def test_union(i_a, i_b, i_c):
assert i_a.union(i_b) == IntervalFactory.two_values(1, 5)
assert i_b.union(i_c) == IntervalFactory.two_values(2, 7)
with pytest.raises(ArithmeticError, match="do not intersect"):
i_a.union(i_c)
def test_get_alpha_cut(fn_a: FuzzyNumber):
assert fn_a.get_alpha_cut(0) == IntervalFactory.two_values(1, 3)
assert fn_a.get_alpha_cut(0.25) == IntervalFactory.two_values(1.25, 2.75)
assert fn_a.get_alpha_cut(0.5) == IntervalFactory.two_values(1.5, 2.5)
assert fn_a.get_alpha_cut(0.75) == IntervalFactory.two_values(1.75, 2.25)
assert fn_a.get_alpha_cut(1) == IntervalFactory.two_values(2, 2)
def test_intersection(i_a: Interval, i_b: Interval, i_c: Interval):
assert i_a.intersection(i_b) == IntervalFactory.two_values(2, 3)
assert i_b.intersection(i_c) == IntervalFactory.two_values(4, 5)
with pytest.raises(ArithmeticError, match="do not intersect"):
i_a.intersection(i_c)
def test_pow(i_a: Interval, i_d: Interval):
assert i_a**2 == IntervalFactory.two_values(1, 9)
assert i_a**3 == IntervalFactory.two_values(1, 27)
assert i_d**2 == IntervalFactory.two_values(0, 9)
assert i_d**3 == IntervalFactory.two_values(-8, 27)
def test_mul(i_a: Interval, i_b: Interval):
assert i_a * 2 == IntervalFactory.two_values(i_a.min * 2, i_a.max * 2)
assert 2 * i_a == IntervalFactory.two_values(i_a.min * 2, i_a.max * 2)
assert i_a * i_b == IntervalFactory.two_values(i_a.min * i_b.min,
i_a.max * i_b.max)
with pytest.raises(TypeError, match="multiply sequence"):
i_a * "str"
"str" * i_a
def test_sub(i_a: Interval, i_b: Interval):
assert i_a - 1 == IntervalFactory.two_values(i_a.min - 1, i_a.max - 1)
assert 1 - i_a == IntervalFactory.two_values(1 - i_a.min, 1 - i_a.max)
assert i_a - i_b == IntervalFactory.two_values(i_a.min - i_b.max,
i_a.max - i_b.min)
with pytest.raises(TypeError, match="unsupported operand"):
i_a - "str"
"str" - i_a
def test_creation_errors():
with pytest.raises(TypeError, match="must be a list"):
FuzzyNumber(1, [])
with pytest.raises(TypeError, match="must be a list"):
FuzzyNumber([], 1)
with pytest.raises(
ValueError,
match="Lists `alphas` and `alpha_cuts` must be of same length."):
FuzzyNumber([1, 2, 3], [1, 2])
with pytest.raises(ValueError,
match="All elements of `alphas` must be from range"):
FuzzyNumber([0, 0.5, 1, 1.1], [None] * 4)
with pytest.raises(ValueError,
match="All elements of `alphas` must be int or float"):
FuzzyNumber([0, 0.5, 1, "1.1"], [None] * 4)
with pytest.raises(ValueError, match="Values in `alphas` are not unique"):
FuzzyNumber([0, 0.5, 1, 0.5], [None] * 4)
with pytest.raises(ValueError,
match="`alphas` must contain both 0 and 1 alpha value"):
FuzzyNumber([0, 0.5, 0.9], [None] * 3)
with pytest.raises(ValueError,
match="`alphas` must contain both 0 and 1 alpha value"):
FuzzyNumber([0.1, 0.5, 1], [None] * 3)
with pytest.raises(TypeError,
match="All elements of `alpha_cuts` must be Interval"):
FuzzyNumber([0, 1], [IntervalFactory.two_values(0, 1), 5])
with pytest.raises(
ValueError,
match=
"Interval on lower alpha level has to contain the higher level alpha cuts"
):
FuzzyNumber([0, 1], [
IntervalFactory.two_values(0, 1),
IntervalFactory.two_values(2, 2)
])
with pytest.raises(ValueError, match="The fuzzy number is invalid"):
FuzzyNumberFactory.triangular(5, 4, 3)
with pytest.raises(ValueError, match="The fuzzy number is invalid"):
FuzzyNumberFactory.trapezoidal(5, 1, 4, 3)
