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This module implements the SPARQL 1.1 Property path operators, as
defined in:
[http://www.w3.org/TR/sparql11-query/#propertypaths](http://www.w3.org/TR/sparql11-query/#propertypaths)

In SPARQL the syntax is as follows:

| Syntax              | Matches                                                                 |
|---------------------|-------------------------------------------------------------------------|
| `iri`               | An IRI. A path of length one.                                           |
| `^elt`              | Inverse path (object to subject).                                       |
| `elt1 / elt2`       | A sequence path of `elt1` followed by `elt2`.                           |
| `elt1 \| elt2`      | An alternative path of `elt1` or `elt2` (all possibilities are tried).  |
| `elt*`              | A path that connects subject and object by zero or more matches of `elt`.|
| `elt+`              | A path that connects subject and object by one or more matches of `elt`.|
| `elt?`              | A path that connects subject and object by zero or one matches of `elt`.|
| `!iri` or <br> `!(iri1 \| ... \| irin)` | Negated property set. An IRI not among `iri1` to `irin`. <br> `!iri` is short for `!(iri)`. |
| `!^iri` or <br> `!(^iri1 \| ... \| ^irin)` | Negated reverse property set. Excludes `^iri1` to `^irin` as reverse paths. <br> `!^iri` is short for `!(^iri)`. |
| `!(iri1 \| ... \| irij \| ^irij+1 \| ... \| ^irin)` | A combination of forward and reverse properties in a negated property set. |
| `(elt)`             | A grouped path `elt`, where parentheses control precedence.             |

This module is used internally by the SPARQL engine, but the property paths
can also be used to query RDFLib Graphs directly.

Where possible the SPARQL syntax is mapped to Python operators, and property
path objects can be constructed from existing URIRefs.

```python
>>> from rdflib import Graph, Namespace
>>> from rdflib.namespace import FOAF

>>> ~FOAF.knows
Path(~http://xmlns.com/foaf/0.1/knows)

>>> FOAF.knows/FOAF.name
Path(http://xmlns.com/foaf/0.1/knows / http://xmlns.com/foaf/0.1/name)

>>> FOAF.name|FOAF.givenName
Path(http://xmlns.com/foaf/0.1/name | http://xmlns.com/foaf/0.1/givenName)

```

Modifiers (?, \*, +) are done using \* (the multiplication operator) and
the strings '\*', '?', '+', also defined as constants in this file.

```python
>>> FOAF.knows*OneOrMore
Path(http://xmlns.com/foaf/0.1/knows+)

```

The path objects can also be used with the normal graph methods.

First some example data:

```python
>>> g=Graph()

>>> g=g.parse(data='''
... @prefix : <ex:> .
...
... :a :p1 :c ; :p2 :f .
... :c :p2 :e ; :p3 :g .
... :g :p3 :h ; :p2 :j .
... :h :p3 :a ; :p2 :g .
...
... :q :px :q .
...
... ''', format='n3') # doctest: +ELLIPSIS

>>> e = Namespace('ex:')

```

Graph contains:

```python
>>> (e.a, e.p1/e.p2, e.e) in g
True

```

Graph generator functions, triples, subjects, objects, etc. :

```python
>>> list(g.objects(e.c, (e.p3*OneOrMore)/e.p2)) # doctest: +NORMALIZE_WHITESPACE
[rdflib.term.URIRef('ex:j'), rdflib.term.URIRef('ex:g'),
    rdflib.term.URIRef('ex:f')]

