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slowy07 merged 2 commits into from
Apr 25, 2025
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chore: menambahkan fungsi gamma #329

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chore: menambahkan fungsi gamma
slowy07 Apr 20, 2025
e42af68
docs: update DIRECTORY.md
Apr 20, 2025
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1 change: 1 addition & 0 deletions DIRECTORY.md
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Expand Up @@ -257,6 +257,7 @@
* [Exponential Function](https://github.com/bellshade/Python/blob/main/math/exponential_function.py)
* [Faktor Prima](https://github.com/bellshade/Python/blob/main/math/faktor_prima.py)
* [Fibonacci](https://github.com/bellshade/Python/blob/main/math/fibonacci.py)
* [Fungsi Gamma](https://github.com/bellshade/Python/blob/main/math/fungsi_gamma.py)
* [Geometric Sum](https://github.com/bellshade/Python/blob/main/math/geometric_sum.py)
* [Intergration](https://github.com/bellshade/Python/blob/main/math/intergration.py)
* [Is Prime](https://github.com/bellshade/Python/blob/main/math/is_prime.py)
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63 changes: 63 additions & 0 deletions math/fungsi_gamma.py
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import math


def fungsi_gamma(nilai: float) -> float:
"""
Hitung nilai fungsi gamma untuk `nilai`
fungsi ini hanya mengdukung bilangan bulat seperti
(1, 2, 3, 4 ... n) atau nilai pecahan, berkoma
(0.1, 2.5, 3.4, 3.3 ... n)

informasi relevan tentang fungsi gamma:
- https://en.wikipedia.org/wiki/Gamma_function
- https://mathworld.wolfram.com/GammaFunction.html

Parameter:
nilai(float): nilai yang diberikan

Return:
(float): hasil kalkulasi fungsi gamma

Contoh:
>>> fungsi_gamma(0.5)
1.7724538509055159
>>> hitung_gamma(1)
1.0
>>> hitung_gamma(3.5)
3.3233509704478426
"""
# memastikan nilai tidak kurang atau sama dengan 0
# atau negatif
if nilai <= 0:
raise ValueError("nilai harus lebih besar dari nol")

# membuat batasan maks dari nilai yang diberikan
# fungsi logika ini hanya bersifat opsional
if nilai > 175.5:
raise OverflowError("nilai rentang terlalu besar")

# memastikan nilai adalh bilangan bulat atau pecahan
if nilai - int(nilai) not in (0, 0.5):
raise NotImplementedError("nilai harus bilangan bulat atau berkoma")

# buat basis rekursi dari gamma gamma(0.5) = sqrt(pi)
if nilai == 0.5:
return math.sqrt(math.pi)

# buat basis rekursi jika gamma(1) = 1
if nilai == 1:
return 1.0

return (nilai - 1) * fungsi_gamma(nilai - 1)


if __name__ == "__main__":
import doctest

doctest.testmod()

# contoh pemanggilan
# print(fungsi_gamma(1))

# nilai: float = 2.5
# print(f"hasil fungsi_gamma({nilai}) adalah: {fungsi_gamma(nilai)}")
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