and Their ApplicationsGuy E. BlellochSchool of Computer ScienceCarnegie Mellon UniversityPittsburgh, PA 15213-38903536 Chapter 1. Prefix Sums and Their Applications1.1 IntroductionExperienced algorithm designers rely heavily on a set of building blocksand on the tools needed to put the blocks together in...
Prefix Sums and Their Applications 来自 ResearchGate 喜欢 0 阅读量: 119 作者: GE Blelloch 摘要: "Experienced algorithm designers rely heavily on a set of building blocks and on the tools needed to put the blocks together into an algorithm. The understanding of these basic blocks and tools is ...
and then we scan the blocks and write the total sum of each block to another array of block sums. We then scan the block sums, generating an array of block increments that that are added to all elements in their respective blocks. In more detail, letNbe...
[2]:http://www.enseignement.polytechnique.fr/profs/informatique/Eric.Goubault/Cours09/CUDA/SC07_CUDA_5_Optimization_Harris.pdf [3]:Blelloch, Guy E. 1990. "Prefix Sums and Their Applications." Technical Report CMU-CS-90-190, School of Computer Science, Carnegie Mellon University. [4]:https:...
E. Blelloch, "Prefix sums and their applications," Chapter 1 in Synthesis of Parallel Algorithms by J. H. Reif, Morgan Kaufmann Publishers Inc., San Mateo, California, 1993, pp. 35-60. [4] Mark Harris, "Parallel Prefix Sum (Scan) with CUDA," NVIDIA Corporation, 2008. [5] Joseph ...
As it turns out, such and many similar sums can be computed with Dirichlet convolution in , and in this article we will learn how. Let and be two arithmetic functions. Let and be their prefix sums, that is We need to compute a prefix sum of the Dirichlet convolution . In this article...
Mei, "A Residue Number System on Reconfigurable Mesh with Applications to Prefix Sums and Approximate String Matching," IEEE Trans. Parallel and Distributed Systems, vol. 11, pp. 1186-1199, 2000.A Residue Number System on Reconfigurable Mesh with Applications to Prefix Sums and Approximate String...
To implement this operation in a compute shader, we can load a chunk of input data into shared variables, compute the inner sums, synchronize with the other invocations, accumulate their results, and so on. An example compute shader that implements this algorithm is shown in Listing 10.6. ...
Prefix sums, SIMDs and the Java Vector API Given the high performance and efficiency of SIMD operations, developers will increasingly look for ways to solve data-driven problems using this approach. The prefix sum problem demonstrates is a perfect example of this. ...
Efficient pipelined multi-operand adders with high throughput and low latency: designs and applications We describe several approaches for performing multi-operand addition. Our constructions are regular and modularized, and their required circuit size and de... CH Yeh,B Parhami - Conference on Signals...