diff --git a/.python-version b/.python-version index e4fba218..24ee5b1b 100644 --- a/.python-version +++ b/.python-version @@ -1 +1 @@ -3.12 +3.13 diff --git a/CONTRIBUTING.md b/CONTRIBUTING.md index cd06f09e..90e9944e 100644 --- a/CONTRIBUTING.md +++ b/CONTRIBUTING.md @@ -109,19 +109,25 @@ flake8 perubahan_kamu.py flake8 . ``` -Untuk *doctests*: +**Saran** -```bash -pytest . --doctest-modules -``` +[Pemahaman list dan generator](https://docs.python.org/3/tutorial/datastructures.html#list-comprehensions) lebih disukai daripada penggunaan `lambda`, `map`, `filter`. Tetapi yang penting adalah menunjukkan kekuatan Python dalam kode yang mudah dibaca dan dipelihara. + +kamu bisa dengan menggunakan pre-commit sebagai cek / menjalankan semua test dengan cara ```bash -pytest perubahan_kamu.py --doctest-modules --ignore=Basic/ -``` +# jika tidak ada pre-commit, install terlebih dahulu +pip install pre-commit -**Saran** +# jika menggunakan uv, kamu bisa menginstall dengan menggunakan uv +uv pip install pre-commit -[Pemahaman list dan generator](https://docs.python.org/3/tutorial/datastructures.html#list-comprehensions) lebih disukai daripada penggunaan `lambda`, `map`, `filter`. Tetapi yang penting adalah menunjukkan kekuatan Python dalam kode yang mudah dibaca dan dipelihara. +# jalakan perintahnya +pre-commit run --all-files + +# jika menggunakan uv +uv run pre-commit run --all-files +``` ## Tambahan Perubahan diff --git a/DIRECTORY.md b/DIRECTORY.md index 6057b5ab..625660be 100644 --- a/DIRECTORY.md +++ b/DIRECTORY.md @@ -147,6 +147,9 @@ * [Bogo Sorting](https://github.com/bellshade/Python/blob/main/algorithm/sorting/bogo_sorting.py) * [Bubble Sort](https://github.com/bellshade/Python/blob/main/algorithm/sorting/bubble_sort.py) * [Bubble Sort Ascii](https://github.com/bellshade/Python/blob/main/algorithm/sorting/bubble_sort_ascii.py) + * [Bucket Sort](https://github.com/bellshade/Python/blob/main/algorithm/sorting/bucket_sort.py) + * [Circle Sort](https://github.com/bellshade/Python/blob/main/algorithm/sorting/circle_sort.py) + * [Gnome Sorting](https://github.com/bellshade/Python/blob/main/algorithm/sorting/gnome_sorting.py) * [Merge Sort](https://github.com/bellshade/Python/blob/main/algorithm/sorting/merge_sort.py) * [Pop Sort](https://github.com/bellshade/Python/blob/main/algorithm/sorting/pop_sort.py) * [Quick Sorting](https://github.com/bellshade/Python/blob/main/algorithm/sorting/quick_sorting.py) @@ -223,7 +226,11 @@ * Image Processing * [Gambar Sepia](https://github.com/bellshade/Python/blob/main/implementation/image_processing/gambar_sepia.py) * Linear Algebra + * [Faktorisasi Lu](https://github.com/bellshade/Python/blob/main/implementation/linear_algebra/Faktorisasi_LU.py) + * [Ldlt Decomposition](https://github.com/bellshade/Python/blob/main/implementation/linear_algebra/LDLT_decomposition.py) + * [Lu Decomposition](https://github.com/bellshade/Python/blob/main/implementation/linear_algebra/LU_decomposition.py) * [Conjugate Gradient](https://github.com/bellshade/Python/blob/main/implementation/linear_algebra/conjugate_gradient.py) + * [Operasi Matriks](https://github.com/bellshade/Python/blob/main/implementation/linear_algebra/operasi_matriks.py) * [Polynom For Point](https://github.com/bellshade/Python/blob/main/implementation/linear_algebra/polynom_for_point.py) * [Rayleigh Quotient](https://github.com/bellshade/Python/blob/main/implementation/linear_algebra/rayleigh_quotient.py) * [Transformation 2D](https://github.com/bellshade/Python/blob/main/implementation/linear_algebra/transformation_2d.py) @@ -252,10 +259,14 @@ * [Angka Proth](https://github.com/bellshade/Python/blob/main/math/angka_proth.py) * [Bisection Math](https://github.com/bellshade/Python/blob/main/math/bisection_math.py) * [Convolution](https://github.com/bellshade/Python/blob/main/math/convolution.py) + * [Cos](https://github.com/bellshade/Python/blob/main/math/cos.py) * [Counter](https://github.com/bellshade/Python/blob/main/math/counter.py) + * [Deret Taylor](https://github.com/bellshade/Python/blob/main/math/deret_taylor.py) * [Digit Sum](https://github.com/bellshade/Python/blob/main/math/digit_sum.py) * [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) + * [Faktorial Looping](https://github.com/bellshade/Python/blob/main/math/faktorial_looping.py) + * [Faktorial Rekursif](https://github.com/bellshade/Python/blob/main/math/faktorial_rekursif.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) @@ -263,6 +274,7 @@ * [Is Prime](https://github.com/bellshade/Python/blob/main/math/is_prime.py) * [Iteration Power](https://github.com/bellshade/Python/blob/main/math/iteration_power.py) * [Jumlah Deret Geomteri](https://github.com/bellshade/Python/blob/main/math/jumlah_deret_geomteri.py) + * [Kombinasi Permutasi](https://github.com/bellshade/Python/blob/main/math/kombinasi_permutasi.py) * [Midpoint](https://github.com/bellshade/Python/blob/main/math/midpoint.py) * [Pascal Triangle](https://github.com/bellshade/Python/blob/main/math/pascal_triangle.py) * [Persamaan Kuadarat Bilangan Kompleks](https://github.com/bellshade/Python/blob/main/math/persamaan_kuadarat_bilangan_kompleks.py) @@ -275,6 +287,7 @@ * [Rectangle](https://github.com/bellshade/Python/blob/main/math/rectangle.py) * [Recursion Power](https://github.com/bellshade/Python/blob/main/math/recursion_power.py) * [Relu](https://github.com/bellshade/Python/blob/main/math/relu.py) + * [Rieman Integral](https://github.com/bellshade/Python/blob/main/math/rieman_integral.py) * [Segmented Sieve](https://github.com/bellshade/Python/blob/main/math/segmented_sieve.py) * [Sieve Of Eratosthenes](https://github.com/bellshade/Python/blob/main/math/sieve_of_eratosthenes.py) * [Sigmoid](https://github.com/bellshade/Python/blob/main/math/sigmoid.py) @@ -339,13 +352,19 @@ ## Other * [Anagramcheck](https://github.com/bellshade/Python/blob/main/other/anagramCheck.py) + * [Composite Number](https://github.com/bellshade/Python/blob/main/other/composite_number.py) * [Date To Weekday](https://github.com/bellshade/Python/blob/main/other/date_to_weekday.py) * [Doomsday Alg](https://github.com/bellshade/Python/blob/main/other/doomsday_alg.py) + * [Happy Number](https://github.com/bellshade/Python/blob/main/other/happy_number.py) * [Hex To Rgb](https://github.com/bellshade/Python/blob/main/other/hex_to_rgb.py) * [Is Palindrom](https://github.com/bellshade/Python/blob/main/other/is_palindrom.py) + * [Krisnamurtycheck](https://github.com/bellshade/Python/blob/main/other/krisnamurtyCheck.py) + * [Logic