
    wgR                          d dl mZ d dlmZ d dlmZ d dlmZmZm	Z	 d dl
mZ dgZeddd	fed
diffZeeee	fZddZefdZddZeeddfdZd ddfdZdZdddZed ddefdZy)    )Basic)Expr)Symbol)IntegerRationalFloat)sreprdotprintblueellipse)colorshaper   blackc                    d}t        | t              st        |       }ng| j                  st	        |       }nO| j                  }t        t        t        |            }t        |       j                  ddj                  |      d}|r||f}|S )aN  A string that follows ```obj = type(obj)(*obj.args)``` exactly.

    Parameters
    ==========

    with_args : boolean, optional
        If ``True``, there will be a second argument for the return
        value, which is a tuple containing ``purestr`` applied to each
        of the subnodes.

        If ``False``, there will not be a second argument for the
        return.

        Default is ``False``

    Examples
    ========

    >>> from sympy import Float, Symbol, MatrixSymbol
    >>> from sympy import Integer # noqa: F401
    >>> from sympy.core.symbol import Str # noqa: F401
    >>> from sympy.printing.dot import purestr

    Applying ``purestr`` for basic symbolic object:
    >>> code = purestr(Symbol('x'))
    >>> code
    "Symbol('x')"
    >>> eval(code) == Symbol('x')
    True

    For basic numeric object:
    >>> purestr(Float(2))
    "Float('2.0', precision=53)"

    For matrix symbol:
    >>> code = purestr(MatrixSymbol('x', 2, 2))
    >>> code
    "MatrixSymbol(Str('x'), Integer(2), Integer(2))"
    >>> eval(code) == MatrixSymbol('x', 2, 2)
    True

    With ``with_args=True``:
    >>> purestr(Float(2), with_args=True)
    ("Float('2.0', precision=53)", ())
    >>> purestr(MatrixSymbol('x', 2, 2), with_args=True)
    ("MatrixSymbol(Str('x'), Integer(2), Integer(2))",
     ("Str('x')", 'Integer(2)', 'Integer(2)'))
     (, ))
isinstancer   strargsr	   tuplemappurestrtype__name__join)x	with_argssargsrvr   s        W/home/mcse/projects/flask/flask-venv/lib/python3.12/site-packages/sympy/printing/dot.pyr   r      su    b EaVVV1Xvvc'4()Aw''5)9:YI    c                 Z    i }|D ]#  \  }}t        | |      s|j                  |       % |S )a   Merge style dictionaries in order

    Examples
    ========

    >>> from sympy import Symbol, Basic, Expr, S
    >>> from sympy.printing.dot import styleof
    >>> styles = [(Basic, {'color': 'blue', 'shape': 'ellipse'}),
    ...           (Expr,  {'color': 'black'})]

    >>> styleof(Basic(S(1)), styles)
    {'color': 'blue', 'shape': 'ellipse'}

    >>> x = Symbol('x')
    >>> styleof(x + 1, styles)  # this is an Expr
    {'color': 'black', 'shape': 'ellipse'}
    )r   update)exprstylesstyletypstys        r"   styleofr+   N   s9    $ E SdC LL Lr#   c                 `    |j                  d t        | j                               D              S )z Print a dictionary of attributes

    Examples
    ========

    >>> from sympy.printing.dot import attrprint
    >>> print(attrprint({'color': 'blue', 'shape': 'ellipse'}))
    "color"="blue", "shape"="ellipse"
    c              3   &   K   | ]	  }d |z    yw)z	"%s"="%s"Nr   ).0items     r"   	<genexpr>zattrprint.<locals>.<genexpr>q   s     It+d*Is   )r   sorteditems)d	delimiters     r"   	attrprintr5   g   s$     >>Ivaggi7HIIIr#   r   Tc                    t        | |      }t        | t              r,| j                  s t	        | j
                  j                        }n ||       }||d<   t        |       }|r|dt	        |      z  z  }d|dt        |      dS )z String defining a node

    Examples
    ========

    >>> from sympy.printing.dot import dotnode
    >>> from sympy.abc import x
    >>> print(dotnode(x))
    "Symbol('x')_()" ["color"="black", "label"="x", "shape"="ellipse"];
    label_%s"z" [z];)	r+   r   r   is_Atomr   	__class__r   r   r5   )r&   r'   	labelfuncposrepeatr(   r7   expr_strs           r"   dotnoder@   t   sv     D&!E$t||DNN++,$E'Nt}HECH$$#Yu%566r#   c                 $    t        | t               S Nr   r   r   s    r"   <lambda>rE      s    jE&:": r#   c           
           ||       rg S t        | d      \  }}|r@|dt        |      z  z  }t        |      D cg c]  \  }}|dt        ||fz          }}}|D cg c]  }d|d|d c}S c c}}w c c}w )a   List of strings for all expr->expr.arg pairs

    See the docstring of dotprint for explanations of the options.

