def test_number(self):
src = "123"
col = simplify(src)
self.assertEqual(col, 123)
src = "-123"
col = simplify(src)
self.assertEqual(col, -123)
src = "1/2"
col = simplify(src)
self.assertEqual(col, fraction(1, 2))
src = "-1/2"
col = simplify(src)
self.assertEqual(col, fraction(-1, 2))
src = "1.5"
col = simplify(src)
self.assertEqual(col, 1.5)
src = ".5"
col = simplify(src)
self.assertEqual(col, 0.5)
src = "1."
col = simplify(src)
self.assertEqual(col, 1.0)
src = "-1.5"
col = simplify(src)
self.assertEqual(col, -1.5)
src = "-.5"
col = simplify(src)
self.assertEqual(col, -0.5)
src = "-1."
col = simplify(src)
self.assertEqual(col, -1.0)
src = "8+1j"
col = simplify(src)
self.assertEqual(col, complex("8+1j"))
src = "3+i"
col = simplify(src)
self.assertEqual(col, complex("3+j"))
src = "-1.1+2j"
col = simplify(src)
self.assertEqual(col, complex("-1.1+2j"))
def test_number(self):
src = "123"
stmt, env = compile_expr(src)
self.assertEqual(stmt(), 123)
src = "-123"
stmt, env = compile_expr(src)
self.assertEqual(stmt(), -123)
src = "1/2"
stmt, env = compile_expr(src)
self.assertEqual(stmt(), fraction(1, 2))
src = "-1/2"
stmt, env = compile_expr(src)
self.assertEqual(stmt(), fraction(-1, 2))
src = "1.5"
stmt, env = compile_expr(src)
self.assertEqual(stmt(), 1.5)
src = ".5"
stmt, env = compile_expr(src)
self.assertEqual(stmt(), 0.5)
src = "1."
stmt, env = compile_expr(src)
self.assertEqual(stmt(), 1.0)
src = "-1.5"
stmt, env = compile_expr(src)
self.assertEqual(stmt(), -1.5)
src = "-1."
stmt, env = compile_expr(src)
self.assertEqual(stmt(), -1.0)
src = "8+1j"
stmt, env = compile_expr(src)
self.assertEqual(stmt(), complex("8+1j"))
src = "3+i"
stmt, env = compile_expr(src)
self.assertEqual(stmt(), complex("3+j"))
src = "-1.1+2j"
stmt, env = compile_expr(src)
self.assertEqual(stmt(), complex("-1.1+2j"))
def main():
product = 1
for denominator in range(10+1, 100):
for numerator in range(10, denominator):
if is_digit_cancelling_fraction(numerator, denominator):
product *= fraction(numerator, denominator)
print product.denominator
def is_digit_cancelling_fraction(num, denom):
str_num, str_denom = str(num), str(denom)
frac = None
try:
if str_num[0] == str_denom[0] != '0':
frac = fraction(int(str_num[1]), int(str_denom[1]))
elif str_num[0] == str_denom[1] != '0':
frac = fraction(int(str_num[1]), int(str_denom[0]))
elif str_num[1] == str_denom[0] != '0':
frac = fraction(int(str_num[0]), int(str_denom[1]))
elif str_num[1] == str_denom[1] != '0':
frac = fraction(int(str_num[0]), int(str_denom[0]))
except ZeroDivisionError:
pass
if frac == fraction(num, denom):
return True
return False
def cal_faction(sequence, extend):
sequence += extend
length = len(extend)
nround = length-1
frac = fraction(sequence[length-1], 1)
for i in range(nround):
frac = one_round(sequence[length-2-i], frac)
return frac
def main():
round = 1000
count = 0
num = fraction(3,2)
for i in range(1,round):
num = sr_deduction(num)
if is_longer(num):
count += 1
print count
def _as_fraction(s):
# this will raise a type error if s cannot be parsed into a
# fraction
s = fraction(s)
# the fraction type cannot be stored in a const pool, so we have
# to turn it into a source form of (fraction NUMERATOR
# DENOMINATOR) instead. We take the integer values from the
# parsing attempt above, so that we end up with integers in the
# const pool rather than the literal string, which should make for
# faster instantiation of the fraction (parsing once at compile
# rather than parsing over and over every time we evaluate this
# code)
return cons(_symbol_fraction, s.numerator, s.denominator, nil)
def test_fraction(self):
self.setup(Fraction, default=fraction('8/1'), allow_none=False)
self.commons(FractionVariable)
self.assertEqual(self.obj.prop1, fraction('8/1'))
self.assertRaises(NoneError, setattr, self.obj, 'prop1', None)
self.obj.prop2 = None
self.assertEqual(self.obj.prop2, None)
self.obj.prop1 = fraction('1.20')
self.assertEqual(self.obj.prop1, fraction('6/5'))
self.obj.prop1 = fraction('1.40')
self.assertEqual(self.obj.prop1, fraction('7/5'))
self.assertRaises(TypeError, setattr, self.obj, 'prop1', 1)
def simplify(self, positions):
return fraction(self.token)
def main():
e = gen_e_constant(100)
result = fraction(e[len(e)-1], 1)
for iter in range(len(e)-2, -1, -1):
result = one_round(e[iter], result)
print sum([int(k) for k in str(result.numerator)])
def generate_continued_fraction():
result = 1
while True:
result = fraction(1 + 1 / (1 + result))
yield result
print('x1 : {0}'.format(x_1))
print('x2 : {0}'.format(x_2))
if __name__ == "__main__":
a = (input('enter a :'))
b = (input('enter b :'))
c = (input('enter c :'))
roots = (float(a),float(b),float(c))
# fraction calculator
from fractions import fraction
def add(a,b):
print('result of addition:{0}'.format(a+b))
if __name__ = '__main__':
a = fraction(input('enter the first fraction'))
b = fraction(input('enter the second fraction'))
op = input('operation to perform - add,subtract,division,multiply: ')
if op == 'add':
add(a,b)
# even odd vending machine
def even_odd_vend(num):
if (num%2) == 0:
print('even')
else:
print('odd')
count = 1
while count <=9:
num+=2
print(num)
from time import clock
from fractions import Fraction as fraction
start = clock()
i = fraction(1, 2)
count = 0
answer = 0
for x in range(1000):
i = fraction(1, 2 + i)
a, b = str(1 + i).split('/')
if len(a) > len(b):
answer += 1
end = clock()
print answer
print end - start