Python roots_quadratic Examples

Example #1

File: test_polynomial.py Project: laudehenri/rSymPy

def test_roots_quadratic():
    assert roots_quadratic(Poly(2*x**2, x)) == [0, 0]
    assert roots_quadratic(Poly(2*x**2+3*x, x)) == [0, -Rational(3, 2)]
    assert roots_quadratic(Poly(2*x**2+3, x)) == [I*sqrt(6)/2, -I*sqrt(6)/2]

    assert roots_quadratic(Poly(2*x**2+4*x+3, x)) == \
        [-1 + I*sqrt(2)/2, -1 - I*sqrt(2)/2]

Example #2

File: test_polynomial.py Project: jcockayne/sympy-rkern

def test_roots_quadratic():
    assert roots_quadratic(Poly(2*x**2, x)) == [0, 0]
    assert roots_quadratic(Poly(2*x**2+3*x, x)) == [0, -Rational(3, 2)]
    assert roots_quadratic(Poly(2*x**2+3, x)) == [I*sqrt(6)/2, -I*sqrt(6)/2]

    assert roots_quadratic(Poly(2*x**2+4*x+3, x)) == \
        [-1 + I*sqrt(2)/2, -1 - I*sqrt(2)/2]

Example #3

File: test_polynomial.py Project: jcockayne/sympy-rkern

def test_roots_binomial():
    assert roots_binomial(Poly(5*x, x)) == [0]
    assert roots_binomial(Poly(5*x**4, x)) == [0, 0, 0, 0]
    assert roots_binomial(Poly(5*x+2, x)) == [-Rational(2, 5)]

    A = 10**Rational(3, 4)/10

    assert roots_binomial(Poly(5*x**4+2, x)) == \
        [A+I*A, -A+I*A, -A-I*A, A-I*A]

    a1 = Symbol('a1', nonnegative=True)
    b1 = Symbol('b1', nonnegative=True)

    r0 = roots_quadratic(Poly(a1*x**2 + b1, x))
    r1 = roots_binomial(Poly(a1*x**2 + b1, x))

    assert powsimp(r0[0]) == powsimp(r1[0])
    assert powsimp(r0[1]) == powsimp(r1[1])

Example #4

File: test_polynomial.py Project: laudehenri/rSymPy

def test_roots_binomial():
    assert roots_binomial(Poly(5*x, x)) == [0]
    assert roots_binomial(Poly(5*x**4, x)) == [0, 0, 0, 0]
    assert roots_binomial(Poly(5*x+2, x)) == [-Rational(2, 5)]

    A = 10**Rational(3, 4)/10

    assert roots_binomial(Poly(5*x**4+2, x)) == \
        [A+I*A, -A+I*A, -A-I*A, A-I*A]

    a1 = Symbol('a1', nonnegative=True)
    b1 = Symbol('b1', nonnegative=True)

    r0 = roots_quadratic(Poly(a1*x**2 + b1, x))
    r1 = roots_binomial(Poly(a1*x**2 + b1, x))

    assert powsimp(r0[0]) == powsimp(r1[0])
    assert powsimp(r0[1]) == powsimp(r1[1])