From 70b1f503f80b823493038dae94d081246a8a3356 Mon Sep 17 00:00:00 2001 From: Luhter1 Date: Wed, 26 Feb 2025 21:58:59 +0300 Subject: [PATCH 01/10] lab1 --- .../kaparulin_408737/lab1/Comp_math_1.pdf" | Bin 0 -> 167138 bytes .../kaparulin_408737/lab1/SysOfLinEq.py" | 157 ++++++++++++++++++ "\320\2403208/kaparulin_408737/lab1/main.py" | 13 ++ .../kaparulin_408737/lab1/rand_gen.py" | 26 +++ 4 files changed, 196 insertions(+) create mode 100644 "\320\2403208/kaparulin_408737/lab1/Comp_math_1.pdf" create mode 100644 "\320\2403208/kaparulin_408737/lab1/SysOfLinEq.py" create mode 100644 "\320\2403208/kaparulin_408737/lab1/main.py" create mode 100644 "\320\2403208/kaparulin_408737/lab1/rand_gen.py" diff --git "a/\320\2403208/kaparulin_408737/lab1/Comp_math_1.pdf" "b/\320\2403208/kaparulin_408737/lab1/Comp_math_1.pdf" new file mode 100644 index 0000000000000000000000000000000000000000..49c16ec373ebc2541f22e60554fb0adf78594e56 GIT binary patch literal 167138 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+ + self.solution = self.solution[:-1] + self.variance = self.variance[:-1] + + # создание матрицы коэфициентов + def __create_coeff_matrix(self): + self.KMatrix = np.empty((self.dims, self.dims+1)) + + for line in range(self.dims): + self.KMatrix[line] = np.concat(( -self.matrix[line], [self.answ[line]])) + self.KMatrix[line] /= self.matrix[line][line] + self.KMatrix[line, line] = 0 + + + # выполняется ли условие сходимости + def __is_solvable(self): + # проверка, что вообще есть число большее суммы остальных в строке + if self.__is_not_diagonally_dominant(np.abs(self.matrix)): + return False + + # попытка поставить на диагональ максимальные числа + for line in range(self.dims): + sorted_indices = np.argsort(self.matrix[line:][:, line])[::-1] + self.matrix[line:] = self.matrix[line:][sorted_indices] + + if self.__is_diagonally_dominant(np.abs(self.matrix)): + return True + + # можно переставновками проверить, но это дольше + # чем две верхних проверки + for perm in permutations(range(self.dims)): + permuted_matrix = self.matrix[list(perm), :] + + if self.__is_diagonally_dominant(np.abs(permuted_matrix)): + self.matrix = permuted_matrix + return True + + return False + + # проверка условия преобладания диагональных элементов + def __is_not_diagonally_dominant(self, matrix): + return np.any( (np.sum(matrix, axis=1) - 2*np.max(matrix, axis=1)) > 0 ) + + # проверка условия преобладания диагональных элементов + def __is_diagonally_dominant(self, matrix): + one_strict = False + diagonally_dominant = np.sum(matrix, axis=1) - 2*np.diag(matrix) + + if np.any(diagonally_dominant > 0): + return False + + if np.any(diagonally_dominant < 0): + one_strict = True + + return True & one_strict + + + def __is_epsilon_correct(self): + if self.epsilon < 0: + raise ValueError("e must be positive") + + # ввод всех параметров + def __input_params(self): + + print("Input n: ", end="") + self.dims = self.__get_param("n", int, input) + print("Input e: ", end="") + self.epsilon = self.__get_param("e", float, input) + + self.matrix = np.empty((self.dims, self.dims)) + + print("\nInput matrix:") + + for line_cnt in range(self.dims): + line_input = input().split() + self.answ.append(line_input[-1]) + line = np.array(list(map(float, line_input[:-1])), dtype=np.float64) + assert line.shape == (self.dims,), "Incorrect line shape" + self.matrix[line_cnt] = line + + print() + + # чтение всех параметов из файла + def __read_params(self, file_name): + with open(file_name) as f: + + self.dims = self.__get_param("n", int, f.readline) + self.epsilon = self.__get_param("e", float, f.readline) + + + self.matrix = np.empty((self.dims, self.dims)) + + for line_cnt in range(self.dims): + line_file = f.readline().split() + self.answ.append(line_file[-1]) + line = np.array(list(map(float, line_file[:-1])), dtype=np.float64) + assert line.shape == (self.dims,), "Incorrect line shape" + self.matrix[line_cnt] = line + + self.answ = np.array(self.answ, dtype=np.float64) + + # получение 1 параметра + def __get_param(self, name, type, func): + try: + return type(func()) + except: + raise ValueError(f"Incorrect {name}") \ No newline at end of file diff --git "a/\320\2403208/kaparulin_408737/lab1/main.py" "b/\320\2403208/kaparulin_408737/lab1/main.py" new file mode 100644 index 0000000..e347254 --- /dev/null +++ "b/\320\2403208/kaparulin_408737/lab1/main.py" @@ -0,0 +1,13 @@ +from SysOfLinEq import SysOfLinEq + + + + + +if __name__ == "__main__": + sle = SysOfLinEq("pars.txt") # pars.txt + + print("Решение: ", sle.get_solution()) + print("Норма матрицы: ", sle.get_matrix_norm()) + print("Кол-во итераций: ", sle.get_iteration_count()) + print("Вектор погрешностей: ", sle.get_variance()) diff --git "a/\320\2403208/kaparulin_408737/lab1/rand_gen.py" "b/\320\2403208/kaparulin_408737/lab1/rand_gen.py" new file mode 100644 index 0000000..b1ee5d2 --- /dev/null +++ "b/\320\2403208/kaparulin_408737/lab1/rand_gen.py" @@ -0,0 +1,26 @@ +import random + +import numpy as np + +n = int(input("Input n: ")) +e = float(input("Input e: ")) + +with open("pars.txt", "w") as f: + f.write(str(n) + "\n") + f.write(str(e) + "\n") + + lines = [] + diag = list(range(n)) + + for _ in range(n): + random_number = random.choice(diag) + + diag.remove(random_number) + + line = np.random.randint(0, 10, n+1) + + lines.append(" ".join(map(str, line)) + "\n") + + + f.writelines(lines) + From ed61727cb387c401eb8285a747adbed97ff1165b Mon Sep 17 00:00:00 2001 From: Luhter1 Date: Wed, 26 Mar 2025 20:34:41 +0300 Subject: [PATCH 02/10] lab2 --- .../kaparulin_408737/lab2/README.md" | 2 + .../kaparulin_408737/lab2/System_graph.png" | Bin 0 -> 33074 bytes "\320\2403208/kaparulin_408737/lab2/main.py" | 3 + .../kaparulin_408737/lab2/non_lin_eq/Main.py" | 109 ++ .../lab2/non_lin_eq/PolDel.py" | 107 ++ .../lab2/non_lin_eq/Secant.py" | 112 ++ .../lab2/non_lin_eq/SimpleIter.py" | 118 ++ .../lab2/non_lin_eq/__init__.py" | 3 + .../__pycache__/Main.cpython-312.pyc" | Bin 0 -> 5412 bytes .../__pycache__/PolDel.cpython-312.pyc" | Bin 0 -> 5743 bytes .../__pycache__/Secant.cpython-312.pyc" | Bin 0 -> 5957 bytes .../__pycache__/SimpleIter.cpython-312.pyc" | Bin 0 -> 6951 bytes .../__pycache__/__init__.cpython-312.pyc" | Bin 0 -> 253 bytes .../kaparulin_408737/lab2/poetry.lock" | 1244 +++++++++++++++++ .../kaparulin_408737/lab2/pyproject.toml" | 21 + .../lab2/sys_non_lin_eq/Newton.py" | 117 ++ .../kaparulin_408737/lab2/test.ipynb" | 64 + "\320\2403208/kaparulin_408737/lab2/test.txt" | 3 + 18 files changed, 1903 insertions(+) create mode 100644 "\320\2403208/kaparulin_408737/lab2/System_graph.png" create mode 100644 "\320\2403208/kaparulin_408737/lab2/main.py" create mode 100644 "\320\2403208/kaparulin_408737/lab2/non_lin_eq/Main.py" create mode 100644 "\320\2403208/kaparulin_408737/lab2/non_lin_eq/PolDel.py" create mode 100644 "\320\2403208/kaparulin_408737/lab2/non_lin_eq/Secant.py" create mode 100644 "\320\2403208/kaparulin_408737/lab2/non_lin_eq/SimpleIter.py" create mode 100644 "\320\2403208/kaparulin_408737/lab2/non_lin_eq/__init__.py" create mode 100644 "\320\2403208/kaparulin_408737/lab2/non_lin_eq/__pycache__/Main.cpython-312.pyc" create mode 100644 "\320\2403208/kaparulin_408737/lab2/non_lin_eq/__pycache__/PolDel.cpython-312.pyc" create mode 100644 "\320\2403208/kaparulin_408737/lab2/non_lin_eq/__pycache__/Secant.cpython-312.pyc" create mode 100644 "\320\2403208/kaparulin_408737/lab2/non_lin_eq/__pycache__/SimpleIter.cpython-312.pyc" create mode 100644 "\320\2403208/kaparulin_408737/lab2/non_lin_eq/__pycache__/__init__.cpython-312.pyc" create mode 100644 "\320\2403208/kaparulin_408737/lab2/poetry.lock" create mode 100644 "\320\2403208/kaparulin_408737/lab2/pyproject.toml" create mode 100644 "\320\2403208/kaparulin_408737/lab2/sys_non_lin_eq/Newton.py" create mode 100644 "\320\2403208/kaparulin_408737/lab2/test.ipynb" create mode 100644 "\320\2403208/kaparulin_408737/lab2/test.txt" diff --git "a/\320\2403208/kaparulin_408737/lab2/README.md" 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zp4nfiIu3nY{ZN2>p33dWxSx8dlx|H5QNH#|Yvk0OYE83Ux?`+uXc#*&m^*YH@12EH zSRxJ^+j{XnNQ^36ypEV$cHacm2cBNu|f5990mR;%BjdE9o2LHHy`$w&Hw-a literal 0 HcmV?d00001 diff --git "a/\320\2403208/kaparulin_408737/lab2/main.py" "b/\320\2403208/kaparulin_408737/lab2/main.py" new file mode 100644 index 0000000..1beda2c --- /dev/null +++ "b/\320\2403208/kaparulin_408737/lab2/main.py" @@ -0,0 +1,3 @@ +from non_lin_eq import Lin_Eq + +Lin_Eq() \ No newline at end of file diff --git "a/\320\2403208/kaparulin_408737/lab2/non_lin_eq/Main.py" "b/\320\2403208/kaparulin_408737/lab2/non_lin_eq/Main.py" new file mode 100644 index 0000000..2cdaab0 --- /dev/null +++ "b/\320\2403208/kaparulin_408737/lab2/non_lin_eq/Main.py" @@ -0,0 +1,109 @@ +from .PolDel import PolDel +from .Secant import Secant +from .SimpleIter import SimpleIter + +from numpy import sin, cos +import numpy as np +import matplotlib.pyplot as plt + +f = [ + [ + lambda x: 2*x**3 + 3.41*x**2 - 23.74*x + 2.95, + lambda x: 6*x**2 + 6.82*x - 23.74, + lambda x: 12*x + 6.82 + ], + + [ + lambda x: sin(x) + cos(x), + lambda x: cos(x) - sin(x), + lambda x: -sin(x) - cos(x) + ], + + [ + lambda x: x**2 + 1, + lambda x: 2*x, + lambda x: 2 + ], + + [ + lambda x: x + cos(x-1) - 0.7, + lambda x: 1 - sin(x-1), + lambda x: - cos(x-1) + ], +] + +method = [ + PolDel, + Secant, + SimpleIter +] + +class Main: + def __init__(self): + eq_nmb = 0 + + while(eq_nmb not in [1, 2, 3, 4]): + print("[1] f(x) = 2*x**3 + 3.41*x**2 - 23.74*x + 2.95") + print("[2] f(x) = sin(x) + cos(x)") + print("[3] f(x) = x**2 + 1") + print("[4] f(x) = x + cos(x-1) - 0.7") + print("Введите номер уравнения: ", end="") + eq_nmb = self.__get_param("equation number", int, input) + print() + + print("Введите путь до данных(\"\" - ввод в терминале): ", end="") + file = self.__get_param("file name", str, input) + + + method_nmb = 0 + + while(method_nmb not in [1, 2, 3]): + print() + print("[1] Метод половинного деления") + print("[2] Метод секущих") + print("[3] Метод простой итерации") + print("Введите номер метода решения уравнения: ", end="") + method_nmb = self.__get_param("method name", int, input) + + print() + print("Результаты в файл?(\"\" - нет, file_path - да): ", end="") + res_file = self.__get_param("result file name", str, input) + print() + + x, f_x, iter_cnt, interval = method[method_nmb-1](f[eq_nmb-1], file).get_answer() + + if res_file == "": + print("x: ", x) + print("f(x): ", f_x) + print("Number of iteration: ", iter_cnt) + else: + resf = open(res_file, 'w') + + print("x: ", x, file=resf) + print("f(x): ", f_x, file=resf) + print("Number of iteration: ", iter_cnt, file=resf) + + resf.close() + + x_plot = np.linspace(interval[0], interval[1], 500) + y_plot = f[eq_nmb-1][0](x_plot) + + plt.title('График нелинейной функции') + plt.plot(x_plot, y_plot) + plt.xlabel('x') + plt.ylabel('y') + plt.grid(1) + plt.savefig("Non_lin_equ.png") + + + # получение 1 параметра + def __get_param(self, name, type, func): + try: + return type(func()) + except: + print(f"Incorrect {name}") + exit() + + +if __name__ == "__main__": + Main() \ No newline at end of file diff --git "a/\320\2403208/kaparulin_408737/lab2/non_lin_eq/PolDel.py" "b/\320\2403208/kaparulin_408737/lab2/non_lin_eq/PolDel.py" new file mode 100644 index 0000000..5e69da6 --- /dev/null +++ "b/\320\2403208/kaparulin_408737/lab2/non_lin_eq/PolDel.py" @@ -0,0 +1,107 @@ +import numpy as np + +class PolDel: + interval=np.array([0,0], dtype=float) + e=0.01 + + def __init__(self, funcs, file_name=''): + + if not file_name: + self.__input_params() + else: + self.__read_params(file_name) + + self.__is_correct(self.interval, self.e) + + self.__root_check(funcs[0], funcs[1], self.interval) + + self.__solution(funcs[0]) + + def get_answer(self): + return (self.solution, self.f_x, self.cnt, self.interval) + + + def __solution(self, f): + interval = self.interval.copy() + diff = float('inf') + self.cnt = 0 + + while(diff > self.e): + interval = self.__iter(f, interval) + diff = interval[1] - interval[0] + self.cnt+=1 + + self.solution = (interval[1] + interval[0])/2 + self.f_x = f(self.solution) + + + def __iter(self, f, interval): + x = (interval[1] + interval[0])/2 + + if(f(x)*f(interval[1])<0): + interval[0] = x + elif(f(x)*f(interval[1])>0): + interval[1] = x + else: + interval[0] = x + interval[1] = x + + return interval + + + def __root_check(self, f, fp, interval): + if(f(interval[0]) * f(interval[1]) > 0): + print(f"Ошибка: на данном интервале нет корней, либо их несколько") + exit() + + else: + linspace = np.linspace(interval[0], interval[1], num=500) + fp_linspace = fp(linspace) + + if not (np.all(fp_linspace[:-1] <= fp_linspace[1:]) or np.all(fp_linspace[:-1] >= fp_linspace[1:])): + print(f"Предупреждение: на данном интервале может быть несколько корней") + + + def __is_correct(self, interval, e): + if interval[0] >= interval[1]: + print(f"Ошибка: некорректный интервал - {interval}") + exit() + + if e >= 1 or e < 0: + print(f"Ошибка: некорректное значение e - {e}") + exit() + + + # ввод всех параметров + def __input_params(self): + + print("Input a: ", end="") + self.interval[0] = self.