roct {onion}

Random onionic vectors

Description

Random quaternion or octonion vectors and matrices

Usage

rquat(n=5)
roct(n=5)
rsquat(n=11,s=12)
rsoct(n=11,s=12)
romat(type="quaternion", nrow=5, ncol=6, ...)
rsomat(type="quaternion", nrow=5, ncol=6, ...)

Arguments

n

Length of random vector returned

nrow, ncol, ...

Further arguments specifying properties of the returned matrix

s

In the sparse functions rsquat() and rsoct(), an integer specifying the level of sparsity, with higher values meaning to return sparser onions

type

string specifying type of elements

Details

Function rquat() returns a quaternionic vector, roct() returns an octonionic vector, and romat() a quaternionic matrix.

Functions rquat() and roct() give a quick “get you going” random onion to play with. Function romat() gives a simple onionmat, although arguably matrix(roct(4),2,2) is as convenient.

The “sparse” functions rsquat() and rsoct() and rsomat() return onions that have many zero entries; non-zero entries are small integers. They showcase the print method for the case when show_onions_compactly is set.

Author(s)

Robin K. S. Hankin

References

K. Shoemake 1992. “Uniform random rotations”. In D. Kirk, editor, Graphics Gems III pages 129-130. Academic, New York.

Examples

rquat(3)
roct(3)
plot(roct(30))

romat()


rsquat()
rsoct()