def testPolyint(self):
p = pypol.poly1d([4, -3, 4, 1])
py.test.raises(ValueError, lambda: funcs.polyint(ONE, -1))
assert funcs.polyint(ONE) == x
assert funcs.polyint(TWO) == 2*x
assert funcs.polyint(p) == pypol.poly1d([1, -1, 2, 1, 0])
assert funcs.polyint(p, 2) == funcs.polyint(funcs.polyint(p)) \
== pypol.polynomial('+ 1/5x^5 - 1/4x^4 + 2/3x^3 + 1/2x^2')
def testIsSquareDiff(self):
assert pypol.polynomial('a6 - 9').is_square_diff()
assert pypol.polynomial('a2 - 9').is_square_diff()
assert not pypol.polynomial('a').is_square_diff()
assert not pypol.polynomial('a2').is_square_diff()
assert not pypol.polynomial('a2 - 3').is_square_diff()
assert not pypol.polynomial('a2 + 9').is_square_diff()
assert not pypol.polynomial('a6 + 9').is_square_diff()
assert not pypol.polynomial('a6 - 6').is_square_diff()
assert not self.a.is_square_diff()
def testDivmod(self):
assert (pypol.polynomial('- x^2 + x'), pypol.polynomial('- 5')) == divmod(self.a, self.c)
def testSub(self):
assert pypol.ONE - pypol.x == self.c
assert 1 - pypol.x == self.c
assert pypol.polynomial('x^3 - a^3 + x + b - 8') == self.a - self.b
assert pypol.polynomial('x^3 - 2x^2 + x - 7') == self.a - 2
assert pypol.polynomial('x^3 - 2x^2 + x - 5 - y^2') == self.a - 'y^2'
def testMul(self):
assert pypol.polynomial('x^3a - 2x^2a + xa - 5a') == self.a * self.d
assert pypol.polynomial('x^3a^3 - 2x^5 - x^3b - 2x^2a^3 + 4x^4 + 2x^2b + xa^3 + x^3 - xb + 3x - 5a^3 + 4x^2 + 5b - 15') == self.a * self.b
def testEvalForm(self):
assert '2*y**5*x**3-4*x**2+2' == pypol.polynomial('2x^3y^5 - 4x^2 +2').eval_form
def testAdd(self):
assert pypol.polynomial('x^3 + x + a^3 - 4x^2 - b - 2') == self.a + self.b
assert pypol.polynomial('x^3 - 2x^2 + x - 6') == self.a + -1
assert pypol.polynomial('x^3 - 2x^2 + x - 5 + y^2') == self.a + 'y^2'
def testPow(self):
assert pypol.polynomial('x^2 -2x + 1') == self.c ** 2
def testLcm(self):
assert pypol.polynomial('3x^4 - 9x').lcm() in (pypol.polynomial('9x^4'), pypol.polynomial('-9x^4'))
def testGetitem(self):
assert (1, {'a': 1}) == pypol.polynomial('a')[0]
py.test.raises(IndexError, lambda: pypol.polynomial('a')[2])
def testSetitem(self):
self.a[2] = (3, {'x': 3, 'y': 4})
assert pypol.polynomial('x^3 + 3x3y4 - 2x^2 -5') == self.a
def testNeg(self):
assert pypol.polynomial('x - 1') == -self.c
def testNonzero(self):
p = pypol.polynomial()
assert self.a
assert not p
def testEq(self):
assert pypol.polynomial('x^3 - 2x^2 + x - 5') == self.a
def testUpdate(self):
self.d.update('3x - y + 2')
assert pypol.polynomial('3x - y + 2') == self.d
def testOrdered(self):
assert pypol.polynomial('4a3+6a2+4a+5').isordered()
assert pypol.polynomial('4a3+6a2+4a+5').isordered('a')
assert not pypol.polynomial('a3+b3+c+ab ').isordered()
assert not pypol.polynomial('a3+b3+c+ab ').isordered('a')
assert not pypol.polynomial('a3+b3+c+ab ').isordered('b')
def testDiv(self):
assert (2 * pypol.x + 1) / 2 == pypol.polynomial('x + 1/2')
assert pypol.polynomial('- x^2 + x') == self.a / self.c
def testDelitem(self):
del self.a[1:3]
assert pypol.polynomial('x^3 - 5') == self.a
def testMod(self):
p = pypol.polynomial('x^2 + 3')
assert pypol.polynomial('4') == p % self.c
def testDivAll(self):
assert pypol.polynomial('2x^3 + 4xy - 16').div_all(-2) == pypol.polynomial('- x^3 - 2xy + 8')
def testGcd(self):
assert pypol.polynomial('3x^4 - 9x').gcd() in (pypol.polynomial('3x'), pypol.polynomial('-3x'))
def setup_method(self, method):
self.a = pypol.polynomial('x^3 - 2x^2 + x -5')
self.b = pypol.polynomial('a^3 - 2x^2 - b + 3')
self.c = pypol.polynomial('-x + 1')
self.d = pypol.polynomial('a')
def testPolynomial(self):
assert type(pypol.polynomial()) == pypol.Polynomial
def testLetters(self):
assert ('a', 'b', 'x') == self.b.letters
assert () == pypol.polynomial().letters