cir_coord_conv

Theta_to_X

X_to_Theta

Transformation between a matrix <code>Theta</code> containing
<code>M</code> circular samples of size <code>n</code> on \([0, 2\pi)\) and an array
<code>X</code> containing the associated Cartesian coordinates on
\(S^1:=\{{\bf x}\in R^2:||{\bf x}||=1\}\).

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

cir_coord_conv function

<dl><dt>Theta</dt>
<dd>a matrix of size <code>c(n, M)</code> with <code>M</code> samples
of size <code>n</code> of circular data on \([0, 2\pi)\). Must not contain
<code>NA</code>'s.</dd>
<dt>X</dt>
<dd>an array of size <code>c(n, 2, M)</code> containing the Cartesian
coordinates of <code>M</code> samples of size <code>n</code> of directions on
\(S^{1}\). Must not contain <code>NA</code>'s.</dd></dl>

Arguments

Transforming between polar and Cartesian coordinates — cir_coord_conv

<dl>

<dt>Theta</dt>
<dd>a matrix of size <code>c(n, M)</code> with <code>M</code> samples
of size <code>n</code> of circular data on \([0, 2\pi)\). Must not contain
<code>NA</code>'s.</dd>


<dt>X</dt>
<dd>an array of size <code>c(n, 2, M)</code> containing the Cartesian
coordinates of <code>M</code> samples of size <code>n</code> of directions on
\(S^{1}\). Must not contain <code>NA</code>'s.</dd>

</dl>

cir_coord_conv: Transforming between polar and Cartesian coordinates

Description

Usage

Value

Arguments

Examples