def test_operators_number(self):
m = Matrix44.identity()
fv = np.empty((1,), dtype=[('i', np.int16, 1),('f', np.float32, 1)])
fv[0] = (2, 2.0)
# add
self.assertTrue(np.array_equal(m + 1.0, matrix44.create_identity()[:] + 1.0))
self.assertTrue(np.array_equal(m + 1, matrix44.create_identity()[:] + 1.0))
self.assertTrue(np.array_equal(m + np.float(1.), matrix44.create_identity()[:] + 1.0))
self.assertTrue(np.array_equal(m + fv[0]['f'], matrix44.create_identity()[:] + 2.0))
self.assertTrue(np.array_equal(m + fv[0]['i'], matrix44.create_identity()[:] + 2.0))
# subtract
self.assertTrue(np.array_equal(m - 1.0, matrix44.create_identity()[:] - 1.0))
self.assertTrue(np.array_equal(m - 1, matrix44.create_identity()[:] - 1.0))
self.assertTrue(np.array_equal(m - np.float(1.), matrix44.create_identity()[:] - 1.0))
self.assertTrue(np.array_equal(m - fv[0]['f'], matrix44.create_identity()[:] - 2.0))
self.assertTrue(np.array_equal(m - fv[0]['i'], matrix44.create_identity()[:] - 2.0))
# multiply
self.assertTrue(np.array_equal(m * 2.0, matrix44.create_identity()[:] * 2.0))
self.assertTrue(np.array_equal(m * 2, matrix44.create_identity()[:] * 2.0))
self.assertTrue(np.array_equal(m * np.float(2.), matrix44.create_identity()[:] * 2.0))
self.assertTrue(np.array_equal(m * fv[0]['f'], matrix44.create_identity()[:] * 2.0))
self.assertTrue(np.array_equal(m * fv[0]['i'], matrix44.create_identity()[:] * 2.0))
# divide
self.assertTrue(np.array_equal(m / 2.0, matrix44.create_identity()[:] / 2.0))
self.assertTrue(np.array_equal(m / 2, matrix44.create_identity()[:] / 2.0))
self.assertTrue(np.array_equal(m / np.float(2.), matrix44.create_identity()[:] / 2.0))
self.assertTrue(np.array_equal(m / fv[0]['f'], matrix44.create_identity()[:] / 2.0))
self.assertTrue(np.array_equal(m / fv[0]['i'], matrix44.create_identity()[:] / 2.0))
def test_operators_matrix44(self):
m1 = Matrix44.identity()
m2 = Matrix44.from_x_rotation(0.5)
# add
self.assertTrue(
np.array_equal(
m1 + m2,
matrix44.create_identity() +
matrix44.create_from_x_rotation(0.5)))
# subtract
self.assertTrue(
np.array_equal(
m1 - m2,
matrix44.create_identity() -
matrix44.create_from_x_rotation(0.5)))
# multiply
self.assertTrue(
np.array_equal(
m1 * m2,
matrix44.multiply(matrix44.create_identity(),
matrix44.create_from_x_rotation(0.5))))
# divide
self.assertRaises(ValueError, lambda: m1 / m2)
# inverse
self.assertTrue(
np.array_equal(
~m2, matrix44.inverse(matrix44.create_from_x_rotation(0.5))))
def test_create_from_matrix44(self):
m1 = Matrix44.identity()
m = Matrix33.from_matrix44(m1)
self.assertTrue(np.array_equal(m, np.eye(3)))
m = Matrix33(m1)
self.assertTrue(np.array_equal(m, np.eye(3)))
def test_create_from_matrix44(self):
m1 = Matrix44.identity()
m = Matrix33.from_matrix44(m1)
self.assertTrue(np.array_equal(m, np.eye(3)))
m = Matrix33(m1)
self.assertTrue(np.array_equal(m, np.eye(3)))
def test_operators_matrix44(self):
m1 = Matrix44.identity()
m2 = Matrix44.from_x_rotation(0.5)
# add
self.assertTrue(np.array_equal(m1 + m2, matrix44.create_identity() + matrix44.create_from_x_rotation(0.5)))
# subtract
self.assertTrue(np.array_equal(m1 - m2, matrix44.create_identity() - matrix44.create_from_x_rotation(0.5)))
# multiply
self.assertTrue(np.array_equal(m1 * m2, matrix44.multiply(matrix44.create_from_x_rotation(0.5), matrix44.create_identity())))
# divide
self.assertRaises(ValueError, lambda: m1 / m2)
# inverse
self.assertTrue(np.array_equal(~m2, matrix44.inverse(matrix44.create_from_x_rotation(0.5))))
# ==
self.assertTrue(Matrix44() == Matrix44())
self.assertFalse(Matrix44() == Matrix44([1. for n in range(16)]))
# !=
self.assertTrue(Matrix44() != Matrix44([1. for n in range(16)]))
self.assertFalse(Matrix44() != Matrix44())
def test_operators_number(self):
m = Matrix44.identity()
fv = np.empty((1,), dtype=[('i', np.int16, 1),('f', np.float32, 1)])
fv[0] = (2, 2.0)
# add
self.assertTrue(np.array_equal(m + 1.0, matrix44.create_identity()[:] + 1.0))
self.assertTrue(np.array_equal(m + 1, matrix44.create_identity()[:] + 1.0))
self.assertTrue(np.array_equal(m + np.float(1.), matrix44.create_identity()[:] + 1.0))
self.assertTrue(np.array_equal(m + fv[0]['f'], matrix44.create_identity()[:] + 2.0))
self.assertTrue(np.array_equal(m + fv[0]['i'], matrix44.create_identity()[:] + 2.0))
# subtract
self.assertTrue(np.array_equal(m - 1.0, matrix44.create_identity()[:] - 1.0))