    Examples
    ========

    >>> from sympy.printing.dot import dotedges
    >>> from sympy.abc import x
    >>> for e in dotedges(x+2):
    ...     print(e)
    "Add(Integer(2), Symbol('x'))_()" -> "Integer(2)_(0,)";
    "Add(Integer(2), Symbol('x'))_()" -> "Symbol('x')_(1,)";
    T)r   r8   _r9   z" -> "z";)r   r   	enumerate)r&   atomr=   r>   r?   arg_strsias           r"   dotedgesrM      s     Dz	$TT:(C((H%h/1Aq $%c#*o6 1H 19ABA8Q/BB1Bs   A4!A:z|digraph{

# Graph style
%(graphstyle)s

#########
# Nodes #
#########

%(nodes)s

#########
# Edges #
#########

%(edges)s
}TDout)rankdirorderingc                 $    t        | t               S rB   rC   rD   s    r"   rE   rE      s    jE.B*B r#   Nc           	         	
 t         j                         }|j                  |       g 	g d	
fd	
 
| d       t        t	        |d      dj                  	      dj                        dz  S )a	  DOT description of a SymPy expression tree

    Parameters
    ==========

    styles : list of lists composed of (Class, mapping), optional
        Styles for different classes.

        The default is

        .. code-block:: python

            (
                (Basic, {'color': 'blue', 'shape': 'ellipse'}),
                (Expr,  {'color': 'black'})
            )

    atom : function, optional
        Function used to determine if an arg is an atom.

        A good choice is ``lambda x: not x.args``.

        The default is ``lambda x: not isinstance(x, Basic)``.

    maxdepth : integer, optional
        The maximum depth.

        The default is ``None``, meaning no limit.

    repeat : boolean, optional
        Whether to use different nodes for common subexpressions.

        The default is ``True``.

        For example, for ``x + x*y`` with ``repeat=True``, it will have
        two nodes for ``x``; with ``repeat=False``, it will have one
        node.

        .. warning::
            Even if a node appears twice in the same object like ``x`` in
            ``Pow(x, x)``, it will still only appear once.
            Hence, with ``repeat=False``, the number of arrows out of an
            object might not equal the number of args it has.

    labelfunc : function, optional
        A function to create a label for a given leaf node.

        The default is ``str``.

        Another good option is ``srepr``.

        For example with ``str``, the leaf nodes of ``x + 1`` are labeled,
        ``x`` and ``1``.  With ``srepr``, they are labeled ``Symbol('x')``
        and ``Integer(1)``.

    **kwargs : optional
        Additional keyword arguments are included as styles for the graph.

    Examples
    ========

    >>> from sympy import dotprint
    >>> from sympy.abc import x
    >>> print(dotprint(x+2)) # doctest: +NORMALIZE_WHITESPACE
    digraph{
    <BLANKLINE>
    # Graph style
    "ordering"="out"
    "rankdir"="TD"
    <BLANKLINE>
    #########
    # Nodes #
    #########
    <BLANKLINE>
    "Add(Integer(2), Symbol('x'))_()" ["color"="black", "label"="Add", "shape"="ellipse"];
    "Integer(2)_(0,)" ["color"="black", "label"="2", "shape"="ellipse"];
    "Symbol('x')_(1,)" ["color"="black", "label"="x", "shape"="ellipse"];
    <BLANKLINE>
    #########
    # Edges #
    #########
    <BLANKLINE>
    "Add(Integer(2), Symbol('x'))_()" -> "Integer(2)_(0,)";
    "Add(Integer(2), Symbol('x'))_()" -> "Symbol('x')_(1,)";
    }

    c           
         	j                  t        | |
             r|k\  ry j                  t        | |
             t	        | j
                        D cg c]  \  }} |      r ||dz   ||fz         ! c}} y c c}}w )N)r<   r=   r>   )rI   r=   r>      )appendr@   extendrM   rH   r   )edepthr=   rK   argrI   edgesr<   maxdepthnodesr>   r'   traverses        r"   r^   zdotprint.<locals>.traverse  sz    WQ)VTU)XadFCD:CAFF:K]3SWX[S\#uQwqd
	+]]s   B0Br   
)r4   )
graphstyler]   r[   )r   )_graphstylecopyr%   templater5   r   )r&   r'   rI   r\   r>   r<   kwargsr`   r[   r]   r^   s    `````  @@@r"   r
   r
      sw    z !!#JfEE^ ^ T19Z4#H"ii."ii.0 0 0r#   )F)r   )sympy.core.basicr   sympy.core.exprr   sympy.core.symbolr   sympy.core.numbersr   r   r   sympy.printing.reprr	   __all__default_stylesslotClassesr   r+   r5   r   r@   rM   rc   ra   r
   r   r#   r"   <module>rm      s    "   $ 7 7 %, fy12	Wg
 w%0<~ ( 2
J (3Bt 70 ;4 C4 	& E2  B$#l0r#   