology and hardware capabilities such as GPUDirect. The tight integration of GPU support in a widely used programming environment, free the developers from manually move data into/out of host memory before/after relying on MPI routines for communications, allowing them to focus instead on algorithmic optimizations. Experimental results have confirmed that supported by such a tight and transparent integration, conventional programming models can once again take advantage of the state-of-the-art hardware and exhibit performance at the levels expected by the underlying hardware capabilities

Resolution of Linear Algebra for the Discrete Logarithm Problem Using GPU and Multi-core Architectures

In cryptanalysis, solving the discrete logarithm problem (DLP) is key to assessing the security of many public-key cryptosystems. The index-calculus methods, that attack the DLP in multiplicative subgroups of finite fields, require solving large sparse systems of linear equations modulo large primes. This article deals with how we can run this computation on GPU- and multi-core-based clusters, featuring InfiniBand networking. More specifically, we present the sparse linear algebra algorithms that are proposed in the literature, in particular the block Wiedemann algorithm. We discuss the parallelization of the central matrix--vector product operation from both algorithmic and practical points of view, and illustrate how our approach has contributed to the recent record-sized DLP computation in GF($2^{809}$).Comment: Euro-Par 2014 Parallel Processing, Aug 2014, Porto, Portugal. \<http://europar2014.dcc.fc.up.pt/\&gt

Toward Performance-Portable PETSc for GPU-based Exascale Systems

The Portable Extensible Toolkit for Scientific computation (PETSc) library delivers scalable solvers for nonlinear time-dependent differential and algebraic equations and for numerical optimization.The PETSc design for performance portability addresses fundamental GPU accelerator challenges and stresses flexibility and extensibility by separating the programming model used by the application from that used by the library, and it enables application developers to use their preferred programming model, such as Kokkos, RAJA, SYCL, HIP, CUDA, or OpenCL, on upcoming exascale systems. A blueprint for using GPUs from PETSc-based codes is provided, and case studies emphasize the flexibility and high performance achieved on current GPU-based systems.Comment: 15 pages, 10 figures, 2 table

An efficient hardware-aware matrix-free implementation for finite-element discretized matrix-multivector products

The finite-element (FE) discretization of a partial differential equation usually involves the construction of a FE discretized operator and computing its action on trial FE discretized fields for the solution of a linear system of equations or eigenvalue problems and is traditionally computed using global sparse-vector multiplication modules. However, recent hardware-aware algorithms for evaluating such matrix-vector multiplications suggest that on-the-fly matrix-vector products without building and storing the cell-level dense matrices reduce both arithmetic complexity and memory footprint and are referred to as matrix-free approaches. These approaches exploit the tensor-structured nature of the FE polynomial basis for evaluating the underlying integrals and, the current state-of-the-art matrix-free implementations deal with the action of FE discretized matrix on a single vector. These are neither optimal nor readily applicable for matrix-multivector products involving a large number of vectors. We discuss a computationally efficient and scalable matrix-free implementation procedure to compute the FE discretized matrix-multivector products on multi-node CPU and GPU architectures. The accuracy and performance of our implementation is assessed on the problem of computing FE overlap (mass) matrix-multivector multiplications as a representative benchmark example, and we observe superior performance of our implementation. For instance, computational gains up to 2.9x on GPU architectures and 6x on CPU-only architectures are observed for matrix-multivector products compared to the FE cell-level matrix-multiplication approach for the case of 100 vectors. We further benchmark our performance against the matrix-free module in deal.II and speedups up to 2x are observed for multivectors on CPU-only architectures and 1.5x on GPUs.Comment: 5 pages, 7 figure

