Python __rpow__() Magic Method

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object.__rpow__(self, other)

The Python __rpow__() method implements the reverse exponentiation operation that is exponentiation with reflected, swapped operands. So, when you call x ** y, Python attempts to call x.__pow__(y). Only if the method is not implemented on the left operand, Python attempts to call __rpow__ on the right operand and if this isn’t implemented either, it raises a TypeError.

We call this a “Dunder Method” for Double Underscore Method” (also called “magic method”). To get a list of all dunder methods with explanation, check out our dunder cheat sheet article on this blog.

Python __pow__ vs __rpow__

Say, you want to calculate the ** operation on two custom objects x and y:

print(x ** y)

Python first tries to call the left object’s __pow__() method x.__pow__(y). But this may fail for two reasons:

  1. The method x.__pow__() is not implemented in the first place, or
  2. The method x.__pow__() is implemented but returns a NotImplemented value indicating that the data types are incompatible.

If this fails, Python tries to fix it by calling the y.__rpow__() for reverse exponentiation on the right operand y.

If the reverse exponentiation method is implemented, Python knows that it doesn’t run into a potential problem of a non-commutative operation. If it would just execute y.__pow__(x) instead of x.__pow__(y), the result would be wrong because the operation may be non-commutative when defined as a custom operation. That’s why y.__rpow__(x) is needed.

So, the difference between x.__pow__(y) and x.__rpow__(y) is that the former calculates x ** y whereas the latter calculates y ** x — both calling the respective method defined on the object x.

You can see this in effect here where we attempt to call the operation on the left operand x—but as it’s not implemented, Python simply calls the reverse operation on the right operand y.

class Data_1:

class Data_2:
    def __rpow__(self, other):
        return 'called reverse **'

x = Data_1()
y = Data_2()

print(x ** y)
# called reverse **

Note that the __rpow__ and __pow__ methods also define the built-in pow() function. So, if you call pow() after executing the previous code snippet, you obtain the same result:

print(pow(x, y))
# called reverse **

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