Gate](https://github.com/bellshade/Python/blob/main/other/logic_gate.py) + * [Lucky Number](https://github.com/bellshade/Python/blob/main/other/lucky_number.py) * [Power Dac](https://github.com/bellshade/Python/blob/main/other/power_dac.py) * [Rgb To Hex](https://github.com/bellshade/Python/blob/main/other/rgb_to_hex.py) * [Strong Password Check](https://github.com/bellshade/Python/blob/main/other/strong_password_check.py) + * [Taxicab](https://github.com/bellshade/Python/blob/main/other/taxicab.py) * [Tower Of Hanoi](https://github.com/bellshade/Python/blob/main/other/tower_of_hanoi.py) * Turtle * [Logo Apple](https://github.com/bellshade/Python/blob/main/other/turtle/logo_apple.py) @@ -369,6 +388,7 @@ * [Binary Tree Node Sum](https://github.com/bellshade/Python/blob/main/struktur_data/tree/binary_search_tree/binary_tree_node_sum.py) * [Binary Tree Path Sum](https://github.com/bellshade/Python/blob/main/struktur_data/tree/binary_search_tree/binary_tree_path_sum.py) * [Binary Tree Mirror](https://github.com/bellshade/Python/blob/main/struktur_data/tree/binary_tree_mirror.py) + * [Fenwick Tree](https://github.com/bellshade/Python/blob/main/struktur_data/tree/fenwick_tree.py) ## Web Programming * [Breadcrumb Generator](https://github.com/bellshade/Python/blob/main/web_programming/breadcrumb_generator.py) diff --git a/README.md b/README.md index 744664ac..0a6ce840 100644 --- a/README.md +++ b/README.md @@ -19,9 +19,9 @@ Repositori ini berisi kumpulan berbagai macam _source code_ struktur data, algor Python dibuat dan dikembangkan oleh Guido Van Rossum, programmer yang berasal dari Belanda. Pemilihan nama python itu sendiri diambil dari sebuah acara televisi yang lumayan terkenal yang bernama **Moth Python Flying Circus** yang merupakan acara sirkus favorit dari Guido. -Python adalah bahasa pemrograman multi paradigma, pemrogramaan berorientasi objek dan permograman terstruktur juga didukung penuh, dan banyak fiturnya mendukung pemrograman fungsional. +Python adalah bahasa pemrograman multi paradigma, pemrogramaan berorientasi objek dan pemrograman terstruktur juga didukung penuh, serta banyak fiturnya mendukung pemrograman fungsional. -Kelebihan diatara python antara lain +Kelebihan diantara python antara lain - Mudah digunakan untuk menulis di perangkat lunak terbaru - Mudah untuk diajarkan @@ -35,15 +35,15 @@ Contoh implementasi dari bahasa pemrograman python adalah - Aplikasi bisnis seperti tryton - Pembuatan game seperti battlefield 2 - Pengembangan web seperti django atau flask (library) -- Pengembangan dari situs web dan layanan sperti dropbox, buzfeed dan uber +- Pengembangan dari situs web dan layanan seperti dropbox, buzfeed dan uber ### Baru Belajar? Mulai dari [sini](Basic) 🌟 -Untuk menggunakan repositori dengan maksimal, kalian perlu belajar programming dasar dahulu. Silahkan ikuti alur belajar berikut untuk mempelajari dasar - dasar pemograman langsung menggunakan Python +Untuk menggunakan repositori dengan maksimal, kalian perlu belajar programming dasar dahulu. Silakan ikuti alur belajar berikut untuk mempelajari dasar-dasar pemograman langsung menggunakan Python | Langkah | Topik | Target Pembelajaran | Materi Rujukan | | :-----: | :------------------------------: | :-----------------------------------------------------------------------------------: | :-----------------------------------: | -| 01 | Introduksi Pemograman dan Python | Memahami apa itu membuat program dan apa peran Python dalam proses pembuatan program | [Materi](Basic/01_introduction) | +| 01 | Introduksi Pemrograman dan Python | Memahami apa itu membuat program dan apa peran Python dalam proses pembuatan program | [Materi](Basic/01_introduction) | | 02 | Tipe data | Memahami apa itu tipe data | [Materi](Basic/02_tipe_data) | | 03 | Variabel | Memahami apa itu variabel | [Materi](Basic/03_variable) | | 04 | Operasi | Dapat melakukan operasi sederhana menggunakan program yang ditulis menggunakan Python | [Materi](Basic/04_operator) | @@ -60,12 +60,12 @@ Untuk menggunakan repositori dengan maksimal, kalian perlu belajar programming d | 15 | Math | Mengenal module math pada python | [Materi](Basic/15_python_math) | | 16 | kelas | Mengenal kelas pada python | [Materi](Basic/16_class) | -Setelah menyelesaikan seluruh rangkaian pengenalan dasar - dasar pemograman, kalian dapat mulai untuk mempelajari topik - topik lain yang jauh lebih seru! +Setelah menyelesaikan seluruh rangkaian pengenalan dasar-dasar pemrograman, kalian dapat mulai untuk mempelajari topik-topik lain yang jauh lebih seru! Untuk sekarang, mulai saja dulu dengan [Object Oriented Programming](object_oriented_programming/README.md) ## 🎓 Topik Lanjutan 🎓 -Jika kalian sudah menguasai dasar - dasar pemograman beserta dengan paradigma _Object Oriented Programming_, kalian bisa langsung mengeksplorasi topik - topik lain yang jauh lebih menantang dan tidak kalah seru. Di repositori ini, kami telah menyiapkan beberapa topik yang mungkin kamu suka. +Jika kalian sudah menguasai dasar-dasar pemrograman beserta dengan paradigma _Object Oriented Programming_, kalian bisa langsung mengeksplorasi topik-topik lain yang jauh lebih menantang dan tidak kalah seru. Di repositori ini, kami telah menyiapkan beberapa topik yang mungkin kamu suka. 1. [Struktur Data](/struktur_data) diff --git a/algorithm/sorting/bucket_sort.py b/algorithm/sorting/bucket_sort.py new file mode 100644 index 00000000..9572d5b4 --- /dev/null +++ b/algorithm/sorting/bucket_sort.py @@ -0,0 +1,51 @@ +# Bucket Sort adalah algoritma pengurutan +# yang membagi array ke dalam beberapa bucket, +# lalu setiap bucket diurutkan secara individu +# dan akhirnya semua bucket digabungkan menjadi array akhir. + +# Distribusikan elemen ke dalam bucket. +# Urutkan masing-masing bucket. +# Gabungkan semua bucket menjadi satu list terurut. + + +def bucket_sort(collection: list[float]) -> list[float]: + """ + contoh + >>> bucket_sort([0.25, 0.36, 0.58, 0.41, 0.29, 0.22, 0.45, 0.79]) + [0.22, 0.25, 0.29, 0.36, 0.41, 0.45, 0.58, 0.79] + >>> bucket_sort([0.5, 0.3, 0.9, 0.7]) + [0.3, 0.5, 0.7, 0.9] + """ + + if len(collection) == 0: + return collection + + # Membuat bucket kosong + bucket_count: int = len(collection) + buckets: list[list[float]] = [[] for _ in range(bucket_count)] + + # Menempatkan elemen ke dalam bucket + for value in collection: + index: int = int(value * bucket_count) + if index != bucket_count: + buckets[index].append(value) + else: + buckets[bucket_count - 1].append(value) + + # Mengurutkan