bilogis

Some neat logistic functions with fixed endpoints

Ever wanted to use a logistic function but were annoyed that it didn't exactly fit your domain/range? Look no further! These functions fix endpoints to your logistic curves and give consistent curve-forms on any definite domain. Also included are half-logistic functions with the same properties, and analytic derivatives of all up to second order.
Usage example:

x = [x_1, x_2, x_3, ..., x_n];
bendParam = 10;
lo = min(x); %inf of original domain; can be something other than min(x)
hi = max(x);
newlo = 0; %inf of transformed domain
newhi = 5;

xnew = bilogis(x, bendParam, lo, hi, newlo, newhi);