Python loop of strings - why the 'none' comes? - python

I have a strange question when using python loop. It may be easy but strange to me. Say if I have a list of strings:
seqs=['AA', 'AT']
Then I want to print out elements in the list. One way (method 1) is to use for loop:
for seq in seqs:
print seq
Which works fine. Meanwhile, I define a 'print' function (method 2) to print:
def print0(s):
print s
[print0(s) for s in seqs]
If I use the 'print0' function to print out values, this is the output:
AA
AT
[None, None]
I want to know why here comes two 'None' values, since these two values doesn't come when I use the method 1? I want to do the for loop by using paralleling technic, but with the
'None' value, delayed function from joblib package can't work. Thanks.
Update: if I want do it parallel:
Parallel(n_jobs=2)(delayed(print0)(seq) for seq in seqs)
It will give an error message:
TypeError: expected string or Unicode object, NoneType found

Since you are using the interactive interpreter, which by default prints the repr() for any object returned to the top level, you see a list of None objects, which is what got returned from the calls of your print0 function. This is why it's not good practice to create a list just for its side effects, in addition to the fact that all of those objects are stored in memory (although there's only one None object, and that list will be garbage-collected as soon as you return something else to the top level - until then, it's stored in the special variable _).
You'll recognize how the interpreter displays the repr() of any object returned to the top level:
>>> 'hello'
'hello'
And it makes sense that the following literal list is displayed:
>>> [print()]
[None]
And the same for a comprehension:
>>> [print(num) for num in range(3)]
0
1
2
[None, None, None]
But it's better to use an ordinary loop. One-liners are fun, but not always ideal.
>>> for num in range(3):
... print(num)
...
0
1
2
Note that you can get odd results if a function prints one thing and returns another:
>>> def f():
... print(1)
... return 2
...
>>> [f() for num in range(3)]
1
1
1
[2, 2, 2]
>>> for num in range(3):
... f()
...
1
2
1
2
1
2
This is a demonstration of "side-effects." Try to avoid code that makes changes in two different places at once (in this case, the interactive interpreter's displayed results and the local actions of a function).

The syntax [print0(s) for s in seqs] is a List Comprehension.
It will call print0(s) for every element in seq and put the result into a list. Because print0 returns nothing, you get a list of 2 Nones.

I see such questions so often, there should be some ultimate answer to them all, which automatically triggers whenever print and None are both present in a single question...
While the answer to the question itself is trivial, what, I think, you need to really understand is a difference between a side effect and a return value. For example:
a = 10
def three(x):
global a
a += x #side effect
print x #side effect
return 3 #returning
The value our three() function returns is 3. It also has two side effects: modifying a global variable a and printing. Those are called side effects because they modify something outside of the function: the a variable and the screen state, respectively.
In your example:
def print0(s):
print s
there's no explicit return value, only a side effect (printing). In other words, it prints something on the screen and then returns nothing. That nothing is called None in Python. If you call it like this:
a = print0(3)
it prints 3 into the console. But what is the value of a now?
>>> print a
None
Now to the list comprehension. It is a concept borrowed from functional programming (Lisp, etc.) where it's called map. There's still map function in Python, so the following two lines are equivalent:
[print0(s) for s in seqs]
map(print0, seqs)
What they both do is taking the elements of the input list (seqs), one by one, applying the function (print0) to each of them and putting the results (return values), one by one, into the output list, which they return. Each time they call your print0 function, it prints its argument s on the screen (a side effect) and then returns nothing (None), which is put into the output list by list comprehension or map. If you do it in the Python interactive console, that result appears in the output ([None, None]), if not - it is still produced by the interpreter and immediately discarded, unless you pass it as an argument to another statement. Which leads us to your final line of code and the TypeError message. You pass your function to another function, which expects a string, it doesn't care about the side effects your function may produce. The context is not completely clear to me, but you probably should define your function like this:
def print0(s):
return str(s)
Now, instead of printing s on the screen, it converts it to string and then returns it. Note that if you call them inside the interactive interpreter just like print0(s), it appears they produce the same effect, which may be confusing. However, if you do a = print0(s) you will see that a is different. In some languages the last computed value automatically becomes the return value, but with Python that isn't the case for regular functions:
def times_three(x):
x*3
returns None. However, there are also lambda-functions, for which that is the case:
times_three = lambda x: x*3
times_three(5) #returns 15

