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When should a static method be a function?

I am writing a class for an image processing algorithm which has some methods, and notably a few static methods. My IDE keeps telling me to convert static methods to function which leads me to the following question:
When should a static method be turned into a function? When shouldn't it?

There are no set rules in python regarding this decision, but there are style-guides defined e.g. by companies that look to solve the ambiguity of when to use what. One popular example of this would be the Google Python Style Guide:
Never use staticmethod unless forced to in order to integrate with an API defined in an existing library. Write a module level function instead.
My guess is, that your IDE follows this stance of a hard no against the staticmethod. If you decide, that you still want to use staticmethods, you can try to disable the warning by adding # noqa as a comment on the line where the warning is shown. Or you can look in your IDE for a setting to disable this kind of warning globally.
But this is only one opinion. There are some, that do see value in using staticmethods (staticmethod considered beneficial, Why Python Developers Should Use #staticmethod and #classmethod), and there are others that argue against the usage of staticmethods (Thoughts On #staticmethod Usage In Python, #staticmethod considered a code smell)
Another quote that is often cited in this discussion is from Guido van Rossum (creator of Python):
Honestly, staticmethod was something of a mistake -- I was trying to
do something like Java class methods but once it was released I found
what was really needed was classmethod. But it was too late to get rid
of staticmethod.
I have compiled a list of arguments that I found, without any evaluation or order.
Pro module-level function:
Staticmethod lowers the cohesion of the class it is in as it is not using any of the attributes the class provides.
To call the staticmethod any other module needs to import the whole class even if you just want to use that one method.
Staticmethod binds the method to the namespace of the class which makes it longer to write SomeWhatDescriptiveClassName.method instead of method and more work to refactor code if you change the class.
Easier reuse of method in other classes or contexts.
The call signature of a staticmethod is the same as that of a classmethod or instancemethod. This masks the fact that the staticmethod does not actually read or modify any object information especially when being called from an instance. A module-level function makes this explicit.
Pro staticmethod:
Being bound by an API your class has to work in, it can be the only valid option.
Possible usage of polymorphism for the method. Can overwrite the staticmethod in a subclass to change behaviour.
Grouping a method directly to a class it is meant to be used with.
Easier to refactor between classmethod, instancemethod and staticmethod compared to module-level functions.
Having the method under the namespace of the class can help with reducing possible namespace-collisions inside your module and reducing the namespace of your module overall.
As I see it, there are no strong arguments for or against the staticmethod (except being bound by an API). So if you work in an organisation that provides a code standard to follow, just do that. Else it comes down to what helps you best to structure your code for maintainability and readability, and to convey the message of what your code is meant to do and how it is meant to be used.

Selecting executed method of class at runtime in python?

This question is very generic but I don't think it is opinion based. It is about software design and the example prototype is in python:
I am writing a program which goal it is to simulate some behaviour (doesn't matter). The data on which the simulation works is fixed, but the simulated behaviour I want to change at every startup time. The simulation behaviour can't be changed at runtime.
Example:
Simulation behaviour is defined like:
usedMethod = static
The program than looks something like this:
while(true)
result = static(object) # static is the method specified in the behaviour
# do something with result
The question is, how is the best way to deal with exchangeable defined functions? So another run of the simulation could look like this
while(true)
result = dynamic(object)
if dynamic is specified as usedMethod. The first thing that came in my mind was an if-else block, where I ask, which is the used method and then execute this on. This solution would not be very good, because every time I add new behaviour I have to change the if-else block and the if-else block itself would maybe cost performance, which is important, too. The simulations should be fast.
So a solution I could think of was using a function pointer (output and input of all usedMethods should be well defined and so it should not be a problem). Then I initalize the function pointer at startup, where the used method is defined.
The problem I currently have, that the used method is not a function per-se, but is a method of a class, which depends heavily on the intern members of this class, so the code is more looking like this:
balance = BalancerClass()
while(true)
result = balance.static(object)
...
balance.doSomething(input)
So my question is, what is a good solution to deal with this problem?
I thought about inheriting from the balancerClass (this would then be an abstract class, I don't know if this conecpt exists in python) and add a derived class for every used method. Then I create the correct derived object which is specified in the simulation behaviour an run-time.
In my eyes, this is a good solution, because it encapsulates the methods from the base class itself. And every used method is managed by its own class, so it can add new internal behaviour if needed.
Furthermore the doSomething method shouldn't change, so therefore it is implemented the base class, but depends on the intern changed members of the derived class.
I don't know in general if this software design is good to solve my problem or if I am missing a very basic and easy concept.
If you have a another/better solution please tell me and it would be good, if you provide the advantages/disadvantages. Also could you tell me advantages/disadvantages of my solution, which I didn't think of?

