def test_cross_product():
u = Vec3(2, 3, 4)
v = Vec3(5, 6, 7)
cross = u.cross(v)
assert cross.x == -3
assert cross.y == 6
assert cross.z == -3
def test_element_wise_division():
v = Vec3(4, 8, 12)
w = Vec3(2, 4, 3)
u = v / w
assert u.x == 2
assert u.y == 2
assert u.z == 4
def test_inplace_subtract():
v = Vec3(-3, 11, -5.5)
v -= Vec3(1, 1, 1)
assert v.x == -4
assert v.y == 10
assert v.z == -6.5
def test_inplace_add():
v = Vec3(-3, 11, -5.5)
v += Vec3(1, 1, 1)
assert v.x == -2
assert v.y == 12
assert v.z == -4.5
def test_element_wise_multiplication():
a = Vec3(1, 2, 3)
b = Vec3(4, 5, 7)
c = a * b
assert c.x == 4
assert c.y == 10
assert c.z == 21
def test_subtract():
a = Vec3(1, 2, 3)
b = Vec3(3, 2, 1)
c = a - b
assert c != a
assert c != b
assert c.x == -2
assert c.y == 0
assert c.z == 2
def test_add():
a = Vec3(1, 2, 3)
b = Vec3(3, 2, 1)
c = a + b
assert c != a
assert c != b
assert c.x == 4
assert c.y == 4
assert c.z == 4
def test_scaling():
v = Vec3(2, 5, 7)
u = v * 5
assert u.x == 10
assert u.y == 25
assert u.z == 35
def test_inplace_division():
v = Vec3(-3, 11, -2)
v /= 2
assert v.x == -1.5
assert v.y == 5.5
assert v.z == -1
def test_inplace_multiplication():
v = Vec3(-3, 11, -2)
v *= 2
assert v.x == -6
assert v.y == 22
assert v.z == -4
def test_negation():
v = Vec3(1, 3, 7)
neg_v = -v
assert neg_v.x == -1
assert neg_v.y == -3
assert neg_v.z == -7
neg_neg_v = -neg_v
assert neg_neg_v.x == 1
assert neg_neg_v.y == 3
assert neg_neg_v.z == 7
def test_subscript():
v = Vec3(-5, 7, 1)
assert v[0] == v.x
assert v[1] == v.y
assert v[2] == v.z
def test_division():
v = Vec3(3, 6, 9)
u = v / 3
assert u.x == 1
assert u.y == 2
assert u.z == 3
def test_length():
v = Vec3(1, 1, 1)
assert v.length() == sqrt(3)
def test_unit_vector():
u = Vec3(2, 4, 7)
n = u.unit_vector()
assert abs(n.x - 0.24077171) < 0.0000001
assert abs(n.y - 0.48154341) < 0.0000001
assert abs(n.z - 0.84270097) < 0.0000001
def test_dot_product():
v = Vec3(1, 2, 3)
assert v.dot(v) == (1 * 1) + (2 * 2) + (3 * 3)