Octonions and Quaternions

Quaternions and Octonions are four- and eight- dimensional extensions of the complex numbers. They are normed division algebras over the real numbers and find applications in spatial rotations (quaternions), and string theory and relativity (octonions). The quaternions are noncommutative and the octonions nonassociative. See the package vignette for more details.

Hinton Diagrams for 'ggplot2'

Provides a 'ggplot2' extension for drawing Hinton diagrams, a visualisation technique for numerical matrices in which the area of each square is proportional to the magnitude of the corresponding entry. For signed data, white squares indicate positive values and black squares indicate negative values on a grey background. Hinton diagrams are especially useful for visualising PCA weight matrices, correlation matrices, and transition matrices.

Efficient Evaluation of Quadratic Forms

A range of quadratic forms are evaluated, using efficient methods. Unnecessary transposes are not performed. Complex values are handled consistently.

Bayesian Emulation of Computer Programs

Allows one to estimate the output of a computer program, as a function of the input parameters, without actually running it. The computer program is assumed to be a Gaussian process, whose parameters are estimated using Bayesian techniques that give a PDF of expected program output. This PDF is conditional on a training set of runs, each consisting of a point in parameter space and the model output at that point. The emphasis is on complex codes that take weeks or months to run, and that have a large number of undetermined input parameters; many climate prediction models fall into this class. The emulator essentially determines Bayesian posterior estimates of the PDF of the output of a model, conditioned on results from previous runs and a user-specified prior linear model. The package includes functionality to evaluate quadratic forms efficiently.

R Interface to the A/B Street Transport System Simulation Software

Provides functions to convert origin-destination data, represented as straight 'desire lines' in the 'sf' Simple Features class system, into JSON files that can be directly imported into A/B Street < https://www.abstreet.org>, a free and open source tool for simulating urban transport systems and scenarios of change .

The Free Algebra

The free algebra in R with non-commuting indeterminates. Uses 'disordR' discipline (Hankin, 2022, ). To cite the package in publications please use Hankin (2022) .

Cycle Routing and Data for Cycling Advocacy

An interface to the cycle routing/data services provided by 'CycleStreets', a not-for-profit social enterprise and advocacy organisation. The application programming interfaces (APIs) provided by 'CycleStreets' are documented at (< https://www.cyclestreets.net/api/>). The focus of this package is the journey planning API, which aims to emulate the routes taken by a knowledgeable cyclist. An innovative feature of the routing service of its provision of fastest, quietest and balanced profiles. These represent routes taken to minimise time, avoid traffic and compromise between the two, respectively.

Work with Open Road Traffic Casualty Data from Great Britain

Work with and download road traffic casualty data from Great Britain. Enables access to the UK's official road safety statistics, 'STATS19'. Enables users to specify a download directory for the data, which can be set permanently by adding `STATS19_DOWNLOAD_DIRECTORY=/path/to/a/dir` to your `.Renviron` file, which can be opened with `usethis::edit_r_environ()`. The data is provided as a series of `.csv` files. This package downloads, reads-in and formats the data, making it suitable for analysis. See the stats19 vignette for details. Data available from 1979 to 2025. See the official data series at < https://www.data.gov.uk/dataset/cb7ae6f0-4be6-4935-9277-47e5ce24a11f/road-accidents-safety-data>. The package is described in a paper in the Journal of Open Source Software (Lovelace et al. 2019) . See Gilardi et al. (2022) , Vidal-Tortosa et al. (2021) , Tait et al. (2023) , and León et al. (2025) for examples of how the data can be used for methodological and empirical research.

ROBustness in Network

Assesses the robustness of the community structure of a network found by one or more community detection algorithm to give indications about their reliability. It detects if the community structure found by a set of algorithms is statistically significant and compares the different selected detection algorithms on the same network. robin helps to choose among different community detection algorithms the one that better fits the network of interest. Reference in Policastro V., Righelli D., Carissimo A., Cutillo L., De Feis I. (2021) < https://journal.r-project.org/archive/2021/RJ-2021-040/index.html>.

Interface Between R and the OpenStreetMap-Based Routing Service OSRM

An interface between R and the 'OSRM' API. 'OSRM' is a routing service based on 'OpenStreetMap' data. See < http://project-osrm.org/> for more information. This package enables the computation of routes, trips, isochrones and travel distances matrices (travel time and kilometric distance).