Python/maths/abs.py

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"""Absolute Value."""
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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)
0
"""
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return -num if num < 0 else num
def abs_min(x: list[int]) -> int:
"""
>>> abs_min([0,5,1,11])
0
>>> 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])
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])
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 0 == abs_val(0)
assert 34 == abs_val(34)
assert 100000000000 == abs_val(-100000000000)
a = [-3, -1, 2, -11]
assert abs_max(a) == -11
assert abs_max_sort(a) == -11
assert abs_min(a) == -1
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if __name__ == "__main__":
import doctest
doctest.testmod()
test_abs_val()
print(abs_val(-34)) # --> 34