Mapytex/test/test_polynom.py

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


import unittest

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


class TestPolynom(unittest.TestCase):
    """Testing functions from pymath.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).simplify(), 7)

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

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

    def test_eval_poly(self):
        p = Polynom([1, 2])
        hp1 = Expression("h+1")
        self.assertEqual(p(hp1).simplify(), Polynom([3,2], "h"))

    #def test_print(self):
    #    p = Polynom([1,2,3])
    #    ans = "1 + 2 x + 3 x^2"
    #    self.assertEqual(ans, str(p))

    #def test_print_monom(self):
    #    p = Polynom([0,2])
    #    ans = "2 x"
    #    self.assertEqual(ans, str(p))

    #def test_print_0_coef(self):
    #    p = Polynom([0,1,3])
    #    ans = "x + 3 x^2"
    #    self.assertEqual(ans, str(p))

    #def test_print_multi_coef(self):
    #    p = Polynom([1,[2, -2],3])
    #    ans = "1 + 2 x - 2 x + 3 x^2"
    #    self.assertEqual(ans, str(p))

    def test_postfix(self):
        p = Polynom([1,2,3])
        #ans = [1, 2, "x", "*", "+", 3, "x", 2, "^", "*", "+"]
        ans = [3, 'x', 2, '^', '*', 2, 'x', '*', '+', 1, '+']
        self.assertEqual(ans, p.postfix_tokens)

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

    def test_postfix_0_coef(self):
        p = Polynom([0,2,0,4])
        #ans = [2, "x", "*", 4, "x", 3, "^", "*", "+"]
        ans = [4, 'x', 3, '^', '*', 2, 'x', '*', '+']
        self.assertEqual(ans, p.postfix_tokens)

    def test_postfix_1_coef(self):
        p = Polynom([0,1,1])
        #ans = ["x", "x", 2, "^", "+"]
        ans = ["x", 2, "^", "x", "+"]
        self.assertEqual(ans, p.postfix_tokens)

    def test_postfix_neg_coef(self):
        # TODO: Choix arbitraire (vis à vis des + et des -) il faudra faire en fonction de render |sam. juin 14 09:45:55 CEST 2014
        p = Polynom([-1,-2,-3])
        #ans = [-1, -2, "x", "*", "+", -3, "x", 2, "^", "*", "+"]
        ans = [3, 'x', 2, '^', '*', '-', 2, 'x', '*', '-', 1, '-']
        self.assertEqual(ans, p.postfix_tokens)

    def test_postfix_multi_coef(self):
        p = Polynom([1,[2, 3],4])
        #ans = [1, 2, "x", "*", "+", 3, "x", "*", "+", 4, "x", 2, "^", "*", "+"]
        ans = [4, 'x', 2, '^', '*', 2, 'x', '*', '+', 3, 'x', '*', '+', 1, '+']
        self.assertEqual(ans, p.postfix_tokens)

    def test_postfix_arithm_coef(self):
        p = Polynom([1,Expression([2, 3, "+"]),4])
        #ans = [1, 2, 3, "+", "x", "*", "+", 4, "x", 2, "^", "*", "+"]
        ans = [4, 'x', 2, '^', '*', 2, 3, '+', 'x', '*', '+', 1, '+']
        self.assertEqual(ans, p.postfix_tokens)

    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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