Is it possible to define a class constant inside an Enum?

This is advanced behavior which will not be needed in 90+% of the enumerations created.

According to the docs:

The rules for what is allowed are as follows: _sunder_ names (starting and ending with a single underscore) are reserved by enum and cannot be used; all other attributes defined within an enumeration will become members of this enumeration, with the exception of __dunder__ names and descriptors (methods are also descriptors).

So if you want a class constant you have several choices:

• create it in __init__
• add it after the class has been created
• use a mixin
• create your own descriptor

Creating the constant in __init__ and adding it after the class has been created both suffer from not having all the class info gathered in one place.

Mixins can certainly be used when appropriate (see dnozay’s answer for a good example), but that case can also be simplified by having a base Enum class with the actual constants built in.

First, the constant that will be used in the examples below:

class Constant:  # use Constant(object) if in Python 2
    def __init__(self, value):
        self.value = value
    def __get__(self, *args):
        return self.value
    def __repr__(self):
        return '%s(%r)' % (self.__class__.__name__, self.value)

And the single-use Enum example:

from enum import Enum

class Planet(Enum):
    MERCURY = (3.303e+23, 2.4397e6)
    VENUS   = (4.869e+24, 6.0518e6)
    EARTH   = (5.976e+24, 6.37814e6)
    MARS    = (6.421e+23, 3.3972e6)
    JUPITER = (1.9e+27,   7.1492e7)
    SATURN  = (5.688e+26, 6.0268e7)
    URANUS  = (8.686e+25, 2.5559e7)
    NEPTUNE = (1.024e+26, 2.4746e7)

    # universal gravitational constant
    G = Constant(6.67300E-11)

    def __init__(self, mass, radius):
        self.mass = mass       # in kilograms
        self.radius = radius   # in meters
    @property
    def surface_gravity(self):
        return self.G * self.mass / (self.radius * self.radius)

print(Planet.__dict__['G'])             # Constant(6.673e-11)
print(Planet.G)                         # 6.673e-11
print(Planet.NEPTUNE.G)                 # 6.673e-11
print(Planet.SATURN.surface_gravity)    # 10.44978014597121

And, finally, the multi-use Enum example:

from enum import Enum

class AstronomicalObject(Enum):

    # universal gravitational constant
    G = Constant(6.67300E-11)

    def __init__(self, mass, radius):
        self.mass = mass
        self.radius = radius
    @property
    def surface_gravity(self):
        return self.G * self.mass / (self.radius * self.radius)

class Planet(AstronomicalObject):
    MERCURY = (3.303e+23, 2.4397e6)
    VENUS   = (4.869e+24, 6.0518e6)
    EARTH   = (5.976e+24, 6.37814e6)
    MARS    = (6.421e+23, 3.3972e6)
    JUPITER = (1.9e+27,   7.1492e7)
    SATURN  = (5.688e+26, 6.0268e7)
    URANUS  = (8.686e+25, 2.5559e7)
    NEPTUNE = (1.024e+26, 2.4746e7)

class Asteroid(AstronomicalObject):
    CERES = (9.4e+20 , 4.75e+5)
    PALLAS = (2.068e+20, 2.72e+5)
    JUNOS = (2.82e+19, 2.29e+5)
    VESTA = (2.632e+20 ,2.62e+5

Planet.MERCURY.surface_gravity    # 3.7030267229659395
Asteroid.CERES.surface_gravity    # 0.27801085872576176

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Note:

The Constant G really isn’t. One could rebind G to something else:

Planet.G = 1

If you really need it to be constant (aka not rebindable), then use the new aenum library [1] which will block attempts to reassign constants as well as Enum members.

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¹ Disclosure: I am the author of the Python stdlib Enum, the enum34 backport, and the Advanced Enumeration (aenum) library.