```

A more complete set of tests:

```python
>>> list(eval_path(g, (None, e.p1/e.p2, None)))==[(e.a, e.e)]
True
>>> list(eval_path(g, (e.a, e.p1|e.p2, None)))==[(e.a,e.c), (e.a,e.f)]
True
>>> list(eval_path(g, (e.c, ~e.p1, None))) == [ (e.c, e.a) ]
True
>>> list(eval_path(g, (e.a, e.p1*ZeroOrOne, None))) == [(e.a, e.a), (e.a, e.c)]
True
>>> list(eval_path(g, (e.c, e.p3*OneOrMore, None))) == [
...     (e.c, e.g), (e.c, e.h), (e.c, e.a)]
True
>>> list(eval_path(g, (e.c, e.p3*ZeroOrMore, None))) == [(e.c, e.c),
...     (e.c, e.g), (e.c, e.h), (e.c, e.a)]
True
>>> list(eval_path(g, (e.a, -e.p1, None))) == [(e.a, e.f)]
True
>>> list(eval_path(g, (e.a, -(e.p1|e.p2), None))) == []
True
>>> list(eval_path(g, (e.g, -~e.p2, None))) == [(e.g, e.j)]
True
>>> list(eval_path(g, (e.e, ~(e.p1/e.p2), None))) == [(e.e, e.a)]
True
>>> list(eval_path(g, (e.a, e.p1/e.p3/e.p3, None))) == [(e.a, e.h)]
True

>>> list(eval_path(g, (e.q, e.px*OneOrMore, None)))
[(rdflib.term.URIRef('ex:q'), rdflib.term.URIRef('ex:q'))]

>>> list(eval_path(g, (None, e.p1|e.p2, e.c)))
[(rdflib.term.URIRef('ex:a'), rdflib.term.URIRef('ex:c'))]

>>> list(eval_path(g, (None, ~e.p1, e.a))) == [ (e.c, e.a) ]
True
>>> list(eval_path(g, (None, e.p1*ZeroOrOne, e.c))) # doctest: +NORMALIZE_WHITESPACE
[(rdflib.term.URIRef('ex:c'), rdflib.term.URIRef('ex:c')),
 (rdflib.term.URIRef('ex:a'), rdflib.term.URIRef('ex:c'))]

>>> list(eval_path(g, (None, e.p3*OneOrMore, e.a))) # doctest: +NORMALIZE_WHITESPACE
[(rdflib.term.URIRef('ex:h'), rdflib.term.URIRef('ex:a')),
 (rdflib.term.URIRef('ex:g'), rdflib.term.URIRef('ex:a')),
 (rdflib.term.URIRef('ex:c'), rdflib.term.URIRef('ex:a'))]

>>> list(eval_path(g, (None, e.p3*ZeroOrMore, e.a))) # doctest: +NORMALIZE_WHITESPACE
[(rdflib.term.URIRef('ex:a'), rdflib.term.URIRef('ex:a')),
 (rdflib.term.URIRef('ex:h'), rdflib.term.URIRef('ex:a')),
 (rdflib.term.URIRef('ex:g'), rdflib.term.URIRef('ex:a')),
 (rdflib.term.URIRef('ex:c'), rdflib.term.URIRef('ex:a'))]

>>> list(eval_path(g, (None, -e.p1, e.f))) == [(e.a, e.f)]
True
>>> list(eval_path(g, (None, -(e.p1|e.p2), e.c))) == []
True
>>> list(eval_path(g, (None, -~e.p2, e.j))) == [(e.g, e.j)]
True
>>> list(eval_path(g, (None, ~(e.p1/e.p2), e.a))) == [(e.e, e.a)]
True
>>> list(eval_path(g, (None, e.p1/e.p3/e.p3, e.h))) == [(e.a, e.h)]
True

>>> list(eval_path(g, (e.q, e.px*OneOrMore, None)))
[(rdflib.term.URIRef('ex:q'), rdflib.term.URIRef('ex:q'))]

>>> list(eval_path(g, (e.c, (e.p2|e.p3)*ZeroOrMore, e.j)))
[(rdflib.term.URIRef('ex:c'), rdflib.term.URIRef('ex:j'))]

```

No vars specified:

```python
>>> sorted(list(eval_path(g, (None, e.p3*OneOrMore, None)))) #doctest: +NORMALIZE_WHITESPACE
[(rdflib.term.URIRef('ex:c'), rdflib.term.URIRef('ex:a')),
 (rdflib.term.URIRef('ex:c'), rdflib.term.URIRef('ex:g')),
 (rdflib.term.URIRef('ex:c'), rdflib.term.URIRef('ex:h')),
 (rdflib.term.URIRef('ex:g'), rdflib.term.URIRef('ex:a')),
 (rdflib.term.URIRef('ex:g'), rdflib.term.URIRef('ex:h')),
 (rdflib.term.URIRef('ex:h'), rdflib.term.URIRef('ex:a'))]

