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e296f7b3ff
* Updated number_of_digits.py Added two more methods! * Update number_of_digits.py * Update number_of_digits.py * Added benchmarks! * Update number_of_digits.py * Update number_of_digits.py * Update number_of_digits.py * Update number_of_digits.py * Update number_of_digits.py * Update number_of_digits.py * Update number_of_digits.py
100 lines
3.1 KiB
Python
100 lines
3.1 KiB
Python
import math
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from timeit import timeit
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def num_digits(n: int) -> int:
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"""
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Find the number of digits in a number.
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>>> num_digits(12345)
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5
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>>> num_digits(123)
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3
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"""
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digits = 0
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while n > 0:
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n = n // 10
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digits += 1
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return digits
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def num_digits_fast(n: int) -> int:
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"""
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Find the number of digits in a number.
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abs() is used as logarithm for negative numbers is not defined.
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>>> num_digits_fast(12345)
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5
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>>> num_digits_fast(123)
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3
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"""
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return (math.floor(math.log(abs(n), 10) + 1))
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def num_digits_faster(n: int) -> int:
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"""
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Find the number of digits in a number.
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abs() is used for negative numbers
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>>> num_digits_faster(12345)
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5
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>>> num_digits_faster(123)
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3
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"""
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return (len(str(abs(n))))
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def benchmark() -> None:
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"""
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Benchmark code for comparing 3 functions,
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with 3 different length int values.
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"""
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print('\nFor small_num = ', small_num, ':')
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print("> num_digits()",
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'\t\tans =', num_digits(small_num),
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'\ttime =', timeit("z.num_digits(z.small_num)",
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setup="import __main__ as z"), "seconds")
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print("> num_digits_fast()",
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'\tans =', num_digits_fast(small_num),
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'\ttime =', timeit("z.num_digits_fast(z.small_num)",
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setup="import __main__ as z"), "seconds")
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print("> num_digits_faster()",
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'\tans =', num_digits_faster(small_num),
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'\ttime =', timeit("z.num_digits_faster(z.small_num)",
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setup="import __main__ as z"), "seconds")
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print('\nFor medium_num = ', medium_num, ':')
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print("> num_digits()",
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'\t\tans =', num_digits(medium_num),
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'\ttime =', timeit("z.num_digits(z.medium_num)",
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setup="import __main__ as z"), "seconds")
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print("> num_digits_fast()",
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'\tans =', num_digits_fast(medium_num),
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'\ttime =', timeit("z.num_digits_fast(z.medium_num)",
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setup="import __main__ as z"), "seconds")
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print("> num_digits_faster()",
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'\tans =', num_digits_faster(medium_num),
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'\ttime =', timeit("z.num_digits_faster(z.medium_num)",
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setup="import __main__ as z"), "seconds")
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print('\nFor large_num = ', large_num, ':')
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print("> num_digits()",
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'\t\tans =', num_digits(large_num),
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'\ttime =', timeit("z.num_digits(z.large_num)",
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setup="import __main__ as z"), "seconds")
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print("> num_digits_fast()",
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'\tans =', num_digits_fast(large_num),
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'\ttime =', timeit("z.num_digits_fast(z.large_num)",
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setup="import __main__ as z"), "seconds")
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print("> num_digits_faster()",
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'\tans =', num_digits_faster(large_num),
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'\ttime =', timeit("z.num_digits_faster(z.large_num)",
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setup="import __main__ as z"), "seconds")
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if __name__ == "__main__":
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small_num = 262144
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medium_num = 1125899906842624
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large_num = 1267650600228229401496703205376
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benchmark()
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