setiap bucket dan menggabungkannya + sorted_array: list[float] = [] + for bucket in buckets: + sorted_array.extend(sorted(bucket)) + + return sorted_array + + +if __name__ == "__main__": + import doctest + + doctest.testmod(verbose=True) + + data: list[float] = [0.78, 0.17, 0.39, 0.26, 0.72, 0.94, 0.21, 0.12, 0.23, 0.68] + unsorted: list[float] = [float(item) for item in data] + print(f"data yang belum di sorting adalah {unsorted}") + print(f"data yang sudah di sorting {bucket_sort(unsorted)}") diff --git a/algorithm/sorting/circle_sort.py b/algorithm/sorting/circle_sort.py new file mode 100644 index 00000000..c0a13839 --- /dev/null +++ b/algorithm/sorting/circle_sort.py @@ -0,0 +1,52 @@ +# Circle Sort adalah algoritma pengurutan +# berbasis rekursif yang membandingkan dan +# menukar elemen-elemen dari ujung ke tengah, +# berulang sampai array tersortir. + +# Bandingkan elemen paling kiri dengan paling kanan. +# Jika elemen kiri lebih besar, tukar dengan elemen kanan. +# Lanjutkan ke tengah array, lalu lakukan rekursi. + + +def circle_sort(collection: list[int]) -> list[int]: + """ + contoh + >>> circle_sort([5, 3, 2, 8, 1, 4]) + [1, 2, 3, 4, 5, 8] + >>> circle_sort([10, 20, -5, 7, 3]) + [-5, 3, 7, 10, 20] + """ + + def circle_sort_rec(arr: list[int], left: int, right: int) -> bool: + if left == right: + return False + swapped = False + l, r = left, right + while l < r: + if arr[l] > arr[r]: + arr[l], arr[r] = arr[r], arr[l] + swapped = True + l += 1 + r -= 1 + if l == r and arr[l] > arr[r + 1]: + arr[l], arr[r + 1] = arr[r + 1], arr[l] + swapped = True + mid = (right - left) // 2 + left + left_swapped = circle_sort_rec(arr, left, mid) + right_swapped = circle_sort_rec(arr, mid + 1, right) + return swapped or left_swapped or right_swapped + + while circle_sort_rec(collection, 0, len(collection) - 1): + pass + return collection + + +if __name__ == "__main__": + import doctest + + doctest.testmod(verbose=True) + + data: list[int] = [10, -2, 7, 4, 3] + unsorted: list[int] = [int(item) for item in data] + print(f"data yang belum di sorting adalah {unsorted}") + print(f"data yang sudah di sorting {circle_sort(unsorted)}") diff --git a/algorithm/sorting/gnome_sorting.py b/algorithm/sorting/gnome_sorting.py new file mode 100644 index 00000000..865667b2 --- /dev/null +++ b/algorithm/sorting/gnome_sorting.py @@ -0,0 +1,38 @@ +def gnome_sorting(daftar: list) -> list: + """ + Implementasi dari algoritma gnome sorting + + fungsi yang menerima daftar yang dapat nantinya diubah + dan diurut dengan elemen heterogen yang bisa dibandingkan, + lalu mengembalikan list tersebut dalam urutan menaik + + Parameter: + daftar (list): data yang ingin diberikan + + Return: + (list): hasil sorting gnome + + Contoh: + >>> gnome_sorting([0, 5, 3, 2, 2]) + [0, 2, 2, 3, 5] + """ + if len(daftar) <= 1: + return daftar + + i = 1 + while i < len(daftar): + if daftar[i - 1] <= daftar[i]: + i += 1 + else: + # tukar elemen jika tidak dalam urutan yang bener + daftar[i - 1], daftar[i] = daftar[i], daftar[i - 1] + i -= 1 + if i == 0: + i = 1 + return daftar + + +if __name__ == "__main__": + import doctest + + doctest.testmod(verbose=True) diff --git a/implementation/linear_algebra/Faktorisasi_LU.py b/implementation/linear_algebra/Faktorisasi_LU.py new file mode 100644 index 00000000..c219e35d --- /dev/null +++ b/implementation/linear_algebra/Faktorisasi_LU.py @@ -0,0 +1,41 @@ +# https://en.wikipedia.org/wiki/LU_decomposition#Algorithms + +from typing import Union + + +def LU(A: list[list[Union[int, float]]]) -> list[list[Union[int, float]]]: + """ + >>> A = [[2, 3, 1], [4, 7, 7], [-2, 4, 5]] + >>> L, U = LU(A) + >>> L + [[1, 0, 0], [2.0, 1, 0], [-1.0, 7.0, 1]] + >>> U + [[2, 3, 1], [0.0, 1.0, 5.0], [0.0, 0.0, -29.0]] + """ + n = len(A) + L = [[1 if i == j else 0 for j in range(n)] for i in range(n)] + U = [[A[i][j] for j in range(n)] for i in range(n)] + + for k in range(n - 1): + if U[k][k] == 0: + + raise ValueError("Faktorisasi LU tidak ada") + for i in range(k + 1, n): + L[i][k] = U[i][k] / U[k][k] + for j in range(k, n): + U[i][j] -= L[i][k] * U[k][j] + return L, U + + +def main(args=None): + import doctest + + doctest.testmod() + A = [[2, 3, 1], [4, 7, 7], [-2, 4, 5]] + L, U = LU(A) + print(L) + print(U) + + +if __name__ == "__main__": + main() diff --git a/implementation/linear_algebra/LDLT_decomposition.py b/implementation/linear_algebra/LDLT_decomposition.py new file mode 100644 index 00000000..92a9131c --- /dev/null +++ b/implementation/linear_algebra/LDLT_decomposition.py @@ -0,0 +1,52 @@ +# https://en.wikipedia.org/wiki/Cholesky_decomposition#LDL_decomposition + + +def transpose(x: list[list[int]]) -> list[list[int]]: + """ + >>> transpose([[1, 2], [3, 4]]) + [[1, 3], [2, 4]] + """ + x = [[x[j][i] for j in range(len(x))] for i in range(len(x[0]))] + return x + + +def LDLT_decomposition(x: list[list[int]]) -> list[list[int]]: + """ + >>> L, D, Lt = LDLT_decomposition([[2, 4, 6], [4, 9, 14], [6, 14, 19]]) + >>> L + [[1, 0, 0], [2.0, 1, 0], [3.0, 2.0, 1]] + >>> D + [2.0, 1.0, -3.0] + >>> Lt + [[1, 2.0, 3.0], [0, 1, 2.0], [0, 0, 1]] + """ + if transpose(x) == x: + n = len(x) + L = [[0 for _ in range(len(x))] for _ in range(len(x))] + d = [0 for _ in range(len(x))] + for i in range(n): + sum_val = 0.0 + for k in range(i): + sum_val += (L[i][k] ** 2) * d[k] + d[i] = x[i][i] - sum_val + + for j in range(i + 1, n): + sum_val = 0.0 + for k in range(i): + sum_val += L[j][k] * L[i][k] * d[k] + L[j][i] = (x[j][i] - sum_val) / d[i] + L[i][i] = 1 + Lt = transpose(L) + return L, d, Lt + else: + return ValueError("Matriks tidak simetri") + + +def main(args=None): + import doctest + + doctest.testmod() + + +if __name__ == "__main__": + main() diff --git a/implementation/linear_algebra/LU_decomposition.py b/implementation/linear_algebra/LU_decomposition.py new file mode 100644 index 00000000..c5d141a7 --- /dev/null +++ b/implementation/linear_algebra/LU_decomposition.py @@ -0,0 +1,42 @@ +# https://en.wikipedia.org/wiki/LU_decomposition#Algorithms +from typing import Union + + +def LU(A: list[list[Union[int, float]]]) -> list[list[Union[int, float]]]: + """ + >>> A = [[2, 3, 1], [4, 7, 7], [-2, 4, 5]] + >>> L, U = LU(A) + >>> L + [[1, 0, 0], [2.0, 1, 0], [-1.0, 7.0, 1]] + >>> U + [[2, 3, 1], [0.0, 1.0, 5.0], [0.0, 0.0, -29.0]] + """ + n = len(A) + L = [[1 if i == j else 0 for j in range(n)] for i in range(n)] + U = [[A[i][j] for j in range(n)] for i in range(n)] + + for k in range(n - 1): + if U[k][k] == 0: + raise