```
    )annotationsN)ABCabstractmethod)total_ordering)
TYPE_CHECKINGAnyCallable	GeneratorIteratorListOptionalSetTupleUnion)NodeURIRef)_MulPathMod)Graph_ObjectType_PredicateType_SubjectType)NamespaceManager*+?argUnion[URIRef, Path]namespace_managerOptional[NamespaceManager]returnstrc                 C  s4   t | ttfrt| jdkrd| | S | |S )N   z(%s))
isinstanceSequencePathAlternativePathlenargsn3)r   r    r(   F/home/kim/smarthome/.venv/lib/python3.10/site-packages/rdflib/paths.py_n3   s   
r*   c                   @  sx   e Zd ZU dZded< ded< ded< ded	< d
ed< e		d%d&ddZed'd(ddZdd Zdd Z	d)d#d$Z
dS )*Pathz"Base class for all property paths.z6Callable[[Path, Union[URIRef, Path]], AlternativePath]__or__zCallable[[Path], InvPath]
__invert__zCallable[[Path], NegatedPath]__neg__z3Callable[[Path, Union[URIRef, Path]], SequencePath]__truediv__zCallable[[Path, str], MulPath]__mul__Ngraphr   subjOptional[_SubjectType]objOptional[_ObjectType]r   *Iterator[Tuple[_SubjectType, _ObjectType]]c                 C     d S Nr(   )selfr1   r2   r4   r(   r(   r)   eval   s   z	Path.evalr   r   r    c                 C  r7   r8   r(   r9   r   r(   r(   r)   r'      s   zPath.n3c                 C  s   t t| S r8   )hashreprr9   r(   r(   r)   __hash__      zPath.__hash__c                 C  s   t | t |kS r8   )r=   r9   otherr(   r(   r)   __eq__      zPath.__eq__rB   r   boolc                 C  s6   t |ttfstdt| t|f t| t|k S )Nzunorderable types: %s() < %s())r"   r+   r   	TypeErrorr=   rA   r(   r(   r)   __lt__   s
   zPath.__lt__NN)r1   r   r2   r3   r4   r5   r   r6   r8   r   r   r   r    )rB   r   r   rE   )__name__
__module____qualname____doc____annotations__r   r:   r'   r?   rC   rG   r(   r(   r(   r)   r+      s    
 r+   c                   @  <   e Zd ZdddZ		ddddZdddZddddZdS )InvPathr   Union[Path, URIRef]c                 C  s
   || _ d S r8   r   r9   r   r(   r(   r)   __init__   s   
zInvPath.__init__Nr1   r   r2   r3   r4   r5   r   7Generator[Tuple[_ObjectType, _SubjectType], None, None]c                 c  s,    t ||| j|fD ]	\}}||fV  q
d S r8   )	eval_pathr   )r9   r1   r2   r4   sor(   r(   r)   r:      s   zInvPath.evalr    c                 C  s   d| j f S )Nz	Path(~%s)rR   r>   r(   r(   r)   __repr__	  r@   zInvPath.__repr__r   r   c                 C  s   dt | j| S )Nz^%s)r*   r   r;   r(   r(   r)   r'     rD   z
InvPath.n3)r   rQ   rH   )r1   r   r2   r3   r4   r5   r   rU   r   r    r8   rI   rJ   rK   rL   rT   r:   rY   r'   r(   r(   r(   r)   rP      s    

	rP   c                   @  rO   )r#   r&   rQ   c                 G  <   g | _ |D ]}t|tr|  j |j 7  _ q| j | qd S r8   )r&   r"   r#   appendr9   r&   ar(   r(   r)   rT        
zSequencePath.__init__Nr1   r   r2   r3   r4   r5   r   7Generator[Tuple[_SubjectType, _ObjectType], None, None]c                   sR   d fd	d
 d fdd}|r | j ||S |r"|| j ||S  | j ||S )NpathsList[Union[Path, URIRef]]r2   r3   r4   r5   r   ra   c                 3  s    | dd  r,t || d d fD ]\}} | dd  ||D ]	}||d fV  qqd S t || d |fD ]	\}}||fV  q6d S )Nr!   r   rV   rb   r2   r4   rW   rX   r	_eval_seqr1   r(   r)   rh        z$SequencePath.eval.<locals>._eval_seqr   c                 3  s    | d d r,t d | d |fD ]\}} | d d ||D ]	}|d |fV  qqd S t || d |fD ]	\}}||fV  q6d S )Nr   rd   re   rg   r(   r)   _eval_seq_bw-  ri   z'SequencePath.eval.<locals>._eval_seq_bw)rb   rc   r2   r3   r4   r5   r   ra   )rb   rc   r2   r3   r4   r   r   ra   )r&   )r9   r1   r2   r4   rk   r(   rg   r)   r:     s   zSequencePath.evalr    c                 C     dd dd | jD  S )NPath(%s)z / c                 s      | ]}t |V  qd S r8   r    .0xr(   r(   r)   	<genexpr>C      z(SequencePath.__repr__.<locals>.<genexpr>joinr&   r>   r(   r(   r)   rY   B     zSequencePath.__repr__r   r   c                      d  fdd| jD S )N/c                 3      | ]}t | V  qd S r8   r*   rq   r_   r   r(   r)   rs   F      z"SequencePath.n3.<locals>.<genexpr>ru   r;   r(   r}   r)   r'   E  rw   zSequencePath.n3r&   rQ   rH   r1   r   r2   r3   r4   r5   r   ra   rZ   r8   rI   r[   r(   r(   r(   r)   r#     s    

