def runTest(self):
n = 4
nvals = n * (n + 1) // 2
hess = Hessian(n)
self.assertEqual(hess.shape(), (nvals, ),
'Wrong shape for initialisation')
self.assertEqual(hess.dim(), n, 'Wrong dimension')
self.assertEqual(len(hess), nvals, 'Wrong length')
self.assertTrue(np.all(hess.upper_triangular() == np.zeros((nvals, ))),
'Wrong initialised values')
def runTest(self):
n = 3
A = np.arange(n**2, dtype=float).reshape((n, n))
H = A + A.T # force symmetric
hess = Hessian(n, vals=H)
for i in range(n):
for j in range(n):
self.assertEqual(
hess.get_element(i, j), H[i, j],
'Wrong value for (i,j)=(%g,%g): got %g, expecting %g' %
(i, j, hess.get_element(i, j), H[i, j]))
def runTest(self):
n = 5
nvals = n * (n + 1) // 2
x = np.arange(nvals, dtype=float)
hess = Hessian(n, vals=x)
self.assertEqual(hess.shape(), (nvals, ),
'Wrong shape for initialisation')
self.assertEqual(hess.dim(), n, 'Wrong dimension')
self.assertEqual(len(hess), nvals, 'Wrong length')
self.assertTrue(np.all(hess.upper_triangular() == x),
'Wrong initialised values')
def runTest(self):
n = 3
nvals = n * (n + 1) // 2
A = np.arange(n**2, dtype=float).reshape((n, n))
hess = Hessian(n, vals=A + A.T) # force symmetric
self.assertEqual(hess.shape(), (nvals, ),
'Wrong shape for initialisation')
self.assertEqual(hess.dim(), n, 'Wrong dimension')
self.assertEqual(len(hess), nvals, 'Wrong length')
self.assertTrue(
np.all(hess.upper_triangular() == np.array(
[0.0, 4.0, 8.0, 8.0, 12.0, 16.0])), 'Wrong initialised values')
def runTest(self):
n = 5
A = np.arange(n**2, dtype=float).reshape((n, n))
H = np.sin(A + A.T) # force symmetric
hess = Hessian(n, vals=H)
vec = np.exp(np.arange(n, dtype=float))
hs = np.dot(H, vec)
self.assertTrue(array_compare(hess * vec, hs, thresh=1e-12),
'Wrong values')
def runTest(self):
n = 5
A = np.arange(n ** 2, dtype=float).reshape((n, n))
H = np.sin(A + A.T) # force symmetric
hess = Hessian(n, vals=H)
vec = np.exp(np.arange(n, dtype=float))
g = np.cos(3*np.arange(n, dtype=float) - 2.0)
mval = np.dot(g, vec) + 0.5 * np.dot(vec, np.dot(H, vec))
self.assertAlmostEqual(mval, model_value(g, hess, vec), msg='Wrong value')
def runTest(self):
n = 5
A = np.arange(n**2, dtype=float).reshape((n, n))
H = A + A.T # force symmetric
hess = Hessian(n, vals=H)
# When testing for assertion errors, need lambda to stop assertion from actually happening
self.assertRaises(AssertionError, lambda: hess * 1.0)
self.assertRaises(AssertionError, lambda: hess * None)
self.assertRaises(AssertionError,
lambda: hess * [float(i) for i in range(n)])
self.assertRaises(AssertionError,
lambda: hess * np.arange(n - 1, dtype=float))
self.assertRaises(AssertionError,
lambda: hess * np.arange(n + 1, dtype=float))
def runTest(self):
n = 7
A = np.arange(n**2, dtype=float).reshape((n, n))
H = A + A.T # force symmetric
hess = Hessian(n, vals=H)
self.assertTrue(np.all(hess.as_full() == H), 'Wrong values')
def runTest(self):
n = 5
A = np.arange(n**2, dtype=float).reshape((n, n))
H = A + A.T # force symmetric
hess = Hessian(n, vals=H)
# When testing for assertion errors, need lambda to stop assertion from actually happening
self.assertRaises(AssertionError, lambda: hess.set_element(-1, 0, 1.0))
self.assertRaises(AssertionError, lambda: hess.set_element(-1, 0, 2.0))
self.assertRaises(AssertionError,
lambda: hess.set_element(-3, n - 1, 3.0))
self.assertRaises(AssertionError, lambda: hess.set_element(n, 0, 4.0))
self.assertRaises(AssertionError,
lambda: hess.set_element(n + 3, 0, -4.0))
self.assertRaises(AssertionError,
lambda: hess.set_element(n + 7, n - 1, 5.0))
self.assertRaises(AssertionError, lambda: hess.set_element(0, -1, 6.0))
self.assertRaises(AssertionError, lambda: hess.set_element(0, -1, 7.0))
self.assertRaises(AssertionError,
lambda: hess.set_element(n - 1, -3, -7.0))
self.assertRaises(AssertionError,
lambda: hess.set_element(0, n, -76.3))
self.assertRaises(AssertionError,
lambda: hess.set_element(0, n + 3, 2.8))
self.assertRaises(AssertionError,
lambda: hess.set_element(n - 1, n + 7, -1.0))
def runTest(self):
n = 4
A = np.arange(n**2, dtype=float).reshape((n, n))
H = A + A.T # force symmetric
hess = Hessian(n, vals=H)
# When testing for assertion errors, need lambda to stop assertion from actually happening
self.assertRaises(AssertionError, lambda: hess.get_element(-1, 0))
self.assertRaises(AssertionError, lambda: hess.get_element(-1, 0))
self.assertRaises(AssertionError, lambda: hess.get_element(-3, n - 1))
self.assertRaises(AssertionError, lambda: hess.get_element(n, 0))
self.assertRaises(AssertionError, lambda: hess.get_element(n + 3, 0))
self.assertRaises(AssertionError,
lambda: hess.get_element(n + 7, n - 1))
self.assertRaises(AssertionError, lambda: hess.get_element(0, -1))
self.assertRaises(AssertionError, lambda: hess.get_element(0, -1))
self.assertRaises(AssertionError, lambda: hess.get_element(n - 1, -3))
self.assertRaises(AssertionError, lambda: hess.get_element(0, n))
self.assertRaises(AssertionError, lambda: hess.get_element(0, n + 3))
self.assertRaises(AssertionError,
lambda: hess.get_element(n - 1, n + 7))