inverse_with_uniroot_sorted {nhppp}

Numerically evaluate the inverse of a monotonically increasing continuous function from R to R at specific points.

Description

Numerically evaluate the inverse of a monotonically increasing continuous function from R to R at specific points.

Usage

inverse_with_uniroot_sorted(
  f,
  y,
  range_x = c(0, 10),
  range_y = c(f(range_x[1]), f(range_x[2]))
)

Arguments

f

(function) the function to be inverted; must be continuous and increasing

y

(vector, double) the f(x)=y values in which to evaluate the inverse; must be in ascending order

range_x

(vector, double) the min and max of the domain of f()

range_y

(vector, double) the min and max in the range of f()

Value

(vector, double) vector of x=f^(-1)(y): the inverted values

Examples

inverse_with_uniroot_sorted(f = function(x) {
  2 * x
}, y = c(0, 0.5))