None is the return value of print0(s). When using print the result will just be displayed in the stdout but not returned as result of the function. So the comprehension list evalute the function as None.
Your funtion should instead be:
def print0(s):
return s

Another way, if you want do it interactively in a one-liner is to use .join
text = ['28', '43', '6f', '72', '65', '20', '64', '6f', '6d', '70', '65', '64', '29', '0a']
''.join(chr(int(x, 16)) for x in text)

Related

Variable assignment inside for in loop

Hope you're all well with the caotic world we're living...
This might be a very beginner level question, but I'd like to understand why It is like that.
Let's say I have a list of complex:
myList = [(1.231 +2.254j), (2.875 +23.543j), ...]
I've been trying to round the values with this function:
def round_complex(x, digits):
return complex(round(x.real, digits), round(x.imag, digits))
And for doing so, I've tried this:
for item in myList:
item = round_complex(item, 2)
Expecting that myList values get changed, for example:
myList = [(1.23 +2.25j), (2.88 +23.54j), ...]
But, It does not work.
I've also tried with a more simple example, like a list of floats and the base round function from python. It also does not work.
Is there a way for me to change a value of an iterable object with this kind of for loop (for-in)?
Or do I really have to do this:
for i in range(len(myList)):
myList[i] = round_complex(myList[i], 2)
The simple answer is: NO.
Python uses a mechanism, which is known as "Call-by-Object", sometimes also called "Call by Object Reference" or "Call by Sharing" when pass function parameters.
If you pass immutable arguments like integers, strings or tuples to a function, the passing acts like call-by-value. The object reference is passed to the function parameters. They can't be changed within the function, because they can't be changed at all, i.e. they are immutable. It's different, if we pass mutable arguments. They are also passed by object reference, but they can be changed in place within the function.
So, after your iterate the list, the value (1.231 +2.254j) would be a immutable argument which your change won't affect the outside variable. But if you pass the value like [1.231 +2.254j] to function, then it will make effect like next:
test.py:
myList2 = [[(1.231 +2.254j)], [(2.875 +23.543j)]]
print(myList2)
def round_complex(x, digits):
return complex(round(x.real, digits), round(x.imag, digits))
for item2 in myList2:
item2[0] = round_complex(item2[0], 2)
print(myList2)
Execution:
$ python3 test.py
[[(1.231+2.254j)], [(2.875+23.543j)]]
[[(1.23+2.25j)], [(2.88+23.54j)]]
In a word, for you scenario, if you insist organize your input data as that & iterate with that way, you can't change the outside value directly inside the function.
You may refers to this to learn more.
The thing I understand by reading for question that you want to Assign the values of i in myList. For doing so you can use append i.e
for i in mylist:
mylist.append(round_complex(i, 2))

Need help using a mutator function in python

So I need to use a mutator method to change elements of a list in Python. I would normally do this using a function that can return a value, but for this assignment we are not allowed to return any values in the function.
Here's an example of the general idea that i'm talking about
def changeX(x):
x = 5
x = 3
changeX(x)
print(x)
The output for this would obviously be 3 since I did not change x.
So my question is, how would I approach this assignment? I need to use the mutator method to modify my variable but I'm not sure how.
You get the results you do because you pass a primitive value into your "mutator" function.
If you pass in a list, you'll see that you can change the value in place:
def changeX(x):
x[0]=3
x = [1,2,3]
changeX(x)
print (x)
It will print [3,2,3]. Check it out:
https://repl.it/EIZW/0

