Calculates the signed log of a value — signed

The signed logarithm allows a pseudo-logarithmic re-scaling to be performed on data that is both positive and negativeis. It defined as:

$\textrm{signed_log}_b(x) = \textrm{sign}(x)\log_b(|x| + 1)$

signed_log(x, base = exp(1))

unsigned_log(x, base = exp(1))

Arguments

x	a numeric vector.
base	a positive number

x <- seq(-10, 10, 0.01)
y <- signed_log(x)

plot(x, y, type = "l")

x0 <- unsigned_log(y)

plot(y, x0, type = "l")

plot(x, x0, type = "l")