Cache Analysis of Non-uniform Distribution Sorting Algorithms

We analyse the average-case cache performance of distribution sorting algorithms in the case when keys are independently but not necessarily uniformly distributed. The analysis is for both ‘in-place’ and ‘out-of-place’ distribution sorting algorithms and is more accurate than the analysis presented in [13]. In particular, this new analysis yields tighter upper and lower bounds when the keys are drawn from a uniform distribution. We use this analysis to tune the performance of the integer sorting algorithm MSB radix sort when it is used to sort independent uniform floating-point numbers (floats). Our tuned MSB radix sort algorithm comfortably outperforms a cache-tuned implementations of bucketsort [11] and Quicksort when sorting uniform floats from [0, 1).