import math
import random
from Tkinter import *

cx=250
cy=350
radius=200
pfaces=9
rotAngle=45
psize=25
pwidth=3
pcolors=['red','blue','green','yellow','magenta','cyan','orange','purple','sea green']

def poly():
	angle = rotAngle * 3.14159265 / 180
	angleInc = 2 * 3.14159265 /pfaces
	for k in range(pfaces):
		canvas.create_line(cx,cy,radius * math.cos(angle)+cx,radius * math.sin(angle)+cy, fill = 'gray20', tag = 'radius')
		canvas.create_line(radius * math.cos(angle-angleInc)+cx,radius * math.sin(angle-angleInc)+cy,radius * math.cos(angle)+cx,radius * math.sin(angle)+cy, fill = pcolors[k], tag = 'border')
		angle+=angleInc
def paddle(n,pos):
	angle = rotAngle * 3.14159265 / 180
	angleInc = 2 * 3.14159265 /pfaces
	angle += angleInc*n
	ax=radius * math.cos(angle-angleInc)+cx
	ay=radius * math.sin(angle-angleInc)+cy
	bx=radius * math.cos(angle)+cx
	by=radius * math.sin(angle)+cy
	canvas.create_line(
	ax+pos*(bx-ax)/100,
	ay+pos*(by-ay)/100,
	ax+(pos+psize)*(bx-ax)/100,
	ay+(pos+psize)*(by-ay)/100,
	width=pwidth, fill = pcolors[n], tag = 'paddle')
def intersec(n):
	#now is useless, for debugging then
	angle = rotAngle * 3.14159265 / 180
	angleInc = 2 * 3.14159265 /pfaces
	angle += angleInc*n
	slope=(radius * math.sin(angle)-radius * math.sin(angle-angleInc))/(radius * math.cos(angle)-radius * math.cos(angle-angleInc))
	canvas.create_line(cx+radius,cy,cx-radius,cy+(-2*radius * slope), fill = pcolors[n], tag = 'trace')
	
win = Tk()
canvas = Canvas(win, width=600, height=600, background='black')
canvas.pack()

#debugtext
angle = rotAngle * 3.14159265 / 180
angleInc = 2 * 3.14159265 /pfaces
canvas.create_text(radius * math.cos(angle-angleInc)+cx-10,radius * math.sin(angle-angleInc)+cy-10, tag = 'debugtext', text = 'n=0 a', fill='blue')
canvas.create_text(radius * math.cos(angle)+cx-10,radius * math.sin(angle)+cy-10, tag = 'debugtext', text = 'n=0 b', fill='blue')
angle+=2*angleInc
canvas.create_text(radius * math.cos(angle-angleInc)+cx-10,radius * math.sin(angle-angleInc)+cy-10, tag = 'debugtext', text = 'n=2 a', fill='blue')
canvas.create_text(radius * math.cos(angle)+cx-10,radius * math.sin(angle)+cy-10, tag = 'debugtext', text = 'n=2 b', fill='blue')
#debugtext end
poly()
paddle(0,50)
paddle(1,50)
paddle(2,50)
paddle(3,50)
paddle(4,50)
paddle(5,50)

bsize=5
bspeed=3
bangle=2 * 3.14159265 * random.random()
bangle=2 * 3.14159265 * 0.09
bx=math.cos(bangle)*bspeed
by=math.sin(bangle)*bspeed
canvas.create_line(cx,cy,2* radius * math.cos(bangle)+cx,2* radius * math.sin(bangle)+cy, fill = 'brown', tag = 'trace')
canvas.create_oval(cx-bsize/2, cy-bsize/2, cx+bsize/2, cy+bsize/2, fill = 'firebrick', tag = 'ball')

#eq traj eq			y=by/bx *x
#eq traj eq			y=math.tan(bangle) *x
canvas.create_line(cx,cy,cx+radius,cy+radius * math.tan(bangle), fill = 'chocolate', tag = 'trace')

sloa=math.tan(bangle)
inta=cy+radius * math.tan(bangle)-sloa*(cx+radius)

n=0
angle = rotAngle * 3.14159265 / 180
angleInc = 2 * 3.14159265 /pfaces
angle += angleInc*n
slob=(radius * math.sin(angle)-radius * math.sin(angle-angleInc))/(radius * math.cos(angle)-radius * math.cos(angle-angleInc))
intb=cy-slob*(cx+radius)

#canvas.create_line(0,intb,600,slob*600+intb, fill = 'pink', tag = 'trace', width=5)


xx=(intb-inta)/(sloa-slob)
yy=intb+xx*slob

xxx=xx
yyy=yy

canvas.create_oval(xx-bsize, yy-bsize, xx+bsize, yy+bsize, fill = 'red', tag = 'ball2')


#so far so good!!!

