183 lines
5.1 KiB
Python
183 lines
5.1 KiB
Python
#!/usr/bin/env python
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# encoding: utf-8
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import unittest
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from pymath.calculus.polynom import Polynom
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from pymath.calculus.fraction import Fraction
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from pymath.calculus.expression import Expression
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from pymath.calculus.render import txt
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class TestPolynom(unittest.TestCase):
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"""Testing functions from pymath.calculus.polynom"""
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def setup(self):
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Expression.set_render(txt)
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def test_init(self):
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p = Polynom([1, 2, 3], "x")
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def test_init_multi(self):
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p = Polynom([1, [2, 3], 4], "x")
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# def test_init_arith(self):
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# p = Polynom([1, [2, 3, "+"], 4], "x")
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# def test_init_arith_2(self):
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# p = Polynom([1, [[2, 3, "*"],3], 4], "x")
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def test_deg(self):
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pass
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def test_eval_base(self):
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p = Polynom([1, 2])
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self.assertEqual(p(3), 7)
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def test_eval_const(self):
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p = Polynom([1])
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self.assertEqual(p(3), 1)
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def test_eval_const_neg(self):
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p = Polynom([-1])
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self.assertEqual(p(3), -1)
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def test_eval_poly(self):
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p = Polynom([1, 2])
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self.assertEqual(p("h+1"), Polynom([3, 2], "h"))
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# def test_print(self):
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# p = Polynom([1,2,3])
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# ans = "1 + 2 x + 3 x^2"
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# self.assertEqual(ans, str(p))
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# def test_print_monom(self):
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# p = Polynom([0,2])
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# ans = "2 x"
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# self.assertEqual(ans, str(p))
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# def test_print_0_coef(self):
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# p = Polynom([0,1,3])
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# ans = "x + 3 x^2"
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# self.assertEqual(ans, str(p))
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# def test_print_multi_coef(self):
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# p = Polynom([1,[2, -2],3])
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# ans = "1 + 2 x - 2 x + 3 x^2"
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# self.assertEqual(ans, str(p))
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def test_postfix(self):
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p = Polynom([1, 2, 3])
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#ans = [1, 2, "x", "*", "+", 3, "x", 2, "^", "*", "+"]
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ans = [3, 'x', 2, '^', '*', 2, 'x', '*', '+', 1, '+']
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self.assertEqual(ans, p.postfix_tokens)
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def test_postfix_monom(self):
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p = Polynom([0, 2])
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ans = [2, "x", "*"]
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self.assertEqual(ans, p.postfix_tokens)
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def test_postfix_0_coef(self):
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p = Polynom([0, 2, 0, 4])
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#ans = [2, "x", "*", 4, "x", 3, "^", "*", "+"]
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ans = [4, 'x', 3, '^', '*', 2, 'x', '*', '+']
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self.assertEqual(ans, p.postfix_tokens)
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def test_postfix_1_coef(self):
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p = Polynom([0, 1, 1])
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#ans = ["x", "x", 2, "^", "+"]
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ans = ["x", 2, "^", "x", "+"]
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self.assertEqual(ans, p.postfix_tokens)
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def test_postfix_neg_coef(self):
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# TODO: Choix arbitraire (vis à vis des + et des -) il faudra faire en
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# fonction de render |sam. juin 14 09:45:55 CEST 2014
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p = Polynom([-1, -2, -3])
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#ans = [-1, -2, "x", "*", "+", -3, "x", 2, "^", "*", "+"]
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ans = [3, 'x', 2, '^', '*', '-', 2, 'x', '*', '-', 1, '-']
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self.assertEqual(ans, p.postfix_tokens)
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def test_postfix_multi_coef(self):
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p = Polynom([1, [2, 3], 4])
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#ans = [1, 2, "x", "*", "+", 3, "x", "*", "+", 4, "x", 2, "^", "*", "+"]
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ans = [4, 'x', 2, '^', '*', 2, 'x', '*', '+', 3, 'x', '*', '+', 1, '+']
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self.assertEqual(ans, p.postfix_tokens)
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def test_postfix_arithm_coef(self):
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p = Polynom([1, Expression([2, 3, "+"]), 4])
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#ans = [1, 2, 3, "+", "x", "*", "+", 4, "x", 2, "^", "*", "+"]
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ans = [4, 'x', 2, '^', '*', 2, 3, '+', 'x', '*', '+', 1, '+']
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self.assertEqual(ans, p.postfix_tokens)
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def test_reduce_nilpo(self):
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p = Polynom([1, 2, 3])
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self.assertEqual(p, p.reduce())
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def test_reduce(self):
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p = Polynom([1, [2, 3], 4])
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ans = '4 x^{ 2 } + 5 x + 1'
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self.assertEqual(str(p.reduce()), ans)
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def test_add_int(self):
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p = Polynom([1, 2, 3])
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q = p + 2
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ans = '3 x^{ 2 } + 2 x + 3'
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self.assertEqual(str(q), ans)
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def test_add_frac(self):
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p = Polynom([1, 2, 3])
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f = Fraction(1, 2)
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q = p + f
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ans = '3 x^{ 2 } + 2 x + \\frac{ 3 }{ 2 }'
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self.assertEqual(str(q), ans)
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def test_add_poly(self):
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p = Polynom([1, 0, 3])
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q = Polynom([0, 2, 3])
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r = p + q
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ans = '6 x^{ 2 } + 2 x + 1'
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self.assertEqual(str(r), ans)
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def test_sub_int(self):
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p = Polynom([1, 2, 3])
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q = p - 2
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ans = '3 x^{ 2 } + 2 x - 1'
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self.assertEqual(str(q), ans)
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def test_sub_frac(self):
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p = Polynom([1, 2, 3])
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f = Fraction(1, 2)
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q = p - f
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ans = '3 x^{ 2 } + 2 x + \\frac{ 1 }{ 2 }'
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self.assertEqual(str(q), ans)
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def test_sub_poly(self):
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p = Polynom([1, 0, 2])
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q = Polynom([0, 2, 3])
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r = p - q
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ans = '- x^{ 2 } - 2 x + 1'
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self.assertEqual(str(r), ans)
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def test_pow_monome(self):
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p = Polynom([0, -2])
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r = p**3
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ans = '- 8 x^{ 3 }'
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self.assertEqual(str(r), ans)
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def test_pow2_monome(self):
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p = Polynom([0, -2])
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r = p ^ 3
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ans = '- 8 x^{ 3 }'
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self.assertEqual(str(r), ans)
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if __name__ == '__main__':
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unittest.main()
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# -----------------------------
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# Reglages pour 'vim'
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# vim:set autoindent expandtab tabstop=4 shiftwidth=4:
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# cursor: 16 del
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