def to_dictionary(self):
b = Box([x])
b.Add(y)
b.Add(z, 2, 5)
d = dict(b)
self.assertEqual(d[y], Interval())
self.assertEqual(d[z], Interval(2, 5))
def test_math_functions(self):
# Simply show that we can call the functions.
i1 = Interval(0.1, 0.3)
i2 = Interval(0.2, 0.4)
print(sqr(i1))
print(sqrt(i1))
print(pow(i1, 2))
print(pow(i1, 2.5))
print(pow(i1, Interval(1, 2)))
print(root(i1, 2))
print(exp(i1))
print(log(i1))
print(cos(i1))
print(tan(i1))
print(sin(i1))
print(acos(i1))
print(asin(i1))
print(atan(i1))
print(atan2(i1, i2))
print(cosh(i1))
print(sinh(i1))
print(tanh(i1))
print(abs(i1))
print(max(i1, i2))
print(min(i1, i2))
print(sign(i1))
print(integer(i1))
def test_max_diam(self):
b = Box([x, y])
b[x] = Interval(0.1, 0.2)
b[y] = Interval(1, 2)
(diam, idx) = b.MaxDiam()
self.assertEqual(idx, 1)
self.assertEqual(b[idx].diam(), 1)
def test_div2(self):
i = Interval(-10, 10)
out = Interval()
result = i.div2_inter(Interval(2, 3), Interval(-1, 2), out)
self.assertEqual(result, True)
self.assertEqual(i, Interval(-10, -2))
self.assertEqual(out, Interval(1, 10))
def test_addition(self):
i1 = Interval(3, 4)
i2 = Interval(4, 5)
self.assertEqual(i1 + i2, Interval(7, 9))
self.assertEqual(i1 + 1, Interval(4, 5))
self.assertEqual(1 + i1, Interval(4, 5))
i1 += i2
self.assertEqual(i1, Interval(7, 9))
i1 += 1
self.assertEqual(i1, Interval(8, 10))
def test_subtraction(self):
i1 = Interval(3, 4)
i2 = Interval(4, 5)
self.assertEqual(i1 - i2, Interval(-2, 0))
self.assertEqual(i1 - 1, Interval(2, 3))
self.assertEqual(1 - i1, Interval(-3, -2))
i1 -= i2
self.assertEqual(i1, Interval(-2, 0))
i1 -= 1
self.assertEqual(i1, Interval(-3, -1))
def test_multiplication(self):
i1 = Interval(3, 4)
i2 = Interval(4, 5)
self.assertEqual(i1 * i2, Interval(12, 20))
self.assertEqual(i1 * 2, Interval(6, 8))
self.assertEqual(2 * i1, Interval(6, 8))
i1 *= i2
self.assertEqual(i1, Interval(12, 20))
i1 *= 2
self.assertEqual(i1, Interval(24, 40))
def test_contains(self):
i = Interval(2, 3)
self.assertTrue(i.contains(2.5))
self.assertTrue(i.interior_contains(2.5))
self.assertTrue(2.5 in i)
self.assertFalse(i.contains(3.5))
self.assertFalse(3.5 in i)
self.assertFalse(i.interior_contains(2))
def test_division(self):
i1 = Interval(3, 4)
i2 = Interval(4, 5)
self.assertEqual(i1 / i2, Interval(3.0 / 5.0, 4.0 / 4.0))
self.assertEqual(i1 / 2, Interval(1.5, 2.0))
self.assertAlmostEqual((2 / i1).lb(), 2 / 4.0)
self.assertAlmostEqual((2 / i1).ub(), 2 / 3.0)
i1 /= i2
self.assertEqual(i1, Interval(3.0 / 5.0, 4.0 / 4.0))
i1 /= 2
self.assertEqual(i1, Interval(3.0 / 10.0, 4.0 / 8.0))
def test_inplace_union(self):
b1 = Box([x, y])
b1[x] = Interval(1, 3)
b1[y] = Interval(1, 2)
b2 = Box([x, y])
b2[x] = Interval(2, 4)
b2[y] = Interval(3, 5)
b2.InplaceUnion(b1)
self.assertEqual(b2[x], Interval(1, 4))
self.assertEqual(b2[y], Interval(1, 5))
def test_keys_values_items(self):
b = Box([x])
b.Add(y)
b.Add(z, 2, 5)
self.assertEqual(b.keys(), [x, y, z])
self.assertEqual(
b.values(),
[Interval(-inf, inf),
Interval(-inf, inf),
Interval(2, 5)])
self.assertEqual(b.items(), [(x, Interval(-inf, inf)),