sloa=1/sloa
inta=yy-sloa*(xx)
canvas.create_line(xx,yy,xx-300,yy-300*sloa, fill = 'chocolate', tag = 'trace')
#canvas.create_line(0,inta,600,sloa*600+inta, fill = 'pink', tag = 'trace', width=5)


n=6
angle = rotAngle * 3.14159265 / 180
angleInc = 2 * 3.14159265 /pfaces
angle += angleInc*n
slob=(radius * math.sin(angle)-radius * math.sin(angle-angleInc))/(radius * math.cos(angle)-radius * math.cos(angle-angleInc))
intb=((radius * math.sin(angle)+cy))-slob*(radius * math.cos(angle)+cx)
#canvas.create_line(0,intb,600,slob*600+intb, fill = 'pink', tag = 'trace', width=5)
#canvas.create_line(0,yy,600,yy, fill = 'pink', tag = 'trace', width=1)
#canvas.create_line(xx,0,xx,600, fill = 'pink', tag = 'trace', width=1)
xx=(intb-inta)/(sloa-slob)
yy=intb+xx*slob
canvas.create_oval(xx-bsize, yy-bsize, xx+bsize, yy+bsize, fill = 'red', tag = 'ball2')


#so far so good!!!


sloa=-1*sloa
inta=yy-sloa*(xx)
canvas.create_line(xx,yy,xx-300,yy-300*sloa, fill = 'chocolate', tag = 'trace')
#canvas.create_line(0,inta,600,sloa*600+inta, fill = 'pink', tag = 'trace', width=5)


n=3
angle = rotAngle * 3.14159265 / 180
angleInc = 2 * 3.14159265 /pfaces
angle += angleInc*n
slob=(radius * math.sin(angle)-radius * math.sin(angle-angleInc))/(radius * math.cos(angle)-radius * math.cos(angle-angleInc))
intb=((radius * math.sin(angle)+cy))-slob*(radius * math.cos(angle)+cx)
#canvas.create_line(0,intb,600,slob*600+intb, fill = 'pink', tag = 'trace', width=5)
#canvas.create_line(0,yy,600,yy, fill = 'pink', tag = 'trace', width=1)
#canvas.create_line(xx,0,xx,600, fill = 'pink', tag = 'trace', width=1)
xx=(intb-inta)/(sloa-slob)
yy=intb+xx*slob
canvas.create_oval(xx-bsize, yy-bsize, xx+bsize, yy+bsize, fill = 'red', tag = 'ball2')


sloa=sloa/3
inta=yy-sloa*(xx)
canvas.create_line(xx,yy,xx+500,yy+500*sloa, fill = 'chocolate', tag = 'trace')
#canvas.create_line(0,inta,600,sloa*600+inta, fill = 'pink', tag = 'trace', width=5)


n=7
angle = rotAngle * 3.14159265 / 180
angleInc = 2 * 3.14159265 /pfaces
angle += angleInc*n
slob=(radius * math.sin(angle)-radius * math.sin(angle-angleInc))/(radius * math.cos(angle)-radius * math.cos(angle-angleInc))
intb=((radius * math.sin(angle)+cy))-slob*(radius * math.cos(angle)+cx)
#canvas.create_line(0,intb,600,slob*600+intb, fill = 'pink', tag = 'trace', width=5)
#canvas.create_line(0,yy,600,yy, fill = 'pink', tag = 'trace', width=1)
#canvas.create_line(xx,0,xx,600, fill = 'pink', tag = 'trace', width=1)
xx=(intb-inta)/(sloa-slob)
yy=intb+xx*slob
canvas.create_oval(xx-bsize, yy-bsize, xx+bsize, yy+bsize, fill = 'red', tag = 'ball2')


#
#
#
#
#
#
#v1 = v - 2 * (v(dot)n) * n


bsize=5
bspeed=3
bangle=2 * 3.14159265 * random.random()
bangle=2 * 3.14159265 * 0.09
bx=math.cos(bangle)*bspeed
by=math.sin(bangle)*bspeed
#canvas.create_line(cx,cy,2* radius * math.cos(bangle)+cx,2* radius * math.sin(bangle)+cy, fill = 'PeachPuff3', tag = 'trace')

n=0
angle = rotAngle * 3.14159265 / 180
angleInc = 2 * 3.14159265 /pfaces
angle += angleInc*n
slob=(radius * math.sin(angle)-radius * math.sin(angle-angleInc))/(radius * math.cos(angle)-radius * math.cos(angle-angleInc))
intb=cy-slob*(cx+radius)

bangle=bangle+3.14159265+(2 * 3.14159265 /pfaces)
canvas.create_line(xxx,yyy,2* radius * math.cos(bangle)+xxx,2* radius * math.sin(bangle)+yyy, fill = 'PeachPuff3', tag = 'trace')



for k in range(100):
	canvas.move('ball', bx, by)
	canvas.update()
	canvas.after(40)
	#canvas.delete('win')
	


#
#for k in range(90):
#	poly()


win.mainloop()