# vim: set fileencoding=utf-8 :
from src.rules.goniometry import sin, cos, tan, match_add_quadrants, \
        add_quadrants, match_negated_parameter, negated_sinus_parameter, \
        negated_cosinus_parameter, match_standard_radian, standard_radian, \
        is_pi_frac
from src.node import PI, OP_SIN, OP_COS, OP_TAN
from src.possibilities import Possibility as P
from tests.rulestestcase import RulesTestCase, tree
from src.rules import goniometry
import doctest


class TestRulesGoniometry(RulesTestCase):

    def test_doctest(self):
        self.assertEqual(doctest.testmod(m=goniometry)[0], 0)

    def test_match_add_quadrants(self):
        root = tree('sin(t) ^ 2 + cos(t) ^ 2')
        possibilities = match_add_quadrants(root)
        self.assertEqualPos(possibilities, [P(root, add_quadrants, ())])

    def test_add_quadrants(self):
        self.assertEqual(add_quadrants(None, ()), 1)

    def test_match_negated_parameter(self):
        s, c = tree('sin -t, cos -t')
        t = s[0]

        self.assertEqualPos(match_negated_parameter(s), \
                [P(s, negated_sinus_parameter, (t,))])

        self.assertEqualPos(match_negated_parameter(c), \
                [P(c, negated_cosinus_parameter, (t,))])

    def test_negated_sinus_parameter(self):
        s = tree('sin -t')
        t = s[0]
        self.assertEqual(negated_sinus_parameter(s, (t,)), -sin(+t))

    def test_negated_cosinus_parameter(self):
        c = tree('cos -t')
        t = c[0]
        self.assertEqual(negated_cosinus_parameter(c, (t,)), cos(+t))

    def test_is_pi_frac(self):
        l1, pi = tree('1,' + PI)

        self.assertTrue(is_pi_frac(l1 / 2 * pi, 2))
        self.assertFalse(is_pi_frac(l1 / 2 * pi, 3))
        self.assertFalse(is_pi_frac(l1 * pi, 3))

    def test_match_standard_radian(self):
        s, c, t = tree('sin(1 / 6 * pi), cos(1 / 2 * pi), tan(0)')

        self.assertEqualPos(match_standard_radian(s), \
                [P(s, standard_radian, (OP_SIN, 1))])

        self.assertEqualPos(match_standard_radian(c), \
                [P(c, standard_radian, (OP_COS, 4))])

        self.assertEqualPos(match_standard_radian(t), \
                [P(t, standard_radian, (OP_TAN, 0))])

    def test_standard_radian(self):
        l0, l1, sq3, pi6, pi4, pi2 = tree('0,1,sqrt(3),1/6*pi,1/4*pi,1/2*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)