ValueError("Faktorisasi LU tidak ada") + for i in range(k + 1, n): + L[i][k] = U[i][k] / U[k][k] + for j in range(k, n): + U[i][j] -= L[i][k] * U[k][j] + return L, U + + +def main(args=None): + import doctest + + doctest.testmod() + A = [[2, 3, 1], [4, 7, 7], [-2, 4, 5]] + L, U = LU(A) + for row in L: + print(row) + print("\n") + for row in U: + print(row) + + +if __name__ == "__main__": + main() diff --git a/implementation/linear_algebra/operasi_matriks.py b/implementation/linear_algebra/operasi_matriks.py new file mode 100644 index 00000000..40b7b443 --- /dev/null +++ b/implementation/linear_algebra/operasi_matriks.py @@ -0,0 +1,123 @@ +# macam - macam operasi matriks +from typing import Union + + +def penjumlahan( + matriks_1: list[list[Union[int, float]]], matriks_2: list[list[Union[int, float]]] +) -> list[list[Union[int, float]]]: + """ + Fungsi untuk melakukan penjumlahan 2 matrriks + + >>> penjumlahan([[2, 3], [3, 4]], [[3, 2], [2, 1]]) + [[5, 5], [5, 5]] + """ + if len(matriks_1) != len(matriks_2): + return ValueError("Ukuran Matriks Harus Sama") + else: + result = [] + n = len(matriks_1) + for i in range(n): + row = [] + for j in range(n): + operation = matriks_1[i][j] + matriks_2[i][j] + row.append(operation) + result.append(row) + return result + + +def pengurangan( + matriks_1: list[list[Union[int, float]]], matriks_2: list[list[Union[int, float]]] +) -> list[list[Union[int, float]]]: + """ + Fungsi untuk melakukan kalkulasi pengurangan matriks + + >>> pengurangan([[3, 3], [3, 3]], [[2, 1], [2, 1]]) + [[1, 2], [1, 2]] + """ + if len(matriks_1) != len(matriks_2): + return ValueError("Ukuran Matriks Sama") + else: + result = [] + n = len(matriks_1) + for i in range(n): + row = [] + for j in range(n): + operation = matriks_1[i][j] - matriks_2[i][j] + row.append(operation) + result.append(row) + return result + + +def perkalian( + matriks_1: list[list[Union[int, float]]], matriks_2: list[list[Union[int, float]]] +) -> list[list[Union[int, float]]]: + """ + Fungsi untuk melakukan kalkulasi perkalian matriks + + >>> perkalian([[1, 2], [3, 4]], [[5, 6], [7, 8]]) + [[19, 22], [43, 50]] + """ + baris1 = len(matriks_1) + kolom1 = len(matriks_1[0]) + baris2 = len(matriks_2) + kolom2 = len(matriks_2[0]) + if kolom1 != baris2: + return ValueError("Ukuran baris dan kolom mesti sama") + + result = [[0 for _ in range(kolom2)] for _ in range(baris1)] + for i in range(baris1): + for j in range(kolom2): + for k in range(kolom1): + result[i][j] += matriks_1[i][k] * matriks_2[k][j] + return result + + +def perkalian_skalar_matriks( + matriks: list[list[Union[int, float]]], x: int +) -> list[list[Union[int, float]]]: + """ + Fungsi untuk kalkulasi skalar dan matriks + + >>> perkalian_skalar_matriks([[1, 2, 3], [4, 5, 6], [7, 8, 9]], 2) + [[2, 4, 6], [8, 10, 12], [14, 16, 18]] + """ + result = [] + n = len(matriks) + for i in range(n): + row = [] + for j in range(n): + multi = x * matriks[i][j] + row.append(multi) + result.append(row) + return result + + +def matriks_identitas(n: int) -> list[list[int]]: + """ + Funsi untuk menghasilkan matriks identitas + + >>> matriks_identitas(2) + [[1, 0], [0, 1]] + >>> matriks_identitas(3) + [[1, 0, 0], [0, 1, 0], [0, 0, 1]] + """ + if n < 0: + return ValueError("ukuran harus positif") + else: + return [[1 if j == i else 0 for j in range(int(n))] for i in range(int(n))] + + +def main(args=None): + import doctest + + print(penjumlahan([[2, 3], [3, 4]], [[3, 2], [2, 1]])) + print(pengurangan([[3, 3], [3, 3]], [[2, 1], [2, 1]])) + print(perkalian([[1, 2], [3, 4]], [[5, 6], [7, 8]])) + print(perkalian_skalar_matriks([[1, 2, 3], [4, 5, 6], [7, 8, 9]], 2)) + print(matriks_identitas(3)) + + doctest.testmod() + + +if __name__ == "__main__": + main() diff --git a/math/cos.py b/math/cos.py new file mode 100644 index 00000000..91e38c58 --- /dev/null +++ b/math/cos.py @@ -0,0 +1,56 @@ +# Menghitung cosisnus dengan menggunakan deret taylor +# https://en.wikipedia.org/wiki/Taylor_series#Trigonometric_functions +import math + + +def factorial(x) -> int: + if x < 0: + return ValueError("Angkanya harus bilangan real") + if x == 0 or x == 1: + return 1 + else: + return x * (factorial(x - 1)) + + +def cosinus(sudut) -> float: + """ + Cosinus adalah sebuah perbandingan dari sisi samping dan + miring segitiga siku-siku. + + >>> cosinus(0) + 1.0 + >>> cosinus(30) + 0.8660254037844386 + >>> cosinus(45) + 0.7071067811865475 + >>> cosinus(60) + 0.5000000000000001 + >>> cosinus(90) + -3.3769215522516056e-15 + """ + result = 0.0 + interable = 10 + radian = sudut * math.pi / 180 + for i in range(interable): + numerator = math.pow(radian, 2 * i) * math.pow(-1, i) + detector = factorial(2 * i) + result = result + (numerator / detector) + + return float(result) + + +def main(args=None): + import doctest + + doctest.testmod() + + # base case + print(cosinus(0)) # 1.0 + print(cosinus(30)) # 0.8660254037844386 + print(cosinus(45)) # 0.7071067811865475 + print(cosinus(60)) # 0.5000000000000001 + print(cosinus(90)) # -3.3769215522516056e-15 + + +if __name__ == "__main__": + main() diff --git a/math/deret_taylor.py b/math/deret_taylor.py new file mode 100644 index 00000000..2cf30a4d --- /dev/null +++ b/math/deret_taylor.py @@ -0,0 +1,124 @@ +# macam - macam deret taylor +# https://en.wikipedia.org/wiki/Taylor_series +import math + + +def faktorial(n: int) -> int: + """ + Fungsi untuk kalkulasi faktorial + parameter : + n = bilangan bulat + return : + hasil = hasil dari operasi faktorial + """ + if n == 1 or n == 0: + return 1 + if n > 1: + return n * faktorial(n - 1) + else: + return ValueError("Nilai Tidak valid") + + +def sin(x: float) -> float: + """ + Fungsi untuk kalkulasi dari deret sin. + Input dari fungsi ini dikonvergensi menjadi + radian. + >>> sin(0) + 0.0 + >>> sin(45) + 0.7071067811865475 + """ + result = 0.0 + interable = 10 + radian = x * math.pi / 180 + for i in range(interable + 1): + numerator = math.pow(radian, (1 + i * 2)) * math.pow(-1, i) + detector = faktorial((1 + 2 * i)) + result = result + (numerator / detector) + return float(result) + + +def cos(x: float) -> float: + """ + Fungsi untuk kalkulasi dari deret cosinus. + Input dari fungsi ini dikonvergensi menjadi + radian. + >>> cos(0) + 1.0 + >>> cos(45) + 0.7071067811865475 + """ + result = 0.0 + interable = 10 + radian = x * math.pi / 180 + for i in range(interable): + numerator = math.pow(radian, 2 * i) * math.pow(-1, i) + detector = faktorial(2 * i) + result = result + (numerator / detector) + return float(result) + + +def