import math

from decimal import Decimal

from fractions import Fraction

from math import sqrt

class VectorBound:

def __init__(self, *coordinates):

self.coordinates = coordinates

def __abs__(self):

origin = [0] * len(self.coordinates)

return math.dist(origin, self.coordinates)

class VectorFree:

def __init__(self, *coordinates):

self.coordinates = coordinates

def __abs__(self):

return math.hypot(*self.coordinates)

def absolute_value_piecewise(x):

if x >= 0:

return x

else:

return -x

def absolute_value_piecewise_conditional_expression(x):

return x if x >= 0 else -x

def absolute_value_algebraic(x):

return sqrt(pow(x, 2))

def absolute_value_algebraic_exponents(x):

return (x**2) ** 0.5

def absolute_value_silly(x):

return float(str(x).replace("-", ""))

if __name__ == "__main__":

print(f"{absolute_value_piecewise(-12) = }")

print(f"{absolute_value_piecewise_conditional_expression(-12) = }")

print(f"{absolute_value_algebraic(-12) = }")

print(f"{absolute_value_algebraic_exponents(-12) = }")

print(f"{absolute_value_silly(-12) = }")

print(f"{abs(-12) = }")

print(f"{abs(-12.0) = }")

print(f"{abs(complex(3, 2)) = }")

print(f"{abs(Fraction('-3/4')) = }")

print(f"{abs(Decimal('-0.75')) = }")

print(f"{abs(VectorBound(0.42, 1.5, 0.87)) = }")

print(f"{abs(VectorFree(0.42, 1.5, 0.87)) = }")