def test__volume__then_scalar_triple_product(self):
# when
result = Vector3D.volume(Vector3D(1.5, -4.0, -3.5),
Vector3D(9.0, -2.5, 8.5),
Vector3D(1.0, -1.0, 1.0))
# then
assert_that(result).is_close_to(33.75, self.OFFSET)
def test__op_imul__then_multiply_each_coordinate():
# given
vector = Vector3D(5.4, 9.0, -12.3)
# when
vector *= 3
# then
assert_that(vector).is_equal_to(Vector3D(16.2, 27.0, -36.9))
def test__op_iadd__then_add_each_coordinate():
# given
vector = Vector3D(5.4, 9.0, -12.3)
# when
vector += Vector3D(7.9, -8.1, 1.4)
# then
assert_that(vector).is_equal_to(Vector3D(13.3, 0.9, -10.9))
def test__op_itruediv__then_divide_each_coordinate():
# given
vector = Vector3D(5.4, 9.0, -12.3)
# when
vector /= 3
# then
assert_that(vector).is_equal_to(Vector3D(1.8, 3.0, -4.1))
def test__op_isub__then_subtract_each_coordinate():
# given
vector = Vector3D(5.4, 9.0, -12.3)
# when
vector -= Vector3D(7.9, -8.1, 1.4)
# then
assert_that(vector).is_equal_to(Vector3D(-2.5, 17.1, -13.7))
def test__volume__when_orthogonal__then_zero(self):
# when
result = Vector3D.volume(Vector3D(3.0, 3.0, 3.0),
Vector3D(1.0, 0.0, 1.0),
Vector3D(0.0, -2.0, 0.0))
# then
assert_that(result).is_close_to(0.0, self.OFFSET)
def test__volume__when_parallel__then_zero(self):
# when
result = Vector3D.volume(Vector3D(3.0, 3.0, 3.0),
Vector3D(-8.0, -8.0, -8.0),
Vector3D(2.0, -2.0, 2.0))
# then
assert_that(result).is_close_to(0.0, self.OFFSET)
def test__op_pos__then_copied():
# given
vector = Vector3D(5.4, 9.0, -12.3)
# when
result = +vector
# then
assert_that(result).is_not_same_as(vector)
assert_that(result).is_equal_to(Vector3D(5.4, 9.0, -12.3))
def test__translate__when_zero_vector__then_same_point():
# given
point = Point3D(13.5, 6.5, -4.2)
# when
result = translate(point, Vector3D(0.0, 0.0, 0.0))
# then
assert_that(result).is_equal_to(point)
def test__coordinates__then_triple_of_coordinates():
# when
result = Vector3D(5.0, -19.0, 14.2).coordinates
# then
assert_that(result).is_equal_to((5.0, -19.0, 14.2))
def test__op_mul__when_multiplication_by_zero__then_zero_vector():
# when
result = Vector3D(5.4, 9.0, -12.3) * 0
# then
assert_that(result).is_equal_to(Vector3D(0.0, 0.0, 0.0))
def test__between__then_vector_from_begin_to_end():
# when
result = Vector3D.between(Point3D(2.4, 7.8, -10.3),
Point3D(-1.5, 13.2, 15.8))
# then
assert_that(result).is_equal_to(Vector3D(-3.9, 5.4, 26.1))
def test__op_sub__then_subtract_each_coordinate():
# when
result = Vector3D(5.4, 9.0, -12.3) - Vector3D(7.9, -8.1, 1.4)
# then
assert_that(result).is_equal_to(Vector3D(-2.5, 17.1, -13.7))
def test__op_neg__then_negate_each_coordinate():
# when
result = -Vector3D(5.4, 9.0, -12.3)
# then
assert_that(result).is_equal_to(Vector3D(-5.4, -9.0, 12.3))
def test__op_add__then_add_each_coordinate():
# when
result = Vector3D(5.4, 9.0, -12.3) + Vector3D(7.9, -8.1, 1.4)
# then
assert_that(result).is_equal_to(Vector3D(13.3, 0.9, -10.9))
def test__cross__then_cross_product():
# when
result = Vector3D.cross(Vector3D(1.5, -4.0, -3.5),
Vector3D(9.0, -2.5, 8.5))
# then
assert_that(result).is_equal_to(Vector3D(-42.75, -44.25, 32.25))
def test__dot__then_scalar_product(self):
# when
result = Vector3D.dot(Vector3D(1.5, -4.0, -3.5),
Vector3D(9.0, -2.5, 8.5))
# then
assert_that(result).is_close_to(-6.25, self.OFFSET)
def function(n):
return Vector3D(1.0, 1.0, 1.0) / n
def test__op_rmul__then_multiply_each_coordinate():
# when
result = 3 * Vector3D(5.4, 9.0, -12.3)
# then
assert_that(result).is_equal_to(Vector3D(16.2, 27.0, -36.9))
def test__length__then_length_of_vector(self):
# when
result = Vector3D(18.0, -6.0, 13.0).length
# then
assert_that(result).is_close_to(23.0, self.OFFSET)
def test__area__then_length_of_cross_product(self):
# when
result = Vector3D.area(Vector3D(1.5, -4.0, -3.5),
Vector3D(9.0, -2.5, 8.5))
# then
assert_that(result).is_close_to(69.46716850426538, self.OFFSET)
def test__cross__when_parallel__then_zero():
# when
result = Vector3D.cross(Vector3D(3.0, 3.0, 3.0),
Vector3D(-8.0, -8.0, -8.0))
# then
assert_that(result).is_equal_to(Vector3D(0.0, 0.0, 0.0))
def test__translate__then_point_translated():
# when
result = translate(Point3D(13.7, 6.5, -4.2), Vector3D(-10.4, 3.3, 1.1))
# then
assert_that(result).is_equal_to(Point3D(3.3, 9.8, -3.1))
def test__op_truediv__then_divide_each_coordinate():
# when
result = Vector3D(5.4, 9.0, -12.3) / 3
# then
assert_that(result).is_equal_to(Vector3D(1.8, 3.0, -4.1))