
    ga                     t    d dl mZ d dlmZ  G d de      Z G d de      Z G d de      Z G d	 d
e      Zy)    )	Predicate)
Dispatcherc                   (    e Zd ZdZdZ edd      Zy)FinitePredicatea  
    Finite number predicate.

    Explanation
    ===========

    ``Q.finite(x)`` is true if ``x`` is a number but neither an infinity
    nor a ``NaN``. In other words, ``ask(Q.finite(x))`` is true for all
    numerical ``x`` having a bounded absolute value.

    Examples
    ========

    >>> from sympy import Q, ask, S, oo, I, zoo
    >>> from sympy.abc import x
    >>> ask(Q.finite(oo))
    False
    >>> ask(Q.finite(-oo))
    False
    >>> ask(Q.finite(zoo))
    False
    >>> ask(Q.finite(1))
    True
    >>> ask(Q.finite(2 + 3*I))
    True
    >>> ask(Q.finite(x), Q.positive(x))
    True
    >>> print(ask(Q.finite(S.NaN)))
    None

    References
    ==========

    .. [1] https://en.wikipedia.org/wiki/Finite

    finiteFiniteHandlerzVHandler for Q.finite. Test that an expression is bounded respect to all its variables.docN__name__
__module____qualname____doc__namer   handler     Z/var/www/openai/venv/lib/python3.12/site-packages/sympy/assumptions/predicates/calculus.pyr   r      s!    #H D!Gr   r   c                   (    e Zd ZdZdZ edd      Zy)InfinitePredicatezu
    Infinite number predicate.

    ``Q.infinite(x)`` is true iff the absolute value of ``x`` is
    infinity.

    infiniteInfiniteHandlerzHandler for Q.infinite key.r	   Nr   r   r   r   r   r   1   s     D-Gr   r   c                   $    e Zd ZdZdZ ed      Zy)PositiveInfinitePredicatezu
    Positive infinity predicate.

    ``Q.positive_infinite(x)`` is true iff ``x`` is positive infinity ``oo``.
    positive_infinitePositiveInfiniteHandlerNr   r   r   r   r   r   A       
 D23Gr   r   c                   $    e Zd ZdZdZ ed      Zy)NegativeInfinitePredicatezv
    Negative infinity predicate.

    ``Q.negative_infinite(x)`` is true iff ``x`` is negative infinity ``-oo``.
    negative_infiniteNegativeInfiniteHandlerNr   r   r   r   r   r   K   r   r   r   N)sympy.assumptionsr   sympy.multipledispatchr   r   r   r   r   r   r   r   <module>r$      s<    ' -*i *Z	  4	 44	 4r   