DrLecter

from tkinter import *
from math import *

def reset():
    global zoom,smooth,limit
    zoom=30
    smooth=6
    limit=360
    espiral()

def zoomin():
    global zoom
    if zoom<100:
        zoom+=10
    espiral()

def zoomout():
    global zoom
    if zoom>10:
        zoom-=10
    espiral()

def smoothup():
    global smooth
    if smooth<10:
        smooth+=1
    espiral()

def smoothdown():
    global smooth
    if smooth>1:
        smooth-=1
    espiral()

def limitup():
    global limit
    if limit<1000:
        limit+=10
    espiral()

def limitdown():
    global limit
    if limit>10:
        limit-=10
    espiral()

def punto_cartesiano(x,y,x0,y0,color1,color2):
    global zoom
    A1=(x*zoom+250)
    A2=(500-(y*zoom+250))
    A3=(x0*zoom+250)
    A4=(500-(y0*zoom+250))
    l.create_line(A1,A2,A3,A4,fill=color1)
    l.create_line(A1,A2,A1+1,A2-1,fill=color2)

def espiral():
  global zoom,smooth,limit
  l.delete(ALL)
  l.create_line(0,250,500,250,fill="#B0B0B0")
  l.create_line(250,0,250,500,fill="#A0A0A0")
  l.create_text(62,12,text="Z:"+str(zoom)+",S:"+str(smooth)+",A:"+str(limit))
  x0,y0,x1,y1=[0]*4
  for J in range(0,limit):
    rho=J/smooth
    r=sqrt(rho)
    s=r*-1
    x,y=r*cos(rho),r*sin(rho)
    x2,y2=s*cos(rho),s*sin(rho)
    punto_cartesiano(x,y,x0,y0,"red","green")
    punto_cartesiano(x2,y2,x1,y1,"blue","cyan")
    x0,y0,x1,y1=x,y,x2,y2

#main/UI:
U = Tk()
U.title("La espiral de Fermat")
l=Canvas(U,width=500,height=500,bg="white")
l.pack()
b1=Button(U,text="Zoom +",command=zoomin)
b1.pack(side=LEFT,padx=1,pady=1)
b2=Button(U,text="Zoom -",command=zoomout)
b2.pack(side=LEFT,padx=1,pady=1)
b3=Button(U,text="Smooth +",command=smoothup)
b3.pack(side=LEFT,padx=1,pady=1)
b4=Button(U,text="Smooth -",command=smoothdown)
b4.pack(side=LEFT,padx=1,pady=1)
b5=Button(U,text="A +",command=limitup)
b5.pack(side=LEFT,padx=1,pady=1)
b6=Button(U,text="A -",command=limitdown)
b6.pack(side=LEFT,padx=1,pady=1)
b7=Button(U,text="Reset",command=reset)
b7.pack(side=LEFT,padx=1,pady=1)
b8=Button(U,text="Salir",command=exit)
b8.pack(side=LEFT,padx=1,pady=1)


reset()