def testHighOrderForward(self):
eps = 1e-11
print "\nChecking that with increased number of modes previous terms do not change"
for order in (2, 3):
print "Order: " + str(order)
for N in (20, 40, 60):
f1 = TestFunction(self.env, N, order)
f2 = TestFunction(self.env, N + 1, order)
p1 = createFHTPlan(self.env, N, order)
p2 = createFHTPlan(self.env, N + 1, order)
C1 = p1.execute(f1.data)
C2 = p2.execute(f2.data)
d = diff(self.env.fromDevice(C1).reshape(N),
self.env.fromDevice(C2).reshape(N + 1)[:-1])
print "N = {N}, diff = {d}".format(N=N, d=d)
def testBatch(self): eps = 1e-14 N = 5 coeffs = numpy.arange(N * 2).reshape(2, N) fa = TestFunction(self.env, N, 1, coefficients=coeffs[0, :]) fb = TestFunction(self.env, N, 1, coefficients=coeffs[1, :]) p = createFHTPlan(self.env, N, 1) f2 = self.env.toDevice(numpy.concatenate( [self.env.fromDevice(fa.data), self.env.fromDevice(fb.data)])) C = p.execute(f2, batch=2) self.assert_(C.shape == coeffs.shape) self.assert_(diff(self.env.fromDevice(C), coeffs) < eps) f_back = p.execute(C, batch=2, inverse=True) self.assert_(f_back.shape == (2, len(p.grid_x))) self.assert_(diff(self.env.fromDevice(f_back), self.env.fromDevice(f2).reshape(f_back.shape)) < eps)
def testHighOrderBack(self):
# Psi^2 or ^3 has infinite numbers of harmonics, but we still can count on
# certain precision of restored function.
eps = 0.1
print "\nChecking that F^-1[F[Psi^l]] ~ Psi^l:"
for order in (2, 3):
for N in (5, 6, 7, 40, 60):
f = TestFunction(self.env, N, order, coefficients=[1] + [0] * N)
p = createFHTPlan(self.env, N, order)
C = p.execute(f.data)
f_back = p.execute(C, inverse=True)
d = f.test(f_back)
if N == 40 or N == 60:
print "N = {N}, order = {l}, diff = {d}".format(N=N, l=order, d=d)
else:
self.assert_(d < eps)
def testOrder1(self):
eps = 1e-11
print "\nChecking that harmonic decomposition gives right coefficients:"
for N in (1, 3, 5, 40, 60):
f = TestFunction(self.env, N, 1)
plan = createFHTPlan(self.env, (N,), 1)
C = plan.execute(f.data)
d_fw = f.test_coeffs(C)
if not (N == 40 or N == 60):
self.assert_(d_fw < eps)
f_back = plan.execute(C, inverse=True)
d_back = f.test(f_back)
if N == 40 or N == 60:
print "N = {N}, diff forward = {d_fw}, diff back = {d_back}".format(
N=N, d_fw=d_fw, d_back=d_back)
else:
self.assert_(d_back < eps)