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"""Absolute Value."""

def abs_val(num: float) -> float:

"""

Find the absolute value of a number.

>>> abs_val(-5.1)

5.1

>>> abs_val(-5) == abs_val(5)

True

>>> abs_val(0)

"""

return -num if num < 0 else num

def abs_min(x: list[int]) -> int:

"""

>>> abs_min([0,5,1,11])

>>> abs_min([3,-10,-2])

-2

>>> abs_min([])

Traceback (most recent call last):

...

ValueError: abs_min() arg is an empty sequence

"""

if len(x) == 0:

raise ValueError("abs_min() arg is an empty sequence")

j = x[0]

for i in x:

if abs_val(i) < abs_val(j):

j = i

return j

def abs_max(x: list[int]) -> int:

"""

>>> abs_max([0,5,1,11])

>>> abs_max([3,-10,-2])

-10

>>> abs_max([])

Traceback (most recent call last):

...

ValueError: abs_max() arg is an empty sequence

"""

if len(x) == 0:

raise ValueError("abs_max() arg is an empty sequence")

j = x[0]

for i in x:

if abs(i) > abs(j):

j = i

return j

def abs_max_sort(x: list[int]) -> int:

"""

>>> abs_max_sort([0,5,1,11])

>>> abs_max_sort([3,-10,-2])

-10

>>> abs_max_sort([])

Traceback (most recent call last):

...

ValueError: abs_max_sort() arg is an empty sequence

"""

if len(x) == 0:

raise ValueError("abs_max_sort() arg is an empty sequence")

return sorted(x, key=abs)[-1]

def test_abs_val():

"""

>>> test_abs_val()

"""

assert abs_val(0) == 0

assert abs_val(34) == 34

assert abs_val(-100000000000) == 100000000000

a = [-3, -1, 2, -11]

assert abs_max(a) == -11

assert abs_max_sort(a) == -11

assert abs_min(a) == -1

if __name__ == "__main__":

import doctest

doctest.testmod()

test_abs_val()

print(abs_val(-34)) # --> 34

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