Ë
    7^(h´	  ã                   ó^   — d Z ddlmZmZ ddlmZ dgZ G d„ de«      Zde_        d„ e_	        y)zHermitian conjugation.é    )ÚExprÚsympify)ÚadjointÚDaggerc                   ó(   — e Zd ZdZed„ «       Zdd„Zy)r   aÍ  General Hermitian conjugate operation.

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

    Take the Hermetian conjugate of an argument [1]_. For matrices this
    operation is equivalent to transpose and complex conjugate [2]_.

    Parameters
    ==========

    arg : Expr
        The SymPy expression that we want to take the dagger of.
    evaluate : bool
        Whether the resulting expression should be directly evaluated.

    Examples
    ========

    Daggering various quantum objects:

        >>> from sympy.physics.quantum.dagger import Dagger
        >>> from sympy.physics.quantum.state import Ket, Bra
        >>> from sympy.physics.quantum.operator import Operator
        >>> Dagger(Ket('psi'))
        <psi|
        >>> Dagger(Bra('phi'))
        |phi>
        >>> Dagger(Operator('A'))
        Dagger(A)

    Inner and outer products::

        >>> from sympy.physics.quantum import InnerProduct, OuterProduct
        >>> Dagger(InnerProduct(Bra('a'), Ket('b')))
        <b|a>
        >>> Dagger(OuterProduct(Ket('a'), Bra('b')))
        |b><a|

    Powers, sums and products::

        >>> A = Operator('A')
        >>> B = Operator('B')
        >>> Dagger(A*B)
        Dagger(B)*Dagger(A)
        >>> Dagger(A+B)
        Dagger(A) + Dagger(B)
        >>> Dagger(A**2)
        Dagger(A)**2

    Dagger also seamlessly handles complex numbers and matrices::

        >>> from sympy import Matrix, I
        >>> m = Matrix([[1,I],[2,I]])
        >>> m
        Matrix([
        [1, I],
        [2, I]])
        >>> Dagger(m)
        Matrix([
        [ 1,  2],
        [-I, -I]])

    References
    ==========

    .. [1] https://en.wikipedia.org/wiki/Hermitian_adjoint
    .. [2] https://en.wikipedia.org/wiki/Hermitian_transpose
    c                 ó4   — | j                   d   j                  S )zHFind the kind of a dagger of something (just the kind of the something).r   )ÚargsÚkind)Úselfs    úZ/var/www/skyplay_api_hub/venv/lib/python3.12/site-packages/sympy/physics/quantum/dagger.pyr
   zDagger.kindR   s   € ð �y‰y˜‰|× Ñ Ð ó    c                 óì   — t        |d«      r|r|j                  «       S t        |d«      r,t        |d«      r |r|j                  «       j                  «       S t	        j
                  | t        |«      «      S )Nr   Ú	conjugateÚ	transpose)Úhasattrr   r   r   r   Ú__new__r   )ÚclsÚargÚevaluates      r   r   zDagger.__new__W   sY   € Ü�3˜	Ô"¡xØ—;‘;“=Ð Ü�S˜+Ô&¬7°3¸Ô+DÉØ—=‘=“?×,Ñ,Ó.Ð.Ü�|‰|˜C¤¨£Ó.Ð.r   N)T)Ú__name__Ú
__module__Ú__qualname__Ú__doc__Úpropertyr
   r   © r   r   r   r      s"   „ ñDðL ñ!ó ð!ô/r   c                 óD   — d|j                  | j                  d   «      z  S )Nz
Dagger(%s)r   )Ú_printr	   )ÚaÚbs     r   ú<lambda>r    _   s   €  ,°·±¸!¿&¹&À¹)Ó1DÑ"D€ r   N)
r   Ú
sympy.corer   r   Ú$sympy.functions.elementary.complexesr   Ú__all__r   r   Ú
_sympyreprr   r   r   ú<module>r%      s;   ðÙ ç $Ý 8ð ð€ô
Q/ˆWô Q/ðf €Ô ÙD€Õ r   