from sage.all import *
class Encrypter(object):
    publicKey = []
    """docstring for ClassName"""
    def __init__(self, baseNumber):
        super(Encrypter, self).__init__()
        self.baseNumber = baseNumber
        self.privateKey = 0
        self.sum = 0
        self.generatePrivateKey()
        self.generatePublicKey()

    def generatePrivateKey(self):
        flag = False
        while flag == False:
            privateKey = randrange(10000, 2147483648)
            if gcd(privateKey, self.baseNumber) == 1:
                flag = True
                self.privateKey = privateKey

    def generatePublicKey(self):
        count = 100
        sum = 0
        for i in xrange(0, count):
            e = randrange(2147483648) % self.baseNumber
            mult = randrange(2,5)
            aKey = self.privateKey * mult + e * self.baseNumber
            sum += aKey
            self.publicKey.append(aKey)
        self.sum = sum

    def encrypt(self, openText):
        b = 0
        randomValue = 0
        for i in xrange(0,100):
            randomValue = randrange(0,2)
            if randomValue == 1:
                b = b + self.publicKey[i]
        cipherText = b + openText
        return cipherText

    def decrypt(self, cipherText):
        while cipherText < 0:
            cipherText += self.privateKey
        openText = cipherText % self.privateKey
        return openText % self.baseNumber

#main
encrypter = Encrypter(3000)

number1 = 30
number2 = 50

code1 = encrypter.encrypt(number1)
print(code1)
code2 = encrypter.encrypt(number2)
print(code2)

resultCode = code1 + code2
print(resultCode)

resultNumber = encrypter.decrypt(resultCode)
print(resultNumber)