def test_scale(self):
f, l = core.normalize_function(self.f, self.l)
prod = core.dot_product_l2(f, l)
self.assertAlmostEqual(prod, 1)
p, q = core.normalize_function(self.f, self.l)
prod = core.dot_product_l2(p.members, q.members)
self.assertAlmostEqual(prod, 1)
def test_self_scale(self):
f = core.normalize_function(self.f)
prod = core.dot_product_l2(f, f)
self.assertAlmostEqual(prod, 1)
p = core.normalize_function(self.f)
prod = core.dot_product_l2(p.members, p.members)
self.assertAlmostEqual(prod, 1)
def test_nonzero(self):
self.assertAlmostEqual(core.dot_product_l2(self.f1, self.f4), 2e-1)
def test_lagrange(self):
self.assertAlmostEqual(core.dot_product_l2(self.f5, self.f7), 0)
self.assertAlmostEqual(core.dot_product_l2(self.f5, self.f6), 1/6)
self.assertAlmostEqual(core.dot_product_l2(self.f7, self.f6), 1/6)
self.assertAlmostEqual(core.dot_product_l2(self.f5, self.f5), 2/3)
def test_domain(self):
self.assertAlmostEqual(core.dot_product_l2(self.f1, self.f2), 10)
self.assertAlmostEqual(core.dot_product_l2(self.f1, self.f3), 2)
