import sys

#define the variable I will use throughout the program
xcenter = 400
ycenter = 300
scale = 30

#convert an x value from cartesian coordinates to screen coordinates
def cartx(x):
	x = scale * x
	x = xcenter + x
	return x

#convert an x value from cartesian coordinates to screen coordinates
def carty(y):
	y = scale * y
	y = ycenter - y
	return y

#find the y value for the given a,b,c,d and x values
def formula(a,b,c,d,x):
	y = a*x**3 + b*x**2 + c*x + d
	return y

#Draw the curve defined by a,b,c and d from a beginning cartesian value to an end cartesian value
#approximating by delta cartesian units
def draw(a,b,c,d,begin,end,delta):
	x = begin
	while x < end:
		y = formula(a,b,c,d,x)
		y2 = formula(a,b,c,d,x+delta)

		print "line",cartx(x),carty(y),cartx(x+delta),carty(y2)		
	

		x = x + delta
	sys.stdout.flush()

#Draw Axes through the center
print "line",xcenter,0,xcenter,ycenter*2
print "line",0,ycenter,xcenter*2,ycenter

#label X axis
i = 13
while(i > 0):
	print "line",cartx(i),carty(0.25),cartx(i),carty(-0.25)
	print "line",cartx(-1*i),carty(0.25),cartx(-1*i),carty(-0.25)
	print "text",i,cartx(i),carty(-0.75),"label" + str(i),"center"
	print "text",-1*i,cartx(-1*i),carty(-0.75),"label" + str(-1*i),"center"
	i -= 1

#label Y axis
i = 10
while(i > 0):
	print "line",cartx(-.25),carty(i),cartx(.25),carty(i)
	print "line",cartx(-.25),carty(-1*i),cartx(.25),carty(-1*i)
	print "text",i,cartx(-1),carty(i-0.25)
	print "text",-1*i,cartx(-1),carty(-1*i-0.25)
	i -= 1	

#Assume we want the program to run the first time
answer = "yes"

#While the user wants to draw a curve
while answer == "yes":
	#Get a,b,c,d from user
	sys.stderr.write("input a:")
	a = input() # 0.0
	sys.stderr.write("input b:")
	b = input() # -0.1
	sys.stderr.write("input c:")
	c = input() # 0.0
	sys.stderr.write("input d:")
	d = input() #8.0

	#Where do we want our curve to start and end, how much do we want it to go up by
	begin = -14
	end = 14
	delta = 0.1

	#Draw Curve
	draw(a,b,c,d,begin,end,delta)

	#Ask if the user would like to draw another curve
	sys.stderr.write("Would you like to draw another? ")
	answer = raw_input()

sys.stdout.flush()