def testGramSchmidt(self):
a = [3, 1]
b = [2, 2]
v = [a, b]
s = [[0.9486832980505138, 0.31622776601683794], \
[-0.3162277660168383, 0.9486832980505138]]
self.assertEqual(gram.gramSchmidt(v), s)
self.assertEqual(0, round(gram.dotProduct(s[0], s[1]), 4))
a = [1, 1, 1, 1]
b = [-1, 4, 4, 1]
c = [4, -2, 2, 0]
v = [a, b, c]
s = [[0.5, 0.5, 0.5, 0.5], \
[-0.7071067811865476, 0.47140452079103173, \
0.47140452079103173, -0.23570226039551587], \
[0.2886751345948129, -0.4811252243246882, \
0.6735753140545634, -0.4811252243246881]]
self.assertEqual(gram.gramSchmidt(v), s)
self.assertEqual(0, round(gram.dotProduct(s[0], s[1]), 4))
self.assertEqual(0, round(gram.dotProduct(s[1], s[2]), 4))
self.assertEqual(0, round(gram.dotProduct(s[0], s[2]), 4))
def testDotProduct(self):
self.assertEqual(11, gram.dotProduct([1,2], [3,4]))
self.assertEqual(-26, gram.dotProduct([-4,2], [3,-7]))
self.assertEqual(101, gram.dotProduct([1,2,3,4,5,6], [6,5,4,6,5,4]))