__get_param("a", float, input) + + print("Input b: ", end="") + self.interval[1] = self.__get_param("b", float, input) + + print("Input e: ", end="") + self.e = self.__get_param("e", float, input) + + print() + + # чтение всех параметов из файла + def __read_params(self, file_name): + try: + with open(file_name) as file: + + self.interval[0] = self.__get_param("a", float, file.readline) + self.interval[1] = self.__get_param("b", float, file.readline) + self.e = self.__get_param("e", float, file.readline) + except: + print(f"Incorrect file name: {file_name}") + exit() + + # получение 1 параметра + def __get_param(self, name, type, func): + try: + return type(func()) + except: + print(f"Incorrect {name}") + exit() \ No newline at end of file diff --git "a/\320\2403208/kaparulin_408737/lab2/non_lin_eq/Secant.py" "b/\320\2403208/kaparulin_408737/lab2/non_lin_eq/Secant.py" new file mode 100644 index 0000000..139a833 --- /dev/null +++ "b/\320\2403208/kaparulin_408737/lab2/non_lin_eq/Secant.py" @@ -0,0 +1,112 @@ +import numpy as np + +class Secant: + interval = np.array([0,0], dtype=float) + x0 = 0 + e = 0.01 + + def __init__(self, funcs, file_name=''): + + if not file_name: + self.__input_params() + else: + self.__read_params(file_name) + + self.__is_correct(self.interval, self.e) + + self.__root_check(funcs[0], funcs[1], self.interval) + + self.__find_x0(funcs[0], funcs[2], self.interval) + + self.__solution(funcs[0]) + + + def get_answer(self): + return (self.solution, self.f_x, self.cnt, self.interval) + + + def __solution(self, f): + diff = float('inf') + x_p = self.x0 + x = x_p + self.e + self.cnt = 0 + + while(diff > self.e): + x_n = self.__iter(f, x_p, x) + self.cnt+=1 + x_p = x + x = x_n + diff = abs(x - x_p) + + self.solution = x + self.f_x = f(self.solution) + + + def __iter(self, f, x_p, x): + return x - (x - x_p)/(f(x) - f(x_p))*f(x) + + + def __find_x0(self, f, fpp, interval): + if f(interval[0])*fpp(interval[0]) > 0: + self.x0 = interval[0] + else: + self.x0 = interval[1] + + + def __root_check(self, f, fp, interval): + if(f(interval[0]) * f(interval[1]) > 0): + print(f"Ошибка: на данном интервале нет корней, либо их несколько") + exit() + + else: + linspace = np.linspace(interval[0], interval[1], num=500) + fp_linspace = fp(linspace) + + if not (np.all(fp_linspace[:-1] <= fp_linspace[1:]) or np.all(fp_linspace[:-1] >= fp_linspace[1:])): + print(f"Предупреждение: на данном интервале может быть несколько корней") + + + + def __is_correct(self, interval, e): + if interval[0] >= interval[1]: + print(f"Ошибка: некорректный интервал - {interval}") + exit() + + if e >= 1 or e < 0: + print(f"Ошибка: некорректное значение e - {e}") + exit() + + + # ввод всех параметров + def __input_params(self): + + print("Input a: ", end="") + self.interval[0] = self.__get_param("a", float, input) + + print("Input b: ", end="") + self.interval[1] = self.__get_param("b", float, input) + + print("Input e: ", end="") + self.e = self.__get_param("e", float, input) + + print() + + # чтение всех параметов из файла + def __read_params(self, file_name): + try: + with open(file_name) as file: + + self.interval[0] = self.__get_param("a", float, file.readline) + self.interval[1] = self.__get_param("b", float, file.readline) + self.e = self.__get_param("e", float, file.readline) + except: + print(f"Incorrect file name: {file_name}") + exit() + + # получение 1 параметра + def __get_param(self, name, type, func): + try: + return type(func()) + except: + print(f"Incorrect {name}") + exit() \ No newline at end of file diff --git "a/\320\2403208/kaparulin_408737/lab2/non_lin_eq/SimpleIter.py" "b/\320\2403208/kaparulin_408737/lab2/non_lin_eq/SimpleIter.py" new file mode 100644 index 0000000..020127c --- /dev/null +++ "b/\320\2403208/kaparulin_408737/lab2/non_lin_eq/SimpleIter.py" @@ -0,0 +1,118 @@ +import numpy as np + +class SimpleIter: + interval = np.array([0,0], dtype=float) + x0 = 0 + e = 0.01 + + def __init__(self, funcs, file_name=''): + + if not file_name: + self.__input_params() + else: + self.__read_params(file_name) + + self.__is_correct(self.interval, self.e) + + self.__root_check(funcs[0], funcs[1], self.interval) + + self.__find_x0_and_lambda(funcs[1], self.interval) + + self.__is_algorithm_convergence(funcs[1]) + + self.__solution(funcs[0]) + + + def get_answer(self): + return (self.solution, self.f_x, self.cnt, self.interval) + + + def __solution(self, f): + diff = float('inf') + x = self.x0 + self.cnt = 0 + + while(diff > self.e): + x_n = self.__phi(f, x) + self.cnt+=1 + diff = abs(x - x_n) + x = x_n + + self.solution = x + self.f_x = f(self.solution) + + + def __phi(self, f, x): + return x + self.Lambda * f(x) + + def __is_algorithm_convergence(self, fp): + if 1 + self.Lambda * fp(self.x0) >= 1: + print(f"Ошибка: условие сходимости не выполнено на данном интервале") + exit() + + + def __find_x0_and_lambda(self, fp, interval): + if abs(fp(interval[0])) > abs(fp(interval[1])): + self.Lambda = -1/abs(fp(interval[0])) if fp(interval[0]) > 0 else 1/abs(fp(interval[0])) + self.x0 = interval[0] + else: + self.Lambda = -1/abs(fp(interval[1])) if fp(interval[1]) > 0 else 1/abs(fp(interval[1])) + self.x0 = interval[1] + + + def __root_check(self, f, fp, interval): + if(f(interval[0]) * f(interval[1]) > 0): + print(f"Ошибка: на данном интервале нет корней, либо их несколько") + exit() + + else: + linspace = np.linspace(interval[0], interval[1], num=500) + fp_linspace = fp(linspace) + + if not (np.all(fp_linspace[:-1] <= fp_linspace[1:]) or np.all(fp_linspace[:-1] >= fp_linspace[1:])): + print(f"Предупреждение: на данном интервале может быть несколько корней") + + + def __is_correct(self, interval, e): + if interval[0] >= interval[1]: + print(f"Ошибка: некорректный интервал - {interval}") + exit() + + if e >= 1 or e < 0: + print(f"Ошибка: некорректное значение e - {e}") + exit() + + + # ввод всех параметров + def __input_params(self): + + print("Input a: ", end="") + self.interval[0] = self.__get_param("a", float, input) + + print("Input b: ", end="") + self.interval[1] = self.__get_param("b", float, input) + + print("Input e: ", end="") + self.e = self.