Hey I can be wrong but what you are looking for boils down to either dependency injection or strategy design pattern both of which solve the problem of executing dynamic code at runtime via a common interface without worrying about the actual implementations. There are also much simpler ways just like u desrcibed creating an abstract class(Interface) and having all the classes implement this interface.
I am giving brief examples fo which here for your reference:
Dependecy Injection(From wikipedia):
In software engineering, dependency injection is a technique whereby one object supplies the dependencies of another object. A "dependency" is an object that can be used, for example as a service. Instead of a client specifying which service it will use, something tells the client what service to use. The "injection" refers to the passing of a dependency (a service) into the object (a client) that would use it. The service is made part of the client's state.
Passing the service to the client, rather than allowing a client to build or find the service, is the fundamental requirement of the pattern.
Python does not have such a conecpt inbuilt in the language itself but there are packages out there that implements this pattern.
Here is a nice article about this in python(All credits to the original author):
Dependency Injection in Python
Strategy Pattern: This is an anti-pattern to inheritance and is an example of composition which basically means instead of inheriting from a base class we pass the required class's object to the constructor of classes we want to have the functionality in. For example:
Suppose you want to have a common add() operation but it can be implemented in different ways(add two numbers or add two strings)
Class XYZ():
def __constructor__(adder):
self.adder = adder
The only condition being all adders passed to the XYZ class should have a common Interface.
Here is a more detailed example:
Strategy Pattern in Python
Interfaces:
Interfaces are the simplest, they define a set of common attributes and methods(with or without a default implementation). Any class then can implement an interface with its own functionality or some shared common functionality. In python Interfaces are implemented via abc package.

Python/Django and services as classes

Are there any conventions on how to implement services in Django? Coming from a Java background, we create services for business logic and we "inject" them wherever we need them.
Not sure if I'm using python/django the wrong way, but I need to connect to a 3rd party API, so I'm using an api_service.py file to do that. The question is, I want to define this service as a class, and in Java, I can inject this class wherever I need it and it acts more or less like a singleton. Is there something like this I can use with Django or should I build the service as a singleton and get the instance somewhere or even have just separate functions and no classes?