euler(x: int = 1) -> float: + """ + Fungsi untuk kalkulasi dari deret + taylor euler e^x + >>> euler(1) + 2.7182815255731922 + >>> euler(2) + 7.3887125220458545 + """ + result = 0.0 + interable = 10 + for i in range(interable): + numerator = math.pow(x, (i)) + detector = faktorial(i) + result = result + (numerator / detector) + return float(result) + + +def ln(x: float) -> float: + """ + Fungsi untuk melakukan kalkulasi deret taylor + ln(x + 1).Dengan batas -1 < x <= 1. + >>> ln(0.5) + 0.4054346478174603 + >>> ln(1) + 0.6456349206349207 + """ + if x > -1 and x <= 1: + result = 0.0 + interable = 10 + for i in range(1, interable + 1): + numerator = math.pow(x, i) * math.pow(-1, i + 1) + detector = i + result = result + (numerator / detector) + return float(result) + else: + return ValueError("Angka tidak valid") + + +def main(args=None): + import doctest + + doctest.testmod() + + # test untuk fungsi cos + print(cos(0)) + print(cos(45)) + + # test untuk fungsi sin + print(sin(0)) + print(sin(45)) + + # test untuk fungsi euler + print(euler(1)) + print(euler(2)) + + # test untuk fungsi ln(1 + x) + print(ln(0.5)) + print(ln(1)) + + +if __name__ == "__main__": + main() diff --git a/math/faktorial_looping.py b/math/faktorial_looping.py new file mode 100644 index 00000000..5e481578 --- /dev/null +++ b/math/faktorial_looping.py @@ -0,0 +1,46 @@ +def faktorial_looping(angka: int) -> int: + """ + Faktorial adalah hasil perkalian dari semua bilangan positif yang dimulai + dari 1 hingga bilangan tersebut, notasi dalam faktorial dilambangan dengan + exclamation `angka!` / `n!` / `number!` + + pendekatan perhitungan ini menggunakan metode looping, salah satunya dengan + menggunakan looping `for` statement. + + sebagai contoh: + + 5 x 4 x 3 x 2 x 1 = 120, jika nilai yang diberikan nol maka hasilnya adalah 1 + + Parameter: + angka (int): nilai yang dikalkulasi faktorialnya + + Return: + int: hasil nilai yang akan diberikan dari `angka!` + + Contoh: + >>> faktorial(5) + 120 + >>> faktorial(2) + 2 + >>> faktorial(10) + 3628800 + """ + if not isinstance(angka, int): + raise TypeError("fungsi faktorial() hanya bekerja dengan tipe data integer") + + if angka < 0: + raise ValueError("parameter angka tidak boleh negatif") + + nilai: int = 1 + for i in range(1, angka + 1): + nilai *= i + return nilai + + +if __name__ == "__main__": + import doctest + + doctest.testmod() + + angka: int = 3 + print(f"faktorial dari {angka} adalah: {faktorial_looping(3)}") diff --git a/math/faktorial_rekursif.py b/math/faktorial_rekursif.py new file mode 100644 index 00000000..5c9ad028 --- /dev/null +++ b/math/faktorial_rekursif.py @@ -0,0 +1,43 @@ +def faktorial_rekursif(angka: int) -> int: + """ + Faktorial adalah hasil perkalian dari semua bilangan positif yang dimulai + dari 1 hingga bilangan tersebut, notasi dalam faktorial dilambangan dengan + exclamation `angka!` / `n!` / `number!` + + pendekatan perhitungan ini menggunakan pendekatan rekursif, dengan memanggil + fungsinya sendiri hingga mencapai base casenya. + + sebagai contoh: + + 5 x 4 x 3 x 2 x 1 = 120, jika nilai yang diberikan nol maka hasilnya adalah 1 + + Parameter: + angka (int): nilai yang dikalkulasi faktorialnya + + Return: + int: hasil nilai yang akan diberikan dari `angka!` + + Contoh: + >>> faktorial(5) + 120 + >>> faktorial(2) + 2 + >>> faktorial(10) + 3628800 + """ + if not isinstance(angka, int): + raise TypeError("fungsi faktorial() hanya bekerja dengan tipe data integer") + + if angka < 0: + raise ValueError("parameter angka tidak boleh negatif") + + return 1 if angka in {0, 1} else angka * faktorial_rekursif(angka - 1) + + +if __name__ == "__main__": + import doctest + + doctest.testmod() + + angka: int = 3 + print(f"faktorial dari {angka} adalah: {faktorial_rekursif(3)}") diff --git a/math/kombinasi_permutasi.py b/math/kombinasi_permutasi.py new file mode 100644 index 00000000..9a289d8d --- /dev/null +++ b/math/kombinasi_permutasi.py @@ -0,0 +1,58 @@ +# https://en.wikipedia.org/wiki/Combination +# https://en.wikipedia.org/wiki/Permutation + + +def faktorial(n: int) -> int: + """ + Fungsi untuk menghitung faktorial + + >>> faktorial(5) + 120 + """ + if n <= 0: + return ValueError("Nilai tidak boleh kurang dari nol") + else: + f = 1 + for i in range(1, n + 1): + f *= i + return f + + +def kombinasi(n: int, r: int) -> int: + """ + Fungsi untuk kalkulasi kombinasi + + >>> kombinasi(5, 2) + 10.0 + """ + if n <= 0 or r <= 0: + return ValueError("Nilai tidak boleh kurang dari nol") + else: + penyebut = faktorial(n) + pembilang = faktorial(r) * faktorial(n - r) + return penyebut / pembilang + + +def permutasi(n: int, r: int) -> int: + """ + Fungsi untuk kalkulasi permutasi + + >>> permutasi(6, 2) + 30.0 + """ + if n <= 0 or r <= 0: + return ValueError("Nilai tidak boleh kurang dari nol") + else: + penyebut = faktorial(n) + pembilang = faktorial(n - r) + return penyebut / pembilang + + +def main(args=None): + import doctest + + doctest.testmod() + + +if __name__ == "__main__": + main() diff --git a/math/pascal_triangle.py b/math/pascal_triangle.py index 4da314dd..465af9b7 100644 --- a/math/pascal_triangle.py +++ b/math/pascal_triangle.py @@ -26,6 +26,25 @@ def PascalTriangle(n: int) -> list[list[int]]: return result +def pascal_matriks(n: int) -> list[list[int]]: + """ + Fungsi untuk membuata matriks segitiga pascal + + >>> print(pascal_matriks(3)) + [[1, 0, 0], [1, 1, 0], [1, 2, 1]] + >>> print(pascal_matriks(4)) + [[1, 0, 0, 0], [1, 1, 0, 0], [1, 2, 1, 0], [1, 3, 3, 1]] + """ + result = [[0 for _ in range(n)] for _ in range(n)] + for i in range(n): + for j in range(i + 1): + if j == 0 or j == i: + result[i][j] = 1 + else: + result[i][j] = result[i - 1][j - 1] + result[i - 1][j] + return result + + if __name__ == "__main__": import doctest diff --git a/math/rieman_integral.py b/math/rieman_integral.py new file mode 100644 index 00000000..3f6b84ec --- /dev/null +++ b/math/rieman_integral.py @@ -0,0 +1,61 @@ +from typing import Callable +import math + + +def rieman_integral( + fungsiHitung: Callable[[float], float], a: float, b: float, n: int, approx: str +) -> float: + """ + >>> rieman_integral(math.sin,0,math.pi/2,100,"tengah") + 1.0000102809119051 + >>> rieman_integral(math.sin,0,math.pi/2,100,"kanan") + 1.007833419873582 + >>> rieman_integral(math.sin,0,math.pi/2,100,"kiri") + 0.9921254566056331 + """ + delta_x = (b - a) / n + sigma = 0.0 + approx = approx.lower() + + for i in range(n): + left = a + i * delta_x + right = left + delta_x + + if not