def test_polynomial_multiplication():
a = Polynomial.from_string("4")
b = Polynomial.from_string("2 - x + 3*x^2")
c = Polynomial.from_string("8 - 4*x + 12*x^2")
assert a * b == c
def test_polynomial_multiplication2():
a = Polynomial.from_string("3 - 2*x^2 + x^3")
b = Polynomial.from_string("2 - x + 3*x^2")
c = Polynomial.from_string("6 + 4*x^3 - 3*x + 5*x^2 - 7*x^4 + 3*x^5")
assert a * b == c
def test_polynomial_subtraction():
a = Polynomial.from_string("-2 + 6*x^2 + 2*x^3")
b = Polynomial.from_string("-3 - x^2 + 2*x^3")
c = Polynomial.from_string("1 + 7*x^2")
assert a - b == c
def test_polynomial_subtraction2():
a = Polynomial.from_string("-2 - x")
b = Polynomial.from_string("1 + 7*x^2")
c = Polynomial.from_string("-3 -x -7*x^2")
assert a - b == c
def test_polynomial_addition3():
a = Polynomial.from_string("-3 -x -7*x^2")
b = Polynomial.from_string("1 + 7*x^2")
c = Polynomial.from_string("-2 - x")
assert a + b == c
def test_polynomial_addition2():
a = Polynomial.from_string("-3 - x^2 + 2*x^3")
b = Polynomial.from_string("1 + 7*x^2")
c = Polynomial.from_string("-2 + 6*x^2 + 2*x^3")
assert a + b == c
def test_polynomial_eq2():
a = Polynomial.from_string("-4 + x^2")
b = Polynomial.from_string("-4 - x^2")
assert a != b
def test_rp_mult2():
a = Polynomial.from_string("x^4+1")
b = RationalPolynomial.from_string("(1+2*x^2)/(x+2)")
assert b == b * (a / a)
def test_polynomial_eq():
a = Polynomial.from_string("-4 + x^2")
b = Polynomial.from_string("x^2 - 4")
assert a == b