Exemplos de fibonacci em Python

Exemplo n.º 1

Arquivo: test_comb_numbers.py Projeto: DVNSarma/sympy

def test_fibonacci():
    assert [fibonacci(n) for n in range(-3, 5)] == [2, -1, 1, 0, 1, 1, 2, 3]
    assert fibonacci(100) == 354224848179261915075
    assert [lucas(n) for n in range(-3, 5)] == [-4, 3, -1, 2, 1, 3, 4, 7]
    assert lucas(100) == 792070839848372253127

    assert fibonacci(1, x) == 1
    assert fibonacci(2, x) == x
    assert fibonacci(3, x) == x**2 + 1
    assert fibonacci(4, x) == x**3 + 2*x

Exemplo n.º 2

Arquivo: test_comb_numbers.py Projeto: SungSingSong/sympy

def test_fibonacci():
    assert [fibonacci(n) for n in range(-3, 5)] == [2, -1, 1, 0, 1, 1, 2, 3]
    assert fibonacci(100) == 354224848179261915075
    assert [lucas(n) for n in range(-3, 5)] == [-4, 3, -1, 2, 1, 3, 4, 7]
    assert lucas(100) == 792070839848372253127

    assert fibonacci(1, x) == 1
    assert fibonacci(2, x) == x
    assert fibonacci(3, x) == x**2 + 1
    assert fibonacci(4, x) == x**3 + 2*x

    # issue #8800
    n = Dummy('n')
    assert fibonacci(n).limit(n, S.Infinity) == S.Infinity
    assert lucas(n).limit(n, S.Infinity) == S.Infinity

Exemplo n.º 3

Arquivo: test_comb_numbers.py Projeto: A-turing-machine/sympy

def test_fibonacci():
    assert [fibonacci(n) for n in range(-3, 5)] == [2, -1, 1, 0, 1, 1, 2, 3]
    assert fibonacci(100) == 354224848179261915075
    assert [lucas(n) for n in range(-3, 5)] == [-4, 3, -1, 2, 1, 3, 4, 7]
    assert lucas(100) == 792070839848372253127

    assert fibonacci(1, x) == 1
    assert fibonacci(2, x) == x
    assert fibonacci(3, x) == x**2 + 1
    assert fibonacci(4, x) == x**3 + 2*x

    # issue #8800
    n = Dummy('n')
    assert fibonacci(n).limit(n, S.Infinity) == S.Infinity
    assert lucas(n).limit(n, S.Infinity) == S.Infinity

    assert fibonacci(n).rewrite(sqrt) == \
        2**(-n)*sqrt(5)*((1 + sqrt(5))**n - (-sqrt(5) + 1)**n) / 5
    assert fibonacci(n).rewrite(sqrt).subs(n, 10).expand() == fibonacci(10)
    assert lucas(n).rewrite(sqrt) == \
        (fibonacci(n-1).rewrite(sqrt) + fibonacci(n+1).rewrite(sqrt)).simplify()
    assert lucas(n).rewrite(sqrt).subs(n, 10).expand() == lucas(10)

Exemplo n.º 4

Arquivo: test_comb_numbers.py Projeto: dagidagi1/Matrix

def test_fibonacci():
    assert [fibonacci(n) for n in range(-3, 5)] == [2, -1, 1, 0, 1, 1, 2, 3]
    assert fibonacci(100) == 354224848179261915075
    assert [lucas(n) for n in range(-3, 5)] == [-4, 3, -1, 2, 1, 3, 4, 7]
    assert lucas(100) == 792070839848372253127

    assert fibonacci(1, x) == 1
    assert fibonacci(2, x) == x
    assert fibonacci(3, x) == x**2 + 1
    assert fibonacci(4, x) == x**3 + 2 * x

    # issue #8800
    n = Dummy('n')
    assert fibonacci(n).limit(n, S.Infinity) is S.Infinity
    assert lucas(n).limit(n, S.Infinity) is S.Infinity

    assert fibonacci(n).rewrite(sqrt) == \
        2**(-n)*sqrt(5)*((1 + sqrt(5))**n - (-sqrt(5) + 1)**n) / 5
    assert fibonacci(n).rewrite(sqrt).subs(n, 10).expand() == fibonacci(10)
    assert fibonacci(n).rewrite(GoldenRatio).subs(n,10).evalf() == \
        fibonacci(10)
    assert lucas(n).rewrite(sqrt) == \
        (fibonacci(n-1).rewrite(sqrt) + fibonacci(n+1).rewrite(sqrt)).simplify()
    assert lucas(n).rewrite(sqrt).subs(n, 10).expand() == lucas(10)
    raises(ValueError, lambda: fibonacci(-3, x))