diff --git a/Simplex.py b/Simplex.py new file mode 100644 index 0000000..8757301 --- /dev/null +++ b/Simplex.py @@ -0,0 +1,73 @@ +import numpy as np + +class Simplex: + def __init__(self, source): + m, n = source.shape + self.table = np.zeros((m, n + m - 1)) + self.basis = [] + + for i in range(m): + for j in range(self.table.shape[1]): + if j < n: + self.table[i, j] = source[i, j] + else: + self.table[i, j] = 0 + + if (n + i) < self.table.shape[1]: + self.table[i, n + i] = 1 + self.basis.append(n + i) + + self.m = m + self.n = self.table.shape[1] + + def calculate(self, result): + while not self.is_it_end(): + main_col = self.find_main_col() + main_row = self.find_main_row(main_col) + self.basis[main_row] = main_col + + new_table = np.zeros((self.m, self.n)) + + for j in range(self.n): + new_table[main_row, j] = self.table[main_row, j] / self.table[main_row, main_col] + + for i in range(self.m): + if i == main_row: + continue + + for j in range(self.n): + new_table[i, j] = self.table[i, j] - self.table[i, main_col] * new_table[main_row, j] + + self.table = new_table + + for i in range(len(result)): + k = self.basis.index(i + 1) if i + 1 in self.basis else -1 + result[i] = self.table[k, 0] if k != -1 else 0 + + return self.table + + def is_it_end(self): + return np.all(self.table[self.m - 1, 1:] >= 0) + + def find_main_col(self): + main_col = 1 + + for j in range(2, self.n): + if self.table[self.m - 1, j] < self.table[self.m - 1, main_col]: + main_col = j + + return main_col + + def find_main_row(self, main_col): + main_row = 0 + + for i in range(self.m - 1): + if self.table[i, main_col] > 0: + main_row = i + break + + for i in range(main_row + 1, self.m - 1): + if self.table[i, main_col] > 0 and (self.table[i, 0] / self.table[i, main_col]) < (self.table[main_row, 0] / self.table[main_row, main_col]): + main_row = i + + return main_row \ No newline at end of file diff --git a/main.py b/main.py index 5596b44..b33e5db 100644 --- a/main.py +++ b/main.py @@ -1,16 +1,24 @@ -# This is a sample Python script. +import numpy as np -# Press Shift+F10 to execute it or replace it with your code. -# Press Double Shift to search everywhere for classes, files, tool windows, actions, and settings. +from Simplex import Simplex +table = np.array([[25, -3, 5], + [30, -2, 5], + [10, 1, 0], + [6, 3, -8], + [0, -6, -5]]) -def print_hi(name): - # Use a breakpoint in the code line below to debug your script. - print(f'Hi, {name}') # Press Ctrl+F8 to toggle the breakpoint. +result = np.zeros(2) +S = Simplex(table) +table_result = S.calculate(result) +print("Решенная симплекс-таблица:") +for i in range(table_result.shape[0]): + for j in range(table_result.shape[1]): + print(table_result[i, j], end=" ") + print() -# Press the green button in the gutter to run the script. -if __name__ == '__main__': - print_hi('PyCharm') - -# See PyCharm help at https://www.jetbrains.com/help/pycharm/ +print() +print("Решение:") +print("X[1] =", result[0]) +print("X[2] =", result[1]) \ No newline at end of file