(y, Interval(-inf, inf)),
(z, Interval(2, 5))])
def test_eq_neq(self):
i1 = Interval(3, 4)
i2 = Interval(3, 5)
i3 = Interval(3, 4)
self.assertNotEqual(i1, i2)
self.assertEqual(i1, i3)
def test_to_string(self):
i = Interval(3, 4)
self.assertEqual(str(i), "[3, 4]")
self.assertEqual(repr(i), "Interval(3, 4)")
def test_empty(self):
i = Interval(3, 4)
self.assertFalse(i.is_empty())
i.set_empty()
self.assertTrue(i.is_empty())
def test_intersection(self):
i1 = Interval(2, 5)
i2 = Interval(3, 8)
self.assertEqual(i1 & i2, Interval(3, 5))
i2 &= i1
self.assertEqual(i2, Interval(3, 5))
def test_add(self):
b = Box([x])
b.Add(y)
b.Add(z, 2, 5)
self.assertEqual(b[y], Interval())
self.assertEqual(b[z], Interval(2, 5))
def test_constructor(self):
i1 = Interval()
self.assertEqual(i1.lb(), -inf)
self.assertEqual(i1.ub(), +inf)
i2 = Interval(3, 4)
self.assertEqual(i2.lb(), 3)
self.assertEqual(i2.ub(), 4)
i3 = Interval(5)
self.assertEqual(i3.lb(), 5)
self.assertEqual(i3.ub(), 5)
def test_union(self):
i1 = Interval(2, 5)
i2 = Interval(3, 8)
self.assertEqual(i1 | i2, Interval(2, 8))
i2 |= i1
self.assertEqual(i2, Interval(2, 8))
def test_get_set_item_variable(self):
b = Box([x, y, z])
b[x] = Interval(3, 4)
self.assertEqual(b[x], Interval(3, 4))
def test_get_set_item_int(self):
b = Box([x, y, z])
self.assertEqual(b.variable(0), x)
b[0] = Interval(3, 4)
self.assertEqual(b[0], Interval(3, 4))
def test_mid_rad_diam(self):
i = Interval(0, 1)
self.assertEqual(i.mid(), 0.5)
self.assertEqual(i.rad(), 0.5)
self.assertEqual(i.diam(), 0.5 * 2)
def test_bisect(self):
(i1, i2) = Interval(-10, 10).bisect(0.5)
self.assertEqual(i1, Interval(-10, 0))
self.assertEqual(i2, Interval(0, 10))
def test_diff(self):
i1 = Interval()
i2 = Interval()
Interval(1, 10).diff(Interval(2, 5), i1, i2, True)
self.assertEqual(i1, Interval(1, 2))
self.assertEqual(i2, Interval(5, 10))
def test_mig_mag(self):
i = Interval(2, 3)
self.assertEqual(i.mig(), 2)
self.assertEqual(i.mag(), 3)
def test_distance(self):
i1 = Interval(2, 3)
i2 = Interval(4, 5)
self.assertEqual(i1.rel_distance(i2), 2)
def test_unary_minus(self):
i = Interval(3, 4)
self.assertEqual(-i, Interval(-4, -3))
def test_inflate(self):
i = Interval(2, 5)
i.inflate(1)
self.assertEqual(i, Interval(1, 6))
i.inflate(2, 3)
self.assertEqual(i, Interval(-4.5, 11.5))
def test_complementary(self):
i1 = Interval()
i2 = Interval()
Interval(2, 3).complementary(i1, i2, True)
self.assertEqual(i1, Interval(-inf, 2))
self.assertEqual(i2, Interval(3, inf))
def test_inclusions(self):
i1 = Interval(2, 3)
i2 = Interval(4, 5)
i3 = Interval(1, 6)
i4 = Interval(2, 4)
self.assertTrue(i1.is_subset(i3))
self.assertFalse(i1.is_strict_subset(i1))
self.assertFalse(i1.is_interior_subset(i4))
self.assertFalse(i1.is_relative_interior_subset(i4))
self.assertFalse(i1.is_strict_interior_subset(i2))
self.assertTrue(i3.is_superset(i1))
self.assertTrue(i3.is_strict_superset(i1))
self.assertTrue(i1.intersects(i4))
self.assertTrue(i1.overlaps(i4))
self.assertTrue(i1.is_disjoint(i2))
self.assertFalse(i1.is_degenerated())
self.assertFalse(i1.is_unbounded())
self.assertTrue(i1.is_bisectable())