U
    @f                  ,   @   s`  d dl m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lmZmZmZmZmZ d dlmZ d dlmZ d d	lmZmZ d d
lmZmZmZmZ d dlmZmZ d dlm Z m!Z!m"Z"m#Z#m$Z$ d dl%m&Z& d)ddZ'dd Z(dd Z)dd Z*e	de
dededededede$ de# de" de! de  dededed ed!ed"ed#ed$ed%ed&ed'iZ+d(S )*    )smtlib_code)AppliedPredicate)
EncodedCNF)Q)AddMul)EqualityLessThanGreaterThanStrictLessThanStrictGreaterThan)Abs)Pow)MinMax)AndOrXorImplies)NotITE)StrictGreaterThanPredicateStrictLessThanPredicateGreaterThanPredicateLessThanPredicateEqualityPredicate)import_moduleFc                 C   sv   t | tst }||  |} td}|d kr6tdt| |}t| }|dkrXdS |dkrnt|	 | S d S d S )Nz3zz3 is not installedZunsatFsat)

isinstancer   Zadd_propr   ImportErrorencoded_cnf_to_z3_solverstrcheckz3_model_to_sympy_modelmodel)exprZ
all_modelsexprsr   sres r*   E/tmp/pip-unpacked-wheel-6uje5nh9/sympy/logic/algorithms/z3_wrapper.pyz3_satisfiable   s    


r,   c                    s(   dd |j  D   fddD S )Nc                 S   s   i | ]\}}||qS r*   r*   ).0keyvaluer*   r*   r+   
<dictcomp>&   s      z+z3_model_to_sympy_model.<locals>.<dictcomp>c                    s.   i | ]&} t | d d  t| qS )   N)intnameboolr-   varZrev_encz3_modelr*   r+   r0   '   s      )encodingitems)r8   enc_cnfr*   r7   r+   r$   %   s    r$   c                 C   s    dd | D }dd | d S )Nc                 S   s2   g | ]*}|d krdt | ndt | dqS )r   dz(not d))abs)r-   Zlitr*   r*   r+   
<listcomp>+   s     z'clause_to_assertion.<locals>.<listcomp>z(assert (or  z)))join)clauseZclause_stringsr*   r*   r+   clause_to_assertion*   s    rC   c                 C   s4  dd }|  }dd | jD }dd | jD }t }| j D ]\}}t|tsTq@|jt	j
t	jt	jt	jt	jt	jt	jt	jt	jt	jt	jt	jt	jt	jt	jt	jt	jfkrq@t|ddtd}	||jO }|	}d| d	| d
}
d|
 d
 }|| q@|D ]}|d| d qd|}d|}| | | | |S )Nc                 S   s&   dS | jtjtjtjfkr| S dS d S )NF)r   r   AssertionErrorfunctionr   positivenegativezero)predr*   r*   r+   dummify_bool0   s
     z.encoded_cnf_to_z3_solver.<locals>.dummify_boolc                 S   s   g | ]}d | dqS )z(declare-const dz Bool)r*   r5   r*   r*   r+   r?   ;   s     z,encoded_cnf_to_z3_solver.<locals>.<listcomp>c                 S   s   g | ]}t |qS r*   )rC   )r-   rB   r*   r*   r+   r?   <   s     F)Zauto_declareZauto_assertknown_functionsz
(implies dr@   r=   z(assert z(declare-const z Real)
)!ZSolver	variablesdatasetr9   r:   r   r   rE   r   gtltgeleneeqrF   rG   Zextended_negativeZextended_positiverH   ZnonzeroZnonnegativenonpositiveZextended_nonzeroZextended_nonnegativeZextended_nonpositiver   rK   Zfree_symbolsappendrA   Zfrom_string)r;   r   rJ   r(   ZdeclarationsZ
assertionssymbolsrI   encZpred_strrB   Z	assertionsymr*   r*   r+   r!   /   s.    	
N




r!   +*=z<=z>=<>r>   minmax^andorxornotZitez=>N)F),Zsympy.printing.smtlibr   Zsympy.assumptions.assumer   Zsympy.assumptions.cnfr   Zsympy.assumptions.askr   Z
sympy.corer   r   Zsympy.core.relationalr   r	   r
   r   r   Z$sympy.functions.elementary.complexesr   Z&sympy.functions.elementary.exponentialr   Z(sympy.functions.elementary.miscellaneousr   r   Zsympy.logic.boolalgr   r   r   r   r   r   Z#sympy.assumptions.relation.equalityr   r   r   r   r   Zsympy.externalr   r,   r$   rC   r!   rK   r*   r*   r*   r+   <module>   sz   
*                      