TL;DR It's hard to tell without more details but chances are you only need a mere module with a couple plain functions or at most just a couple simple classes.
Longest answer:
Python is not Java. You can of course (technically I mean) use Java-ish designs, but this is usually not the best thing to do.
Your description of the problem to solve is a bit too vague to come with a concrete answer, but we can at least give you a few hints and pointers (no pun intended):
1/ Everything is an object
In python, everything (well, everything you can find on the RHS of an assignment that is) is an object, including modules, classes, functions and methods.
One of the consequences is that you don't need any complex framework for dependency injection - you just pass the desired object (module, class, function, method, whatever) as argument and you're done.
Another consequence is that you don't necessarily need classes for everything - a plain function or module can be just enough.
A typical use case is the strategy pattern, which, in Python, is most often implemented using a mere callback function (or any other callable FWIW).
2/ a python module is a singleton.
As stated above, at runtime a python module is an object (of type module) whose attributes are the names defined at the module's top-level.
Except for some (pathological) corner cases, a python module is only imported once for a given process and is garanteed to be unique. Combined with the fact that python's "global" scope is really only "module-level" global, this make modules proper singletons, so this design pattern is actually already builtin.
3/ a python class is (almost) a singleton
Python classes are objects too (instance of type type, directly or indirectly), and python has classmethods (methods that act on the class itself instead of acting on the current instance) and class-level attributes (attributes that belong to the class object itself, not to it's instances), so if you write a class that only has classmethods and class attributes, you technically have a singleton - and you can use this class either directly or thru instances without any difference since classmethods can be called on instances too.
The main difference here wrt/ "modules as singletons" is that with classes you can use inheritance...
4/ python has callables
Python has the concept of "callable" objects. A "callable" is an object whose class implements the __call__() operator), and each such object can be called as if it was a function.
This means that you can not only use functions as objects but also use objects as functions - IOW, the "functor" pattern is builtin. This makes it very easy to "capture" some context in one part of the code and use this context for computations in another part.
5/ a python class is a factory
Python has no new keyword. Pythonc classes are callables, and instanciation is done by just calling the class.
This means that you can actually use a class or function the same way to get an instance, so the "factory" pattern is also builtin.
6/ python has computed attributes
and beside the most obvious application (replacing a public attribute by a pair of getter/setter without breaking client code), this - combined with other features like callables etc - can prove to be very powerful. As a matter of fact, that's how functions defined in a class become methods
7/ Python is dynamic
Python's objects are (usually) dict-based (there are exceptions but those are few and mostly low-level C-coded classes), which means you can dynamically add / replace (and even remove) attributes and methods (since methods are attributes) on a per-instance or per-class basis.
While this is not a feature you want to use without reasons, it's still a very powerful one as it allows to dynamically customize an object (remember that classes are objects too), allowing for more complex objects and classes creation schemes than what you can do in a static language.
But Python's dynamic nature goes even further - you can use class decorators and/or metaclasses to taylor the creation of a class object (you may want to have a look at Django models source code for a concrete example), or even just dynamically create a new class using it's metaclass and a dict of functions and other class-level attributes.
Here again, this can really make seemingly complex issues a breeze to solve (and avoid a lot of boilerplate code).
Actually, Python exposes and lets you hook into most of it's inners (object model, attribute resolution rules, import mechanism etc), so once you understand the whole design and how everything fits together you really have the hand on most aspects of your code at runtime.
Python is not Java
Now I understand that all of this looks a bit like a vendor's catalog, but the point is highlight how Python differs from Java and why canonical Java solutions - or (at least) canonical Java implementations of those solutions - usually don't port well to the Python world. It's not that they don't work at all, just that Python usually has more straightforward (and much simpler IMHO) ways to implement common (and less common) design patterns.
wrt/ your concrete use case, you will have to post a much more detailed description, but "connecting to a 3rd part API" (I assume a REST api ?) from a Django project is so trivial that it really doesn't warrant much design considerations by itself.

In Python you can write the same as Java program structure. You don't need to be so strongly typed but you can. I'm using types when creating common classes and libraries that are used across multiple scripts.
Here you can read about Python typing
You can do the same here in Python. Define your class in package (folder) called services
Then if you want singleton you can do like that:
class Service(object):
instance = None
def __new__(cls):
if cls.instance is not None:
return cls.instance
else:
inst = cls.instance = super(Service, cls).__new__()
return inst
And now you import it wherever you want in the rest of the code
from services import Service
Service().do_action()

Adding to the answer given by bruno desthuilliers and TreantBG.
There are certain questions that you can ask about the requirements.
For example one question could be, does the api being called change with different type of objects ?
If the api doesn't change, you will probably be okay with keeping it as a method in some file or class.
If it does change, such that you are calling API 1 for some scenario, API 2 for some and so on and so forth, you will likely be better off with moving/abstracting this logic out to some class (from a better code organisation point of view).
PS: Python allows you to be as flexible as you want when it comes to code organisation. It's really upto you to decide on how you want to organise the code.

