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Upgrade to Python 3.13 (#11588)

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This commit is contained in:
Christian Clauss
2024-09-30 23:01:15 +02:00
committed by GitHub
parent a7bfa22455
commit 0177ae1cd5
35 changed files with 135 additions and 131 deletions
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32
linear_programming/simplex.py
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@ -107,8 +107,8 @@ class Tableau:
def find_pivot(self) -> tuple[Any, Any]:
"""Finds the pivot row and column.
>>> Tableau(np.array([[-2,1,0,0,0], [3,1,1,0,6], [1,2,0,1,7.]]),
... 2, 0).find_pivot()
>>> tuple(int(x) for x in Tableau(np.array([[-2,1,0,0,0], [3,1,1,0,6],
... [1,2,0,1,7.]]), 2, 0).find_pivot())
(1, 0)
"""
objective = self.objectives[-1]
@ -215,8 +215,8 @@ class Tableau:
Max: x1 + x2
ST: x1 + 3x2 <= 4
3x1 + x2 <= 4
>>> Tableau(np.array([[-1,-1,0,0,0],[1,3,1,0,4],[3,1,0,1,4.]]),
... 2, 0).run_simplex()
>>> {key: float(value) for key, value in Tableau(np.array([[-1,-1,0,0,0],
... [1,3,1,0,4],[3,1,0,1,4.]]), 2, 0).run_simplex().items()}
{'P': 2.0, 'x1': 1.0, 'x2': 1.0}
# Standard linear program with 3 variables:
@ -224,21 +224,21 @@ class Tableau:
ST: 2x1 + x2 + x3 ≤ 2
x1 + 2x2 + 3x3 ≤ 5
2x1 + 2x2 + x3 ≤ 6
>>> Tableau(np.array([
>>> {key: float(value) for key, value in Tableau(np.array([
... [-3,-1,-3,0,0,0,0],
... [2,1,1,1,0,0,2],
... [1,2,3,0,1,0,5],
... [2,2,1,0,0,1,6.]
... ]),3,0).run_simplex() # doctest: +ELLIPSIS
... ]),3,0).run_simplex().items()} # doctest: +ELLIPSIS
{'P': 5.4, 'x1': 0.199..., 'x3': 1.6}
# Optimal tableau input:
>>> Tableau(np.array([
>>> {key: float(value) for key, value in Tableau(np.array([
... [0, 0, 0.25, 0.25, 2],
... [0, 1, 0.375, -0.125, 1],
... [1, 0, -0.125, 0.375, 1]
... ]), 2, 0).run_simplex()
... ]), 2, 0).run_simplex().items()}
{'P': 2.0, 'x1': 1.0, 'x2': 1.0}
# Non-standard: >= constraints
@ -246,25 +246,25 @@ class Tableau:
ST: x1 + x2 + x3 <= 40
2x1 + x2 - x3 >= 10
- x2 + x3 >= 10
>>> Tableau(np.array([
>>> {key: float(value) for key, value in Tableau(np.array([
... [2, 0, 0, 0, -1, -1, 0, 0, 20],
... [-2, -3, -1, 0, 0, 0, 0, 0, 0],
... [1, 1, 1, 1, 0, 0, 0, 0, 40],
... [2, 1, -1, 0, -1, 0, 1, 0, 10],
... [0, -1, 1, 0, 0, -1, 0, 1, 10.]
... ]), 3, 2).run_simplex()
... ]), 3, 2).run_simplex().items()}
{'P': 70.0, 'x1': 10.0, 'x2': 10.0, 'x3': 20.0}
# Non standard: minimisation and equalities
Min: x1 + x2
ST: 2x1 + x2 = 12
6x1 + 5x2 = 40
>>> Tableau(np.array([
>>> {key: float(value) for key, value in Tableau(np.array([
... [8, 6, 0, 0, 52],
... [1, 1, 0, 0, 0],
... [2, 1, 1, 0, 12],
... [6, 5, 0, 1, 40.],
... ]), 2, 2).run_simplex()
... ]), 2, 2).run_simplex().items()}
{'P': 7.0, 'x1': 5.0, 'x2': 2.0}
@ -275,7 +275,7 @@ class Tableau:
2x1 + 4x2 <= 48
x1 + x2 >= 10
x1 >= 2
>>> Tableau(np.array([
>>> {key: float(value) for key, value in Tableau(np.array([
... [2, 1, 0, 0, 0, -1, -1, 0, 0, 12.0],
... [-8, -6, 0, 0, 0, 0, 0, 0, 0, 0.0],
... [1, 3, 1, 0, 0, 0, 0, 0, 0, 33.0],
@ -283,7 +283,7 @@ class Tableau:
... [2, 4, 0, 0, 1, 0, 0, 0, 0, 48.0],
... [1, 1, 0, 0, 0, -1, 0, 1, 0, 10.0],
... [1, 0, 0, 0, 0, 0, -1, 0, 1, 2.0]
... ]), 2, 2).run_simplex() # doctest: +ELLIPSIS
... ]), 2, 2).run_simplex().items()} # doctest: +ELLIPSIS
{'P': 132.0, 'x1': 12.000... 'x2': 5.999...}
"""
# Stop simplex algorithm from cycling.
@ -307,11 +307,11 @@ class Tableau:
def interpret_tableau(self) -> dict[str, float]:
"""Given the final tableau, add the corresponding values of the basic
decision variables to the `output_dict`
>>> Tableau(np.array([
>>> {key: float(value) for key, value in Tableau(np.array([
... [0,0,0.875,0.375,5],
... [0,1,0.375,-0.125,1],
... [1,0,-0.125,0.375,1]
... ]),2, 0).interpret_tableau()
... ]),2, 0).interpret_tableau().items()}
{'P': 5.0, 'x1': 1.0, 'x2': 1.0}
"""
# P = RHS of final tableau