utils

n_from_dist_vector

t_inv_sqrt_one

Internal and undocumented low-level utilities for
sphunif.

internal

Implementation of uniformity tests on the circle and
(hyper)sphere. The main function of the package is unif_test(), which
conveniently collects more than 35 tests for assessing uniformity on
S^{p-1} = {x in R^p : ||x|| = 1}, p >= 2. The test statistics are
implemented in the unif_stat() function, which allows computing several
statistics for different samples within a single call, thus facilitating
Monte Carlo experiments. Furthermore, the unif_stat_MC() function allows
parallelizing them in a simple way. The asymptotic null distributions of
the statistics are available through the function unif_stat_distr(). The
core of 'sphunif' is coded in C++ by relying on the 'Rcpp' package.
The package also provides several novel datasets and gives the replicability
for the data applications/simulations in García-Portugués et al. (2021)
<doi:10.1007/978-3-030-69944-4_12>, García-Portugués et al. (2023)
<doi:10.3150/21-BEJ1454>, Fernández-de-Marcos and
García-Portugués (2024) <doi:10.1016/j.spl.2024.110218>, and
García-Portugués et al. (2025) <doi:10.1080/01621459.2025.2566414>.

Eduardo Portugues

sphunif

Uniformity Tests on the Circle, Sphere, and Hypersphere

Eduardo García-Portugués

Thomas Verdebout

Alberto Fernández-de-Marcos

Paula Navarro

utils function

<dl><dt>n_dist</dt>
<dd>a positive integer \((n - 1) * n / 2\) for which \(n\)
is to be recovered.</dd>
<dt>t</dt>
<dd>a vector to evaluate \(t / \sqrt{1 - t^2}\).</dd></dl>

Arguments

Low-level utilities for sphunif — utils

<dl>

<dt>n_dist</dt>
<dd>a positive integer \((n - 1) * n / 2\) for which \(n\)
is to be recovered.</dd>


<dt>t</dt>
<dd>a vector to evaluate \(t / \sqrt{1 - t^2}\).</dd>

</dl>

utils: Low-level utilities for sphunif

Description

Usage

Arguments