TheAlgorithms_Python/maths/lucas_series.py at problem_122 · mindaugl/TheAlgorithms_Python · GitHub

Name: TheAlgorithms_Python/maths/lucas_series.py at problem_122 · mindaugl/TheAlgorithms_Python · GitHub
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"""
https://en.wikipedia.org/wiki/Lucas_number
"""


defrecursive_lucas_number(n_th_number: int) ->int:
"""
 Returns the nth lucas number
 >>> recursive_lucas_number(1)
 1
 >>> recursive_lucas_number(20)
 15127
 >>> recursive_lucas_number(0)
 2
 >>> recursive_lucas_number(25)
 167761
 >>> recursive_lucas_number(-1.5)
 Traceback (most recent call last):
 ...
 TypeError: recursive_lucas_number accepts only integer arguments.
 """
ifnotisinstance(n_th_number, int):
raiseTypeError("recursive_lucas_number accepts only integer arguments.")
ifn_th_number==0:
return2
ifn_th_number==1:
return1

returnrecursive_lucas_number(n_th_number-1) +recursive_lucas_number(
n_th_number-2
 )


defdynamic_lucas_number(n_th_number: int) ->int:
"""
 Returns the nth lucas number
 >>> dynamic_lucas_number(1)
 1
 >>> dynamic_lucas_number(20)
 15127
 >>> dynamic_lucas_number(0)
 2
 >>> dynamic_lucas_number(25)
 167761
 >>> dynamic_lucas_number(-1.5)
 Traceback (most recent call last):
 ...
 TypeError: dynamic_lucas_number accepts only integer arguments.
 """
ifnotisinstance(n_th_number, int):
raiseTypeError("dynamic_lucas_number accepts only integer arguments.")
a, b=2, 1
for_inrange(n_th_number):
a, b=b, a+b
returna


if__name__=="__main__":
fromdoctestimporttestmod

testmod()
n=int(input("Enter the number of terms in lucas series:\n").strip())
print("Using recursive function to calculate lucas series:")
print(" ".join(str(recursive_lucas_number(i)) foriinrange(n)))
print("\nUsing dynamic function to calculate lucas series:")
print(" ".join(str(dynamic_lucas_number(i)) foriinrange(n)))