def test_setters():
"""vector property setters"""
v = Vector(1,2,3)
v.x = 4
assert v.x==4 and v.y==2 and v.z==3
v.y = 5
assert v.x==4 and v.y==5 and v.z==3
v.z = 6
assert v.x==4 and v.y==5 and v.z==6
def test_equality():
"""vector equality"""
# exact equality
v1 = Vector(1,2,3)
v2 = Vector(1,2,3)
assert v1==v2
v2.z = 1
assert v1!=v2
v2.z = 3
v2.y = 3
assert v1!=v2
v2.y = 2
v2.x = 2
assert v1!=v2
v2.x = 1
assert v1==v2
# approximate equality
v1 = Vector(1,2,3)
v2 = Vector(1,2,3)
assert v1.approx(v2)
v2.z = 1
assert not v1.approx(v2)
v2.z = 3
v2.y = 3
assert not v1.approx(v2)
v2.y = 2
v2.x = 2
assert not v1.approx(v2)
v2.x = 1
assert v1.approx(v2)
# tolerance checking in all directions
assert Vector(0,0,0).approx(Vector(0.000001,0,0),0.00001)
assert Vector(0,0,0).approx(Vector(0,0.000001,0),0.00001)
assert Vector(0,0,0).approx(Vector(0,0,0.000001),0.00001)
# tolerance checking over multiple tolerances
assert Vector(0,0,0).approx(Vector(0.000001,0,0),0.01)
assert Vector(0,0,0).approx(Vector(0.000001,0,0),0.001)
assert Vector(0,0,0).approx(Vector(0.000001,0,0),0.0001)
assert Vector(0,0,0).approx(Vector(0.000001,0,0),0.00001)
assert not Vector(0,0,0).approx(Vector(0.000001,0,0),0.000001)
assert not Vector(0,0,0).approx(Vector(0.000001,0,0),0.0000001)
assert not Vector(0,0,0).approx(Vector(0.000001,0,0),0.00000001)
