lab.py

from tkinter import *


def calculate():
    step = float(e1.get())
    x = float(e21.get())
    y = float(e22.get())
    prec = float(e3.get())
    dx = float(e41.get())
    dy = float(e42.get())

    x0 = x, y
    x1 = research(x0, dx, dy, prec, step, False)
    if x1:
        while True:
            x = x0[0] + 2.0 * (x1[0] - x0[0])
            y = x0[1] + 2.0 * (x1[1] - x0[1])
            x2 = x, y
            x3 = research(x2, dx, dy, prec, step, False)
            if x3 and x3 == x2:
                x0 = x1[0], x1[1]
                x1 = x3[0], x3[1]
            else:
                break

    e5['state'] = 'normal'
    e6['state'] = 'normal'
    e7['state'] = 'normal'
    e5.delete(0, END)
    e6.delete(0, END)
    e7.delete(0, END)

    e5.insert(0, str(x0[0]))
    e6.insert(0, str(x0[1]))
    e7.insert(0, str(func(x0[0], x0[1])))
    e5['state'] = 'disabled'
    e6['state'] = 'disabled'
    e7['state'] = 'disabled'


def func(x1, x2):
    # return pow(1 - x1, 2) + 100 * pow(x2 - pow(x1, 2), 2)
    return 4 * pow(x1 - 5, 2) + pow(x2 - 6, 2)

def research(x0, dx, dy, prec, step, step_fixed=False):
    step_x = dx
    step_y = dy
    x1 = x0
    while step_y >= prec or step_x >= prec:
        if func(x0[0], x0[1]) > func(x1[0] + step_x, x1[1]):
            return x1[0] + step_x, x1[1]
        elif func(x0[0], x0[1]) > func(x1[0] - step_x, x1[1]):
            return x1[0] - step_x, x1[1]
        else:
            if not step_fixed:
                step_x = step_x / step
            val1 = func(x1[0] + step_x, x1[1])
            val2 = func(x1[0] - step_x, x1[1])
            if val1 < val2:
                x1 = x1[0] + step_x, x1[1]
            else:
                x1 = x1[0] - step_x, x1[1]

        if func(x0[0], x0[1]) > func(x1[0], x1[1] + step_y):
            return x1[0], x1[1] + step_y
        elif func(x0[0], x0[1]) > func(x1[0], x1[1] - step_y):
            return x1[0], x1[1] - step_y
        else:
            if not step_fixed:
                step_y = step_y / step
            val1 = func(x1[0], x1[1] + step_y)
            val2 = func(x1[0], x1[1] - step_y)
            if val1 < val2:
                x1 = x1[0], x1[1] + step_y
            else:
                x1 = x1[0], x1[1] - step_y



master = Tk()
Label(master, text="Коэффициент уменьшения шага").grid(row=0)
e1 = Entry(master, width=40)
e1.grid(row=0, columnspan=2,  column=1)

Label(master, text="Начальная точка X0(X1:X2)").grid(row=1)
e21 = Entry(master)
e21.grid(row=1, column=1)
e22 = Entry(master)
e22.grid(row=1, column=2)

Label(master, text="Точность").grid(row=3)
e3 = Entry(master, width=40)
e3.grid(row=3, columnspan=2, column=1)

Label(master, text="Приращение (dX1: dX2)").grid(row=4)
e41 = Entry(master)
e41.grid(row=4, column=1)
e42 = Entry(master)
e42.grid(row=4, column=2)

Button(master, text="Исследовать", command=calculate).grid(
    row=5, columnspan=2, sticky='n'
)

Label(master, text="X1").grid(row=6)
e5 = Entry(master, state='disabled')
e5.grid(row=6, column=1)
Label(master, text="X2").grid(row=7)
e6 = Entry(master, state='disabled')
e6.grid(row=7, column=1)
Label(master, text="f(x)").grid(row=8)
e7 = Entry(master, state='disabled')
e7.grid(row=8, column=1)

master.title('Метод Хука-Дживса')
mainloop()