__get_param("e", float, input) + + print() + + # чтение всех параметов из файла + def __read_params(self, file_name): + try: + with open(file_name) as file: + + self.interval[0] = self.__get_param("a", float, file.readline) + self.interval[1] = self.__get_param("b", float, file.readline) + self.e = self.__get_param("e", float, file.readline) + except: + print(f"Incorrect file name: {file_name}") + exit() + + # получение 1 параметра + def __get_param(self, name, type, func): + try: + return type(func()) + except: + print(f"Incorrect {name}") + exit() \ No newline at end of file diff --git "a/\320\2403208/kaparulin_408737/lab2/non_lin_eq/__init__.py" 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"b/\320\2403208/kaparulin_408737/lab2/sys_non_lin_eq/Newton.py" @@ -0,0 +1,117 @@ +import numpy as np +import matplotlib.pyplot as plt +from sympy import Matrix + +sys = [ + + [ + [lambda x, y: x + y, lambda x, y: -3*x + 5*y], + [ + [lambda x, y: 1, lambda x, y: 1], + [lambda x, y: -3, lambda x, y: 5] + ] + ], + + [ + [lambda x, y: x**2 + y**2 - 4, lambda x, y: -3*x**2 + y], + [ + [lambda x, y: 2*x, lambda x, y: 2*y], + [lambda x, y: -6*x, lambda x, y: 1] + ] + ], + +] + +class Newton: + def __init__(self, system): + + self.__plot(system[0]) + self.__input_params() + self.__solution(system) + + def __solution(self, system): + f = system[0][0] + g = system[0][1] + dfdx = system[1][0][0] + dfdy = system[1][0][1] + dgdx = system[1][1][0] + dgdy = system[1][1][1] + + def matrix(x, y): + return Matrix([ + [dfdx(x, y), dfdy(x, y)], + [dgdx(x, y), dgdy(x, y)] + ]), Matrix([g(x,y), f(x,y)]) + + + + + diff = float('inf') + cnt = 0 + x = self.x0 + y = self.y0 + + while(diff > self.e): + cnt += 1 + M, ans = matrix(x, y) + + res = M.solve_least_squares(ans) + dx = res[0] + dy = res[1] + + x = x + dx + y = y + dy + + diff = min(abs(dx), abs(dy)) + + print("x1, x2: ", x, y) + print("Number of Iteration: ", cnt) + print("|x_k - x_k+1|: ", diff) + + + def __plot(self, eqs): + # Определяем диапазон значений для x и y + x = np.linspace(-10, 10, 400) + y = np.linspace(-10, 10, 400) + X, Y = np.meshgrid(x, y) + + # Определяем функцию + Z1 = eqs[0](X,Y) + Z2 = eqs[1](X,Y) + + # Строим график + plt.contour(X, Y, Z1, levels=[0], colors='blue') + plt.contour(X, Y, Z2, levels=[0], colors='red') + plt.title('График системы нелинейных уравнений') + plt.xlabel('x') + plt.ylabel('y') + plt.grid(True) + plt.savefig("System_graph.png") + + + # ввод всех параметров + def __input_params(self): + + print("Input x0: ", end="") + self.x0 = self.__get_param("x0", float, input) + + print("Input y0: ", end="") + self.y0 = self.__get_param("y0", float, input) + + print("Input e: ", end="") + self.e = self.__get_param("e", float, input) + + print() + + + + # получение 1 параметра + def __get_param(self, name, type, func): + try: + return type(func()) + except: + print(f"Incorrect {name}") + exit() + +if __name__ == "__main__": + Newton(sys[0]) \ No newline at end of file diff --git "a/\320\2403208/kaparulin_408737/lab2/test.ipynb" "b/\320\2403208/kaparulin_408737/lab2/test.ipynb" new file mode 100644 index 0000000..3e6fda1 --- /dev/null +++ "b/\320\2403208/kaparulin_408737/lab2/test.ipynb" @@ -0,0 +1,64 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Определяем диапазон значений для x и y\n", + "x = np.linspace(-10, 10, 400)\n", + "y = np.linspace(-10, 10, 400)\n", + "X, Y = np.meshgrid(x, y)\n", + "\n", + "# Определяем функцию\n", + "Z1 = np.sin(X) + 2 * Y - 2\n", + "Z2 = X + np.cos(Y-1) - 0.7\n", + "\n", + "# Строим график\n", + "plt.contour(X, Y, Z1, levels=[0], colors='blue')\n", + "plt.contour(X, Y, Z2, levels=[0], colors='red')\n", + "plt.title('График функции sin(x) + 2*y = 2')\n", + "plt.xlabel('x')\n", + "plt.ylabel('y')\n", + "plt.grid(True)\n", + "plt.show()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + 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c712e038e1ee9520f387f17a78493baec2ec5582..db9e4e48c84e9873d11a328aefd7558bd7c78a34 100644 GIT binary patch delta 460 zcmZ3YHD8DKG%qg~0}!nF|2X~nMqVBc#vhxdI3!tEQe;*$PEO zWg%jW3X>Od2s6t;c}ifOD3qrH;_=I`W&|0_z`)2*$)KsQc{^$rJjKSw9W1hE-nS2z?vJg!cz3C2DAXiShA!5;3(IYP7eKrX+< zl3I~jqRCR^JXu88i7{nzxNtU`FHoY$aPkRZO;$5j_0J`fzX@B%Sb!q zq*qW0aUO&&vH@u_0}-YmLIXsEfCxSiAq*k}fy6Hko80`A(wtPgqG%u&6r#lwC-;h! U@;ERu3V&n(kssV9^N30S0P^ycy#N3J delta 264 zcmbQQvqX#cG%qg~0}vE`eVm@Kk(Y;qv0}3nha}77SRTpAUOd8+_j7Sfe$K-?xr|4I zUuHEUNG$^cBSR&FrtD^M-fK+4Rs4SWdGR@!dGV=*rFsQ<>6!wQZ3U88SqgIUOD69Y zSj6;(adW)jIYwcQPL2s;GsLcNDBR)T?g#RExF)9x&*IYuns|#PwIZ`blcmUhGOvge zW8&lhk!&_kphS_uFKP{vG6fMPAVLE~1Wb+>mE{Tt vGC|HP?w{NyTB>BrDEyHDNPKW$VqoFvsJg@~d6R{s)$Ic_1B+CVFi;@?DkMZy diff --git "a/\320\2403208/kaparulin_408737/lab2/sys_non_lin_eq/Newton.py" "b/\320\2403208/kaparulin_408737/lab2/sys_non_lin_eq/Newton.py" index 65f8403..00b7e2d 100644 --- "a/\320\2403208/kaparulin_408737/lab2/sys_non_lin_eq/Newton.py" +++ "b/\320\2403208/kaparulin_408737/lab2/sys_non_lin_eq/Newton.py" @@ -114,4 +114,4 @@ def __get_param(self, name, type, func): exit() if __name__ == "__main__": - Newton(sys[0]) \ No newline at end of file + Newton(sys[1]) \ No newline at end of file From 14b47b76607f8b7a060ad4dbd71b577ebe43d836 Mon Sep 17 00:00:00 2001 From: Luhter1 Date: Wed, 26 Mar 2025 21:14:54 +0300 Subject: [PATCH 04/10] lab2 --- .../lab2/Comp_math_2.pdf:Zone.Identifier" | 4 -- .../kaparulin_408737/lab2/test.ipynb" | 64 ------------------- 2 files changed, 68 deletions(-) delete mode 100644 "\320\2403208/kaparulin_408737/lab2/Comp_math_2.pdf:Zone.Identifier" delete mode 100644 "\320\2403208/kaparulin_408737/lab2/test.ipynb" diff --git "a/\320\2403208/kaparulin_408737/lab2/Comp_math_2.pdf:Zone.Identifier" "b/\320\2403208/kaparulin_408737/lab2/Comp_math_2.pdf:Zone.Identifier" deleted file mode 100644 index f4799b8..0000000 --- "a/\320\2403208/kaparulin_408737/lab2/Comp_math_2.pdf:Zone.Identifier" +++ /dev/null @@ -1,4 +0,0 @@ -[ZoneTransfer] -ZoneId=3 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"cells": [ - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "\n", - "# Определяем диапазон значений для x и y\n", - "x = np.linspace(-10, 10, 400)\n", - "y = np.linspace(-10, 10, 400)\n", - "X, Y = np.meshgrid(x, y)\n", - "\n", - "# Определяем функцию\n", - "Z1 = np.sin(X) + 2 * Y - 2\n", - "Z2 = X + np.cos(Y-1) - 0.7\n", - "\n", - "# Строим график\n", - "plt.contour(X, Y, Z1, levels=[0], colors='blue')\n", - "plt.contour(X, Y, Z2, levels=[0], colors='red')\n", - "plt.title('График функции sin(x) + 