def test_best_rational_approximation(self):
assert {'n': 1, 'd': 10} == utils.best_rational_approximation("0.1")
assert {'n': 1, 'd': 100} == utils.best_rational_approximation("0.01")
assert {
'n': 1,
'd': 1000
} == utils.best_rational_approximation("0.001")
assert {
'n': 54301793,
'd': 100000
} == utils.best_rational_approximation("543.017930")
assert {
'n': 31969983,
'd': 100000
} == utils.best_rational_approximation("319.69983")
assert {'n': 93, 'd': 100} == utils.best_rational_approximation("0.93")
assert {'n': 1, 'd': 2} == utils.best_rational_approximation("0.5")
assert {
'n': 173,
'd': 100
} == utils.best_rational_approximation("1.730")
assert {
'n': 5333399,
'd': 6250000
} == utils.best_rational_approximation("0.85334384")
assert {'n': 11, 'd': 2} == utils.best_rational_approximation("5.5")
assert {
'n': 272783,
'd': 100000
} == utils.best_rational_approximation("2.72783")
assert {
'n': 638082,
'd': 1
} == utils.best_rational_approximation("638082.0")
assert {
'n': 36731261,
'd': 12500000
} == utils.best_rational_approximation("2.93850088")
assert {
'n': 1451,
'd': 25
} == utils.best_rational_approximation("58.04")
assert {
'n': 8253,
'd': 200
} == utils.best_rational_approximation("41.265")
assert {
'n': 12869,
'd': 2500
} == utils.best_rational_approximation("5.1476")
assert {
'n': 4757,
'd': 50
} == utils.best_rational_approximation("95.14")
assert {
'n': 3729,
'd': 5000
} == utils.best_rational_approximation("0.74580")
assert {
'n': 4119,
'd': 1
} == utils.best_rational_approximation("4119.0")
assert {
'n': 1,
'd': 100000000
} == utils.best_rational_approximation("0.00000001")
assert {
'n': 1,
'd': 1000000000
} == utils.best_rational_approximation("0.000000001")
assert {
'n': 1,
'd': 500000000
} == utils.best_rational_approximation("0.000000002")
assert {
'n': 3,
'd': 1000000000
} == utils.best_rational_approximation("0.000000003")
assert {
'n': 2147483647,
'd': 1
} == utils.best_rational_approximation("2147483647")
def test_best_rational_approximation_not_found_denominator(self):
with pytest.raises(Exception, match="Couldn't find approximation"):
utils.best_rational_approximation("0.0000000003")
def test_best_rational_approximation_not_found_numerator(self):
with pytest.raises(Exception, match="Couldn't find approximation"):
utils.best_rational_approximation("2147483648")
def test_best_rational_approximation_not_found_numerator(self):
utils.best_rational_approximation("2147483648")
def test_best_rational_approximation_not_found_denominator(self):
utils.best_rational_approximation("0.0000000003")
def test_best_rational_approximation_not_found_numerator(self):
utils.best_rational_approximation("2147483648")
def test_best_rational_approximation_not_found_denominator(self):
utils.best_rational_approximation("0.0000000003")
def test_best_rational_approximation(self):
assert {'n': 1, 'd': 10} == utils.best_rational_approximation("0.1")
assert {'n': 1, 'd': 100} == utils.best_rational_approximation("0.01")
assert {'n': 1, 'd': 1000} == utils.best_rational_approximation("0.001")
assert {'n': 54301793, 'd': 100000} == utils.best_rational_approximation("543.017930")
assert {'n': 31969983, 'd': 100000} == utils.best_rational_approximation("319.69983")
assert {'n': 93, 'd': 100} == utils.best_rational_approximation("0.93")
assert {'n': 1, 'd': 2} == utils.best_rational_approximation("0.5")
assert {'n': 173, 'd': 100} == utils.best_rational_approximation("1.730")
assert {'n': 5333399, 'd': 6250000} == utils.best_rational_approximation("0.85334384")
assert {'n': 11, 'd': 2} == utils.best_rational_approximation("5.5")
assert {'n': 272783, 'd': 100000} == utils.best_rational_approximation("2.72783")
assert {'n': 638082, 'd': 1} == utils.best_rational_approximation("638082.0")
assert {'n': 36731261, 'd': 12500000} == utils.best_rational_approximation("2.93850088")
assert {'n': 1451, 'd': 25} == utils.best_rational_approximation("58.04")
assert {'n': 8253, 'd': 200} == utils.best_rational_approximation("41.265")
assert {'n': 12869, 'd': 2500} == utils.best_rational_approximation("5.1476")
assert {'n': 4757, 'd': 50} == utils.best_rational_approximation("95.14")
assert {'n': 3729, 'd': 5000} == utils.best_rational_approximation("0.74580")
assert {'n': 4119, 'd': 1} == utils.best_rational_approximation("4119.0")
assert {'n': 1, 'd': 100000000} == utils.best_rational_approximation("0.00000001")
assert {'n': 1, 'd': 1000000000} == utils.best_rational_approximation("0.000000001")
assert {'n': 1, 'd': 500000000} == utils.best_rational_approximation("0.000000002")
assert {'n': 3, 'd': 1000000000} == utils.best_rational_approximation("0.000000003")
assert {'n': 2147483647, 'd': 1} == utils.best_rational_approximation("2147483647")