Movement and placement of non-contiguous data in distributed GPU computing

A steady increase in accelerator performance has driven demand for faster interconnects to avert the memory bandwidth wall. This has resulted in the wide adoption of heterogeneous systems with varying underlying interconnects, and has delegated the task of understanding and copying data to the system or application developer. Data transfer performance on these systems is now impacted by many factors including data transfer modality, system interconnects hardware details, CPU caching state, CPU power management state, driver policies, virtual memory paging efficiency, and data placement. This work finds that empirical communication measurements can be used to automatically schedule and execute intra- and inter-node communication in a modern heterogeneous system, providing ``hand-tuned'' performance without the need for complex or error-prone communication development at the application level. Empirical measurements are provided by a set of microbenchmarks designed for system and application developers to understand memory transfer behavior across different data placement and exchange scenarios. These benchmarks are the first comprehensive evaluation of all GPU communication primitives. For communication-heavy applications, optimally using communication capabilities is challenging and essential for performance. Two different approaches are examined. The first is a high-level 3D stencil communication library, which can automatically create a static communication plan based on the stencil and system parameters. This library is able to reduce the iteration time of a state-of-the-art stencil code by 1.45x at 3072 GPUs and 512 nodes. The second is a more general MPI interposer library, with novel non-contiguous data handling and runtime implementation selection for MPI communication primitives. A portable pure-MPI halo exchange is brought to within half the speed of the stencil-specific library, supported by a five order-of-magnitude improvement in MPI communication latency for non-contiguous data

UPC++ v1.0 Programmer’s Guide, Revision 2020.3.0

UPC++ is a C++11 library that provides Partitioned Global Address Space (PGAS) programming. It is designed for writing parallel programs that run efficiently and scale well on distributed-memory parallel computers. The PGAS model is single program, multiple-data (SPMD), with each separate constituent process having access to local memory as it would in C++. However, PGAS also provides access to a global address space, which is allocated in shared segments that are distributed over the processes. UPC++ provides numerous methods for accessing and using global memory. In UPC++, all operations that access remote memory are explicit, which encourages programmers to be aware of the cost of communication and data movement. Moreover, all remote-memory access operations are by default asynchronous, to enable programmers to write code that scales well even on hundreds of thousands of cores

Scalable communication for high-order stencil computations using CUDA-aware MPI

Modern compute nodes in high-performance computing provide a tremendous level of parallelism and processing power. However, as arithmetic performance has been observed to increase at a faster rate relative to memory and network bandwidths, optimizing data movement has become critical for achieving strong scaling in many communication-heavy applications. This performance gap has been further accentuated with the introduction of graphics processing units, which can provide by multiple factors higher throughput in data-parallel tasks than central processing units. In this work, we explore the computational aspects of iterative stencil loops and implement a generic communication scheme using CUDA-aware MPI, which we use to accelerate magnetohydrodynamics simulations based on high-order finite differences and third-order Runge-Kutta integration. We put particular focus on improving intra-node locality of workloads. In comparison to a theoretical performance model, our implementation exhibits strong scaling from one to $64$ devices at $50\%$--$87\%$ efficiency in sixth-order stencil computations when the problem domain consists of $256^3$--$1024^3$ cells.Comment: 17 pages, 15 figure

Toward Reliable and Efficient Message Passing Software for HPC Systems: Fault Tolerance and Vector Extension

As the scale of High-performance Computing (HPC) systems continues to grow, researchers are devoted themselves to achieve the best performance of running long computing jobs on these systems. My research focus on reliability and efficiency study for HPC software. First, as systems become larger, mean-time-to-failure (MTTF) of these HPC systems is negatively impacted and tends to decrease. Handling system failures becomes a prime challenge. My research aims to present a general design and implementation of an efficient runtime-level failure detection and propagation strategy targeting large-scale, dynamic systems that is able to detect both node and process failures. Using multiple overlapping topologies to optimize the detection and propagation, minimizing the incurred overhead sand guaranteeing the scalability of the entire framework. Results from different machines and benchmarks compared to related works shows that my design and implementation outperforms non-HPC solutions significantly, and is competitive with specialized HPC solutions that can manage only MPI applications. Second, I endeavor to implore instruction level parallelization to achieve optimal performance. Novel processors support long vector extensions, which enables researchers to exploit the potential peak performance of target architectures. Intel introduced Advanced Vector Extension (AVX512 and AVX2) instructions for x86 Instruction Set Architecture (ISA). Arm introduced Scalable Vector Extension (SVE) with a new set of A64 instructions. Both enable greater parallelisms. My research utilizes long vector reduction instructions to improve the performance of MPI reduction operations. Also, I use gather and scatter feature to speed up the packing and unpacking operation in MPI. The evaluation of the resulting software stack under different scenarios demonstrates that the approach is not only efficient but also generalizable to many vector architecture and efficient