Python: User input as a list index

I am trying to use user input as an index for a list, but I keep getting the error "TypeError: list indices must be integers, not tuple." Here is what I have:
def sort(j, k):
sublist = list[j, k]
print sublist
sorted = sublist.sort
print sorted
operation = raw_input()
sort(operation[5], operation[7])
The user is supposed to input
SORT 3 5
and a subset of the original list will be sorted.
Your (immediate) problem is at this line:
sublist = list[j, k]
Presumably list is a list of items1. When you do somelist[a, b], python sees something equivalent to somelist[(a, b)]. So, you can see, you're indexing somelist with a tuple (which doesn't work). Chances are that you want a slice. In that case, you'll do:
sublist = list[j:k]
Even after making this change however, you'll still have problems -- Notably, j and k in your code are of type str and lists want to be indexed/sliced with integers (or None...)2. So, now we have:
sublist = list[int(j):int(k)]
At this point, you might stop seeing errors, but you won't see the results you want which brings us to the next problem.
sorted = sublist.sort
Here you're just assigning a bound method to a name. You're not actually sorting anything. If you want to sort the sublist (in place), you'd do:
sublist.sort()
print(sublist)
If you are ok with sorting it out of place, you can use the builtin sorted function (provided you haven't named something else sorted ;-)
print(sorted(sublist))
1Note, it is generally accepted that naming a variable the same thing as a builtin type can lead to hard to read and debug code :-).
2While we're at it, I might mention there is a better way to chunk up your string -- You can .split it. e.g. operation.split() will give you ['SORT', '5', '7'] rather than needing to make assumptions about the input and indexing the input string.
You have a few problems here:
Your function is called sort, which is the name of a built-in method.
You are not calling the method in this line sorted = sublist.sort (its missing ()).
You are giving each letter from the input as an argument to your function.
This: list[j,k] is what is causing your problem, because j,k is a tuple.
sort is in an in-place operation, so it will return None, which is what you will end up printing.
To fix these issues:
def my_sorter(j, k): # Changed method name
sublist = my_list[int(j):int(k)] # You need j:k
sublist.sort() # Note, no return value, because its in-place
print sublist
user_input = raw_input('Please enter the indices: ')
j,k = user_input.split()
my_sorter(j,k)

Returning a Tuple in Python function

This function that I have written thus:
def simulate_turn(num_rolls, score, opponent_score):
"""This function takes in two scores and a number of die rolls and returns
what the two scores would be if num_rolls many dice were rolled. This takes
into account the swine swap, free bacon, and hog-wild."""
x = score
y = opponent_score
x += take_turn(num_rolls,opponent_score,select_dice(score,opponent_score))
if ifwillswap(x,y):
swap(x,y)
return x,y
When run in the interactive python shell (the function comes from a .py file), it is returning an int object instead of a tuple! What am I doing wrong? I am trying to have it turn a pair of values, not a single int object.
You already do return a pair of values. Even if you somehow broke x and y somewhere along the way and had something ridiculous like this:
def example():
return None, None
a = example()
a would still hold a reference to the tuple (None, None) after the execution of that function. So you are returning a tuple of two "somethings", the only question is what are those "somethings" and how you are storing them. There is no reason for you to think that your function returns an int however, because it doesn't. No matter what, with the syntax you've used, your function returns a tuple of two types. You could even just do return x, and that would return a one-item tuple. The comma prevents you from returning just an int.
My guess is that your function swap() is maybe setting your variable y equal to None and that you are perhaps misinterpreting the returned values. As others have said, I don't see how you can see anything but a tuple as the return.

Declaring Unknown Type Variable in Python?

