Exemple #1
0
def test_finite_basic():
    x = Symbol('x')
    A = FiniteSet(1, 2, 3)
    B = FiniteSet(3, 4, 5)
    AorB = Union(A, B)
    AandB = A.intersect(B)
    assert AorB.subset(A) and AorB.subset(B)
    assert A.subset(AandB)
    assert AandB == FiniteSet(3)

    assert A.inf == 1 and A.sup == 3
    assert AorB.inf == 1 and AorB.sup == 5
    assert FiniteSet(x, 1, 5).sup == Max(x, 5)
    assert FiniteSet(x, 1, 5).inf == Min(x, 1)

    # Ensure a variety of types can exist in a FiniteSet
    S = FiniteSet((1, 2), Float, A, -5, x, 'eggs', x**2, Interval)

    assert (A > B) is False
    assert (A >= B) is False
    assert (A < B) is False
    assert (A <= B) is False
    assert AorB > A and AorB > B
    assert AorB >= A and AorB >= B
    assert A >= A and A <= A
    assert A >= AandB and B >= AandB
    assert A > AandB and B > AandB
Exemple #2
0
def test_finite_basic():
    x = Symbol('x')
    A = FiniteSet(1, 2, 3)
    B = FiniteSet(3, 4, 5)
    AorB = Union(A, B)
    AandB = A.intersect(B)
    assert AorB.subset(A) and AorB.subset(B)
    assert A.subset(AandB)
    assert AandB == FiniteSet(3)

    assert A.inf == 1 and A.sup == 3
    assert AorB.inf == 1 and AorB.sup == 5
    assert FiniteSet(x, 1, 5).sup == Max(x, 5)
    assert FiniteSet(x, 1, 5).inf == Min(x, 1)

    # Ensure a variety of types can exist in a FiniteSet
    S = FiniteSet((1, 2), Float, A, -5, x, 'eggs', x**2, Interval)

    assert (A > B) is False
    assert (A >= B) is False
    assert (A < B) is False
    assert (A <= B) is False
    assert AorB > A and AorB > B
    assert AorB >= A and AorB >= B
    assert A >= A and A <= A
    assert A >= AandB and B >= AandB
    assert A > AandB and B > AandB
Exemple #3
0
def test_finite_basic():
    x = Symbol("x")
    A = FiniteSet(1, 2, 3)
    B = FiniteSet(3, 4, 5)
    AorB = Union(A, B)
    AandB = A.intersect(B)
    assert AorB.subset(A) and AorB.subset(B)
    assert A.subset(AandB)
    assert AandB == FiniteSet(3)

    assert A.inf == 1 and A.sup == 3
    assert AorB.inf == 1 and AorB.sup == 5
    assert FiniteSet(x, 1, 5).sup == Max(x, 5)
    assert FiniteSet(x, 1, 5).inf == Min(x, 1)

    # Ensure a variety of types can exist in a FiniteSet
    S = FiniteSet((1, 2), Float, A, -5, x, "eggs", x ** 2, Interval)
# Diferencia entre conjuntos
print A - B
print B - A

"""
Conjunto y operaciones con conjuntos usando la libreria SYMPY
"""

# Utilizando FiniteSet de sympy
from sympy import FiniteSet
C = FiniteSet(1, 2, 3)

# Subconjunto y subconjunto propio
A = FiniteSet(1,2,3)
B = FiniteSet(1,2,3,4,5)
A.subset(B)

# Union de dos conjuntos
A = FiniteSet(1, 2, 3)
B = FiniteSet(2, 4, 6)
A.union(B)


# Interseccion de dos conjuntos
A = FiniteSet(1, 2) 
B = FiniteSet(2, 3) 
A.intersect(B)


# Diferencia entre conjuntos
print A - B