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optimize split_matrix function by removing duplicate code to the extract_submatrix function, add tests

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ivanz-thinkpad 2025-01-31 23:05:22 +03:00
parent 6c92c5a539
commit 792ee57123
3 changed files with 72 additions and 9 deletions
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20
divide_and_conquer/strassen_matrix_multiplication.py
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@ -49,18 +49,20 @@ def split_matrix(a: list) -> tuple[list, list, list, list]:
if len(a) % 2 != 0 or len(a[0]) % 2 != 0:
raise Exception("Odd matrices are not supported!")
matrix_length = len(a)
mid = matrix_length // 2
def extract_submatrix(rows, cols):
return [[a[i][j] for j in cols] for i in rows]
top_right = [[a[i][j] for j in range(mid, matrix_length)] for i in range(mid)]
bot_right = [
[a[i][j] for j in range(mid, matrix_length)] for i in range(mid, matrix_length)
]
mid = len(a) // 2
top_left = [[a[i][j] for j in range(mid)] for i in range(mid)]
bot_left = [[a[i][j] for j in range(mid)] for i in range(mid, matrix_length)]
rows_top, rows_bot = range(mid), range(mid, len(a))
cols_left, cols_right = range(mid), range(mid, len(a))
return top_left, top_right, bot_left, bot_right
return (
extract_submatrix(rows_top, cols_left), # Top-left
extract_submatrix(rows_top, cols_right), # Top-right
extract_submatrix(rows_bot, cols_left), # Bottom-left
extract_submatrix(rows_bot, cols_right), # Bottom-right
)
def matrix_dimensions(matrix: list) -> tuple[int, int]:

0
divide_and_conquer/tests/__init__.py Normal file
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61
divide_and_conquer/tests/test_strassen_matrix_multiplication.py Normal file
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@ -0,0 +1,61 @@
import unittest
from strassen_matrix_multiplication import split_matrix
class TestSplitMatrix(unittest.TestCase):
def test_4x4_matrix(self):
matrix = [
[4, 3, 2, 4],
[2, 3, 1, 1],
[6, 5, 4, 3],
[8, 4, 1, 6]
]
expected = (
[[4, 3], [2, 3]],
[[2, 4], [1, 1]],
[[6, 5], [8, 4]],
[[4, 3], [1, 6]]
)
self.assertEqual(split_matrix(matrix), expected)
def test_8x8_matrix(self):
matrix = [
[4, 3, 2, 4, 4, 3, 2, 4],
[2, 3, 1, 1, 2, 3, 1, 1],
[6, 5, 4, 3, 6, 5, 4, 3],
[8, 4, 1, 6, 8, 4, 1, 6],
[4, 3, 2, 4, 4, 3, 2, 4],
[2, 3, 1, 1, 2, 3, 1, 1],
[6, 5, 4, 3, 6, 5, 4, 3],
[8, 4, 1, 6, 8, 4, 1, 6]
]
expected = (
[[4, 3, 2, 4], [2, 3, 1, 1], [6, 5, 4, 3], [8, 4, 1, 6]],
[[4, 3, 2, 4], [2, 3, 1, 1], [6, 5, 4, 3], [8, 4, 1, 6]],
[[4, 3, 2, 4], [2, 3, 1, 1], [6, 5, 4, 3], [8, 4, 1, 6]],
[[4, 3, 2, 4], [2, 3, 1, 1], [6, 5, 4, 3], [8, 4, 1, 6]]
)
self.assertEqual(split_matrix(matrix), expected)
def test_invalid_odd_matrix(self):
matrix = [
[1, 2, 3],
[4, 5, 6],
[7, 8, 9]
]
with self.assertRaises(Exception):
split_matrix(matrix)
def test_invalid_non_square_matrix(self):
matrix = [
[1, 2, 3, 4],
[5, 6, 7, 8],
[9, 10, 11, 12]
]
with self.assertRaises(Exception):
split_matrix(matrix)
if __name__ == "__main__":
unittest.main()