a
    RG5dR                      @   s   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dZefddZd$ddZeeddfddZdd ddfddZdZdddZed d d!defd"dZd!S )%    )Basic)Expr)Symbol)IntegerRationalFloat)sreprdotprintblueZellipse)colorshaper   blackFc                 C   sd   d}t | tst| }n<| js(t| }n,| j}ttt|}dt| j	d
|f }|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)'))
     z%s(%s), )
isinstancer   strargsr   tuplemappurestrtype__name__join)x	with_argssargsrvr   r   r   N/var/www/html/django/DPS/env/lib/python3.9/site-packages/sympy/printing/dot.pyr      s    1


r   c                 C   s*   i }|D ]\}}t | |r|| q|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typZstyr   r   r   styleofN   s
    
r#   r   c                 C   s   | dd t|  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                 s   s   | ]}d | V  qdS )z	"%s"="%s"Nr   ).0itemr   r   r   	<genexpr>q       zattrprint.<locals>.<genexpr>)r   sorteditems)d	delimiterr   r   r   	attrprintg   s    
r,   r   Tc                 C   sd   t | |}t| tr(| js(t| jj}n|| }||d< t| }|rT|dt| 7 }d|t|f 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_%sz
"%s" [%s];)	r#   r   r   is_Atomr   	__class__r   r   r,   )r   r    	labelfuncposrepeatr!   r-   expr_strr   r   r   dotnodet   s    
r5   c                 C   s   t | t S Nr   r   r   r   r   r   <lambda>   r'   r9   c                    s\   || rg S t | dd\ }|rF dt 7  fddt|D } fdd|D S dS )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   r.   c                    s&   g | ]\}}d |t  |f f qS )z%s_%s)r   )r$   ia)r2   r   r   
<listcomp>   s   zdotedges.<locals>.<listcomp>c                    s   g | ]}d  |f qS )z"%s" -> "%s";r   )r$   r;   )r4   r   r   r<      r'   N)r   r   	enumerate)r   atomr2   r3   Zarg_strsr   )r4   r2   r   dotedges   s    
r?   z|digraph{

# Graph style
%(graphstyle)s

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

%(nodes)s

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

%(edges)s
}ZTDout)Zrankdirorderingc                 C   s   t | t S r6   r7   r8   r   r   r   r9      r'   Nc              	      sd   t  }|| g g d fdd	| d tt|ddddd 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,)";
    }

    r   c              	      s`    t| d r( kr(d S t| d  	fddt| jD  d S )N)r1   r2   r3   )r>   r2   r3   c                    s.   g | ]&\}} |s|d  |f qS )   r   )r$   r:   arg)r>   depthr2   traverser   r   r<   !  r'   z.dotprint.<locals>.traverse.<locals>.<listcomp>)appendr5   extendr?   r=   r   )erD   r2   r>   edgesr1   maxdepthnodesr3   r    rE   )rD   r2   r   rE     s
    zdotprint.<locals>.traverser   
)r+   )
graphstylerL   rJ   )r   )_graphstylecopyr   templater,   r   )r   r    r>   rK   r3   r1   kwargsrN   r   rI   r   r	      s    ]

)F)r   )sympy.core.basicr   sympy.core.exprr   sympy.core.symbolr   sympy.core.numbersr   r   r   Zsympy.printing.reprr   __all__Zdefault_stylesZslotClassesr   r#   r,   r   r5   r?   rQ   rO   r	   r   r   r   r   <module>   s(   

?

