| checkUnitSphere {multIntTestFunc} | R Documentation |
Domain check for unit sphere \{\vec{x} \in R^n : \Vert \vec{x} \Vert_{2} = 1\}
Description
The function checks if a point (one row in the input argument) is inside the unit sphere \{\vec{x} \in R^n : \Vert \vec{x} \Vert_2 = 1\} or not.
If the input matrix contains entries that are not numeric, i.e., not representing real numbers, the function throws an error.
The dimension n is automatically inferred from the input matrix and is equal to the number of columns.
The function allows for an additional parameter \varepsilon\geq 0 to test \{\vec{x} \in R^n : 1-\varepsilon \leq \Vert \vec{x} \Vert_2 \leq 1 + \varepsilon\}.
WARNING: Due to floating point arithmetic the default value of \varepsilon=0 will not work properly in most cases.
Usage
checkUnitSphere(x, eps = 0)
Arguments
x |
Matrix with numeric entries. Each row represents one point |
eps |
Non-negative numeric that allows to test points with an additional tolerance |
Value
Vector where each element (TRUE or FALSE) indicates if a point is in the unit sphere
Author(s)
Klaus Herrmann
Examples
x <- matrix(rnorm(30),10,3)
checkUnitSphere(x,eps=0.001)