def test_power(self):
x = Variable(3)
y = Variable(3)
self.assertFalse(x.is_constant())
self.assertTrue(x.is_affine())
self.assertTrue(x.is_quadratic())
with warnings.catch_warnings():
warnings.simplefilter("ignore")
s = power(x.T * y, 0)
self.assertTrue(s.is_constant())
self.assertTrue(s.is_affine())
self.assertTrue(s.is_quadratic())
t = power(x - y, 1)
self.assertFalse(t.is_constant())
self.assertTrue(t.is_affine())
self.assertTrue(t.is_quadratic())
u = power(x + 2 * y, 2)
self.assertFalse(u.is_constant())
self.assertFalse(u.is_affine())
self.assertTrue(u.is_quadratic())
self.assertTrue(u.is_dcp())
w = (x + 2 * y)**2
self.assertFalse(w.is_constant())
self.assertFalse(w.is_affine())
self.assertTrue(w.is_quadratic())
self.assertTrue(w.is_dcp())
def test_matrix_multiplication(self):
x = Variable((3, 5))
y = Variable((3, 5))
self.assertFalse(x.is_constant())
self.assertTrue(x.is_affine())
self.assertTrue(x.is_quadratic())
with warnings.catch_warnings():
warnings.simplefilter("ignore")
s = x.T * y
self.assertFalse(s.is_constant())
self.assertFalse(s.is_affine())
self.assertTrue(s.is_quadratic())
self.assertFalse(s.is_dcp())
