def test_continued_fraction():
pytest.raises(ValueError, lambda: cf_p(1, 0, 0))
pytest.raises(ValueError, lambda: cf_p(1, 1, -1))
assert cf_p(4, 3, 0) == [1, 3]
assert cf_p(0, 3, 5) == [0, 1, [2, 1, 12, 1, 2, 2]]
assert cf_p(1, 1, 0) == [1]
assert cf_p(3, 4, 0) == [0, 1, 3]
assert cf_p(4, 5, 0) == [0, 1, 4]
assert cf_p(5, 6, 0) == [0, 1, 5]
assert cf_p(11, 13, 0) == [0, 1, 5, 2]
assert cf_p(16, 19, 0) == [0, 1, 5, 3]
assert cf_p(27, 32, 0) == [0, 1, 5, 2, 2]
assert cf_p(1, 2, 5) == [[1]]
assert cf_p(0, 1, 2) == [1, [2]]
assert cf_p(6, 7, 49) == [1, 1, 6]
assert cf_p(3796, 1387, 0) == [2, 1, 2, 1, 4]
assert cf_p(3245, 10000) == [0, 3, 12, 4, 13]
assert cf_p(1932, 2568) == [0, 1, 3, 26, 2]
assert cf_p(6589, 2569) == [2, 1, 1, 3, 2, 1, 3, 1, 23]
assert list(itertools.islice(cf_i(Phi), 7)) == [1, 1, 1, 1, 1, 1, 1]
assert list(itertools.islice(cf_i(pi), 7)) == [3, 7, 15, 1, 292, 1, 1]
assert list(cf_i(Rational(17, 12))) == [1, 2, 2, 2]
assert list(cf_i(Rational(-17, 12))) == [-2, 1, 1, 2, 2]
assert list(cf_c([1, 6, 1, 8])) == [
Integer(1),
Rational(7, 6),
Rational(8, 7),
Rational(71, 62)
]
assert list(cf_c([2])) == [Integer(2)]
assert list(cf_c([1, 1, 1, 1, 1, 1, 1])) == [
1,
Integer(2),
Rational(3, 2),
Rational(5, 3),
Rational(8, 5),
Rational(13, 8),
Rational(21, 13)
]
assert list(cf_c([1, 6, Rational(
-1, 2), 4])) == [1, Rational(7, 6),
Rational(5, 4),
Rational(3, 2)]
assert cf_r([1, 6, 1, 8]) == Rational(71, 62)
assert cf_r([3]) == Integer(3)
assert cf_r([-1, 5, 1, 4]) == Rational(-24, 29)
assert (cf_r([0, 1, 1, 7, [24, 8]]) - (sqrt(3) + 2) / 7).expand() == 0
assert cf_r([1, 5, 9]) == Rational(55, 46)
assert (cf_r([[1]]) - (sqrt(5) + 1) / 2).expand() == 0
def test_continued_fraction():
pytest.raises(ValueError, lambda: cf_p(1, 0, 0))
pytest.raises(ValueError, lambda: cf_p(1, 1, -1))
assert cf_p(4, 3, 0) == [1, 3]
assert cf_p(0, 3, 5) == [0, 1, [2, 1, 12, 1, 2, 2]]
assert cf_p(1, 1, 0) == [1]
assert cf_p(3, 4, 0) == [0, 1, 3]
assert cf_p(4, 5, 0) == [0, 1, 4]
assert cf_p(5, 6, 0) == [0, 1, 5]
assert cf_p(11, 13, 0) == [0, 1, 5, 2]
assert cf_p(16, 19, 0) == [0, 1, 5, 3]
assert cf_p(27, 32, 0) == [0, 1, 5, 2, 2]
assert cf_p(1, 2, 5) == [[1]]
assert cf_p(0, 1, 2) == [1, [2]]
assert cf_p(6, 7, 49) == [1, 1, 6]
assert cf_p(3796, 1387, 0) == [2, 1, 2, 1, 4]
assert cf_p(3245, 10000) == [0, 3, 12, 4, 13]
assert cf_p(1932, 2568) == [0, 1, 3, 26, 2]
assert cf_p(6589, 2569) == [2, 1, 1, 3, 2, 1, 3, 1, 23]
def take(iterator, n=7):
res = []
for i, t in enumerate(cf_i(iterator)):
if i >= n:
break
res.append(t)
return res
assert take(Phi) == [1, 1, 1, 1, 1, 1, 1]
