I have a module that should have a @property, I solved this by setting a class as the module. I got the idea from this answer: Lazy module variables--can it be done?
I wanted this to be repeatable and easy to use so I made a metaclass for it. This works like a charm.
The problem is that when using Sphinx to generate documentation properties don't get documented. Everything else is documented as expected. I have no idea how to fix this, maybe this is a problem with Sphinx?
The module:
import sys
import types
class ClassAsModule(type):
    def __new__(cls, name, bases, attrs):
        # Make sure the name of the class is the module name.
        name = attrs.pop('__module__')
        # Create a class.
        cls = type.__new__(cls, name, bases, attrs)
        # Instantiate the class and register it.
        sys.modules[name] = cls = cls(name)
        # Update the dict so dir works properly
        cls.__dict__.update(attrs)
class TestClass(types.ModuleType):
    """TestClass docstring."""
    __metaclass__ = ClassAsModule
    @property
    def some_property(self):
        """Property docstring."""
        pass
    def meth():
        """meth doc"""
        pass
And a copy-paste to generate/view Sphinx documentation:
sphinx-apidoc . -o doc --full
sphinx-build doc html
xdg-open html/module.html
The most essential part is to document the class' properties. Bonus points to also document original module members.
EDIT: The class should be documented as the module it is in. The class is used this way and should thus appear this way in Sphinx.
Example of desired output:
Module Foo
    TestClass docstring.
    some_property
        Property docstring.
    meth()
        meth doc
EDIT 2: I found something that may aid in finding a solution. When having a regular module foo with the following content:
#: Property of foo
prop = 'test'
Sphinx documents this like:
foo.prop = 'test'
    Property of foo
The same works if prop is an attribute of a class. I haven't figured out why it doesn't work in my special case.
Here's my understanding.
The theory is: making a mutant your class act like a module this (a bit hacky) way makes sphinx think that he doesn't need (to parse) properties from modules (because it's a class-level paradigm). So, for sphinx, TestClass is a module.
First of all, to make sure that the culprit is the code for making a class act like a module - let's remove it:
class ClassAsModule(type):
    pass
we'll see in docs:
package Package
    script Module
    class package.script.ClassAsModule
        Bases: type
    class package.script.TestClass
        Bases: module
        TestClass docstring.
        meth()
            meth doc
        some_property
            Property docstring.
As you see, sphinx read the property without any problems. Nothing special here.
Possible solution for your problem is to avoid using @property decorator and replace it with calling property class constructor. E.g.:
import sys
import types
class ClassAsModule(type):
    def __new__(cls, name, bases, attrs):
        # Make sure the name of the class is the module name.
        name = attrs.pop('__module__')
        # Create a class.
        cls = type.__new__(cls, name, bases, attrs)
        # Instantiate the class and register it.
        sys.modules[name] = cls = cls(name)
        # Update the dict so dir works properly
        cls.__dict__.update(attrs)
class TestClass(types.ModuleType):
    """TestClass docstring."""
    __metaclass__ = ClassAsModule
    def get_some_property(self):
        """Property docstring."""
        pass
    some_property = property(get_some_property)
    def meth(self):
        """meth doc"""
        pass
For this code sphinx generates:
package Package
    script Module
        TestClass docstring.
            package.script.get_some_property(self)
                Property docstring.
            package.script.meth(self)
                meth doc
May be the answer is a piece of nonsense, but I hope it'll point you to the right direction.
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