def test_standard_radian(self):
l0, l1, sq3, pi6, pi4, pi2, pi1 = tree('0,1,sqrt(3),1/6*pi,1/4*pi,1/2*pi,pi')
self.assertEqual(standard_radian(sin(pi6), (OP_SIN, 1)), l1 / 2)
self.assertEqual(standard_radian(sin(pi2), (OP_SIN, 4)), 1)
self.assertEqual(standard_radian(cos(l0), (OP_COS, 0)), 1)
self.assertEqual(standard_radian(tan(pi4), (OP_TAN, 3)), sq3)
self.assertEqual(standard_radian(sin(pi1), (OP_SIN, 5)), 0)
self.assertEqual(standard_radian(cos(pi1), (OP_COS, 5)), -1)
self.assertEqual(standard_radian(-cos(pi1), (OP_COS, 5)), --l1)
def test_sin(self):
self.assertEqual(sin(tree('x')), tree('sin(x)'))
def test_negated_sinus_parameter(self):
s = tree('sin -t')
t = s[0]
self.assertEqual(negated_sinus_parameter(s, (t,)), -sin(+t))
def test_function(self):
x = tree('x')
self.assertEqual(tree('sin x'), sin(x))
self.assertEqual(tree('sin 2 x'), sin(2) * x)
self.assertEqual(tree('sin x ^ 2'), sin(x ** 2))
self.assertEqual(tree('sin^2 x'), sin(x) ** 2)
self.assertEqual(tree('sin(x ^ 2)'), sin(x ** 2))
self.assertEqual(tree('sin(x) ^ 2'), sin(x) ** 2)
self.assertEqual(tree('sin cos x'), sin(cos(x)))
self.assertEqual(tree('sin cos x ^ 2'), sin(cos(x ** 2)))
self.assertEqual(tree('sin cos(x) ^ 2'), sin(cos(x) ** 2))
self.assertEqual(tree('sin (cos x) ^ 2'), sin(cos(x)) ** 2)
self.assertEqual(tree('sin (cos x) ^ 2'), sin(cos(x)) ** 2)
self.assertEqual(tree('sin((cos x) ^ 2)'), sin(cos(x) ** 2))
def test_tangens(self):
root, x = tree('d/dx tan(x), x')
self.assertEqual(tangens(root, ()), der(sin(x) / cos(x), x))
root = tree('tan(x)\'')
self.assertEqual(tangens(root, ()), der(sin(x) / cos(x)))
def test_cosinus(self):
root, x = tree('d/dx cos(x), x')
self.assertEqual(cosinus(root, ()), -sin(x))