from dataclasses import dataclass

@dataclass

class Quaternion:

X: float

Y: float

Z: float

W: float

def __init__(self, x: float = 0.0, y: float = 0.0, z: float = 0.0, w: float = 1.0):

if not all(isinstance(v, (int, float)) for v in (x, y, z, w)):

raise TypeError("All components must be numeric.")

self.X = float(x)

self.Y = float(y)

self.Z = float(z)

self.W = float(w)

def __getitem__(self, index):

return (self.X, self.Y, self.Z, self.W)[index]

def __setitem__(self, index, value):

if index == 0:

self.X = value

elif index == 1:

self.Y = value

elif index == 2:

self.Z = value

elif index == 3:

self.W = value

else:

raise IndexError("Index out of range")