Mapytex/pymath/calculus/test/test_polynom.py

#!/usr/bin/env python
# encoding: utf-8


import unittest

from pymath.calculus.polynom import Polynom
from pymath.calculus.fraction import Fraction
from pymath.calculus.expression import Expression
from pymath.calculus.render import txt
from pymath.calculus.operator import op


class TestPolynom(unittest.TestCase):
    """Testing functions from pymath.calculus.polynom"""

    def setup(self):
        Expression.set_render(txt)

    def test_init(self):
        p = Polynom([1, 2, 3], "x")

    def test_init_multi(self):
        p = Polynom([1, [2, 3], 4], "x")

    # def test_init_arith(self):
    #    p = Polynom([1, [2, 3, "+"], 4], "x")

    # def test_init_arith_2(self):
    #    p = Polynom([1, [[2, 3, "*"],3], 4], "x")

    def test_deg(self):
        pass

    def test_eval_base(self):
        p = Polynom([1, 2])
        self.assertEqual(p(3), 7)

    def test_eval_const(self):
        p = Polynom([1])
        self.assertEqual(p(3), 1)

    def test_eval_const_neg(self):
        p = Polynom([-1])
        self.assertEqual(p(3), -1)

    def test_eval_poly(self):
        p = Polynom([1, 2])
        self.assertEqual(p("h+1"), Polynom([3, 2], "h"))

    def test_postfix(self):
        p = Polynom([1, 2, 3])
        ans = [3, 'x', 2, op.pw, op.mul, 2, 'x', op.mul, op.add, 1, op.add]
        self.assertEqual(ans, p.postfix_tokens)

    def test_postfix_monom(self):
        p = Polynom([0, 2])
        ans = [2, "x", op.mul]
        self.assertEqual(ans, p.postfix_tokens)

    def test_postfix_0_coef(self):
        p = Polynom([0, 2, 0, 4])
        ans = [4, 'x', 3, op.pw, op.mul, 2, 'x', op.mul, op.add]
        self.assertEqual(ans, p.postfix_tokens)

    def test_postfix_1_coef(self):
        p = Polynom([0, 1, 1])
        ans = ["x", 2, op.pw, "x", op.add]
        self.assertEqual(ans, p.postfix_tokens)

    def test_postfix_neg_coef(self):
        p = Polynom([-1, -2, -3])
        ans = [-3, 'x', 2, op.pw, op.mul, -2, 'x', op.mul, op.add, -1, op.add]
        self.assertEqual(ans, p.postfix_tokens)

    def test_postfix_multi_coef(self):
        p = Polynom([1, [2, 3], 4])
        ans = [4, 'x', 2, op.pw, op.mul, 2, 'x', op.mul, op.add, 3, 'x', op.mul, op.add, 1, op.add]
        self.assertEqual(ans, p.postfix_tokens)

    def test_postfix_exp_coef(self):
        p = Polynom([1, Expression([2, 3, "+"]), 4])
        ans = [4, 'x', 2, op.pw, op.mul, 2, 3, op.add, 'x', op.mul, op.add, 1, op.add]
        self.assertEqual(ans, p.postfix_tokens)

    def test_str(self):
        p = Polynom([1, 2, 3])
        ans = '3 x^{  2 } + 2 x + 1'
        self.assertEqual(ans, str(p))

    def test_str_monom(self):
        p = Polynom([0, 2])
        ans = '2 x'
        self.assertEqual(ans, str(p))

    def test_str_0_coef(self):
        p = Polynom([0, 2, 0, 4])
        ans = '4 x^{  3 } + 2 x'
        self.assertEqual(ans, str(p))

    def test_str_1_coef(self):
        p = Polynom([0, 1, 1])
        ans = 'x^{  2 } + x'
        self.assertEqual(ans, str(p))

    def test_str_neg_coef(self):
        p = Polynom([-1, -2, -3])
        ans = '-3 x^{  2 } - 2 x - 1'
        self.assertEqual(ans, str(p))

    def test_str_multi_coef(self):
        p = Polynom([1, [2, 3], 4])
        ans = '4 x^{  2 } + 2 x + 3 x + 1'
        self.assertEqual(ans, str(p))

    def test_str_exp_coef(self):
        p = Polynom([1, Expression([2, 3, "+"]), 4])
        ans = '4 x^{  2 } + ( 2 + 3 ) x + 1'
        self.assertEqual(ans, str(p))

    def test_reduce_nilpo(self):
        p = Polynom([1, 2, 3])
        self.assertEqual(p, p.reduce())

    def test_reduce(self):
        p = Polynom([1, [2, 3], 4])
        ans = '4 x^{  2 } + 5 x + 1'
        self.assertEqual(str(p.reduce()), ans)

    def test_add_int(self):
        p = Polynom([1, 2, 3])
        q = p + 2
        ans = '3 x^{  2 } + 2 x + 3'
        self.assertEqual(str(q), ans)

    def test_add_frac(self):
        p = Polynom([1, 2, 3])
        f = Fraction(1, 2)
        q = p + f
        ans = '3 x^{  2 } + 2 x + \\frac{ 3 }{ 2 }'
        self.assertEqual(str(q), ans)

    def test_add_poly(self):
        p = Polynom([1, 0, 3])
        q = Polynom([0, 2, 3])
        r = p + q
        ans = '6 x^{  2 } + 2 x + 1'
        self.assertEqual(str(r), ans)

    def test_sub_int(self):
        p = Polynom([1, 2, 3])
        q = p - 2
        ans = '3 x^{  2 } + 2 x - 1'
        self.assertEqual(str(q), ans)

    def test_sub_frac(self):
        p = Polynom([1, 2, 3])
        f = Fraction(1, 2)
        q = p - f
        ans = '3 x^{  2 } + 2 x + \\frac{ 1 }{ 2 }'
        self.assertEqual(str(q), ans)

    def test_sub_poly(self):
        p = Polynom([1, 0, 2])
        q = Polynom([0, 2, 3])
        r = p - q
        ans = '- x^{  2 } - 2 x + 1'
        self.assertEqual(str(r), ans)

    def test_pow_monome(self):
        p = Polynom([0, -2])
        r = p**3
        ans = '-8 x^{  3 }'
        self.assertEqual(str(r), ans)

    def test_pow2_monome(self):
        p = Polynom([0, -2])
        r = p ^ 3
        ans = '-8 x^{  3 }'
        self.assertEqual(str(r), ans)


if __name__ == '__main__':
    unittest.main()


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