Translating python code to mathematica code

Question

I am working on a program that does some stuff with the collatz conjecture. I originally wrote it in Python as that is the language I am most familiar with:

n = []
mod = []
step = 0

def lstfill(nb,ne,lst):
    while nb <= ne:
        lst.append(nb)
        nb+=1

def collatz(n, s):
    for i in n:
        s = 0
        print "starting #", i
        while i != 1:
            if i%2==0:
                i=i/2
                s+=1
                print i
                mod.append(i%2)
            else:
                i=3*i+1
                s+=1
                print i
                mod.append(i%2)
        print "mod:", mod
        print "steps:", s

lstfill(3,6,n)
collatz(n, step)

However, there are some things I need to do that I can't really do without downloading libraries and I can't do that. So I thought I'd switch to Mathematica. Except I looked at my code and realized I had no idea how to write this code in the Mathematica language. How would I manipulate lists, or create functions, or anything like that? And what is the equivalent of the modulo operator?

Any help would be appreciated. Thanks!

Answer 1

This question demonstrates one of the best things I love about Mathematica; mathematical notation as code.

Using Esc+pw+Esc and Ctrl+Enter you can enter the function in Piecewise mathematical notation.

or by code

f[n_Integer] := Piecewise[{{n/2, Mod[n, 2] == 0}, {3*n + 1, Mod[n, 2] == 1}}]

Then with NestWhileList and the Pure Function # != 1 & for stopping,

NestWhileList[f, 8, # != 1 &]

{8, 4, 2, 1}

and with an odd number start,

NestWhileList[f, 11, # != 1 &]

{11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1}

I much prefer these two lines of code to the alternative.

Hope this helps.