)r#   c                   @  rO   )r$   r&   rQ   c                 G  r\   r8   )r&   r"   r$   r]   r^   r(   r(   r)   rT   J  r`   zAlternativePath.__init__Nr1   r   r2   r3   r4   r5   r   ra   c                 c  s.    | j D ]}t||||fD ]}|V  qqd S r8   )r&   rV   )r9   r1   r2   r4   rr   yr(   r(   r)   r:   R  s   
zAlternativePath.evalr    c                 C  rl   )Nrm   z | c                 s  rn   r8   ro   rp   r(   r(   r)   rs   ]  rt   z+AlternativePath.__repr__.<locals>.<genexpr>ru   r>   r(   r(   r)   rY   \  rw   zAlternativePath.__repr__r   r   c                   rx   )N|c                 3  rz   r8   r{   r|   r}   r(   r)   rs   `  r~   z%AlternativePath.n3.<locals>.<genexpr>ru   r;   r(   r}   r)   r'   _  rw   zAlternativePath.n3r   rH   r   rZ   r8   rI   r[   r(   r(   r(   r)   r$   I  s    


r$   c                   @  s>   e Zd ZdddZ			ddddZdddZd d!ddZdS )"MulPathpathrQ   modr   c                 C  s`   || _ || _|tkrd| _d| _d S |tkrd| _d| _d S |tkr*d| _d| _d S td| )NTFzUnknown modifier %s)r   r   	ZeroOrOnezeromore
ZeroOrMore	OneOrMore	Exception)r9   r   r   r(   r(   r)   rT   d  s   


zMulPath.__init__NTr1   r   r2   r3   r4   r5   firstrE   r   ra   c                 #  s"   j r#|r#|r|r||kr||fV  n|r||fV  n|r#||fV  	 	 	 ddfd	d
	 	 	 dd fdd dfdd}t }|rc||t D ]}||vr`|| |V  qRd S |r} ||t D ]}||vrz|| |V  qld S | D ]}||vr|| |V  qd S )Nr2   r3   r4   r5   seenOptional[Set[_SubjectType]]r   ra   c                 3  sr    | |  t| jd fD ]'\}}|r||kr||fV  jr6||v r&q |||D ]	\}}||fV  q,qd S r8   addrV   r   r   r2   r4   r   rW   rX   s2o2_fwdr1   r9   r(   r)   r     s   

zMulPath.eval.<locals>._fwdOptional[Set[_ObjectType]]c                 3  sr    | | td j|fD ]'\}}| r| |kr||fV  jr6||v r&q d ||D ]	\}}||fV  q,qd S r8   r   r   )_bwdr1   r9   r(   r)   r     s   

zMulPath.eval.<locals>._bwdc                  3  s    j r-t } d D ] \}}|| vr| | ||fV  || vr,| | ||fV  qt }td jd fD ]1\}}jsF||fV  q9||vrj|| t |d t }|D ]\}}||ksdJ ||fV  qZq9d S r8   )r   setZsubject_objectsr   rV   r   r   list)Zseen1rW   rX   r   fs1Zo1r   r(   r)   _all_fwd_paths  s.   




