def substitution(self, nr, base):
'''
the substitution method
in: ->nr: number type
->base:an integer number
out: the result (a number type)
'''
res = Number("0", base)
need = Number("", base)
a1 = []
if need.stringToInt(nr.get_number()) < base:
#if the number is smaller than the base then it is a digit for this base
res.set_number(
self.op.intToString(need.stringToInt(nr.get_number())))
else:
a1 = need.digits(nr.get_number())
p = 0
need = Number("", 10)
while a1 != []:
copy = p
strBase = self.op.intToString(nr.get_base())
power = '1'
while copy != 0:
power = self.op.mulNumbers(power, strBase, base).get_number()
copy -= 1
digit = a1[-1]
product = self.op.mulNumbers(power, digit, base)
p += 1
res.set_number(
self.op.addNumbers(res.get_number(), product.get_number(),
base).get_number())
a1 = a1[:-1]
return res
def testNumber():
nr=Number("100",2)
assert nr.get_number()=="100"
assert nr.get_base()==2
nr.set_number("12")
assert nr.get_number()=="12"
nr.set_base(10)
assert nr.get_base()==10
nr2=Number("12",10)
assert nr==nr2
array=nr.digits(nr.get_number())
assert array==["1","2"]
char='A'
assert nr.modifyChar(char)==10
assert nr.stringToInt(char)==10
char="1"
assert nr.stringToInt(char)==1