from matplotlib import pyplot as plt
import tkinter as tk
import math
import numpy as np
def f(x):
    return np.cos(x)
def df(x):
    return np.cos(x)
def d2f(x):
    return -np.sin(x)

def graph(): #График
    global a,b
    x1 = np.linspace(a.get(), b.get(), 10 ** 5, dtype = float)
    y1 = [f(el) for el in x1]
    x2, y2 = [], []
    for el in x1:
        if np.fabs(d2f(el)) <= 1e-3:
            x2.append(el)
            y2.append(f(el))
    plt.plot(x1, y1, x1, np.zeros(10 ** 5, dtype = float), 'r', x2, y2, 'gs')
    plt.legend(('f(x)', 'Ось абсцисс', 'Точки перегиба'))
    plt.grid(b = True)
    plt.show()

def table():#таблица
    global af,hf,bf,ef
    af=a.get()
    bf=b.get()
    hf=h.get()
    ef=e.get()

    korni()
    win=tk.Tk()
    win.title('Результат')

    win.resizable(True,True)
    tk.Label(win,text="№",font=('Colibri',15),fg='red').grid(row=0, column=0,padx=20)
    tk.Label(win,text="Начало интервала",font=('Colibri',15),fg='red').grid(row=0, column=1,padx=20)
    tk.Label(win,text="Конец интервала",font=('Colibri',15),fg='red').grid(row=0, column=2,padx=20)
    tk.Label(win,text="Значение корня",font=('Colibri',15),fg='red').grid(row=0, column=3,padx=20)
    tk.Label(win,text="Значение функции",font=('Colibri',15),fg='red').grid(row=0, column=4,padx=20)
    tk.Label(win,text="Кол-во итераций",font=('Colibri',15),fg='red').grid(row=0, column=5,padx=20)
    for i in range(len(kon)):
        for j in range(len(kon[i])):
            tk.Label(win, text = kon[i][j], font=('Colibri',15)).grid(row=i+1, column=j)

    win.mainloop()
def korni():

    global af,bf,hf,ef
    i=0;
    while True:
        xmin=af+hf*i
        i+=1
        xmax=af+hf*i
        if xmin>bf:
            break
        if xmax>bf:
            xmax=bf
        fmin=f(xmin)
        fmax=f(xmax)
        if fmin*fmax>0:
            continue
        t=0
        x1=xmin
        x2=xmax
        while abs(x1-x2)>ef:
            x=(x1+x2)/2
            fx=f(x)
            if fx*fmin>0:
                x1=x
            else:
                x2=x
            t+=1
        pred=[i,xmin, xmax, x, fx, t]
        kon.append(pred)
        print(kon)

kon=[]
pred=[]
root=tk.Tk()
root.title('Уточнение корней')
root.geometry('360x200')
root.resizable(False,False)
a=tk.DoubleVar()
b=tk.DoubleVar()
h=tk.DoubleVar()
e=tk.DoubleVar()
aentry=tk.Label(root,text="a :",font=('Colibri',15),fg='red').grid(row=1, column=0)
bentry=tk.Label(root,text="b :",font=('Colibri',15),fg='red').grid(row=2, column=0)
hentry=tk.Label(root,text="step :",font=('Colibri',15),fg='red').grid(row=3, column=0)
eentry=tk.Label(root,text="eps :",font=('Colibri',15),fg='red').grid(row=4, column=0)
a_entry=tk.Entry(root,font=('Colibri',15), textvariable = a)
a_entry.grid(row=1, column=1, pady=5, padx=5)
b_entry=tk.Entry(root,font=('Colibri',15), textvariable = b)
b_entry.grid(row=2, column=1, pady=5, padx=5)
h_entry=tk.Entry(root,font=('Colibri',15), textvariable = h)
h_entry.grid(row=3, column=1, pady=5, padx=5)
e_entry=tk.Entry(root,font=('Colibri',15), textvariable = e)
e_entry.grid(row=4, column=1, pady=5, padx=5)
b1_entry=tk.Button(root,command=table,text='Таблица',width=10,height=1,font=('Colibri',15))
b1_entry.grid(row=7, column=0, pady=5, padx=5)
b2_entry=tk.Button(root,command=graph,text='График',width=10,height=1,font=('Colibri',15))
b2_entry.grid(row=7, column=1, pady=5, padx=5)

root.mainloop()