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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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>>> def middle_three_digits(i):
s = str(abs(i))
length = len(s)
assert length >= 3 and length % 2 == 1, "Need odd and >= 3 digits"
mid = length // 2
return s[mid-1:mid+2]
>>> passing = [123, 12345, 1234567, 987654321, 10001, -10001, -123, -100, 100, -12345]
>>> failing = [1, 2, -1, -10, 2002, -2002, 0]
>>> for x in passing + failing:
try:
answer = middle_three_digits(x)
except AssertionError as error:
answer = error
print("middle_three_digits(%s) returned: %r" % (x, answer))
middle_three_digits(123) returned: '123'
middle_three_digits(12345) returned: '234'
middle_three_digits(1234567) returned: '345'
middle_three_digits(987654321) returned: '654'
middle_three_digits(10001) returned: '000'
middle_three_digits(-10001) returned: '000'
middle_three_digits(-123) returned: '123'
middle_three_digits(-100) returned: '100'
middle_three_digits(100) returned: '100'
middle_three_digits(-12345) returned: '234'
middle_three_digits(1) returned: AssertionError('Need odd and >= 3 digits',)
middle_three_digits(2) returned: AssertionError('Need odd and >= 3 digits',)
middle_three_digits(-1) returned: AssertionError('Need odd and >= 3 digits',)
middle_three_digits(-10) returned: AssertionError('Need odd and >= 3 digits',)
middle_three_digits(2002) returned: AssertionError('Need odd and >= 3 digits',)
middle_three_digits(-2002) returned: AssertionError('Need odd and >= 3 digits',)
middle_three_digits(0) returned: AssertionError('Need odd and >= 3 digits',)
>>>

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'''Middle 3 digits'''
# mid3digits :: Int -> Either String String
def mid3digits(n):
'''Either the middle three digits,
or an explanatory string.'''
m = abs(n)
s = str(m)
return Left('Less than 3 digits') if (100 > m) else (
Left('Even digit count') if even(len(s)) else Right(
s[(len(s) - 3) // 2:][0:3]
)
)
# TEST ----------------------------------------------------
def main():
'''Test'''
def bracketed(x):
return '(' + str(x) + ')'
print(
tabulated('Middle three digits, where defined:\n')(str)(
either(bracketed)(str)
)(mid3digits)([
123, 12345, 1234567, 987654321, 10001, -10001, -123,
-100, 100, -12345, 1, 2, -1, -10, 2002, -2002, 0
])
)
# GENERIC -------------------------------------------------
# Left :: a -> Either a b
def Left(x):
'''Constructor for an empty Either (option type) value
with an associated string.'''
return {'type': 'Either', 'Right': None, 'Left': x}
# Right :: b -> Either a b
def Right(x):
'''Constructor for a populated Either (option type) value'''
return {'type': 'Either', 'Left': None, 'Right': x}
# compose (<<<) :: (b -> c) -> (a -> b) -> a -> c
def compose(g):
'''Function composition.'''
return lambda f: lambda x: g(f(x))
# either :: (a -> c) -> (b -> c) -> Either a b -> c
def either(fl):
'''The application of fl to e if e is a Left value,
or the application of fr to e if e is a Right value.'''
return lambda fr: lambda e: fl(e['Left']) if (
None is e['Right']
) else fr(e['Right'])
# even :: Int -> Bool
def even(x):
'''Is x even ?'''
return 0 == x % 2
# tabulated :: String -> (b -> String) -> (a -> b) -> [a] -> String
def tabulated(s):
'''Heading -> x display function -> fx display function ->
f -> value list -> tabular string.'''
def go(xShow, fxShow, f, xs):
w = max(map(compose(len)(str), xs))
return s + '\n' + '\n'.join(
xShow(x).rjust(w, ' ') + ' -> ' + fxShow(f(x)) for x in xs
)
return lambda xShow: lambda fxShow: lambda f: lambda xs: go(
xShow, fxShow, f, xs
)
if __name__ == '__main__':
main()