2*y = 2')\n", - "plt.xlabel('x')\n", - "plt.ylabel('y')\n", - "plt.grid(True)\n", - "plt.show()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": ".venv", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.12.3" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} From 2d9fdc29b0aa5c1e090efe933296df26e48b5e6c Mon Sep 17 00:00:00 2001 From: Luhter1 Date: Wed, 26 Mar 2025 21:15:30 +0300 Subject: [PATCH 05/10] lab2 --- .../kaparulin_408737/lab2/reports/Comp_math_2.pdf" | Bin 1 file changed, 0 insertions(+), 0 deletions(-) rename "\320\2403208/kaparulin_408737/lab2/Comp_math_2.pdf" => "\320\2403208/kaparulin_408737/lab2/reports/Comp_math_2.pdf" (100%) diff --git "a/\320\2403208/kaparulin_408737/lab2/Comp_math_2.pdf" "b/\320\2403208/kaparulin_408737/lab2/reports/Comp_math_2.pdf" similarity index 100% rename from "\320\2403208/kaparulin_408737/lab2/Comp_math_2.pdf" rename to "\320\2403208/kaparulin_408737/lab2/reports/Comp_math_2.pdf" From 3b67a42282607d587e8e541d586a7bb073c3d4ae Mon Sep 17 00:00:00 2001 From: Luhter1 Date: Wed, 9 Apr 2025 18:48:05 +0300 Subject: [PATCH 06/10] lab3 --- "\320\2403208/kaparulin_408737/lab3/main.py" | 85 ++++++++ .../lab3/methods/Rectangle.py" | 42 ++++ .../kaparulin_408737/lab3/methods/Simpson.py" | 25 +++ .../lab3/methods/Trapezoid.py" | 40 ++++ .../lab3/methods/__init__.py" | 5 + .../__pycache__/Rectangle.cpython-312.pyc" | Bin 0 -> 2199 bytes .../__pycache__/Simpson.cpython-312.pyc" | Bin 0 -> 1621 bytes .../__pycache__/Trapezoid.cpython-312.pyc" | Bin 0 -> 2074 bytes .../__pycache__/__init__.cpython-312.pyc" | Bin 0 -> 366 bytes .../kaparulin_408737/lab3/poetry.lock" | 199 ++++++++++++++++++ .../kaparulin_408737/lab3/pyproject.toml" | 16 ++ 11 files changed, 412 insertions(+) create mode 100644 "\320\2403208/kaparulin_408737/lab3/main.py" create mode 100644 "\320\2403208/kaparulin_408737/lab3/methods/Rectangle.py" create mode 100644 "\320\2403208/kaparulin_408737/lab3/methods/Simpson.py" create mode 100644 "\320\2403208/kaparulin_408737/lab3/methods/Trapezoid.py" create mode 100644 "\320\2403208/kaparulin_408737/lab3/methods/__init__.py" create mode 100644 "\320\2403208/kaparulin_408737/lab3/methods/__pycache__/Rectangle.cpython-312.pyc" create mode 100644 "\320\2403208/kaparulin_408737/lab3/methods/__pycache__/Simpson.cpython-312.pyc" create mode 100644 "\320\2403208/kaparulin_408737/lab3/methods/__pycache__/Trapezoid.cpython-312.pyc" create mode 100644 "\320\2403208/kaparulin_408737/lab3/methods/__pycache__/__init__.cpython-312.pyc" create mode 100644 "\320\2403208/kaparulin_408737/lab3/poetry.lock" create mode 100644 "\320\2403208/kaparulin_408737/lab3/pyproject.toml" diff --git "a/\320\2403208/kaparulin_408737/lab3/main.py" "b/\320\2403208/kaparulin_408737/lab3/main.py" new file mode 100644 index 0000000..1720879 --- /dev/null +++ "b/\320\2403208/kaparulin_408737/lab3/main.py" @@ -0,0 +1,85 @@ +import warnings +warnings.simplefilter("error") + +from numpy import sin, cos +import numpy as np + +from methods import TrapezoidRule, RectangleRule, SimpsonRule + + +funcs = [ + lambda x: 3*x**3 + 5*x**2 + 3*x - 6, + lambda x: sin(x) + cos(x), + lambda x: x**2 + 1, + lambda x: np.log(x), +] + +methods = [ + RectangleRule.left_rectangle_rule, + RectangleRule.midpoint_rectangle_rule, + RectangleRule.right_rectangle_rule, + TrapezoidRule.trapezoid_rule, + SimpsonRule.simpson_rule, +] + +class Main: + def __init__(self): + eq_nmb = 0 + method_nmb = 0 + + while(eq_nmb not in [1, 2, 3, 4]): + print("[1] f(x) = 3*x**3 + 5*x**2 + 3*x - 6") + print("[2] f(x) = sin(x) + cos(x)") + print("[3] f(x) = x**2 + 1") + print("[4] f(x) = ln(x)") + print("Введите номер уравнения: ", end="") + eq_nmb = self.__get_param("equation number", int, input) + print() + + while(method_nmb not in [1, 2, 3, 4, 5]): + print("[1] Метод левых прямоугольников") + print("[2] Метод серединных прямоугольников") + print("[3] Метод правых прямоугольников") + print("[4] Метод трапеций ") + print("[5] Метод Симпсона ") + print("Введите номер метода решения уравнения: ", end="") + method_nmb = self.__get_param("method name", int, input) + print() + + print("Input a: ", end="") + a = self.__get_param("a", float, input) + print("Input b: ", end="") + b = self.__get_param("b", float, input) + print("Input e: ", end="") + e = self.__get_param("e", float, input) + print() + + if (eq_nmb == 4 and a<=0) and not (eq_nmb == 4 and a==0 and (method_nmb==2 or method_nmb==3)): + print("Error: Integrated function has discontinuity in current interval") + exit() + elif a>b: + print("Error: incorrect interval") + exit() + elif a==b: + Integ, n = 0, 0 + else: + Integ, n = methods[method_nmb-1](funcs[eq_nmb-1], a, b, e=e) + + + print("Integral value: ", Integ) + + print("Number of splits: ", n) + + + + # получение 1 параметра + def __get_param(self, name, type, func): + try: + return type(func()) + except: + print(f"Incorrect {name}") + exit() + + +if __name__ == "__main__": + Main() \ No newline at end of file diff --git "a/\320\2403208/kaparulin_408737/lab3/methods/Rectangle.py" "b/\320\2403208/kaparulin_408737/lab3/methods/Rectangle.py" new file mode 100644 index 0000000..607166f --- /dev/null +++ "b/\320\2403208/kaparulin_408737/lab3/methods/Rectangle.py" @@ -0,0 +1,42 @@ +def _rectangle_rule(func, a, b, n, frac): + """Обобщённое правило прямоугольников.""" + dx = (b - a) / n + ans = 0.0 + xstart = a + frac * dx # 0 <= frac <= 1 задаёт долю смещения точки, + # в которой вычисляется функция, + # от левого края отрезка dx + for i in range(n): + ans += func(xstart + i * dx) + + return ans*dx + +def _rectangle_rule_with_e(func, a, b, n, e, frac): + ans = _rectangle_rule(func, a, b, n, frac) + err_est = max(1, abs(ans)) + + while (err_est > e): + old_ans = ans + ans = _rectangle_rule(func, a, b, 2*n, frac) + + n *= 2 + err_est = abs(ans - old_ans) + + return ans, n + +class RectangleRule: + + @classmethod + def left_rectangle_rule(self, func, a, b, n = 4, e = 1e-4): + """Правило левых прямоугольников""" + return _rectangle_rule_with_e(func, a, b, n, e, 0.0) + + @classmethod + def right_rectangle_rule(self, func, a, b, n = 4, e = 1e-4): + """Правило правых прямоугольников""" + return _rectangle_rule_with_e(func, a, b, n, e, 1.0) + + @classmethod + def midpoint_rectangle_rule(self, func, a, b, n = 4, e = 1e-4): + """Правило прямоугольников со средней точкой""" + return _rectangle_rule_with_e(func, a, b, n, e, 0.5) + \ No newline at end of file diff --git "a/\320\2403208/kaparulin_408737/lab3/methods/Simpson.py" "b/\320\2403208/kaparulin_408737/lab3/methods/Simpson.py" new file mode 100644 index 0000000..f7488ec --- /dev/null +++ "b/\320\2403208/kaparulin_408737/lab3/methods/Simpson.py" @@ -0,0 +1,25 @@ +from .Trapezoid import TrapezoidRule + +class SimpsonRule: + + @classmethod + def simpson_rule(self, func, a, b, n = 4, e = 1e-4): + """Интегрирование методом парабол с заданной точностью. + e - относительная точность, + n - число отрезков начального разбиения""" + old_trapez_sum, _ = TrapezoidRule.trapezoid_rule(func, a, b, n, e=float('inf')) + new_trapez_sum, _ = TrapezoidRule.trapezoid_rule(func, a, b, 2*n, e=float('inf')) + ans = (4 * new_trapez_sum - old_trapez_sum) / 3 + + err_est = max(1, abs(ans)) + + while (err_est > e): + n*=2 + old_ans = ans + old_trapez_sum = new_trapez_sum + new_trapez_sum, _ = TrapezoidRule.trapezoid_rule(func, a, b, 2*n, e=float('inf')) + + ans = (4 * new_trapez_sum - old_trapez_sum) / 3 + err_est = abs(old_ans - ans) + + return ans, n \ No newline at end of file diff --git "a/\320\2403208/kaparulin_408737/lab3/methods/Trapezoid.py" "b/\320\2403208/kaparulin_408737/lab3/methods/Trapezoid.py" new file mode 100644 index 0000000..6768231 --- /dev/null +++ "b/\320\2403208/kaparulin_408737/lab3/methods/Trapezoid.py" @@ -0,0 +1,40 @@ +def _rectangle_rule(func, a, b, n, frac): + """Обобщённое правило прямоугольников.""" + dx = 1.0 * (b - a) / n + sum = 0.0 + xstart = a + frac * dx # 0 <= frac <= 1 задаёт долю смещения точки, + # в которой вычисляется функция, + # от левого края отрезка dx + for i in range(n): + sum += func(xstart + i * dx) + + return sum * dx + +def midpoint_rectangle_rule(func, a, b, n): + """Правило прямоугольников со средней точкой""" + return _rectangle_rule(func, a, b, n, 0.5) + +class TrapezoidRule: + @classmethod + def trapezoid_rule(self, func, a, b, n = 4, e = 1e-4): + """Правило трапеций + e - желаемая относительная точность вычислений + n0 - начальное число отрезков разбиения""" + old_ans = 0.0 + dx = (b - a) / n + ans = 0.5 * (func(a) + func(b)) + + for i in range(1, n): + ans += func(a + i * dx) + + ans *= dx + err_est = max(1, abs(ans)) + while (err_est > e): + old_ans = ans + ans = 0.5 * (ans + midpoint_rectangle_rule(func, a, b, n)) # новые точки для уточнения интеграла + # добавляются ровно в середины предыдущих отрезков + n *= 2 + err_est = abs(ans - old_ans) + + return ans, n + \ No newline at end of file diff --git "a/\320\2403208/kaparulin_408737/lab3/methods/__init__.py" 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08/10] lab 5 --- .../kaparulin_408737/lab3/methods/Simpson.py" | 3 + "\320\2403208/kaparulin_408737/lab4/1" | 11 + .../kaparulin_408737/lab4/graph.png" | Bin 0 -> 76410 bytes "\320\2403208/kaparulin_408737/lab4/main.py" | 148 ++ .../kaparulin_408737/lab4/poetry.lock" | 1269 +++++++++++++++++ .../kaparulin_408737/lab4/pyproject.toml" | 20 + .../kaparulin_408737/lab5/data1.txt" | 3 + .../kaparulin_408737/lab5/data2.txt" | 4 + .../kaparulin_408737/lab5/data3.txt" | 3 + .../kaparulin_408737/lab5/graph.png" | Bin 0 -> 35091 bytes "\320\2403208/kaparulin_408737/lab5/main.py" | 201 +++ .../kaparulin_408737/lab5/poetry.lock" | 584 ++++++++ .../kaparulin_408737/lab5/pyproject.toml" | 17 + 13 files changed, 2263 insertions(+) create mode 100644 "\320\2403208/kaparulin_408737/lab4/1" create mode 100644 "\320\2403208/kaparulin_408737/lab4/graph.png" create mode 100644 "\320\2403208/kaparulin_408737/lab4/main.py" create mode 100644 "\320\2403208/kaparulin_408737/lab4/poetry.lock" create mode 100644 "\320\2403208/kaparulin_408737/lab4/pyproject.toml" create mode 100644 "\320\2403208/kaparulin_408737/lab5/data1.txt" create mode 100644 "\320\2403208/kaparulin_408737/lab5/data2.txt" create mode 100644 "\320\2403208/kaparulin_408737/lab5/data3.txt" create mode 100644 "\320\2403208/kaparulin_408737/lab5/graph.png" create mode 100644 "\320\2403208/kaparulin_408737/lab5/main.py" create mode 100644 "\320\2403208/kaparulin_408737/lab5/poetry.lock" create mode 100644 "\320\2403208/kaparulin_408737/lab5/pyproject.toml" diff --git "a/\320\2403208/kaparulin_408737/lab3/methods/Simpson.py" "b/\320\2403208/kaparulin_408737/lab3/methods/Simpson.py" index f7488ec..22f4203 100644 --- "a/\320\2403208/kaparulin_408737/lab3/methods/Simpson.py" +++ "b/\320\2403208/kaparulin_408737/lab3/methods/Simpson.py" @@ -7,6 +7,9 @@ def simpson_rule(self, func, a, b, n = 4, e = 1e-4): """Интегрирование методом парабол с заданной точностью. e - относительная точность, n - число отрезков начального разбиения""" + """ + SS = (4*T(2n) - T(N))/3 + """ old_trapez_sum, _ = TrapezoidRule.trapezoid_rule(func, a, b, n, e=float('inf')) new_trapez_sum, _ = TrapezoidRule.trapezoid_rule(func, a, b, 2*n, e=float('inf')) ans = (4 * new_trapez_sum - old_trapez_sum) / 3 diff --git "a/\320\2403208/kaparulin_408737/lab4/1" "b/\320\2403208/kaparulin_408737/lab4/1" new file mode 100644 index 0000000..58513c3 --- /dev/null +++ "b/\320\2403208/kaparulin_408737/lab4/1" @@ -0,0 +1,11 @@ +-2.0 -1.6857 +-1.8 -1.5973 +-1.6 -1.4193 +-1.4 -1.1679 +-1.2 -0.8744 +-1.0 -0.5750 +-0.8 -0.3181 +-0.6 -0.1338 +-0.4 -0.0396 +-0.2 -0.0063 +0.0 0.0000 \ No newline at end of file diff --git "a/\320\2403208/kaparulin_408737/lab4/graph.png" "b/\320\2403208/kaparulin_408737/lab4/graph.png" new file mode 100644 index 0000000000000000000000000000000000000000..54575ed505b14bd82a00138e46b854f856e9d8ba GIT binary patch literal 76410 zcmeFZWmJ`2)Hb>$rKL+kkdhARP)P+rLAqPII|b=(loBavkap889n#(1-Dho|hv)sy 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+import numpy as np +import matplotlib.pyplot as plt +from scipy.optimize import curve_fit + +X = [] +Y = [] + +# Функции для аппроксимации +def linear(x, a, b): + return a * x + b + +def quadratic(x, a, b, c): + return a * x**2 + b * x + c + +def cubic(x, a, b, c, d): + return a * x**3 + b * x**2 + c * x + d + +def exponential(x, a, b): + return a * np.exp(b * x) + +def logarithmic(x, a, b): + return a * np.log(x + 1e-9) + b # +1e-9 для избежания log(0) + +def power(x, a, b): + return a * (x + 1e-9)**b # +1e-9 для избежания 0^b + +# Метод наименьших квадратов для всех моделей +models = { + "Линейная": (linear, 2), + "Квадратичная": (quadratic, 3), + "Кубическая": (cubic, 4), + "Экспоненциальная": (exponential, 2), + "Логарифмическая": (logarithmic, 2), + "Степенная": (power, 2), +} + +class Main: + def __init__(self): + point_nmb = 0 + + while(point_nmb not in [8, 9, 10, 11, 12]): + print("Введите количество вводимых точек(8-12): ", end="") + point_nmb = self.