#!/usr/bin/python
# -*- coding: utf8 -*-

from math import *
def f(x):
	return 3*x + 4

def fact(n):
	if (n==0): return 1;
	elif (n==1): return 1;
	else:	return n*fact(n-1);
	

def listagem():
	x = -10
	delta = 1
	epsilon = 0.1
	while(x < 10):
		print "x = ", x , "f(x) = ", f(x)*(1+epsilon)
		epsilon = -epsilon
		x = x + 1
#def	P(x,k):
#		y=0;
#		if (k > 17): return y;
#		else: 	
#			y = y + pow(-1.0,k)*pow(x,2*k+1)/fact(k);
#			P(x,k+2);

##def 	P(x):
#		y=0; k=0;
#		while( k <= 17):
#			y = y + pow(-1.0,k)*pow(x,k+1)/fact(k);
#			k = k + 2;
#		return y;

def 	P(x):
		y=0; k=0;
		while( k <= 14):
			y = y + pow(-1.0,k)*pow(x,2*k+1)/fact(2*k+1);
			k = k + 1;
	 	return y;	
pi = 3.1415926535897931;
##def Q(x):
	
def Sin(x):
	if (x > pi):
		x = x%pi;
	elif (x < -pi):
		y = -x;
		y = y%pi;
		x = -y;
	return P(x);

##def Cos(x):


print  Sin(3),"  ", sin(3),"  ", Sin(-5),"  ", sin(-5)

quit();
		
def listagem_gnuplot ():
	x = -10
	delta = 1
	epsilon = 0.1
	while(x < 10):
		print  x ,  f(x)*(1+epsilon)
		epsilon = -epsilon
		x = x + 1		


def	frase():
	for nome in ["O ", " meu ",  " nome ", " é ", " tarcisio."]:
		print nome

##listagem()	
listagem_gnuplot()

temp = 40

if temp < 0:
    print 'Congelando...'
elif 0 <= temp <= 20:
        print 'Frio'
elif 21 <= temp <= 25:
            print 'Normal'
elif 26 <= temp <= 35:
                print 'Quente'
else:
                    print 'Muito quente!'