callable(fungsiHitung): + raise TypeError("Fungsi harus cabble") + if approx == "kiri": + x_i = left + elif approx == "kanan": + x_i = right + elif approx == "tengah": + x_i = left + 0.5 * delta_x + else: + raise ValueError("masukkan approx benar") + + sigma += fungsiHitung(x_i) + + return delta_x * sigma + + +def main(args=None): + import doctest + + doctest.testmod() + + # persamaan x + def f(x): + return x + + print(rieman_integral(f, 0, 1, 1, "tengah")) # 0.5 + + # persamaan 4/(1+x^2) + def g(x): + return (4) / (1 + x**2) + + print(rieman_integral(g, 0, 1, 1000, "tengah")) # 3.1415927369231227 + + print(rieman_integral(math.sin, 0, math.pi / 2, 100, "kiri")) # 0.9921254566056331 + + +if __name__ == "__main__": + main() diff --git a/math/sin.py b/math/sin.py index 58f4ebd0..548472ec 100644 --- a/math/sin.py +++ b/math/sin.py @@ -1,4 +1,6 @@ -from math import pi, e +# Menghitung sinus dengan deret taylor +# https://en.wikipedia.org/wiki/Taylor_series#Trigonometric_functions +import math def factorial(n: int) -> int: @@ -10,29 +12,37 @@ def factorial(n: int) -> int: return n * factorial(n - 1) -def sinus(x: float | int, iterable: int = 4): +def sinus(sudut : float | int, iterable: int = 10): """ Sinus ini merupakan perhitungan dasar yang ada pada teori pythagoras Args: - x (float | int): input ini merupakan value dari sudut yang kita + sudut (float | int): input ini merupakan value dari sudut yang kita inputkan - iterable (int, optional): paramater ini untuk jumlah data yang kuta sum kan - Defaults to 4. Returns: - complex: hasil dari pembagian numerator (complex) dengan denominator + (float): hasil dari pembagian numerator dengan denominator + + >>> sinus(0) + 0.0 + >>> sinus(30) + 0.49999999999999994 + >>> sinus(45) + 0.7071067811865475 + >>> sinus(60) + 0.8660254037844385 + >>> sinus(90) + 1.0 """ - result = 0 + result = 0.0 + radian = sudut * math.pi / 180 for n in range(iterable): - numerator = (e ** (complex(0, pi / 180) * x)) - ( - e ** (-complex(0, pi / 180) * x) - ) + numerator = math.pow(radian, 2 * n + 1) * math.pow(-1, n) denominator = factorial(2 * n + 1) result += numerator / denominator - return result + return float(result) if __name__ == "__main__": - list_sudut = [0, pi / 2, pi * 3 / 4, pi] + list_sudut = [0, 30, 45, 60, 90] for sudut in list_sudut: - print("Sudut:", sudut, "Sin:", sinus(sudut)) + print(f"Sudut : {sudut}, Sin : {sinus(sudut)}") diff --git a/other/composite_number.py b/other/composite_number.py new file mode 100644 index 00000000..a18dfda5 --- /dev/null +++ b/other/composite_number.py @@ -0,0 +1,82 @@ +# Composite number adalah angka yang bukan prima +# https://en.wikipedia.org/wiki/Composite_number +import math + + +def compositer_number(number: int) -> int | str: + """ + Fungsi ini membuat daftar compositer number sesuai range + tertentu. + + >>> compositer_number(2) + 'Bukan angka compositer' + >>> compositer_number(10) + [4, 6, 8, 9, 10] + """ + bukan = "Bukan angka compositer" + if number < 4: + return bukan + + list_number = [False] * (number + 1) + p = 2 + + while p * p <= number: + if not list_number[p]: + + for i in range(p * p, number + 1, p): + list_number[i] = True + + p += 1 + + result = [] + + for p in range(4, number + 1): + if list_number[p]: + result.append(p) + + return result + + +def is_compositor(number: int) -> str: + """ + Fungsi ini mengecek apakah bilangan ini termasuk compositor + atau tidak. + + >>> is_compositor(8) + 'Angka compositor' + >>> is_compositor(6) + 'Angka compositor' + >>> is_compositor(5) + 'Bukan Angka Compositor' + >>> is_compositor(7) + 'Bukan Angka Compositor' + + """ + benar, bukan = "Angka compositor", "Bukan Angka Compositor" + if number < 4: + return bukan + + for i in range(2, int(math.sqrt(number)) + 1): + if number % i == 0: + return benar + + return bukan + + +def main(args=None): + import doctest + + doctest.testmod() + + # sample test + print(compositer_number(2)) # Bukan angka compositer + print(compositer_number(10)) # [4, 6, 8, 9, 10] + print("\n") + print(is_compositor(8)) # Angka Compositor + print(is_compositor(6)) # Angka Compositor + print(is_compositor(5)) # Bukan Angka Compositor + print(is_compositor(7)) # Bukan Angka Compositor + + +if __name__ == "__main__": + main() diff --git a/other/happy_number.py b/other/happy_number.py new file mode 100644 index 00000000..45d105b6 --- /dev/null +++ b/other/happy_number.py @@ -0,0 +1,62 @@ +# Mengecek apakah angka adalah sebuah happy number atau sad number +# https://en.wikipedia.org/wiki/Happy_number +def sum_digit(number): + value_digit = 0 + while number > 0: + digit = number % 10 + value_digit += digit * digit + number = number // 10 + return value_digit + + +def happy_or_sad(number) -> str: + """ + Happy number adalah sebuah angka yang dimana nanti akan kembali + menjadi satu jika di lakukan penjumlahan kuadrat. + + 13 = 1^2 + 3^2 = 10 = 1^2 + 0^2 = 1 -> Happy Number + 4 = 4^2 = 16 = 1^2 + 6^2 = 37 ... 2^2 + 0 = 4 -> Sad Number + + >>> happy_or_sad(23) + 'happy number' + >>> happy_or_sad(44) + 'happy number' + >>> happy_or_sad(8) + 'sad number' + >>> happy_or_sad(20) + 'sad number' + """ + set_value = set() + happy, sad = "happy number", "sad number" + while True: + if number == 1: + return str(happy) + + number = sum_digit(number) + + if number in set_value: + return str(sad) + + set_value.add(number) + + +def main(args=None): + import doctest + + doctest.testmod() + + # sample case + happy_numbers = [1, 7, 23, 31, 44] + unhappy_numbers = [2, 3, 8, 20, 4] + + for i in happy_numbers: + print(happy_or_sad(i)) + + print("\n") + + for i in unhappy_numbers: + print(happy_or_sad(i)) + + +if __name__ == "__main__": + main() diff --git a/other/krisnamurtyCheck.py b/other/krisnamurtyCheck.py new file mode 100644 index 00000000..aa867824 --- /dev/null +++ b/other/krisnamurtyCheck.py @@ -0,0 +1,42 @@ +# Mengecek apakah krisnamurty atau bukan +from math import factorial + + +def krisnamurty(number: int) -> int | str: + """ + Angka Krisnamurty adalah angka factorial yang setiap digitnya + sama dengan factorial nya. + + contoh : + 145! = 1! + 4! + 5! -> Angka Krisnamurty + + >>> krisnamurty(145) + 'Angka Krisnamurty' + >>> krisnamurty(1) + 'Angka Krisnamurty' + >>> krisnamurty(123) + 'Bukan Angka Krisnamuty' + + """ + error = "Masukkan Angka dengan benar" + benar, bukan = "Angka Krisnamurty", "Bukan Angka Krisnamuty" + if not isinstance(number, int) or number < 0: + return error + else: + total = sum(factorial(int(d)) for d in str(number)) + return benar if total == number