__get_param("equation number", int, input) + print() + + print("Введите путь до данных(\"\" - ввод в терминале): ", end="") + file = self.__get_param("file name", str, input) + + if file: + with open(file) as f: + for i in f.readlines(): + xi, yi = map(float, i.split(" ")) + X.append(xi) + Y.append(yi) + else: + for i in range(point_nmb): + xi, yi = map(float, input().split(" ")) + X.append(xi) + Y.append(yi) + + + if len(X) != point_nmb: + print("Error: invalid point's number") + exit() + + x = np.array(X) + y = np.array(Y) + + # решение + results = {} + for name, (func, params) in models.items(): + try: + popt, pcov = curve_fit(func, x, y, maxfev=10000) + y_pred = func(x, *popt) + S = np.sum((y_pred - y)**2) + n = len(x) + mse = np.sqrt(S / n) + results[name] = { + "coeffs": popt, + "S": S, + "mse": mse, + "y_pred": y_pred, + } + except Exception as e: + print(f"Ошибка в модели {name}: {str(e)}") + + # Коэффициент корреляции Пирсона (для линейной) + if "Линейная" in results: + r = np.corrcoef(x, y)[0, 1] + results["Линейная"]["r"] = r + R2 = r**2 + results["Линейная"]["R2"] = R2 + + # Вывод результатов + print("Результаты аппроксимации:") + for name, data in results.items(): + print(f"\n--- {name} ---") + print(f"Коэффициенты: {np.round(data['coeffs'], 4)}") + print(f"S = {data['S']:.4f}") + print(f"СКО = {data['mse']:.4f}") + if name == "Линейная": + print(f"Коэф. корреляции Пирсона: {data['r']:.4f}") + print(f"Коэф. детерминации R²: {data['R2']:.4f}") + + # Выбор наилучшей модели + best_model = min(results.items(), key=lambda x: x[1]["mse"]) + print(f"\nНаилучшая модель: {best_model[0]} (СКО = {best_model[1]['mse']:.4f})") + + # Построение графиков + plt.figure(figsize=(12, 8)) + plt.scatter(x, y, label="Исходные данные", color="black") + + x_plot = np.linspace(x.min() - 0.5, x.max() + 0.5, 100) + for name, data in results.items(): + if name == "Линейная": + y_plot = linear(x_plot, *data["coeffs"]) + elif name == "Квадратичная": + y_plot = quadratic(x_plot, *data["coeffs"]) + elif name == "Кубическая": + y_plot = cubic(x_plot, *data["coeffs"]) + elif name == "Экспоненциальная": + y_plot = exponential(x_plot, *data["coeffs"]) + elif name == "Логарифмическая": + y_plot = logarithmic(x_plot, *data["coeffs"]) + elif name == "Степенная": + y_plot = power(x_plot, *data["coeffs"]) + plt.plot(x_plot, y_plot, label=name) + + plt.xlabel("x") + plt.ylabel("y") + plt.title("Аппроксимация функции") + plt.legend() + plt.grid(True) + plt.savefig("graph.png") + + + + # получение 1 параметра + def __get_param(self, name, type, func): + try: + return type(func()) + except: + print(f"Incorrect {name}") + exit() + + +if __name__ == "__main__": + Main() \ No newline at end of file diff --git "a/\320\2403208/kaparulin_408737/lab4/poetry.lock" "b/\320\2403208/kaparulin_408737/lab4/poetry.lock" new file mode 100644 index 0000000..2f41f61 --- /dev/null +++ "b/\320\2403208/kaparulin_408737/lab4/poetry.lock" @@ -0,0 +1,1269 @@ +# This file is automatically @generated by Poetry 1.8.2 and 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таблицы конечных разностей +def finite_diff(y): + n = len(y) + table = np.zeros((n, n)) + table[:,0] = y + for j in range(1, n): + for i in range(n - j): + table[i][j] = table[i+1][j-1] - table[i][j-1] + return table + +# 1. Интерполяция многочленом Лагранжа +def lagrange_interpolation(x, y, x_val): + result = 0.0 + n = len(x) + for i in range(n): + term = y[i] + for j in range(n): + if j != i: + term *= (x_val - x[j]) / (x[i] - x[j]) + result += term + return result + +# 2. Интерполяция Ньютона с разделенными разностями +def newton_divided_diff(x, y, x_val): + n = len(x) + coef = np.zeros([n, n]) + coef[:,0] = y + + for j in range(1, n): + for i in range(n - j): + coef[i][j] = (coef[i+1][j-1] - coef[i][j-1]) / (x[i+j] - x[i]) + + result = coef[0][0] + for j in range(1, n): + term = coef[0][j] + for k in range(j): + term *= (x_val - x[k]) + result += term + return result + +# 3. Интерполяция Ньютона с конечными разностями (1 и 2 формулы) +def newton_forward(x, y, x_val): + h = x[1] - x[0] + t = (x_val - x[0]) / h + diff = finite_diff(y) + result = y[0] + for i in range(1, len(x)): + term = 1.0 + for j in range(i): + term *= (t - j) + result += (term / factorial(i)) * diff[0, i] + return result + +def newton_backward(x, y, x_val): + h = x[1] - x[0] + t = (x_val - x[-1]) / h + diff = finite_diff(y) + result = y[-1] + for i in range(1, len(x)): + term = 1.0 + for j in range(i): + term *= (t + j) + result += (term / factorial(i)) * diff[-i-1, i] + return result + +# Функции для выбора в режиме (c) +def func_sin(x): + return sin(x) + +def func_cos(x): + return cos(x) + +def func_exp(x): + return exp(x) + +def func_log(x): + return log(x) if x > 0 else float('nan') + +def input_data(): + print("Выберите способ ввода данных:") + print("a) Ввод с клавиатуры") + print("b) Загрузка из файла") + print("c) Генерация на основе функции") + choice = input("Ваш выбор (a/b/c): ").strip().lower() + + if choice == 'a': + # Режим (a): ввод с клавиатуры + n = int(input("Введите количество точек: ")) + x = [] + y = [] + for i in range(n): + xi = float(input(f"x[{i}]: ")) + yi = float(input(f"y[{i}]: ")) + x.append(xi) + y.append(yi) + return x, y + + elif choice == 'b': + # Режим (b): загрузка из файла + filename = input("Введите имя файла: ") + with open(filename, 'r') as f: + lines = f.readlines() + x = [] + y = [] + for line in lines: + xi, yi = map(float, line.strip().split()) + x.append(xi) + y.append(yi) + return x, y + + elif choice == 'c': + # Режим (c): генерация на основе функции + print("Доступные функции:") + print("1. sin(x)") + print("2. cos(x)") + print("3. exp(x)") + print("4. log(x)") + func_choice = int(input("Выберите функцию (1-4): ")) + a = float(input("Начало интервала: ")) + b = float(input("Конец интервала: ")) + n = int(input("Количество точек: ")) + + x = np.linspace(a, b, n) + if func_choice == 1: + y = [func_sin(xi) for xi in x] + elif func_choice == 2: + y = [func_cos(xi) for xi in x] + elif func_choice == 3: + y = [func_exp(xi) for xi in x] + elif func_choice == 4: + y = [func_log(xi) if xi > 0 else float('nan') for xi in x] + else: + raise ValueError("Неверный выбор функции") + + # Удаляем точки, где log(x) не определен + if func_choice == 4: + x = [xi for xi, yi in zip(x, y) if not