cir_coord_conv: Transforming between polar and Cartesian coordinates
In sphunif: Uniformity Tests on the Circle, Sphere, and Hypersphere

cir_coord_conv

R Documentation

Transforming between polar and Cartesian coordinates

Description

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

Usage

Theta_to_X(Theta)

X_to_Theta(X)

Arguments

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

Value

Theta_to_X: the corresponding X.
X_to_Theta: the corresponding Theta.

Examples

# Sample
Theta <- r_unif_cir(n = 10, M = 2)
X <- r_unif_sph(n = 10, p = 2, M = 2)

# Check equality
sum(abs(X - Theta_to_X(X_to_Theta(X))))
sum(abs(Theta - X_to_Theta(Theta_to_X(Theta))))

sphunif documentation built on May 29, 2024, 4:19 a.m.