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Reading: BB 5. Lecture 3: Prefix Sum, Mergesort.
Various algorithms including matrix multiplication, DFT computation, sorting, prefix sum have been successfully mapped on this architecture.
In this approach, the fitness values are grouped into SIMD lanes and the prefix sum is computed in vector-parallel mode.
15 Note that the cumulative sum is sometimes referred to as a prefix sum: there is no difference between a prefix sum and a cumulative sum.
The basis of our solution involves several variations of prefix sum in parallel [7].
In the algorithm, the arrays PSUM and SSUM mean prefix sum and suffix sum, respectively.
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Furthermore, we show that the optimal algorithms for prefix summing for these two types of operators are not equivalent.
Moreover, we present optimal or near-optimal algorithms for prefix summing for both non-commutative and commutative binary operators.
The problem of designing efficient parallel algorithms for summing and prefix summing for certain classes of the LogP model is studied.
Furthermore, the intrinsics often simplify code, and their lower shared memory usage may help improve GPU occupancy in kernels that combine prefix sums with other computation.
For applications that are less bandwidth bound, these primitives can help improve binary prefix sums performance by up to 24%, and binary reduction performance by up to 100%.
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