这个kernel的 block_size = InputSize = sharedMemory size, 通过一个threadBlock完成scan,这个情况搜限制于blocksize的大小,一般是1024,所以在数据量不大的时候(即logN不大),这个算法比较快,可以考虑使用。 3. Prefix Sum并行算法二 4.2 CUDA Reduction 一步一步优化里面介绍的思
在上一篇文章 中我们讨论了CUDA中如何实现高效Reduction, 这次来讨论下一个经典问题,Prefix Sum, 也被称为Scan/Prefix Scan等。Scan 是非常多重要问题比如排序的子问题,所以基本是进阶必学问题之一。 问题定义 首先我们不严谨地定义这个问题,输入一个数组input[n], 计算新数组output[n], 使得对于任意元素output[i...
主要参考英伟达在2007年发的一篇技术文档Parallel Prefix Sum (Scan) with CUDA 问题分析 乍一看前缀和更像是在做串行的计算,而不是并行的,c++代码如下 prefix_sum[0] = 0; for (int i = 1; i < N; i++) { prefix_sum[i] = prefix_sum[i - 1] + data[i - 1]; } 那应该怎么办?英伟达给...
Chapter 39. Parallel Prefix Sum (Scan) with CUDAMark Harris NVIDIA CorporationShubhabrata Sengupta University of California, DavisJohn D. Owens University of California, Davis39.1 IntroductionA simple and common parallel algorithm building block is the all-prefix-sums operation. In this chapter, we ...
Chapter 39. Parallel Prefix Sum (Scan) with CUDAMark Harris NVIDIA CorporationShubhabrata Sengupta University of California, DavisJohn D. Owens University of California, Davis39.1 IntroductionA simple and common parallel algorithm building block is the all-prefix-sums operation. In this chapter,...
GPUPrefixSums aims to bring state-of-the-art GPU prefix sum techniques from CUDA and make them available in portable compute shaders. In addition to this, it contributes "Decoupled Fallback," a novel fallback technique for Chained Scan with Decoupled Lookback that should allow devices without ...
Our goal is to develop such a CUDA algorithm that results in the best possible performance per single access. Let B be the number of blocks and Th be the number of threads of our program. We conduct tests based on the following 224 possible combinations of the values of B, Th, and N...
Parallel Prefix Sum (SCAN) using CUDAJoel Svensson, Niklas SörenssonMarch 4, 2009
Parallel algorithmGPUCUDAThe main contribution of this paper is to show optimal algorithms computing the sum and the prefix-sums on two memory machine models, the Discrete Memory Machine (DMM) and the Unified Memory Machine (UMM). The DMM and the UMM are theoretical parallel computing models ...
Parallel Prefix Sum (Scan) with CUDA April 2007 3 Introduction A simple and common parallel algorithm building block is the all-prefix-sums operation. In this paper we will define and illustrate the operation, and discuss in detail its efficient ...