def test_add(i_a: Interval, i_b: Interval, i_e: Interval):
assert i_a + 1 == IntervalFactory.two_values(i_a.min + 1, i_a.max + 1)
assert 1 + i_a == IntervalFactory.two_values(i_a.min + 1, i_a.max + 1)
assert i_a + i_b == IntervalFactory.two_values(i_a.min + i_b.min,
i_a.max + i_b.max)
assert i_a + i_e == IntervalFactory.two_values(i_a.min + i_e.min,
i_a.max + i_e.max)
with pytest.raises(TypeError, match="unsupported operand"):
i_a + "str"
"str" + i_a
def test_mid_point():
a = IntervalFactory.two_values(1, 2)
assert a.mid_point == 1.5
b = IntervalFactory.midpoint_width(2, 2)
assert b.mid_point == 2
def test_contains():
interval = IntervalFactory.infimum_supremum(1, 5)
assert 2 in interval
assert 1 in interval
assert 3.59 in interval
assert (0.999999 in interval) is False
assert (5.0001 in interval) is False
assert (IntervalFactory.two_values(6, 7) in interval) is False
assert (IntervalFactory.two_values(0, 3) in interval) is False
assert IntervalFactory.two_values(2, 4) in interval
with pytest.raises(TypeError, match="Cannot test if object of type "):
"str" in interval
True in interval
def test_truediv(i_a: Interval, i_b: Interval, i_d: Interval):
assert i_a / 2 == IntervalFactory.two_values(i_a.min / 2, i_a.max / 2)
assert 2 / i_a == IntervalFactory.two_values(2 / i_a.min, 2 / i_a.max)
assert i_a / i_b == IntervalFactory.two_values(i_a.min / i_b.max,
i_a.max / i_b.min)
with pytest.raises(TypeError, match="unsupported operand"):
i_a / "str"
with pytest.raises(ArithmeticError, match="Cannot divide by 0"):
i_a / 0
with pytest.raises(ArithmeticError,
match="Cannot divide by interval that contains `0`"):
i_a / i_d
def test_creation():
assert isinstance(IntervalFactory.infimum_supremum(1, 3), Interval)
assert isinstance(IntervalFactory.infimum_supremum(2, 5), Interval)
assert isinstance(IntervalFactory.infimum_supremum(4, 7), Interval)
assert isinstance(IntervalFactory.infimum_supremum(-2, 3), Interval)
assert isinstance(IntervalFactory.infimum_supremum(-1, 1), Interval)
assert isinstance(IntervalFactory.empty(), Interval)
interval = IntervalFactory.two_values(1.0000000000001,
3.000000009,
precision=2)
assert interval == IntervalFactory.two_values(1, 3, precision=2)
interval = IntervalFactory.parse_string("[1, 2.5]")
assert interval.min == 1
assert interval.max == 2.5
def test_apply_function(i_a: Interval, i_b: Interval):
# position argument not supported by the function
with pytest.raises(TypeError, match="too many positional arguments"):
i_a.apply_function(math.log2, 5)
# keyword argument that does not exist
with pytest.raises(TypeError,
match="got an unexpected keyword argument 'c'"):
i_a.apply_function(math.log2, c=5)
assert i_a.apply_function(math.log2).min == pytest.approx(
math.log2(i_a.min), 0.00001)
assert i_a.apply_function(math.log2).max == pytest.approx(
math.log2(i_a.max), 0.00001)
assert i_b.apply_function(math.cos).min == pytest.approx(-1, 0.00001)
assert i_b.apply_function(math.cos).max == pytest.approx(0.28366, 0.00001)
assert i_a.apply_function(
math.pow, 2, number_elements=10) == IntervalFactory.two_values(1, 9)
def test_neg(i_a: Interval, i_d: Interval):
assert -i_a == IntervalFactory.two_values(i_a.min * (-1), i_a.max * (-1))
assert -i_d == IntervalFactory.two_values(i_d.min * (-1), i_d.max * (-1))
def test_union_hull(i_a: Interval, i_c: Interval):
assert i_a.union_hull(i_c) == IntervalFactory.two_values(1, 7)