assert take(pi) == [3, 7, 15, 1, 292, 1, 1]
assert list(cf_i(Rational(17, 12))) == [1, 2, 2, 2]
assert list(cf_i(Rational(-17, 12))) == [-2, 1, 1, 2, 2]
assert list(cf_c([1, 6, 1, 8])) == [Integer(1), Rational(7, 6), Rational(8, 7), Rational(71, 62)]
assert list(cf_c([2])) == [Integer(2)]
assert list(cf_c([1, 1, 1, 1, 1, 1, 1])) == [1, Integer(2), Rational(3, 2), Rational(5, 3),
Rational(8, 5), Rational(13, 8), Rational(21, 13)]
assert list(cf_c([1, 6, Rational(-1, 2), 4])) == [1, Rational(7, 6), Rational(5, 4), Rational(3, 2)]
assert cf_r([1, 6, 1, 8]) == Rational(71, 62)
assert cf_r([3]) == Integer(3)
assert cf_r([-1, 5, 1, 4]) == Rational(-24, 29)
assert (cf_r([0, 1, 1, 7, [24, 8]]) - (sqrt(3) + 2)/7).expand() == 0
assert cf_r([1, 5, 9]) == Rational(55, 46)
assert (cf_r([[1]]) - (sqrt(5) + 1)/2).expand() == 0
def test_continued_fraction():
pytest.raises(ValueError, lambda: cf_p(1, 0, 0))
pytest.raises(ValueError, lambda: cf_p(1, 1, -1))
assert cf_p(4, 3, 0) == [1, 3]
assert cf_p(0, 3, 5) == [0, 1, [2, 1, 12, 1, 2, 2]]
assert cf_p(1, 1, 0) == [1]
assert cf_p(3, 4, 0) == [0, 1, 3]
assert cf_p(4, 5, 0) == [0, 1, 4]
assert cf_p(5, 6, 0) == [0, 1, 5]
assert cf_p(11, 13, 0) == [0, 1, 5, 2]
assert cf_p(16, 19, 0) == [0, 1, 5, 3]
assert cf_p(27, 32, 0) == [0, 1, 5, 2, 2]
assert cf_p(1, 2, 5) == [[1]]
assert cf_p(0, 1, 2) == [1, [2]]
assert cf_p(6, 7, 49) == [1, 1, 6]
assert cf_p(3796, 1387, 0) == [2, 1, 2, 1, 4]
assert cf_p(3245, 10000) == [0, 3, 12, 4, 13]
assert cf_p(1932, 2568) == [0, 1, 3, 26, 2]
assert cf_p(6589, 2569) == [2, 1, 1, 3, 2, 1, 3, 1, 23]
def take(iterator, n=7):
res = []
for i, t in enumerate(cf_i(iterator)):
if i >= n:
break
res.append(t)
return res
assert take(phi) == [1, 1, 1, 1, 1, 1, 1]
assert take(pi) == [3, 7, 15, 1, 292, 1, 1]
assert list(cf_i(Rational(17, 12))) == [1, 2, 2, 2]
assert list(cf_i(Rational(-17, 12))) == [-2, 1, 1, 2, 2]
assert list(cf_c([1, 6, 1, 8])) == [
Integer(1),
Rational(7, 6),
Rational(8, 7),
Rational(71, 62)
]
assert list(cf_c([2])) == [Integer(2)]
assert list(cf_c([1, 1, 1, 1, 1, 1, 1])) == [
S.One,
Integer(2),
Rational(3, 2),
Rational(5, 3),
Rational(8, 5),
Rational(13, 8),
Rational(21, 13)
]
assert list(cf_c(
[1, 6, Rational(-1, 2),
4])) == [S.One, Rational(7, 6),
Rational(5, 4),
Rational(3, 2)]
assert cf_r([1, 6, 1, 8]) == Rational(71, 62)
assert cf_r([3]) == Integer(3)
assert cf_r([-1, 5, 1, 4]) == Rational(-24, 29)
assert (cf_r([0, 1, 1, 7, [24, 8]]) - (sqrt(3) + 2) / 7).expand() == 0
assert cf_r([1, 5, 9]) == Rational(55, 46)
assert (cf_r([[1]]) - (sqrt(5) + 1) / 2).expand() == 0