def test_rp_eq2():
a = RationalPolynomial.from_string("(-4 + x^2)/(x+5)")
b = RationalPolynomial.from_string("(x^2 - 4)/(7+x)")
assert a != b
def test_rp_eq3():
a = RationalPolynomial.from_string("(-4 + x^2)/(x+5)")
b = RationalPolynomial.from_string("(-x^2 + 4)/(5+x)")
assert a == -b
def test_rp_fromstr2():
a = RationalPolynomial.from_string("(1+2 *x^2)/- (x+2)")
b = RationalPolynomial.from_string(" (1+2 *x^2)/(x+2)")
assert a == (-b) and (-a) == b
def test_rp_fromstr3():
a = RationalPolynomial.from_string("-(1 +2*x^2)/( x+2 )")
b = RationalPolynomial.from_string("(1+2 *x^2)/-(x+2 ) ")
assert a == b
def test_rp_div3():
a = RationalPolynomial.from_string("(x^4+3*x-1)/(-7*x^2+2*x-9)")
b = RationalPolynomial.from_string("(1+2*x^2)/(x+2)")
c = RationalPolynomial.from_string(
"(2*x^6 +x^4+6*x^3+3*x-2*x^2-1)/-(7*x^3+12*x^2+5*x+10)")
assert a != c / b
def test_rp_neg():
a = RationalPolynomial.from_string("1/1")
b = RationalPolynomial.from_string("(1+2*x^2)/(x+2)")
c = RationalPolynomial.from_string("(1+2*x^2)/(-1*x - 2)")
assert (-a) * b == c
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_rp_mult():
a = RationalPolynomial.from_string("(1+2*x^2)/(4*x+8)")
b = RationalPolynomial.from_string("(1+2*x^2)/(x+2)")
c = RationalPolynomial.from_string("1/4")
assert b * c == a
def test_rp_tozero():
a = RationalPolynomial.from_string("(1+x)/(x+2)")
b = RationalPolynomial.from_string("0/1")
assert (a - a) == b
def test_rp_subtraction2():
a = RationalPolynomial.from_string("(1+x)/(x+2)")
b = RationalPolynomial.from_string("(1*x+17)/(x+4)")
c = RationalPolynomial.from_string("-2/(8+ 1*x^2+ 6*x)")
assert a - b != c
def test_rp_addition2():
a = RationalPolynomial.from_string("(1+x)/(x+2)")
b = RationalPolynomial.from_string("(1*x+5)/(x+4)")
c = RationalPolynomial.from_string("(2*x^ 2 + 10 +10*x)/(8+ 1*x^2+ 6*x)")
assert a + b != c