I have a situation in Python(cough, homework) where I need to multiply EACH ELEMENT in a given list of objects a specified number of times and return the output of the elements. The problem is that the sample inputs given are of different types. For example, one case may input a list of strings whose elements I need to multiply while the others may be ints. So my return type needs to vary. I would like to do this without having to test what every type of object is. Is there a way to do this? I know in C# i could just use "var" but I don't know if such a thing exists in Python?
I realize that variables don't have to be declared, but in this case I can't see any way around it. Here's the function I made:
def multiplyItemsByFour(argsList):
output = ????
for arg in argsList:
output += arg * 4
return output
See how I need to add to the output variable. If I just try to take away the output assignment on the first line, I get an error that the variable was not defined. But if I assign it a 0 or a "" for an empty string, an exception could be thrown since you can't add 3 to a string or "a" to an integer, etc...
Here are some sample inputs and outputs:
Input: ('a','b') Output: 'aaaabbbb'
Input: (2,3,4) Output: 36
Thanks!
def fivetimes(anylist):
return anylist * 5
As you see, if you're given a list argument, there's no need for any assignment whatsoever in order to "multiply it a given number of times and return the output". You talk about a given list; how is it given to you, if not (the most natural way) as an argument to your function? Not that it matters much -- if it's a global variable, a property of the object that's your argument, and so forth, this still doesn't necessitate any assignment.
If you were "homeworkically" forbidden from using the * operator of lists, and just required to implement it yourself, this would require assignment, but no declaration:
def multiply_the_hard_way(inputlist, multiplier):
outputlist = []
for i in range(multiplier):
outputlist.extend(inputlist)
return outputlist
You can simply make the empty list "magicaly appear": there's no need to "declare" it as being anything whatsoever, it's an empty list and the Python compiler knows it as well as you or any reader of your code does. Binding it to the name outputlist doesn't require you to perform any special ritual either, just the binding (aka assignment) itself: names don't have types, only objects have types... that's Python!-)
Edit: OP now says output must not be a list, but rather int, float, or maybe string, and he is given no indication of what. I've asked for clarification -- multiplying a list ALWAYS returns a list, so clearly he must mean something different from what he originally said, that he had to multiply a list. Meanwhile, here's another attempt at mind-reading. Perhaps he must return a list where EACH ITEM of the input list is multiplied by the same factor (whether that item is an int, float, string, list, ...). Well then:
define multiply_each_item(somelist, multiplier):
return [item * multiplier for item in somelist]
Look ma, no hands^H^H^H^H^H assignment. (This is known as a "list comprehension", btw).
Or maybe (unlikely, but my mind-reading hat may be suffering interference from my tinfoil hat, will need to go to the mad hatter's shop to have them tuned) he needs to (say) multiply each list item as if they were the same type as the first item, but return them as their original type, so that for example
>>> mystic(['zap', 1, 23, 'goo'], 2)
['zapzap', 11, 2323, 'googoo']
>>> mystic([23, '12', 15, 2.5], 2)
[46, '24', 30, 4.0]
Even this highly-mystical spec COULD be accomodated...:
>>> def mystic(alist, mul):
... multyp = type(alist[0])
... return [type(x)(mul*multyp(x)) for x in alist]
...
...though I very much doubt it's the spec actually encoded in the mysterious runes of that homework assignment. Just about ANY precise spec can be either implemented or proven to be likely impossible as stated (by requiring you to solve the Halting Problem or demanding that P==NP, say;-). That may take some work ("prove the 4-color theorem", for example;-)... but still less than it takes to magically divine what the actual spec IS, from a collection of mutually contradictory observations, no examples, etc. Though in our daily work as software developer (ah for the good old times when all we had to face was homework!-) we DO meet a lot of such cases of course (and have to solve them to earn our daily bread;-).
EditEdit: finally seeing a precise spec I point out I already implemented that one, anyway, here it goes again:
def multiplyItemsByFour(argsList):
return [item * 4 for item in argsList]
EditEditEdit: finally/finally seeing a MORE precise spec, with (luxury!-) examples:
Input: ('a','b') Output: 'aaaabbbb' Input: (2,3,4) Output: 36
So then what's wanted it the summation (and you can't use sum as it wouldn't work on strings) of the items in the input list, each multiplied by four. My preferred solution:
def theFinalAndTrulyRealProblemAsPosed(argsList):
items = iter(argsList)
output = next(items, []) * 4
for item in items:
output += item * 4
return output
If you're forbidden from using some of these constructs, such as built-ins items and iter, there are many other possibilities (slightly inferior ones) such as:
def theFinalAndTrulyRealProblemAsPosed(argsList):
if not argsList: return None
output = argsList[0] * 4
for item in argsList[1:]:
output += item * 4
return output
For an empty argsList, the first version returns [], the second one returns None -- not sure what you're supposed to do in that corner case anyway.
Very easy in Python. You need to get the type of the data in your list - use the type() function on the first item - type(argsList[0]). Then to initialize output (where you now have ????) you need the 'zero' or nul value for that type. So just as int() or float() or str() returns the zero or nul for their type so to will type(argsList[0])() return the zero or nul value for whatever type you have in your list.
