Allow python objects to interact with mathematical operators

Question

I ask it because I remember numpy does it with arrays. I should add two objects that contain monomials.

Alternatively is it possible to create custom mathematical operators? (like the @ of numpy's dot product)

Answer 1

This is very possible. Classes can contain "magic methods" that can allow objects to interact with + and other operators. Specifically, this section of the documentation is relevant, although a quick read over that entire document would be quite helpful.

The most relevant methods from that link:

object.__add__(self, other)
object.__sub__(self, other)
object.__mul__(self, other)
object.__matmul__(self, other)
object.__truediv__(self, other)
object.__floordiv__(self, other)
object.__mod__(self, other)
object.__divmod__(self, other)

@ can, for example, be used by implementing a __matmul__ method:

class T:
    def __matmul__(self, other_t):
        pass

print(T() @ T())

You cannot create "custom" operators that don't already exist in the language, but you can make use of any of the hooks into existing operators.