From fc377551402620ef527ffea807be98ee86782480 Mon Sep 17 00:00:00 2001 From: Vlasov Daniil Date: Wed, 28 May 2025 19:57:44 +0300 Subject: [PATCH] Added files for Lab 1-6 --- ...6\320\262 \320\224.\320\235., P3213).docx" | Bin 0 -> 117299 bytes ...76\320\262 \320\224.\320\235., P3213).pdf" | Bin 0 -> 729099 bytes .../vlasov_356550/lab1/src/gauss_method.py" | 73 +++++++ .../vlasov_356550/lab1/src/input_handler.py" | 85 ++++++++ "\320\2403213/vlasov_356550/lab1/src/main.py" | 53 +++++ .../lab1/src/numpy_comparator.py" | 12 + .../vlasov_356550/lab1/src/output_handler.py" | 10 + .../lab1/src/residuals_calculator.py" | 12 + ...6\320\262 \320\224.\320\235., P3213).docx" | Bin 0 -> 401585 bytes ...76\320\262 \320\224.\320\235., P3213).pdf" | Bin 0 -> 756832 bytes .../lab2/src/equations/__init__.py" | 0 .../src/equations/nonlinear_equations.py" | 47 ++++ .../lab2/src/equations/nonlinear_systems.py" | 27 +++ .../lab2/src/methods/__init__.py" | 0 .../lab2/src/methods/bisection.py" | 40 ++++ 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.../src/integration/integration_interface.py" | 10 + .../src/integration/rectangle_methods.py" | 65 ++++++ .../lab3/src/integration/simpson_method.py" | 22 ++ .../lab3/src/integration/trapezoid_method.py" | 19 ++ .../vlasov_356550/lab3/src/io/__init__.py" | 1 + .../lab3/src/io/input_parser.py" | 9 + "\320\2403213/vlasov_356550/lab3/src/main.py" | 56 +++++ .../lab3/src/visualization/__init__.py" | 1 + .../lab3/src/visualization/plotter.py" | 25 +++ ...6\320\262 \320\224.\320\235., P3213).docx" | Bin 0 -> 401636 bytes ...76\320\262 \320\224.\320\235., P3213).pdf" | Bin 0 -> 657542 bytes .../lab4/src/approximations/__init__.py" | 0 .../lab4/src/approximations/calculations.py" | 197 +++++++++++++++++ .../lab4/src/approximations/metrics.py" | 38 ++++ .../lab4/src/approximations/models.py" | 50 +++++ .../vlasov_356550/lab4/src/cli/__init__.py" | 0 .../vlasov_356550/lab4/src/cli/app.py" | 145 ++++++++++++ .../vlasov_356550/lab4/src/data/__init__.py" | 0 .../lab4/src/data/data_loader.py" | 37 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self.det *= -1 + diagonal_element = self.a[i][i] + + break + else: + raise ValueError("матрица вырожденная") + + # Умножаем определитель на текущий диагональный элемент + self.det *= diagonal_element + + # Устраняем элементы под диагональю в текущем столбце + for j in range(i + 1, self.n): + m = self.a[j][i] / diagonal_element # Коэффициент для обнуления элемента + + # Вручную вычитаем строку i, умноженную на m + for k in range(self.n): + self.a[j][k] -= m * self.a[i][k] + + self.b[j] -= m * self.b[i] # Преобразуем правую часть + + + def back_substitution(self): + x = [0.0] * self.n # Вектор решения + + # Идем снизу вверх по треугольной матрице + for i in range(self.n - 1, -1, -1): + + # Вычисляем сумму уже найденных неизвестных вручную + s = 0.0 + for k in range(i + 1, self.n): + s += self.a[i][k] * x[k] + + # Находим текущую неизвестную + x[i] = (self.b[i] - s) / self.a[i][i] + + return x + + + def solve(self): + self.forward_elimination() # Приводим к треугольному виду + return self.back_substitution() # Находим решение + + + def get_triangular_matrix(self): + return self.a, self.b + + + def get_determinant(self): + return self.det diff --git "a/\320\2403213/vlasov_356550/lab1/src/input_handler.py" "b/\320\2403213/vlasov_356550/lab1/src/input_handler.py" new