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Reduce the complexity of linear_algebra/src/polynom_for_points.py (#7948)
* updating DIRECTORY.md
* updating DIRECTORY.md
* updating DIRECTORY.md
* Lower the --max-complexity threshold in the file .flake8
* Reduce the complexity of linear_algebra/src/polynom_for_points.py
* Update linear_algebra/src/polynom_for_points.py
Co-authored-by: Christian Clauss <cclauss@me.com>
* Update linear_algebra/src/polynom_for_points.py
Co-authored-by: Christian Clauss <cclauss@me.com>
* Fix
Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
Co-authored-by: Christian Clauss <cclauss@me.com>
This commit is contained in:
Maxim Smolskiy
GitHub
parent
45b3383c39
commit
db5215f60e
2
.flake8
2
.flake8
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@ -1,7 +1,7 @@
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[flake8]
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max-line-length = 88
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# max-complexity should be 10
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max-complexity = 23
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max-complexity = 21
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extend-ignore =
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# Formatting style for `black`
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E203 # Whitespace before ':'
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@ -24,96 +24,79 @@ def points_to_polynomial(coordinates: list[list[int]]) -> str:
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>>> print(points_to_polynomial([[1, 5], [2, 2], [3, 9]]))
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f(x)=x^2*5.0+x^1*-18.0+x^0*18.0
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"""
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try:
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check = 1
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more_check = 0
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d = coordinates[0][0]
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for j in range(len(coordinates)):
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if j == 0:
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continue
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if d == coordinates[j][0]:
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more_check += 1
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solved = "x=" + str(coordinates[j][0])
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if more_check == len(coordinates) - 1:
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check = 2
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break
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elif more_check > 0 and more_check != len(coordinates) - 1:
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check = 3
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else:
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check = 1
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if len(coordinates) == 0 or not all(len(pair) == 2 for pair in coordinates):
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return "The program cannot work out a fitting polynomial."
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if len(coordinates) == 1 and coordinates[0][0] == 0:
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check = 2
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solved = "x=0"
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except Exception:
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check = 3
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if len({tuple(pair) for pair in coordinates}) != len(coordinates):
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return "The program cannot work out a fitting polynomial."
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set_x = {x for x, _ in coordinates}
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if len(set_x) == 1:
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return f"x={coordinates[0][0]}"
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if len(set_x) != len(coordinates):
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return "The program cannot work out a fitting polynomial."
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x = len(coordinates)
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if check == 1:
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count_of_line = 0
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matrix: list[list[float]] = []
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# put the x and x to the power values in a matrix
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while count_of_line < x:
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count_in_line = 0
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a = coordinates[count_of_line][0]
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count_line: list[float] = []
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while count_in_line < x:
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count_line.append(a ** (x - (count_in_line + 1)))
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count_in_line += 1
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matrix.append(count_line)
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count_of_line += 1
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count_of_line = 0
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matrix: list[list[float]] = []
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# put the x and x to the power values in a matrix
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while count_of_line < x:
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count_in_line = 0
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a = coordinates[count_of_line][0]
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count_line: list[float] = []
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while count_in_line < x:
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count_line.append(a ** (x - (count_in_line + 1)))
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count_in_line += 1
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matrix.append(count_line)
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count_of_line += 1
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count_of_line = 0
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# put the y values into a vector
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vector: list[float] = []
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while count_of_line < x:
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vector.append(coordinates[count_of_line][1])
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count_of_line += 1
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count_of_line = 0
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# put the y values into a vector
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vector: list[float] = []
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while count_of_line < x:
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vector.append(coordinates[count_of_line][1])
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count_of_line += 1
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count = 0
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count = 0
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while count < x:
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zahlen = 0
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while zahlen < x:
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if count == zahlen:
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zahlen += 1
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if zahlen == x:
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break
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bruch = matrix[zahlen][count] / matrix[count][count]
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for counting_columns, item in enumerate(matrix[count]):
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# manipulating all the values in the matrix
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matrix[zahlen][counting_columns] -= item * bruch
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# manipulating the values in the vector
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vector[zahlen] -= vector[count] * bruch
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while count < x:
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zahlen = 0
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while zahlen < x:
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if count == zahlen:
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zahlen += 1
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count += 1
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if zahlen == x:
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break
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bruch = matrix[zahlen][count] / matrix[count][count]
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for counting_columns, item in enumerate(matrix[count]):
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# manipulating all the values in the matrix
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matrix[zahlen][counting_columns] -= item * bruch
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# manipulating the values in the vector
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vector[zahlen] -= vector[count] * bruch
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zahlen += 1
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count += 1
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count = 0
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# make solutions
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solution: list[str] = []
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while count < x:
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solution.append(str(vector[count] / matrix[count][count]))
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count += 1
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count = 0
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# make solutions
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solution: list[str] = []
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while count < x:
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solution.append(str(vector[count] / matrix[count][count]))
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count += 1
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count = 0
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solved = "f(x)="
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count = 0
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solved = "f(x)="
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while count < x:
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remove_e: list[str] = solution[count].split("E")
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if len(remove_e) > 1:
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solution[count] = remove_e[0] + "*10^" + remove_e[1]
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solved += "x^" + str(x - (count + 1)) + "*" + str(solution[count])
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if count + 1 != x:
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solved += "+"
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count += 1
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while count < x:
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remove_e: list[str] = solution[count].split("E")
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if len(remove_e) > 1:
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solution[count] = f"{remove_e[0]}*10^{remove_e[1]}"
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solved += f"x^{x - (count + 1)}*{solution[count]}"
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if count + 1 != x:
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solved += "+"
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count += 1
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return solved
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elif check == 2:
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return solved
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else:
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return "The program cannot work out a fitting polynomial."
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return solved
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if __name__ == "__main__":
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