self.assertTrue(np.array_equal(m - 1, matrix44.create_identity()[:] - 1.0))
self.assertTrue(np.array_equal(m - np.float(1.), matrix44.create_identity()[:] - 1.0))
self.assertTrue(np.array_equal(m - fv[0]['f'], matrix44.create_identity()[:] - 2.0))
self.assertTrue(np.array_equal(m - fv[0]['i'], matrix44.create_identity()[:] - 2.0))
# multiply
self.assertTrue(np.array_equal(m * 2.0, matrix44.create_identity()[:] * 2.0))
self.assertTrue(np.array_equal(m * 2, matrix44.create_identity()[:] * 2.0))
self.assertTrue(np.array_equal(m * np.float(2.), matrix44.create_identity()[:] * 2.0))
self.assertTrue(np.array_equal(m * fv[0]['f'], matrix44.create_identity()[:] * 2.0))
self.assertTrue(np.array_equal(m * fv[0]['i'], matrix44.create_identity()[:] * 2.0))
# divide
self.assertTrue(np.array_equal(m / 2.0, matrix44.create_identity()[:] / 2.0))
self.assertTrue(np.array_equal(m / 2, matrix44.create_identity()[:] / 2.0))
self.assertTrue(np.array_equal(m / np.float(2.), matrix44.create_identity()[:] / 2.0))
self.assertTrue(np.array_equal(m / fv[0]['f'], matrix44.create_identity()[:] / 2.0))
self.assertTrue(np.array_equal(m / fv[0]['i'], matrix44.create_identity()[:] / 2.0))
def test_operators_vector4(self):
m = Matrix44.identity()
v = Vector4([1,1,1,1])
# add
self.assertRaises(ValueError, lambda: m + v)
# subtract
self.assertRaises(ValueError, lambda: m - v)
# multiply
self.assertTrue(np.array_equal(m * v, matrix44.apply_to_vector(matrix44.create_identity(), [1,1,1,1])))
# divide
self.assertRaises(ValueError, lambda: m / v)
def test_operators_matrix33(self):
m1 = Matrix44.identity()
m2 = Matrix33.from_x_rotation(0.5)
# add
self.assertTrue(np.array_equal(m1 + m2, matrix44.create_identity() + matrix44.create_from_x_rotation(0.5)))
# subtract
self.assertTrue(np.array_equal(m1 - m2, matrix44.create_identity() - matrix44.create_from_x_rotation(0.5)))
# multiply
self.assertTrue(np.array_equal(m1 * m2, matrix44.multiply(matrix44.create_identity(), matrix44.create_from_x_rotation(0.5))))
# divide
self.assertRaises(ValueError, lambda: m1 / m2)
def test_operators_vector4(self):
m = Matrix44.identity()
v = Vector4([1,1,1,1])
# add
self.assertRaises(ValueError, lambda: m + v)
# subtract
self.assertRaises(ValueError, lambda: m - v)
# multiply
self.assertTrue(np.array_equal(m * v, matrix44.apply_to_vector(matrix44.create_identity(), [1,1,1,1])))
# divide
self.assertRaises(ValueError, lambda: m / v)
def test_operators_quaternion(self):
m = Matrix44.identity()
q = Quaternion.from_x_rotation(0.7)
# add
self.assertRaises(ValueError, lambda: m + q)
# subtract
self.assertRaises(ValueError, lambda: m - q)
# multiply
self.assertTrue(np.array_equal(m * q, matrix44.multiply(matrix44.create_identity(), matrix44.create_from_quaternion(quaternion.create_from_x_rotation(0.7)))))
# divide
self.assertRaises(ValueError, lambda: m / q)
def test_operators_quaternion(self):
m = Matrix44.identity()
q = Quaternion.from_x_rotation(0.7)
# add
self.assertRaises(ValueError, lambda: m + q)
# subtract
self.assertRaises(ValueError, lambda: m - q)
# multiply
self.assertTrue(np.array_equal(m * q, matrix44.multiply(matrix44.create_from_quaternion(quaternion.create_from_x_rotation(0.7)), matrix44.create_identity())))
# divide
self.assertRaises(ValueError, lambda: m / q)
def test_identity(self):
m = Matrix44.identity()
self.assertTrue(np.array_equal(m, np.eye(4)))
def test_matrix44(self):
m1 = Matrix44.identity() * Matrix44.from_x_rotation(0.5)
m = m1.matrix44
self.assertTrue(m1 is m)
def test_inverse(self):
m1 = Matrix44.identity() * Matrix44.from_x_rotation(0.5)
m = m1.inverse
self.assertTrue(np.array_equal(m, matrix44.inverse(m1)))
def test_matrix33(self):
m1 = Matrix44.identity() * Matrix44.from_x_rotation(0.5)
m = m1.matrix33
self.assertTrue(np.array_equal(m, matrix33.create_from_matrix44(m1)))
def test_inverse(self):
m1 = Matrix44.identity() * Matrix44.from_x_rotation(0.5)
m = m1.inverse
self.assertTrue(np.array_equal(m, matrix44.inverse(m1)))
def test_matrix33(self):
m1 = Matrix44.identity() * Matrix44.from_x_rotation(0.5)
m = m1.matrix33
self.assertTrue(np.array_equal(m, matrix33.create_from_matrix44(m1)))
def test_identity(self):
m = Matrix44.identity()
self.assertTrue(np.array_equal(m, np.eye(4)))
def test_matrix44(self):
m1 = Matrix44.identity() * Matrix44.from_x_rotation(0.5)
m = m1.matrix44
self.assertTrue(m1 is m)
