Created
May 30, 2013 23:20
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#!/usr/bin/env python | |
import math,os,sys | |
def clear(): | |
os.system('cls' if os.name=='nt' else 'clear') | |
def init(): | |
clear() | |
print "Binomial Theorem\n" | |
print "(aX^b+cY^d)^e" | |
def get_int(prompt): | |
print prompt | |
result = 0 | |
while result == 0: | |
try: | |
result = input("> ") | |
except NameError: | |
pass | |
return result | |
def get_str(prompt): | |
print prompt | |
result = raw_input("> ") | |
return result | |
def create_variable(letter): | |
co = get_int("Enter Coefficient On %s" % letter.upper()) | |
exp = get_int("Enter Exponent On %s" % letter.upper()) | |
return (co, exp) | |
def nCr(n,r): | |
f = math.factorial | |
return f(n)/(f(n-r)*f(r)) | |
def gen_term(x,y,degree,t): | |
t = t-1 | |
coefficient = nCr(degree,t) | |
xpower = degree-t | |
ypower = t | |
xcoefficient = x[0]**xpower | |
xexponent = x[1]*xpower | |
ycoefficient = y[0]**ypower | |
yexponent = y[1]*ypower | |
total_coefficient = coefficient*xcoefficient*ycoefficient | |
result = "" | |
if total_coefficient == 0: | |
result = "0" | |
return result | |
elif total_coefficient > 1: | |
result = "(%s)" % total_coefficient | |
if xexponent == 1: | |
result = "%s(X)" % result | |
elif xexponent > 1: | |
result = "%s(X^%d)" % (result,xexponent) | |
if yexponent == 1: | |
result = "%s(Y)" % result | |
elif yexponent > 1: | |
result = "%s(Y^%d)" % (result,yexponent) | |
return result | |
def format_binomial(x,y,degree): | |
result = "(" | |
if x[0] != 0 and x[1] != 0: | |
if x[0] != 1: | |
result = "%s%dX" % (result,x[0]) | |
else: | |
result = "%sX" % (result) | |
if x[1] != 1: | |
result = "%s^%d" % (result,x[1]) | |
result = "%s + " % result | |
if y[0] != 0 and y[1] != 0: | |
if y[0] != 1: | |
result = "%s%dY" % (result,y[0]) | |
else: | |
result = "%sY" % (result) | |
if y[1] != 1: | |
result = "%s^%d" % (result,y[1]) | |
result = "%s)" % result | |
if degree > 1: | |
result = "%s^%d" % (result,degree) | |
return result | |
def main(): | |
init() | |
if len(sys.argv) == 6: | |
x = (int(sys.argv[1]),int(sys.argv[2])) | |
y = (int(sys.argv[3]),int(sys.argv[4])) | |
degree = int(sys.argv[5]) | |
else: | |
x = create_variable("X") | |
y = create_variable("Y") | |
degree = get_int("Enter Degree") | |
print format_binomial(x,y,degree),"=", | |
for t in range(1,degree+2): | |
print gen_term(x,y,degree,t), | |
if t != degree+1: | |
print "+", | |
if __name__ == '__main__': | |
main() |
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Without the function