mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-30 16:31:08 +00:00
bc5b92f7f9
* Harmonic Geometric and P-Series Added * Editing comments * Update and rename series/Geometric_Series.py to maths/series/geometric_series.py * Update and rename series/Harmonic_Series.py to maths/series/harmonic_series.py * Update and rename series/P_Series.py to maths/series/p_series.py
64 lines
2.2 KiB
Python
64 lines
2.2 KiB
Python
"""
|
|
This is a pure Python implementation of the Geometric Series algorithm
|
|
https://en.wikipedia.org/wiki/Geometric_series
|
|
|
|
Run the doctests with the following command:
|
|
python3 -m doctest -v geometric_series.py
|
|
or
|
|
python -m doctest -v geometric_series.py
|
|
For manual testing run:
|
|
python3 geometric_series.py
|
|
"""
|
|
|
|
|
|
def geometric_series(nth_term: int, start_term_a: int, common_ratio_r: int) -> list:
|
|
"""Pure Python implementation of Geometric Series algorithm
|
|
:param nth_term: The last term (nth term of Geometric Series)
|
|
:param start_term_a : The first term of Geometric Series
|
|
:param common_ratio_r : The common ratio between all the terms
|
|
:return: The Geometric Series starting from first term a and multiple of common
|
|
ration with first term with increase in power till last term (nth term)
|
|
Examples:
|
|
>>> geometric_series(4, 2, 2)
|
|
[2, '4.0', '8.0', '16.0']
|
|
>>> geometric_series(4.0, 2.0, 2.0)
|
|
[2.0, '4.0', '8.0', '16.0']
|
|
>>> geometric_series(4.1, 2.1, 2.1)
|
|
[2.1, '4.41', '9.261000000000001', '19.448100000000004']
|
|
>>> geometric_series(4, 2, -2)
|
|
[2, '-4.0', '8.0', '-16.0']
|
|
>>> geometric_series(4, -2, 2)
|
|
[-2, '-4.0', '-8.0', '-16.0']
|
|
>>> geometric_series(-4, 2, 2)
|
|
[]
|
|
>>> geometric_series(0, 100, 500)
|
|
[]
|
|
>>> geometric_series(1, 1, 1)
|
|
[1]
|
|
>>> geometric_series(0, 0, 0)
|
|
[]
|
|
"""
|
|
if "" in (nth_term, start_term_a, common_ratio_r):
|
|
return ""
|
|
series = []
|
|
power = 1
|
|
multiple = common_ratio_r
|
|
for _ in range(int(nth_term)):
|
|
if series == []:
|
|
series.append(start_term_a)
|
|
else:
|
|
power += 1
|
|
series.append(str(float(start_term_a) * float(multiple)))
|
|
multiple = pow(float(common_ratio_r), power)
|
|
return series
|
|
|
|
|
|
if __name__ == "__main__":
|
|
nth_term = input("Enter the last number (n term) of the Geometric Series")
|
|
start_term_a = input("Enter the starting term (a) of the Geometric Series")
|
|
common_ratio_r = input(
|
|
"Enter the common ratio between two terms (r) of the Geometric Series"
|
|
)
|
|
print("Formula of Geometric Series => a + ar + ar^2 ... +ar^n")
|
|
print(geometric_series(nth_term, start_term_a, common_ratio_r))
|