In this section we work through the CUDA implementation of a parallel scan algorithm. We start by introducing a simple but inefficient implementation and then present improvements to both the …

This is an easy parallel divide-and-conquer algorithm: “combine” results by actually building a binary tree with all the range-sums – Tree built bottom -up in parallel

Typical Applications of Scan • Scan is a simple and useful parallel building block – Convert recurrences from sequential : for(j=1;j<n;j++) out[j] = out[j-1] + f(j); – into parallel: forall(j) { …

Parallel Prefix Sum (Scan) • Given an array A = [a 0, a 1, …, a n-1] and a binary associative operator ⊕ with identity I, • scan(A) = [I, a 0, (a 0 ⊕ a 1), …, (a 0 ⊕ a 1 ⊕ … ⊕ a n-2)] • …

Parallel prefix sum, also known as parallel Scan, is a useful building block for many parallel algorithms including sorting and building data structures. In this document we introduce Scan …

In practice, and in theory, certain scan operations, also known as prefix computations, can execute in no more time than these parallel memory references. This paper outlines an …

Parallel scan and segmented scan operations are data-parallel primitives whose broad importance is well known. Sequence compaction, radix sort, quicksort, sparse-matrix vector …

An important primitive for (data) parallel computing is the scan operation, also called pre x sum which takes an associated binary operator and an ordered set [a 1 ;:::;a n ] of n elements and …

Typical Applications of Scan ! Scan is a simple and useful parallel building block ! Convert recurrences from sequential : for(j=1;j<n;j++) out[j] = out[j-1] + f(j); ! into parallel: forall(j) { …

When dealing with lists of numbers, the operation of merging two sorted lists is a common operation in sorting algorithms. Version 1 – P1 sends its list to P2, which then performs the …