Remove separate directory for gaussian_elimination_pivoting.py (TheAlgorithms#11445)

* updating DIRECTORY.md * Remove separate directory for gaussian_elimination_pivoting.py Delete the directory linear_algebra/src/gaussian_elimination_pivoting/ and move its algorithm file, gaussian_elimination_pivoting.py, into the parent src/ directory. The gaussian_elimination_pivoting/ directory only exists because gaussian_elimination_pivoting.py reads an example numpy array from matrix.txt, but this input file and IO operation is entirely unnecessary because gaussian_elimination_pivoting.py already has the exact same array hard-coded into a variable. * updating DIRECTORY.md --------- Co-authored-by: tianyizheng02 <tianyizheng02@users.noreply.github.com>

Author: tianyizheng02

DIRECTORY.md

@@ -540,8 +540,7 @@
  * [Lu Decomposition](linear_algebra/lu_decomposition.py)
  * Src
  * [Conjugate Gradient](linear_algebra/src/conjugate_gradient.py)
- * Gaussian Elimination Pivoting
- * [Gaussian Elimination Pivoting](linear_algebra/src/gaussian_elimination_pivoting/gaussian_elimination_pivoting.py)
+ * [Gaussian Elimination Pivoting](linear_algebra/src/gaussian_elimination_pivoting.py)
  * [Lib](linear_algebra/src/lib.py)
  * [Polynom For Points](linear_algebra/src/polynom_for_points.py)
  * [Power Iteration](linear_algebra/src/power_iteration.py)

linear_algebra/src/gaussian_elimination_pivoting/gaussian_elimination_pivoting.py renamed to linear_algebra/src/gaussian_elimination_pivoting.py

@@ -1,15 +1,5 @@
 import numpy as np
 
-matrix = np.array(
- [
- [5.0, -5.0, -3.0, 4.0, -11.0],
- [1.0, -4.0, 6.0, -4.0, -10.0],
- [-2.0, -5.0, 4.0, -5.0, -12.0],
- [-3.0, -3.0, 5.0, -5.0, 8.0],
- ],
- dtype=float,
-)
-
 
 def solve_linear_system(matrix: np.ndarray) -> np.ndarray:
  """
@@ -87,15 +77,18 @@ def solve_linear_system(matrix: np.ndarray) -> np.ndarray:
 
 if __name__ == "__main__":
  from doctest import testmod
- from pathlib import Path
 
  testmod()
- file_path = Path(__file__).parent / "matrix.txt"
- try:
- matrix = np.loadtxt(file_path)
- except FileNotFoundError:
- print(f"Error: {file_path} not found. Using default matrix instead.")
-
- # Example usage:
- print(f"Matrix:\n{matrix}")
- print(f"{solve_linear_system(matrix) = }")
+
+ example_matrix = np.array(
+ [
+ [5.0, -5.0, -3.0, 4.0, -11.0],
+ [1.0, -4.0, 6.0, -4.0, -10.0],
+ [-2.0, -5.0, 4.0, -5.0, -12.0],
+ [-3.0, -3.0, 5.0, -5.0, 8.0],
+ ],
+ dtype=float,
+ )
+
+ print(f"Matrix:\n{example_matrix}")
+ print(f"{solve_linear_system(example_matrix) = }")