file mode 100644 index 0000000..7ba5a10 --- /dev/null +++ "b/\320\2403213/vlasov_356550/lab1/src/input_handler.py" @@ -0,0 +1,85 @@ +import numpy as np + + +class InputHandler: + @staticmethod + def generate_random_matrix(n): + matrix_a = np.random.uniform(-10, 10, (n, n)).tolist() + vector_b = np.random.uniform(-10, 10, n).tolist() + return matrix_a, vector_b + + + @staticmethod + def _input_from_keyboard(): + try: + n = int(input("Введите размерность матрицы n (n <= 20): ")) + if n <= 0 or n > 20: + raise ValueError("Размерность должна быть от 1 до 20!") + + print("Введите матрицу A (по строкам, числа через пробел):") + + matrix_a = [] + for _ in range(n): + row = list(map(float, input().replace(',', '.').split())) + + if len(row) != n: + raise ValueError("Некорректное количество элементов в строке!") + + matrix_a.append(row) + + print("Введите вектор B (по одному числу в строке):") + vector_b = [float(input().replace(',', '.')) for _ in range(n)] + + return matrix_a, vector_b, False + except ValueError as e: + raise ValueError(f"Ошибка ввода: {e}!") + + + @staticmethod + def _input_from_file(): + print("Содержимое файла должно быть в следующем формате: первая строка - n (размерность), далее n строк матрицы A (числа через пробел), затем n строк вектора B (по одному числу).") + print("Пример:\n2\n2.0 3.0\n1.0 1.0\n5.0\n2.0") + + try: + filename = input("Введите имя файла: ") + with open(filename, 'r') as f: + n = int(f.readline().strip()) + if n <= 0 or n > 20: + raise ValueError("Размерность должна быть от 1 до 20!") + + matrix_a = [list(map(float, f.readline().replace(',', '.').split())) for _ in range(n)] + vector_b = [float(f.readline().replace(',', '.')) for _ in range(n)] + + if any(len(row) != n for row in matrix_a): + raise ValueError("Некорректное количество элементов в строке матрицы!") + + return matrix_a, vector_b, False + except FileNotFoundError: + raise ValueError("Файл не найден!") + except ValueError as e: + raise ValueError(f"Ошибка чтения файла: {e}!") + + + @staticmethod + def _input_random(): + try: + n = int(input("Введите размерность случайной матрицы n (n <= 20): ")) + if n <= 0 or n > 20: + raise ValueError("Размерность должна быть от 1 до 20!") + + matrix_a, vector_b = InputHandler.generate_random_matrix(n) + + return matrix_a, vector_b, True + except ValueError as e: + raise ValueError(f"Ошибка генерации: {e}!") + + def get_input(self): + choice = input("Выберите способ ввода (1 - клавиатура, 2 - файл, 3 - случайная матрица): ") + if choice == '1': + return self._input_from_keyboard() + elif choice == '2': + return self._input_from_file() + elif choice == '3': + return self._input_random() + else: + raise ValueError("Некорректный выбор способа ввода!") diff --git "a/\320\2403213/vlasov_356550/lab1/src/main.py" "b/\320\2403213/vlasov_356550/lab1/src/main.py" new file mode 100644 index 0000000..f09a53e --- /dev/null +++ "b/\320\2403213/vlasov_356550/lab1/src/main.py" @@ -0,0 +1,53 @@ +from gauss_method import GaussMethod +from input_handler import InputHandler +from output_handler import print_matrix, print_vector +from residuals_calculator import compute_residuals +from numpy_comparator import compare_with_numpy + + +class Application: + def __init__(self): + self.input_handler = InputHandler() + + + def run(self): + try: + # Ввод данных + matrix_a, vector_b, is_random = self.input_handler.get_input() + + if is_random: + print("\n[ СГЕНЕРИРОВАННАЯ СЛУЧАЙНАЯ МАТРИЦА ]") + print_matrix(matrix_a, "Матрица A") + print_vector(vector_b, "Вектор B") + else: + print("\n[ ВВЕДЁННЫЕ ДАННЫЕ ]") + print_matrix(matrix_a, "Матрица A") + print_vector(vector_b, "Вектор B") + + # Решение системы + gauss = GaussMethod(matrix_a, vector_b) + x = gauss.solve() + det = gauss.get_determinant() + triangular_a, triangular_b = gauss.get_triangular_matrix() + residuals = compute_residuals(matrix_a, x, vector_b) + + # Вывод результатов + print("\n[ РЕЗУЛЬТАТЫ ВЫЧИСЛЕНИЙ ]") + print_matrix(triangular_a, "Треугольная матрица A") + print_vector(triangular_b, "Преобразованный вектор B") + print_vector(x, "Вектор неизвестных x") + print(f"Определитель: {det:.6f}") + print_vector(residuals, "Вектор невязок r") + + # Сравнение с numpy + compare_with_numpy(matrix_a, vector_b) + + except ValueError as e: + print(f"Ошибка: {e}!") + except Exception as e: + print(f"Произошла непредвиденная ошибка: {e}!") + + +if __name__ == "__main__": + app = Application() + app.run() diff --git "a/\320\2403213/vlasov_356550/lab1/src/numpy_comparator.py" "b/\320\2403213/vlasov_356550/lab1/src/numpy_comparator.py" new file mode 100644 index 0000000..bcc92a3 --- /dev/null +++ "b/\320\2403213/vlasov_356550/lab1/src/numpy_comparator.py" @@ -0,0 +1,12 @@ +import numpy as np +from output_handler import print_vector + + +def compare_with_numpy(matrix_a, vector_b): + matrix_a_np = np.array(matrix_a) + vector_b_np = np.array(vector_b) + x_np = np.linalg.solve(matrix_a_np, vector_b_np) + det_np = np.linalg.det(matrix_a_np) + print("\n[ СРАВНИЕ С БИБЛИОТЕКОЙ NUMPY ]") + print_vector(x_np, "Решение с помощью numpy") + print(f"Определитель с помощью numpy: {det_np:.6f}") diff --git "a/\320\2403213/vlasov_356550/lab1/src/output_handler.py" "b/\320\2403213/vlasov_356550/lab1/src/output_handler.py" new file mode 100644 index 0000000..1d88e51 --- /dev/null +++ "b/\320\2403213/vlasov_356550/lab1/src/output_handler.py" @@ -0,0 +1,10 @@ +def print_matrix(matrix, name): + print(f"{name}:") + for row in matrix: + print(" ".join(f"{x:10.6f}" for x in row)) + + +def print_vector(vector, name): + print(f"{name}:") + for x in vector: + print(f"{x:10.6f}") diff --git "a/\320\2403213/vlasov_356550/lab1/src/residuals_calculator.py" "b/\320\2403213/vlasov_356550/lab1/src/residuals_calculator.py" new file mode 100644 index 0000000..2c453ed --- /dev/null +++ "b/\320\2403213/vlasov_356550/lab1/src/residuals_calculator.py" @@ -0,0 +1,12 @@ +def compute_residuals(a_original, x, b_original): + n = len(a_original) + r = [0.0] * n + + # Вычисляем a_original * x + for i in range(n): + for j in range(n): + r[i] += a_original[i][j] * x[j] + # Вычитаем b_original + r[i] -= b_original[i] + + return r diff --git "a/\320\2403213/vlasov_356550/lab2/reports/\320\222\321\213\321\207\320\234\320\260\321\202 \320\233\320\2402 (\320\222\320\273\320\260\321\201\320\276\320\262 \320\224.\320\235., P3213).docx" "b/\320\2403213/vlasov_356550/lab2/reports/\320\222\321\213\321\207\320\234\320\260\321\202 \320\233\320\2402 (\320\222\320\273\320\260\321\201\320\276\320\262 \320\224.\320\235., P3213).docx" new file mode 100644 index 0000000000000000000000000000000000000000..350cc9de3ed22eae27a6ab7d93fe144631cb7254 GIT binary patch literal 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