Context. A novel high-performance exact pair-counting toolkit called fast correlation function calculator (FCFC) is presented. Aims. With the rapid growth of modern cosmological datasets, evaluation functions with observational and simulation catalogues has become a challenge. High-efficiency codes are thus in great demand. Methods. We introduce different data structures algorithms that can be ...

We develop methods for analysing the spatial pattern of events, classified into several types, that occur on a network of lines. The motivation is the study of small protrusions called ‘spines’ which occur on the dendrite network of a neuron. The spatially varying density of spines is modelled by using relative distributions and regression trees. Spatial correlations are investigated by using c...

We describe a simple and fast algorithm for identifying friends-of-friends clusters and prove its correctness. The algorithm avoids unnecessary expensive neighbor queries, uses minimal memory overhead, and rejects slowdown in high over-density regions. We define our algorithm formally based on pair enumeration, a problem that has been heavily studied in fast 2-point correlation codes and our re...