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product.py
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product.py
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from sortedcontainers import SortedList
import primefac
from gmpy2 import mpfr
class Rational:
def __init__(self):
self.numerator = SortedList()
self.denominator = SortedList()
def multiply_by(self,f):
self.numerator.update(primefac.primefac(f))
def divide_by(self,d):
self.denominator.update(primefac.primefac(d))
def value(self):
if len(self.numerator) == 0 or len(self.denominator) == 0:
return None
numerator_index = 0
denominator_index = 0
while numerator_index < len(self.numerator) and denominator_index < len(self.denominator):
if self.numerator[numerator_index] == self.denominator[denominator_index]:
del self.numerator[numerator_index]
del self.denominator[denominator_index]
elif self.numerator[numerator_index] < self.denominator[denominator_index]:
numerator_index += 1
else:
denominator_index += 1
self.numerator.add(1)
self.denominator.add(1)
num_product = reduce(lambda x, y: mpfr(x)*y, self.numerator)
den_product = reduce(lambda x, y: mpfr(x)*y, self.denominator)
if num_product <= 0 or den_product <= 0:
return 0
val = num_product/den_product
if val > 1:
return 1
return val
if __name__ == "__main__":
r = Rational()
r.multiply_by(2)
r.multiply_by(3)
r.multiply_by(4)
r.divide_by(3)
r.divide_by(50)
print r.numerator
print r.denominator
print r.value()