def test_angle_between():
v1 = Vector(0, 1)
v2 = Vector(1, 1)
angle = v1.angle_between(v2)
assert is_close(angle, math.pi / 4)
# reverse order, same result
angle = v2.angle_between(v1)
assert is_close(angle, math.pi / 4)
def test_spatial_angle():
v = Vector(3, 3, 0)
assert is_close(v.spatial_angle_deg, 45)
assert is_close(v.spatial_angle_rad, math.radians(45))
def test_get_angle():
v = Vector(3, 3)
assert is_close(v.angle_deg, 45)
assert is_close(v.angle_rad, math.radians(45))
def test_angle_deg():
assert is_close(Vector(0, 1).angle_deg, 90)
assert is_close(Vector(0, -1).angle_deg, -90)
assert is_close(Vector(1, 1).angle_deg, 45)
assert is_close(Vector(-1, 1).angle_deg, 135)
def test_dot_product():
v1 = Vector(2, 7, 1)
v2 = Vector(3, 9, 8)
assert is_close(v1.dot(v2), 77)
def test_magnitude_square():
v = Vector(3, 4, 5)
assert is_close(v.magnitude_square, 50)
def test_magnitude():
v = Vector(3, 4, 5)
assert is_close(abs(v), 7.0710678118654755)
assert is_close(v.magnitude, 7.0710678118654755)