np.isnan(yi)] + y = [yi for yi in y if not np.isnan(yi)] + + return x, y + + else: + raise ValueError("Неверный выбор способа ввода") + +if __name__ == "__main__": + try: + x, y = input_data() + print("\nВведенные данные:") + for xi, yi in zip(x, y): + print(f"x = {xi:.4f}, y = {yi:.4f}") + + # Запрос точки интерполяции + x_val = float(input("\nВведите значение x для интерполяции: ")) + + # Вычисление интерполяции + print("\nРезультаты интерполяции:") + print(f"Лагранж: y({x_val}) ≈ {lagrange_interpolation(x, y, x_val):.6f}") + print(f"Ньютон (раздел. разности): y({x_val}) ≈ {newton_divided_diff(x, y, x_val):.6f}") + + if len(set(np.diff(x))) == 1: # Проверка равномерности сетки + print(f"Ньютон (вперед): y({x_val}) ≈ {newton_forward(x, y, x_val):.6f}") + print(f"Ньютон (назад): y({x_val}) ≈ {newton_backward(x, y, x_val):.6f}") + print() + print("Таблица конечных разностей:\n") + + diff_table = finite_diff(y) + + for line in diff_table: + for item in line: + print("%.3f\t" % (item), end="") + print() + print() + else: + print("Методы Ньютона с конечными разностями требуют равномерной сетки!") + + + + # Построение графиков + x_new = np.linspace(min(x), max(x), 100) + y_lagrange = [lagrange_interpolation(x, y, xi) for xi in x_new] + y_newton_div = [newton_divided_diff(x, y, xi) for xi in x_new] + + plt.figure(figsize=(10, 6)) + plt.plot(x, y, 'o', label='Узлы интерполяции') + plt.plot(x_new, y_lagrange, label='Лагранж') + plt.plot(x_new, y_newton_div, '--', label='Ньютон (раздел. разности)') + plt.xlabel('x') + plt.ylabel('y') + plt.legend() + plt.grid() + plt.title('Интерполяция функции') + 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"a/\320\2403208/kaparulin_408737/lab5/pyproject.toml" "b/\320\2403208/kaparulin_408737/lab5/pyproject.toml" new file mode 100644 index 0000000..ef358c1 --- /dev/null +++ "b/\320\2403208/kaparulin_408737/lab5/pyproject.toml" @@ -0,0 +1,17 @@ +[tool.poetry] +name = "lab5" +version = "0.1.0" +description = "" +authors = ["Luhter1 "] +readme = "README.md" + +[tool.poetry.dependencies] +python = "^3.12" +numpy = "^2.2.6" +matplotlib = "^3.10.3" +scipy = "^1.15.3" + + +[build-system] +requires = ["poetry-core"] +build-backend = "poetry.core.masonry.api" From f99e2e94ef8c6edbe7a4e67937a47fc2f09cc36b Mon Sep 17 00:00:00 2001 From: Luhter1 Date: Wed, 28 May 2025 10:22:53 +0300 Subject: [PATCH 09/10] lab6 --- "\320\2403208/kaparulin_408737/lab5/main.py" | 1 - .../kaparulin_408737/lab6/graph.png" | Bin 0 -> 53653 bytes "\320\2403208/kaparulin_408737/lab6/main.py" | 124 +++++ .../kaparulin_408737/lab6/poetry.lock" | 521 ++++++++++++++++++ .../kaparulin_408737/lab6/pyproject.toml" | 16 + 5 files changed, 661 insertions(+), 1 deletion(-) create mode 100644 "\320\2403208/kaparulin_408737/lab6/graph.png" create mode 100644 "\320\2403208/kaparulin_408737/lab6/main.py" create mode 100644 "\320\2403208/kaparulin_408737/lab6/poetry.lock" create mode 100644 "\320\2403208/kaparulin_408737/lab6/pyproject.toml" diff --git "a/\320\2403208/kaparulin_408737/lab5/main.py" "b/\320\2403208/kaparulin_408737/lab5/main.py" index 9bccb2e..d8df696 100644 --- "a/\320\2403208/kaparulin_408737/lab5/main.py" +++ "b/\320\2403208/kaparulin_408737/lab5/main.py" @@ -1,6 +1,5 @@ import numpy as np import matplotlib.pyplot as plt -from scipy.interpolate import lagrange, CubicSpline from scipy.special import factorial from math import sin, cos, exp, log diff --git "a/\320\2403208/kaparulin_408737/lab6/graph.png" "b/\320\2403208/kaparulin_408737/lab6/graph.png" new file mode 100644 index 0000000000000000000000000000000000000000..554841bedef919a3f1256a54765cddab0ac29edc GIT binary patch literal 53653 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+def euler(f, x0, y0, h, xn): + x = np.arange(x0, xn + h, h) + y = np.zeros(len(x)) + y[0] = y0 + for i in range(1, len(x)): + y[i] = y[i-1] + h * f(x[i-1], y[i-1]) + return x, y + +def improved_euler(f, x0, y0, h, xn): + x = np.arange(x0, xn + h, h) + y = np.zeros(len(x)) + y[0] = y0 + for i in range(1, len(x)): + k1 = h * f(x[i-1], y[i-1]) + k2 = h * f(x[i-1] + h, y[i-1] + k1) + y[i] = y[i-1] + (k1 + k2) / 2 + return x, y + +def milne(f, x0, y0, h, xn, start_method): + x = np.arange(x0, xn + h, h) + n = len(x) + y = np.zeros(n) + # Используем стартовый метод для первых 4 точек + x_start, y_start = start_method(f, x0, y0, h, x0 + 3*h) + y[:4] = y_start[:4] + for i in range(3, n-1): + # Предиктор + y_pred = y[i-3] + 4*h/3 * (2*f(x[i], y[i]) - f(x[i-1], y[i-1]) + 2*f(x[i-2], y[i-2])) + # Корректор + y[i+1] = y[i-1] + h/3 * (f(x[i+1], y_pred) + 4*f(x[i], y[i]) + f(x[i-1], y[i-1])) + return x, y + +if __name__ == "__main__": + # Выбор ОДУ + print("Выберите ОДУ:") + print("1. y' = x + y") + print("2. y' = y * cos(x)") + print("3. y' = x^2 - y") + choice = int(input("Введите номер ОДУ (1-3): ")) + + if choice == 1: + f = f1 + y_exact = lambda x: y_exact1(x, x0, y0) + elif choice == 2: + f = f2 + y_exact = lambda x: y_exact2(x, x0, y0) + elif choice == 3: + f = f3 + y_exact = lambda x: y_exact3(x, x0, y0) + else: + print("Некорректный выбор") + exit() + + x0 = float(input("Введите x0: ")) + y0 = float(input("Введите y0: ")) + xn = float(input("Введите xn: ")) + h = float(input("Введите шаг h: ")) + epsilon = float(input("Введите точность ε: ")) + + if xn <= x0: + print("Некорректный интервал") + exit() + + # Решение методами + x_euler, y_euler = euler(f, x0, y0, h, xn) + x_ie, y_ie = improved_euler(f, x0, y0, h, xn) + x_milne, y_milne = milne(f, x0, y0, h, xn, improved_euler) + + # Точное решение + x_exact = np.linspace(x0, xn, 100) + y_exact_vals = y_exact(x_exact) + + # Оценка точности + # Правило Рунге для метода Эйлера + h2 = h / 2 + x_euler_h2, y_euler_h2 = euler(f, x0, y0, h2, xn) + error_euler = np.abs(y_euler - y_euler_h2[::2][:len(y_euler)]) + + # Ошибка для Милна через точное решение + y_milne_exact = y_exact(x_milne) + error_milne = np.abs(y_milne - y_milne_exact) + + # Вывод таблицы + print("\nТаблица результатов:") + print("x\tЭйлер\tУ.Эйлер\tМилна\tErr_Э\tErr_М") + for i in range(len(x_euler)): + print(f"{x_euler[i]:.2f}\t{y_euler[i]:.3f}\t{y_ie[i]:.3f}\t{y_milne[i]:.3f}\t{error_euler[i]:.4f}\t{error_milne[i]:.4f}") + + # Графики + plt.figure(figsize=(10, 6)) + plt.plot(x_exact, y_exact_vals, label='Точное решение', color='black') + plt.plot(x_euler, y_euler, 'o--', label='Метод Эйлера') + plt.plot(x_ie, y_ie, 's--', label='У. 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