angles_to_torus {polykde} | R Documentation |
Conversion between the angular and Cartesian coordinates of the torus
Description
Transforms the angles (\theta_1,\ldots,\theta_d)
in
[-\pi,\pi)^d
into the Cartesian coordinates
(\cos(x_1), \sin(x_1),\ldots,\cos(x_d), \sin(x_d))
of the torus (\mathcal{S}^1)^d
, and vice versa.
Usage
angles_to_torus(theta)
torus_to_angles(x)
Arguments
theta |
matrix of size |
x |
matrix of size |
Value
angles_to_torus
: the matrixx
.torus_to_angles
: the matrixtheta
.
Examples
# Check changes of coordinates
torus_to_angles(angles_to_torus(c(0, pi / 3, pi / 2)))
torus_to_angles(angles_to_torus(rbind(c(0, pi / 3, pi / 2), c(0, 1, -2))))
angles_to_torus(torus_to_angles(c(0, 1, 1, 0)))
angles_to_torus(torus_to_angles(rbind(c(0, 1, 1, 0), c(0, 1, 0, 1))))
[Package polykde version 1.1.4 Index]