def test_te_secant(self):
"Test Taylor expansion of secant(var)"
x = Variable('x')
self.assertEqual(te_secant(x, 1), 1 + x**2/2.)
self.assertEqual(te_secant(x, 2), 1 + x**2/2. + 5*x**4/24.)
self.assertEqual(te_secant(x, 0), 1)
# make sure x was not modified
self.assertEqual(x, Variable('x'))
# try for VectorVariable too
y = VectorVariable(3, 'y')
self.assertEqual(te_secant(y, 1), 1 + y**2/2.)
self.assertEqual(te_secant(y, 2), 1 + y**2/2. + 5*y**4/24.)
self.assertEqual(te_secant(y, 0), 1)
# make sure y was not modified
self.assertEqual(y, VectorVariable(3, 'y'))
def test_te_secant(self):
"Test Taylor expansion of secant(var)"
x = Variable('x')
self.assertEqual(te_secant(x, 1), 1 + x**2 / 2)
a = te_secant(x, 2)
b = 1 + x**2 / 2 + 5 * x**4 / 24
self.assertTrue(
all([abs(val) <= 1e-10 for val in (a.hmap - b.hmap).values()])) # pylint:disable=no-member
self.assertEqual(te_secant(x, 0), 1)
# make sure x was not modified
self.assertEqual(x, Variable('x'))
# try for VectorVariable too
y = VectorVariable(3, 'y')
self.assertTrue(te_secant(y, 0) == 1) # truthy bc monomial constraint
self.assertTrue(all(te_secant(y, 1) == 1 + y**2 / 2))
self.assertTrue(all(te_secant(y, 2) == 1 + y**2 / 2 + 5 * y**4 / 24))
# make sure y was not modified
self.assertEqual(y, VectorVariable(3, 'y'))
_ = te_secant(x, 13) # to trigger the extension
def test_te_secant(self):
"Test Taylor expansion of secant(var)"
x = Variable('x')
self.assertEqual(te_secant(x, 1), 1 + x**2 / 2.)
a = te_secant(x, 2)
b = 1 + x**2 / 2. + 5 * x**4 / 24.
self.assertTrue(
all([abs(val) <= 1e-10 for val in (a.hmap - b.hmap).values()])) # pylint:disable=no-member
self.assertEqual(te_secant(x, 0), 1)
# make sure x was not modified
self.assertEqual(x, Variable('x'))
# try for VectorVariable too
y = VectorVariable(3, 'y')
self.assertEqual(te_secant(y, 1), 1 + y**2 / 2.)
self.assertEqual(te_secant(y, 2), 1 + y**2 / 2. + 5 * y**4 / 24.)
self.assertEqual(te_secant(y, 0), 1)
# make sure y was not modified
self.assertEqual(y, VectorVariable(3, 'y'))