
    Ed                     F    d Z ddlmZ ddlmZ ddlmZ ddlmZm	Z	 d	dZ
dS )
z5 Functions to support rewriting of SymPy expressions     )Expr)ask)subs)rebuildunify Nc                 $     d fd	}|S )a   Rewrite rule.

    Transform expressions that match source into expressions that match target
    treating all ``variables`` as wilds.

    Examples
    ========

    >>> from sympy.abc import w, x, y, z
    >>> from sympy.unify.rewrite import rewriterule
    >>> from sympy import default_sort_key
    >>> rl = rewriterule(x + y, x**y, [x, y])
    >>> sorted(rl(z + 3), key=default_sort_key)
    [3**z, z**3]

    Use ``condition`` to specify additional requirements.  Inputs are taken in
    the same order as is found in variables.

    >>> rl = rewriterule(x + y, x**y, [x, y], lambda x, y: x.is_integer)
    >>> list(rl(z + 3))
    [3**z]

    Use ``assume`` to specify additional requirements using new assumptions.

    >>> from sympy.assumptions import Q
    >>> rl = rewriterule(x + y, x**y, [x, y], assume=Q.integer(x))
    >>> list(rl(z + 3))
    [3**z]

    Assumptions for the local context are provided at rule runtime

    >>> list(rl(w + z, Q.integer(z)))
    [z**w]
    Tc              3   .  K   t          | i           D ]|r fdD              sr$t                                        |          s< t                              }t	          |t
                    rt          |          }|V  }d S )N)	variablesc                 <    g | ]}                     ||          S r   )get).0varmatchs     3lib/python3.11/site-packages/sympy/unify/rewrite.py
<listcomp>z3rewriterule.<locals>.rewrite_rl.<locals>.<listcomp>/   s'    III		#s 3 3III    )r   r   xreplacer   
isinstancer   r   )	exprassumptionsexpr2r   assume	conditionsourcetargetr   s	      @r   
rewrite_rlzrewriterule.<locals>.rewrite_rl,   s      64yAAA 		 		E IIIIIyIIIJ s6??5#9#9;GG DKK''E%&& 'KKKK		 		r   )Tr   )r   r   r   r   r   r   s   ````` r   rewriteruler      sB    H
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 r   )r   NN)__doc__sympy.core.exprr   sympy.assumptionsr   sympy.strategies.toolsr   sympy.unify.usympyr   r   r   r   r   r   <module>r$      sw    ; ;             ! ! ! ! ! ! ' ' ' ' ' ' - - - - - - - -/ / / / / /r   