So, here is your function with one minor modification:
def multiplyItemsByFour(argsList):
output = type(argsList[0])()
for arg in argsList:
output += arg * 4
return output
Works with::
argsList = [1, 2, 3, 4] or [1.0, 2.0, 3.0, 4.0] or "abcdef" ... etc,
Are you sure this is for Python beginners? To me, the cleanest way to do this is with reduce() and lambda, both of which are not typical beginner tools, and sometimes discouraged even for experienced Python programmers:
def multiplyItemsByFour(argsList):
if not argsList:
return None
newItems = [item * 4 for item in argsList]
return reduce(lambda x, y: x + y, newItems)
Like Alex Martelli, I've thrown in a quick test for an empty list at the beginning which returns None. Note that if you are using Python 3, you must import functools to use reduce().
Essentially, the reduce(lambda...) solution is very similar to the other suggestions to set up an accumulator using the first input item, and then processing the rest of the input items; but is simply more concise.
My guess is that the purpose of your homework is to expose you to "duck typing". The basic idea is that you don't worry about the types too much, you just worry about whether the behaviors work correctly. A classic example:
def add_two(a, b):
return a + b
print add_two(1, 2) # prints 3
print add_two("foo", "bar") # prints "foobar"
print add_two([0, 1, 2], [3, 4, 5]) # prints [0, 1, 2, 3, 4, 5]
Notice that when you def a function in Python, you don't declare a return type anywhere. It is perfectly okay for the same function to return different types based on its arguments. It's considered a virtue, even; consider that in Python we only need one definition of add_two() and we can add integers, add floats, concatenate strings, and join lists with it. Statically typed languages would require multiple implementations, unless they had an escape such as variant, but Python is dynamically typed. (Python is strongly typed, but dynamically typed. Some will tell you Python is weakly typed, but it isn't. In a weakly typed language such as JavaScript, the expression 1 + "1" will give you a result of 2; in Python this expression just raises a TypeError exception.)
It is considered very poor style to try to test the arguments to figure out their types, and then do things based on the types. If you need to make your code robust, you can always use a try block:
def safe_add_two(a, b):
try:
return a + b
except TypeError:
return None
See also the Wikipedia page on duck typing.
Python is dynamically typed, you don't need to declare the type of a variable, because a variable doesn't have a type, only values do. (Any variable can store any value, a value never changes its type during its lifetime.)
def do_something(x):
return x * 5
This will work for any x you pass to it, the actual result depending on what type the value in x has. If x contains a number it will just do regular multiplication, if it contains a string the string will be repeated five times in a row, for lists and such it will repeat the list five times, and so on. For custom types (classes) it depends on whether the class has an operation defined for the multiplication operator.
You don't need to declare variable types in python; a variable has the type of whatever's assigned to it.
EDIT:
To solve the re-stated problem, try this:
def multiplyItemsByFour(argsList):
output = argsList.pop(0) * 4
for arg in argsList:
output += arg * 4
return output
(This is probably not the most pythonic way of doing this, but it should at least start off your output variable as the right type, assuming the whole list is of the same type)
You gave these sample inputs and outputs:
Input: ('a','b') Output: 'aaaabbbb' Input: (2,3,4) Output: 36
I don't want to write the solution to your homework for you, but I do want to steer you in the correct direction. But I'm still not sure I understand what your problem is, because the problem as I understand it seems a bit difficult for an intro to Python class.
The most straightforward way to solve this requires that the arguments be passed in a list. Then, you can look at the first item in the list, and work from that. Here is a function that requires the caller to pass in a list of two items:
def handle_list_of_len_2(lst):
return lst[0] * 4 + lst[1] * 4
Now, how can we make this extend past two items? Well, in your sample code you weren't sure what to assign to your variable output. How about assigning lst[0]? Then it always has the correct type. Then you could loop over all the other elements in lst and accumulate to your output variable using += as you wrote. If you don't know how to loop over a list of items but skip the first thing in the list, Google search for "python list slice".
Now, how can we make this not require the user to pack up everything into a list, but just call the function? What we really want is some way to accept whatever arguments the user wants to pass to the function, and make a list out of them. Perhaps there is special syntax for declaring a function where you tell Python you just want the arguments bundled up into a list. You might check a good tutorial and see what it says about how to define a function.
Now that we have covered (very generally) how to accumulate an answer using +=, let's consider other ways to accumulate an answer. If you know how to use a list comprehension, you could use one of those to return a new list based on the argument list, with the multiply performed on each argument; you could then somehow reduce the list down to a single item and return it. Python 2.3 and newer have a built-in function called sum() and you might want to read up on that. [EDIT: Oh drat, sum() only works on numbers. See note added at end.]
I hope this helps. If you are still very confused, I suggest you contact your teacher and ask for clarification. Good luck.
