WEEK10: recursion --------------------------------------------------------------- M: more recursive functions REVERSE A STRING: - can you write a recursive function to reverse a string? $ python revstr.py string: we love computer science reversed: ecneics retupmoc evol ew Hint: if you have a string, s, and a working recursive revstr function, what will revstr(s[1:]) + s[0] give you?? What is the base case/stop-the-recursion condition for this one?? def revstr(str): """ Use recursion to reverse a given string. """ if len(str) <= 1: return str else: return revstr(str[1:]) + str[0] and just for fun, here is the non-recursive version: def NRrevstr(str): """ Non-Recursive version """ rs = "" for i in range(len(str)-1, -1, -1): rs = rs + str[i] return rs GRAPHICS: - can you write a recursive function to draw concentric circles? here's how it would be called from main: reccircle(cenpt, size, color, win) your function should draw a circle at the given center point, with the given size and color, then call itself again with a smaller size. when should the recursion end? def reccircle(p, radius, color, w): """ draw recursive circles """ if radius > 1: c = Circle(p, radius) c.setOutline(color) c.draw(w) reccircle(p, radius*0.45, color, w)

So far all of the recursive functions we have looked at could easily be written without recursion. How about the following image? Can you think of ways to create it with and without recursion?