Matlab and R codes and free software for computation of trajectory smoothness of trace fossils

The MATLAB codes and R codes, along with a free software is uploaded here to help compute trajectory smoothness of the linear trace fossils. The part of the paper titled "Smoothness analyses of trace fossils: expanding quantitative toolkits to unravel bilaterian movement ecology during the Ediacaran-Cambrian transition" to be published in Proceedings of the Royal Society B. Some basic knowledge to vectorize trace fossils and compute deviation angles series can also be found in https://doi.org/10.1111/pala.12686. The input data should be two series of numbers (x and y coordinates in any units, e.g., pixels) in txt format, and the sampling frequency should not be lower than 2.