else bukan + + +def main(args=None): + import doctest + + doctest.testmod() + + # sample case + print(krisnamurty(145)) # Angka Krisnamurty + print(krisnamurty(1)) # Angka Krisnamurty + print(krisnamurty(123)) # Bukan Angka Krisnamuty + + +if __name__ == "__main__": + main() diff --git a/other/logic_gate.py b/other/logic_gate.py new file mode 100644 index 00000000..4abc8413 --- /dev/null +++ b/other/logic_gate.py @@ -0,0 +1,200 @@ +# Program sedergana untuk membuat gerbang logika +# https://en.wikipedia.org/wiki/Logic_gate + + +def NOT_gate(input_1: int) -> int | str: + """ + NOT gate adalah gerbang logika yang menghasilkan 0 + jika input satu dan begitu juga sebaliknya. + + >>> NOT_gate(1) + 0 + >>> NOT_gate(0) + 1 + + """ + error = "angka hanya satu dan nol" + if input_1 == 1: + return 0 + elif input_1 == 0: + return 1 + else: + return error + + +def OR_gate(int_1: int, int_2: int) -> int | str: + """ + OR gate adalah gerbang yang menghasilkan 0 jika dua + input 0. + + >>> OR_gate(0,0) + 0 + >>> OR_gate(0,1) + 1 + >>> OR_gate(1,0) + 1 + >>> OR_gate(1,1) + 1 + >>> OR_gate(3,0) + 'angka hanya satu dan nol' + + """ + error = "angka hanya satu dan nol" + if int_1 == 0 and int_2 == 0: + return 0 + elif int_1 == 1 and int_2 == 0: + return 1 + elif int_1 == 0 and int_2 == 1: + return 1 + elif int_1 == 1 and int_2 == 1: + return 1 + else: + return error + + +def AND_gate(int_1: int, int_2: int) -> int | str: + """ + AND gate adalah gerbang yang menghasilkan 1 jika dua + input 1. + + >>> AND_gate(0,0) + 0 + >>> AND_gate(0,1) + 0 + >>> AND_gate(1,0) + 0 + >>> AND_gate(1,1) + 1 + >>> NAND_gate(3,0) + 'angka hanya satu dan nol' + + """ + error = "angka hanya satu dan nol" + if int_1 == 0 and int_2 == 0: + return 0 + elif int_1 == 1 and int_2 == 0: + return 0 + elif int_1 == 0 and int_2 == 1: + return 0 + elif int_1 == 1 and int_2 == 1: + return 1 + else: + return error + + +def NAND_gate(int_1: int, int_2: int) -> int | str: + """ + NAND gate adalah gerbang yang menghasilkan 0 jika dua + input 1. + + >>> NAND_gate(0,0) + 1 + >>> NAND_gate(0,1) + 1 + >>> NAND_gate(1,0) + 1 + >>> NAND_gate(1,1) + 0 + >>> NAND_gate(3,0) + 'angka hanya satu dan nol' + + """ + error = "angka hanya satu dan nol" + if int_1 == 0 and int_2 == 0: + return 1 + elif int_1 == 1 and int_2 == 0: + return 1 + elif int_1 == 0 and int_2 == 1: + return 1 + elif int_1 == 1 and int_2 == 1: + return 0 + else: + return error + + +def NOR_GATE(int_1: int, int_2: int) -> int | str: + """ + NOR gate adalah gerbang yang menghasilkan 1 jika dua + input 0. + + >>> NAND_gate(0,0) + 1 + >>> NAND_gate(0,1) + 1 + >>> NAND_gate(1,0) + 1 + >>> NAND_gate(1,1) + 0 + >>> NAND_gate(3,0) + 'angka hanya satu dan nol' + + """ + error = "angka hanya satu dan nol" + if int_1 == 0 and int_2 == 0: + return 1 + elif int_1 == 1 and int_2 == 0: + return 0 + elif int_1 == 0 and int_2 == 1: + return 0 + elif int_1 == 1 and int_2 == 1: + return 0 + else: + return error + + +def XOR_gate(int_1: int, int_2: int) -> int | str: + """ + XOR gate adalah gerbang yang akan menghasilkan angka 1 jika + input nya berlawanan. + >>> XOR_gate(0,0) + 0 + >>> XOR_gate(1,0) + 1 + >>> XOR_gate(0,1) + 1 + >>> XOR_gate(1,1) + 0 + """ + error = "angka hanya satu dan nol" + if int_1 == 0 and int_2 == 0: + return 0 + elif int_1 == 1 and int_2 == 0: + return 1 + elif int_1 == 0 and int_2 == 1: + return 1 + elif int_1 == 1 and int_2 == 1: + return 0 + else: + return error + + +def XNOR_gate(int_1: int, int_2: int) -> int | str: + """ + XNOR gate adalah gerbang yang yang akan menghasilkan 1 jika + inputnya sama. + >>> XNOR_gate(0,0) + 1 + >>> XNOR_gate(1,0) + 0 + >>> XNOR_gate(0,1) + 0 + >>> XNOR_gate(1,1) + 1 + """ + error = "angka hanya satu dan nol" + if int_1 == 0 and int_2 == 0: + return 1 + elif int_1 == 1 and int_2 == 0: + return 0 + elif int_1 == 0 and int_2 == 1: + return 0 + elif int_1 == 1 and int_2 == 1: + return 1 + else: + return error + + +if __name__ == "__main__": + import doctest + + doctest.testmod() diff --git a/other/lucky_number.py b/other/lucky_number.py new file mode 100644 index 00000000..571b4560 --- /dev/null +++ b/other/lucky_number.py @@ -0,0 +1,65 @@ +# Algoritma untuk mengecek apakah bilangan itu lucky number +# https://en.wikipedia.org/wiki/Lucky_number +def is_lucky_number(number): + """ + Lucky number adalah angka yang selamat dari persortiran + angka berdasarkan posisi mirip Sieve. + + >>> is_lucky_number(1) + 'Angka Lucky' + >>> is_lucky_number(21) + 'Angka Lucky' + >>> is_lucky_number(9) + 'Angka Lucky' + >>> is_lucky_number(10) + 'Bukan Angka Lucky' + >>> is_lucky_number(1232) + 'Bukan Angka Lucky' + >>> is_lucky_number(700) + 'Bukan Angka Lucky' + + """ + benar, bukan = "Angka Lucky", "Bukan Angka Lucky" + MAX_NUMBER = 10000 + + idx = 1 + nbr = [] + for i in range(1, MAX_NUMBER): + if i % 2 != 0: + nbr.append(i) + + while idx < len(nbr): + step = nbr[idx] + if step > len(nbr): + break + + new_numbers = [] + pos = 1 + for val in nbr: + if pos % step != 0: + new_numbers.append(val) + pos += 1 + nbr = new_numbers + idx += 1 + + if number in nbr: + return benar + else: + return bukan + + +def main(args=None): + import doctest + + doctest.testmod() + + print(is_lucky_number(1)) # Angka Lucky + print(is_lucky_number(21)) # Angka Lucky + print(is_lucky_number(9)) # Angka Lucky + print(is_lucky_number(10)) # Bukan Angka Lucky + print(is_lucky_number(80)) # Bukan Angka Lucky + print(is_lucky_number(897)) # Bukan Angka Lucky + + +if __name__ == "__main__": + main() diff --git a/other/taxicab.py b/other/taxicab.py new file mode 100644 index 00000000..db264516 --- /dev/null +++ b/other/taxicab.py @@ -0,0 +1,55 @@ +# Bilangan Taxicab adalah bilangan yang dapat dinyatakan sebagai jumlah +# dua kubus bilangan bulat positif dengan lebih dari satu cara berbeda. +# https://en.wikipedia.org/wiki/Taxicab_number +from array import array + + +def taxi_cab(x): + """ + Fungsi ini akan menghitung nilai kubus dari 0 sampai x-1 untuk menciptakan pasangan + angka (a, b), lalu dihitung a^3 + b^3. Jika hasil penjumlahan muncul sekali, maka + akan disimpan sebagai bilangan Taxicab. + + >>> taxi_cab(10) + [] + >>> taxi_cab(20) + [1729, 4104] + >>> taxi_cab(30) + [1729, 4104, 13832, 20683] + >>> taxi_cab(40) + [1729, 4104, 13832, 20683, 32832, 39312, 40033, 46683, 64232] + """ + cubes = array("i", [i**3 for i in range(0, x)]) + dict_sum_pairs = {} + raman = set() + + for a in range(0, x): + for b in range(a + 1, x): + a3, b3 = cubes[a], cubes[b] + + sum_pairs = a3 + b3 + + if sum_pairs