P.S. Python 2.x have a built-in function called reduce() and it is possible to implement sum() using reduce(). However, the creator of Python thinks it is better to just use sum() and in fact he removed reduce() from Python 3.0 (well, he moved it into a module called functools).
P.P.S. If you get the list comprehension working, here's one more thing to think about. If you use a list comprehension and then pass the result to sum(), you build a list to be used once and then discarded. Wouldn't it be neat if we could get the result, but instead of building the whole list and then discarding it we could just have the sum() function consume the list items as fast as they are generated? You might want to read this: Generator Expressions vs. List Comprehension
EDIT: Oh drat, I assumed that Python's sum() builtin would use duck typing. Actually it is documented to work on numbers, only. I'm disappointed! I'll have to search and see if there were any discussions about that, and see why they did it the way they did; they probably had good reasons. Meanwhile, you might as well use your += solution. Sorry about that.
EDIT: Okay, reading through other answers, I now notice two ways suggested for peeling off the first element in the list.
For simplicity, because you seem like a Python beginner, I suggested simply using output = lst[0] and then using list slicing to skip past the first item in the list. However, Wooble in his answer suggested using output = lst.pop(0) which is a very clean solution: it gets the zeroth thing on the list, and then you can just loop over the list and you automatically skip the zeroth thing. However, this "mutates" the list! It's better if a function like this does not have "side effects" such as modifying the list passed to it. (Unless the list is a special list made just for that function call, such as a *args list.) Another way would be to use the "list slice" trick to make a copy of the list that has the first item removed. Alex Martelli provided an example of how to make an "iterator" using a Python feature called iter(), and then using iterator to get the "next" thing. Since the iterator hasn't been used yet, the next thing is the zeroth thing in the list. That's not really a beginner solution but it is the most elegant way to do this in Python; you could pass a really huge list to the function, and Alex Martelli's solution will neither mutate the list nor waste memory by making a copy of the list.
No need to test the objects, just multiply away!
'this is a string' * 6
14 * 6
[1,2,3] * 6
all just work
Try this:
def timesfourlist(list):
nextstep = map(times_four, list)
sum(nextstep)
map performs the function passed in on each element of the list(returning a new list) and then sum does the += on the list.
If you just want to fill in the blank in your code, you could try setting object=arglist[0].__class__() to give it the zero equivalent value of that class.
>>> def multiplyItemsByFour(argsList):
output = argsList[0].__class__()
for arg in argsList:
output += arg * 4
return output
>>> multiplyItemsByFour('ab')
'aaaabbbb'
>>> multiplyItemsByFour((2,3,4))
36
>>> multiplyItemsByFour((2.0,3.3))
21.199999999999999
This will crash if the list is empty, but you can check for that case at the beginning of the function and return whatever you feel appropriate.
Thanks to Alex Martelli, you have the best possible solution:
def theFinalAndTrulyRealProblemAsPosed(argsList):
items = iter(argsList)
output = next(items, []) * 4
for item in items:
output += item * 4
return output
This is beautiful and elegant. First we create an iterator with iter(), then we use next() to get the first object in the list. Then we accumulate as we iterate through the rest of the list, and we are done. We never need to know the type of the objects in argsList, and indeed they can be of different types as long as all the types can have operator + applied with them. This is duck typing.
For a moment there last night I was confused and thought that you wanted a function that, instead of taking an explicit list, just took one or more arguments.
def four_x_args(*args):
return theFinalAndTrulyRealProblemAsPosed(args)
The *args argument to the function tells Python to gather up all arguments to this function and make a tuple out of them; then the tuple is bound to the name args. You can easily make a list out of it, and then you could use the .pop(0) method to get the first item from the list. This costs the memory and time to build the list, which is why the iter() solution is so elegant.
def four_x_args(*args):
argsList = list(args) # convert from tuple to list
output = argsList.pop(0) * 4
for arg in argsList:
output += arg * 4
return output
This is just Wooble's solution, rewritten to use *args.
Examples of calling it:
print four_x_args(1) # prints 4
print four_x_args(1, 2) # prints 12
print four_x_args('a') # prints 'aaaa'
print four_x_args('ab', 'c') # prints 'ababababcccc'
Finally, I'm going to be malicious and complain about the solution you accepted. That solution depends on the object's base class having a sensible null or zero, but not all classes have this. int() returns 0, and str() returns '' (null string), so they work. But how about this:
class NaturalNumber(int):
"""
Exactly like an int, but only values >= 1 are possible.
"""
def __new__(cls, initial_value=1):
try:
n = int(initial_value)
if n < 1:
raise ValueError
except ValueError:
raise ValueError, "NaturalNumber() initial value must be an int() >= 1"
return super(NaturalNumber, cls).__new__ (cls, n)
argList = [NaturalNumber(n) for n in xrange(1, 4)]
print theFinalAndTrulyRealProblemAsPosed(argList) # prints correct answer: 24
print NaturalNumber() # prints 1
print type(argList[0])() # prints 1, same as previous line
print multiplyItemsByFour(argList) # prints 25!
Good luck in your studies, and I hope you enjoy Python as much as I do.

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