z$MulPath.eval.<locals>._all_fwd_paths)NNN)r2   r3   r4   r5   r   r   r   ra   )r2   r3   r4   r5   r   r   r   ra   )r   ra   )r   r   r   )r9   r1   r2   r4   r   r   donerr   r(   )r   r   r1   r9   r)   r:   t  sP   






zMulPath.evalr    c                 C  s   d| j | jf S )Nz
Path(%s%s))r   r   r>   r(   r(   r)   rY     rD   zMulPath.__repr__r   r   c                 C  s   dt | j|| jf S )Nz%s%s)r*   r   r   r;   r(   r(   r)   r'     s   z
MulPath.n3)r   rQ   r   r   )NNT)
r1   r   r2   r3   r4   r5   r   rE   r   ra   rZ   r8   rI   r[   r(   r(   r(   r)   r   c  s    

dr   c                   @  s6   e Zd ZdddZdddZdd
dZddddZdS )NegatedPathr   'Union[AlternativePath, InvPath, URIRef]c                 C  sF   |  t |ttfr|g| _d S t |tr|j| _d S tdd|f  )Nz%Can only negate URIRefs, InvPaths or zAlternativePaths, not: %s)r"   r   rP   r&   r$   r   rS   r(   r(   r)   rT     s   
zNegatedPath.__init__Nc                 c  sz    | |d |fD ]1\}}}| jD ]#}t|tr||kr nqt|tr/||j|f|v r. nqtd| ||fV  q	d S )NzInvalid path in NegatedPath: %s)triplesr&   r"   r   rP   r   r   )r9   r1   r2   r4   rW   prX   r_   r(   r(   r)   r:     s   



zNegatedPath.evalr   r    c                 C  rl   )Nz
Path(! %s),c                 s  rn   r8   ro   rp   r(   r(   r)   rs     rt   z'NegatedPath.__repr__.<locals>.<genexpr>ru   r>   r(   r(   r)   rY     rw   zNegatedPath.__repr__r   r   c                   s   dd  fdd| jD  S )Nz!(%s)r   c                 3  rz   r8   r{   )rq   r   r}   r(   r)   rs     r~   z!NegatedPath.n3.<locals>.<genexpr>ru   r;   r(   r}   r)   r'     s   zNegatedPath.n3)r   r   rH   rZ   r8   rI   r[   r(   r(   r(   r)   r     s
    


r   c                   @  s   e Zd ZdS )PathListN)rJ   rK   rL   r(   r(   r(   r)   r     s    r   r9   rB   c                 C      t |ttfstdt| |S )z
    alternative path
    &Only URIRefs or Paths can be in paths!)r"   r   r+   r   r$   rA   r(   r(   r)   path_alternative     
r   c                 C  r   )z
    sequence path
    r   )r"   r   r+   r   r#   rA   r(   r(   r)   path_sequence  r   r   r1   r   tWTuple[Optional[_SubjectType], Union[None, Path, _PredicateType], Optional[_ObjectType]]r6   c                 C  s   t td t| |S )Nzrdflib.path.evalPath() is deprecated, use the (snake-cased) eval_path(). The mixed-case evalPath() function name is incompatible with PEP8 recommendations and will be replaced by eval_path() in rdflib 7.0.0.)warningswarnDeprecationWarningrV   r1   r   r(   r(   r)   evalPath  s   
r   c                 C  s   dd |  |D S )Nc                 s  s    | ]
\}}}||fV  qd S r8   r(   )rq   rW   r   rX   r(   r(   r)   rs   1  s    zeval_path.<locals>.<genexpr>)r   r   r(   r(   r)   rV   )  s   rV   r   mulr   c                 C  s
   t | |S )z
    cardinality path
    )r   )r   r   r(   r(   r)   mul_path4  s   
r   c                 C     t | S )z
    inverse path
    )rP   r   r(   r(   r)   inv_path;     r   'Union[URIRef, AlternativePath, InvPath]c                 C  r   )z
    negated path
    )r   r   r(   r(   r)   neg_pathB  r   r   __main__r8   )r   r   r   r   r   r    )r9   r   rB   r   )r1   r   r   r   r   r6   )r   r   r   r   r   r   )r   r   r   rP   )r   r   r   r   )9rM   
__future__r   r   abcr   r   	functoolsr   typingr   r   r   r	   r
   r   r   r   r   r   Zrdflib.termr   r   Zrdflib._type_checkingr   Zrdflib.graphr   r   r   r   Zrdflib.namespacer   r   r   r   r*   r+   rP   r#   r$   r   r   r   r   r   r   r   rV   r   r   r   rJ   r,   r0   r-   r.   r/   r(   r(   r(   r)   <module>   sX     00"9|"

	
	