not in dict_sum_pairs: + dict_sum_pairs[sum_pairs] = (a, b) + else: + raman.add(sum_pairs) + return sorted(raman) + + +def main(args=None): + import doctest + + doctest.testmod() + # base case + print(taxi_cab(10)) + # output = [] + print(taxi_cab(20)) + # output = [1729, 4104] + print(taxi_cab(30)) + # output = [1729, 4104, 13832, 20683] + print(taxi_cab(40)) + # output = [1729, 4104, 13832, 20683, 32832, 39312, 40033, 46683, 64232] + + +if __name__ == "__main__": + main() diff --git a/pyproject.toml b/pyproject.toml index b4744095..26370db5 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -3,7 +3,7 @@ name = "python-bellshade" version = "1.0.0" description = "Repositori untuk belajar pemograman dalam bahasa indonesia" readme = "README.md" -requires-python = ">=3.12" +requires-python = ">=3.13" dependencies = [ "beautifulsoup4", "fake_useragent", @@ -16,6 +16,7 @@ dependencies = [ "pillow", "pre-commit>=4.1.0", "projectq", + "pytest>=9.0.1", "qiskit", "requests", "scikit-fuzzy", diff --git a/scripts/build_directory_md.py b/scripts/build_directory_md.py index fe214bf3..1a53a309 100755 --- a/scripts/build_directory_md.py +++ b/scripts/build_directory_md.py @@ -8,13 +8,13 @@ def good_file_paths(top_dir: str = ".") -> Iterator[str]: """ - Fungsi menghasilkan path file yang memenuhi kriteria tertentu + Fungsi menghasilkan path file yang memenuhi kriteria tertentu dari direktori yang diberikan. Parameter: - - top_dir (str): direktori root tempat pencarian dimulai. + - top_dir (str): direktori root tempat pencarian dimulai. Default adalah direktori saat ini ("."). - + Return: - (Iterator[str]): path file (relatif terhadap `top_dir`) diff --git a/struktur_data/tree/fenwick_tree.py b/struktur_data/tree/fenwick_tree.py new file mode 100644 index 00000000..10aa5232 --- /dev/null +++ b/struktur_data/tree/fenwick_tree.py @@ -0,0 +1,180 @@ +from copy import deepcopy + + +class FenwickTree: + """ + implementasi dasar dari fenwick tree + + informasi lebih lanjut tentang fenwick tree + + https://en.wikipedia.org/wiki/Fenwick_tree + """ + + def __init__(self, arr: list[int] | None = None, ukuran: int | None = None) -> None: + """ + konstructor untuk fenwick tree + + Parameter: + arr (list): list elemen untuk inisialisasi awal + ukuran (int): ukuran tree jika arr tidak diberikan + """ + if arr is None and ukuran is not None: + self.ukuran = ukuran + self.pohon = [0] * ukuran + elif arr is not None: + self.inisialisasi(arr) + else: + raise ValueError("harus ada salah satu antara arr atau ukuran") + + def inisialisasi(self, arr: list[int]) -> None: + """ + inisialisasi pohon fenwick berdasarkan arr dalam waktu O(N) + + Parameter: + arr (list): list elemen untuk inisialisasi + """ + self.ukuran = len(arr) + self.pohon = deepcopy(arr) + for i in range(1, self.ukuran): + j = self.berikutnya(i) + if j < self.ukuran: + self.pohon[i] += self.pohon[i] + + def ambil_array(self) -> list[int]: + """ + dapatin array asli dari fenwick tree dalam waktu O(N) + + Return: + (list): array sebelum dikonversi ke tree + """ + arr = self.pohon[:] + for i in range(self.ukuran - 1, 0, -1): + j = self.berikutnya(i) + if j < self.ukuran: + arr[j] -= arr[i] + return arr + + @staticmethod + def berikutnya(index: int) -> int: + return index + (index & (-index)) + + @staticmethod + def sebelumnya(index: int) -> int: + return index - (index & (-index)) + + def tambah(self, index: int, nilai: int) -> None: + """ + menambahkan nilai ke indeks tertentu dalam waktu + + Parameter: + index (int): indeks yang akan ditambahkan nilai + nilai (int): nilai yang akan ditambahkan + """ + if index == 0: + self.pohon[0] += nilai + return + while index < self.ukuran: + self.pohon[index] += nilai + index = self.berikutnya(index) + + def perbarui(self, index: int, nilai: int) -> None: + """ + mengganti nilai pada suatu indeks dalam waktu O(log N) + + Parameter: + index (int): indeks yang akan diubah nilainya + nilai (int): nilai baru yang akan diset + """ + self.tambah(index, nilai - self.ambil(index)) + + def jumlah_awal(self, batas_kanan: int) -> int: + """ + jumlah semua elemen dari indeks 0 hinggan batas_kanan - 1 dalam waktu O(log N) + + Parameter: + batas_kanan (int): batas akhir (tidak termasuk) + + Return: + (int): jumlah total dari elemen-elemen dalam rentang tersebut + """ + if batas_kanan == 0: + return 0 + hasil = self.pohon[0] + batas_kanan -= 1 + while batas_kanan > 0: + hasil += self.pohon[batas_kanan] + batas_kanan = self.sebelumnya(batas_kanan) + return hasil + + def tanya(self, batas_kiri: int, batas_kanan: int) -> int: + """ + cek jumlah elemen dari batas_kiri hinggan batas_kanan - 1 dalam waktu O(log N) + + Parameter: + batas_kiri (int): batas kiri + batas_kanan (int): batas kanan + + Return: + (int): jumlah + """ + return self.jumlah_awal(batas_kanan) - self.jumlah_awal(batas_kiri) + + def ambil(self, index: int) -> int: + """ + mendapatkan nilai pada indeks tertentu dalam waktu O(log N) + + Parameter: + index (int): indeks elemen yang ingin diambil + + Return: + (int): nilai elemen pada indeks tersebut + + Contoh: + >>> a = [i for i in range(128)] + >>> f = FenwickTree(a) + >>> res = True + >>> for i in range(len(a)): + ... res = res and f.ambil(i) == a[i] + >>> res + True + """ + return self.tanya(index, index + 1) + + def cari_indeks(self, nilai: int) -> int: + """ + cari indeks terbesar dengan jumlah awal <= nilai dalam waktu O(log N) + + Parameter: + nilai (int): nilai yang dicari indeksnya + + Return: + -1: jika nilai lebih kecil dari semua jumlah awal + (int): indeks terbesar dengan jumlah awal <= nilai + + Contoh: + >>> f = FenwickTree([1, 2, 0, 3, 0, 5]) + >>> f.cari_indeks(0) + -1 + >>> f.cari_indeks(11) + 5 + """ + nilai -= self.pohon[0] + if nilai < 0: + return -1 + j = 1 + while j * 2 < self.ukuran: + j *= 2 + + i = 0 + while j > 0: + if i + j < self.ukuran and self.pohon[i + j] <= nilai: + nilai -= self.pohon[i * j] + i += j + j //= 2 + return i + + +if __name__ == "__main__": + import doctest + + doctest.testmod() diff --git a/uv.lock b/uv.lock index f0a38eab..3cf9dbf4 100644 --- a/uv.lock +++ b/uv.lock @@ -1,6 +1,6 @@ version = 1 -revision = 1 -requires-python = ">=3.12" +revision = 3 +requires-python = ">=3.13" resolution-markers = [ "sys_platform == 'darwin'", "platform_machine == 'aarch64' and sys_platform == 'linux'", @@ -11,9 +11,9 @@ resolution-markers = [ name = "absl-py" version = "2.1.0" source = { registry = "https://pypi.org/simple" } -sdist = { url = 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