def test0033(self):
from id_0033 import gcd, is_curious
self.assertEqual(gcd(15, 10), 5)
self.assertEqual(gcd(21, 10), 1)
self.assertEqual(gcd(21, 15), 3)
self.assertEqual(gcd(8, 3), 1)
self.assertEqual(gcd(1264, 465), 1)
self.assertEqual(is_curious((49, 98)), True)
def generate_fraction(lst):
f = Fraction(lst[-1], 1)
for i in range(len(lst) - 2, -1, -1):
n = lst[i]
f = n + 1/f
n = f.numerator
d = f.denominator
nd = gcd(d, n)
n = n/nd
d = d/nd
f = Fraction(n, d)
#print f, n, d, nd
return f
def continued_fraction_sqrt(n):
a = 1
b = 0
m = 1
s = int(sqrt(n))
while True:
l = (a*s + b)/m
yield l
b = b - l*m
aa = m*a
bb = -m*b
m = n*a*a - b*b
a = aa
b = bb
am = gcd(a, m)
bm = gcd(b, m)
abm = gcd(am, bm)
if abm > 1:
a = a/abm
b = b/abm
m = m/abm
if m == 0:
raise StopIteration
def relatively_prime(n, m):
return gcd(n, m) == 1
#
# Przemyslaw Kaminski <*****@*****.**>
# Time-stamp: <>
######################################################################
#from fractions import Fraction
from id_0033 import gcd
if __name__ == '__main__':
M = 10**6
d = 2
# look for proper fractions close and less-than 3/7
#fr = Fraction(0, 1)
# tolerance
tol = 5*10**-5
best_n = 0
best_d = 1
best_num = 0.
while True:
for n in range(3*d/7 - 2, 3*d/7 + 1):
num = float(n)/float(d)
if num < 3./7 and best_num < num:
best_n = n
best_d = d
best_num = num
print "New best approximation found: n = %d, d = %d, n/d = %f" % (n, d, num)
if d == M:
break
d += 1
g = gcd(best_n, best_d)
print "The fraction: n/d = %d/%d" % (best_n/g, best_d/g)