from tkinter import Tk, Canvas, mainloop
from math import *

WIDTH, HEIGHT = 640, 480
BACKGROUND_COLOR = "#000"
PLOT_COLOR = '#aaa'
AXIS_COLOR = '#0f0'
BORDER_COLOR = '#a00'
GRID_COLOR = '#040'
EPSILON = 10e-8

window = Tk()
canvas = Canvas(window, width=WIDTH, height=HEIGHT, bg=BACKGROUND_COLOR)
canvas.pack()

a, b = -2.1, 2.1
if a == b:
    a += EPSILON
    b -= EPSILON

def f(x):
    if x == 0:
        x = EPSILON
    return sin(1/x)*10
    # return x**2
    # return 1
    # return -x**2

PADDING = 50
minx, miny = PADDING, PADDING
maxx, maxy = WIDTH - PADDING, HEIGHT - PADDING
ymin = ymax = f(a)

for xx in range(minx, maxx + 1):
    x  = a + xx * (b - a) / maxx
    y  = f(x)
    if (y < ymin):
        ymin = y
    if (y > ymax):
        ymax = y
if ymax == ymin:
    ymax += EPSILON
    ymin -= EPSILON

def drawGraph():
    yy = (ymax - f(a)) / (ymax - ymin) * (maxy - miny) + PADDING
    xx0, yy0 = minx, round(yy)
    # print(str(xx0) + ' ' + str(yy0))
    for xx in range(minx + 1, maxx + 1):
        x  = a + (xx - minx)* (b - a) / (maxx - minx)
        y  = f(x)
        yy = (ymax - y) / (ymax - ymin) * (maxy - miny) + PADDING
        # print(str(xx) + ' ' + str(yy))
        canvas.create_line(xx0, yy0, xx, yy, fill=PLOT_COLOR)
        canvas.create_line(xx, yy, xx0, yy0, fill=PLOT_COLOR)   #kostyl
        xx0, yy0 = xx, yy
    # print(str(xx) + ' ' + str(yy))

def drawAxis():
    xx0 = minx + (0 - a) * (maxx - minx) / (b - a)
    if xx0 >= minx and xx0 <= maxx:
        canvas.create_line(xx0, miny - PADDING, xx0, maxy + PADDING, fill=AXIS_COLOR)

    yy0 = (ymax - 0) / (ymax - ymin) * (maxy - miny) + PADDING
    if yy0 >= miny and yy0 <= maxy:
        canvas.create_line(minx - PADDING, yy0, maxx + PADDING, yy0, fill=AXIS_COLOR)
    pass

def drawGrid():
    for x in range(ceil(a), floor(b + 1)):
        xx = minx + (x - a) * (maxx - minx) / (b - a)
        canvas.create_line(xx, miny - PADDING, xx, maxy + PADDING, fill=GRID_COLOR)
    for y in range(ceil(ymin), floor(ymax + 1)):
        yy = (ymax - y) / (ymax - ymin) * (maxy - miny) + PADDING
        canvas.create_line(minx - PADDING, yy, maxx + PADDING, yy, fill=GRID_COLOR)

def drawBorders():
    xx = minx
    canvas.create_line(xx, miny - PADDING, xx, maxy + PADDING, fill=BORDER_COLOR)
    xx = maxx
    canvas.create_line(xx, miny - PADDING, xx, maxy + PADDING, fill=BORDER_COLOR)
    yy = PADDING
    canvas.create_line(minx - PADDING, yy, maxx + PADDING, yy, fill=BORDER_COLOR)
    yy = maxy
    canvas.create_line(minx - PADDING, yy, maxx + PADDING, yy, fill=BORDER_COLOR)

drawGrid()
drawBorders()
drawAxis()
drawGraph()
mainloop()