Advantages of using static methods over instance methods in python

My IDE keeps suggesting I convert my instance methods to static methods. I guess because I haven't referenced any self within these methods.
An example is :
class NotificationViewSet(NSViewSet):
def pre_create_processing(self, request, obj):
log.debug(" creating messages ")
# Ensure data is consistent and belongs to the sending bot.
obj['user_id'] = request.auth.owner.id
obj['bot_id'] = request.auth.id
So my question would be: do I lose anything by just ignoring the IDE suggestions, or is there more to it?

This is a matter of workflow, intentions with your design, and also a somewhat subjective decision.
First of all, you are right, your IDE suggests converting the method to a static method because the method does not use the instance. It is most likely a good idea to follow this suggestion, but you might have a few reasons to ignore it.
Possible reasons to ignore it:
The code is soon to be changed to use the instance (on the other hand, the idea of soon is subjective, so be careful)
The code is legacy and not entirely understood/known
The interface is used in a polymorphic/duck typed way (e.g. you have a collection of objects with this method and you want to call them in a uniform way, but the implementation in this class happens to not need to use the instance - which is a bit of a code smell)
The interface is specified externally and cannot be changed (this is analog to the previous reason)
The AST of the code is read/manipulated either by itself or something that uses it and expects this method to be an instance method (this again is an external dependency on the interface)
I'm sure there can be more, but failing these types of reasons I would follow the suggestion. However, if the method does not belong to the class (e.g. factory method or something similar), I would refactor it to not be part of the class.

I think that you might be mixing up some terminology - the example is not a class method. Class methods receive the class as the first argument, they do not receive the instance. In this case you have a normal instance method that is not using its instance.
If the method does not belong in the class, you can move it out of the class and make it a standard function. Otherwise, if it should be bundled as part of the class, e.g. it's a factory function, then you should probably make it a static method as this (at a minimum) serves as useful documentation to users of your class that the method is coupled to the class, but not dependent on it's state.
Making the method static also has the advantage this it can be overridden in subclasses of the class. If the method was moved outside of the class as a regular function then subclassing is not possible.

Static classes in Python

I once read (I think on a page from Microsoft) that it's a good way to use static classes, when you don't NEED two or more instances of a class.
I'm writing a program in Python. Is it a bad style, if I use #classmethod for every method of a class?

Generally, usage like this is better done by just using functions in a module, without a class at all.

It's terrible style, unless you actually need to access the class.
A static method [...] does not translate to a Python classmethod. Oh sure, it results in more or less the same effect, but the goal of a classmethod is actually to do something that's usually not even possible [...] (like inheriting a non-default constructor). The idiomatic translation of a [...] static method is usually a module-level function, not a classmethod or staticmethod.
source

In my experience creating a class is a very good solution for a number of reasons. One is that you wind up using the class as a 'normal' class (esp. making more than just one instance) more often than you might think. It's also a reasonable style choice to stick with classes for everthing; this can make it easier for others who read/maintain your code, esp if they are very OO - they will be comfortable with classes. As noted in other replies, it's also reasonable to just use 'bare' functions for the implementation. You may wish to start with a class and make it a singleton/Borg pattern (lots of examples if you googlefor these); it gives you the flexibility to (re)use the class to meet other needs. I would recommend against the 'static class' approach as being non-conventional and non-Pythonic, which makes it harder to read and maintain.

There are a few approaches you might take for this. As others have mentioned, you could just use module-level functions. In this case, the module itself is the namespace that holds them together. Another option, which can be useful if you need to keep track of state, is to define a class with normal methods (taking self), and then define a single global instance of it, and copy its instance methods to the module namespace. This is the approach taken by the standard library "random" module -- take a look at lib/python2.5/random.py in your python directory. At the bottom, it has something like this:
# Create one instance, seeded from current time, and export its methods
# as module-level functions. [...]
_inst = Random()
seed = _inst.seed
random = _inst.random
uniform = _inst.uniform
...
Or you can take the basic approach you described (though I would recommend using #staticmethod rather than #classmethod in most cases).

You might actually want a singleton class rather than a static class:
Making a singleton class in python