From df482e39363a01ebfdf398a695ed6c084c0aa270 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=D0=9C=D0=B0=D0=BA=D1=81=D0=B8=D0=BC?= Date: Thu, 14 Dec 2023 11:35:55 +0300 Subject: [PATCH] LabWork_1 --- README.md | 15 ++++++- image/task.jpg | Bin 0 -> 28855 bytes src/main.py | 110 +++++++++++++++++++++++++++++++++++++++++++++++++ 3 files changed, 124 insertions(+), 1 deletion(-) create mode 100644 image/task.jpg create mode 100644 src/main.py diff --git a/README.md b/README.md index 84e9b4f..9862345 100644 --- a/README.md +++ b/README.md @@ -1,2 +1,15 @@ -# PIbd-32_Kashin_M.I_Computed_Math +# Лабораторная работа №1 по ВМ +___ + +## Состав команды (ПИбд-32): + +- ### Кашин Максим +- ### Клюшенкова Ксения +- ### Жимолостнова Анна +- ### Базунов Андрей +- ### Цуканова Ирина + +## Задание: + +![Картинка задания](image/task.jpg) \ No newline at end of file diff --git a/image/task.jpg b/image/task.jpg new file mode 100644 index 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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 None + if k is not None: + result[i] = self.table[k, 0] + else: + result[i] = 0 + + return self.table + + def is_it_end(self): + return all(self.table[self.m - 1, 1:] >= 0) + + def find_main_col(self): + return np.argmin(self.table[self.m - 1, 1:]) + 1 + + 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 + +if __name__ == "__main__": + table = np.array( + [ + [45, 5, 3], + [-8, -1, 0], + [-10, 0, -1], + [0, -40, -36] + ] + ) + + result = np.zeros(2) + table_result = Simplex(table).calculate(result) + + temp = -table[-1][-2] * result[0] + -table[-1][-1] * math.ceil(result[1]) + + table_data = [] + for i in range(table_result.shape[0]): + row_data = [] + for j in range(table_result.shape[1]): + row_data.append("{0:.2f}".format(table_result[i][j])) + table_data.append(row_data) + + fig, ax = plt.subplots() + ax.axis('tight') + ax.axis('off') + table = ax.table(cellText=table_data, cellLoc='center', loc='center') + + plt.text (-0.06, 0.055, "Решение:") + plt.text (-0.05, 0.045, f"X[1] = {result[0]}") + plt.text (-0.05, 0.035, f"X[2] = {math.ceil(result[1])}") + plt.text (-0.05, 0.025, f"F(x1, x2) = {temp}") + plt.text (-0.06, 0.015, "Решенная симплекс-таблица:") + + plt.show() \ No newline at end of file