U
    SA{iÏ  ã                   @   sô  d Z dgZddlZddlZddlmZ ddlmZ G dd„ deƒZG dd	„ d	eƒZ	G d
d„ deƒZ
G dd„ deƒZG dd„ deƒZG dd„ deƒZefZeefZdd„ ZG dd„ deƒZdd„ ZG dd„ dƒZdd„ Zdd„ Zdd„ Zd[d d!„Zd\d"d#„Zd]d$d%„Zd^d'd(„Zd)d*„ Zd_d+d,„Z d-d.„ Z!d/d0„ Z"d1d2„ Z#d3d4„ Z$d5d6„ Z%d7d8„ Z&d9d:„ Z'd;d<„ Z(d=d>„ Z)d?d@„ Z*dAdB„ Z+dCdD„ Z,dEdF„ Z-dGdH„ Z.dIdJ„ Z/e/ƒ Z0dKdL„ Z1dMdN„ Z2dOdP„ Z3dQdR„ Z4dSdT„ Z5ej6fdUdV„Z7G dWdX„ dXƒZ8G dYdZ„ dZƒZ9dS )`z{Fortran/C symbolic expressions

References:
- J3/21-007: Draft Fortran 202x. https://j3-fortran.org/doc/year/21/21-007.pdf
ÚExpré    N)ÚEnum)Úgcdc                   @   s   e Zd ZdZdZdZdZdS )ÚLanguagez2
    Used as Expr.tostring language argument.
    r   é   é   N)Ú__name__Ú
__module__Ú__qualname__Ú__doc__ÚPythonÚFortranÚC© r   r   ú7/tmp/pip-unpacked-wheel-m6chaliv/numpy/f2py/symbolic.pyr      s   r   c                   @   sL   e Zd ZdZdZdZdZdZdZdZ	dZ
d	Zd
ZdZdZdZdZdZdZdS )ÚOpz$
    Used as Expr op attribute.
    é
   é   é   é   é   é(   éd   éÈ   éÒ   éÜ   i,  iè  iÐ  i¸  i¹  N)r   r	   r
   r   ÚINTEGERÚREALÚCOMPLEXÚSTRINGÚARRAYÚSYMBOLÚTERNARYÚAPPLYÚINDEXINGÚCONCATÚ
RELATIONALÚTERMSÚFACTORSÚREFÚDEREFr   r   r   r   r   &   s    r   c                   @   sH   e Zd ZdZdZdZdZdZdZdZ	e
ejfdd	„ƒZejfd
d„ZdS )ÚRelOpzH
    Used in Op.RELATIONAL expression to specify the function part.
    r   r   é   é   é   é   c                 C   sR   |t jkr0tjtjtjtjtjtjdœ| 	¡  S tjtjtjtjtjtjdœ| S )N)ú.eq.ú.ne.ú.lt.ú.le.ú.gt.ú.ge.)ú==ú!=ú<ú<=ú>ú>=)
r   r   r+   ÚEQÚNEÚLTÚLEÚGTÚGEÚlower)ÚclsÚsÚlanguager   r   r   Ú
fromstringF   s     
  þþ  ÿÿzRelOp.fromstringc                 C   sb   |t jkr6tjdtjdtjdtjdtjdtjdi|  S tjdtjdtjd	tjd
tjdtjdi|  S )Nr0   r1   r2   r3   r4   r5   r6   r7   r8   r9   r:   r;   )	r   r   r+   r<   r=   r>   r?   r@   rA   ©ÚselfrE   r   r   r   ÚtostringO   s2    
      þþ      þþzRelOp.tostringN)r   r	   r
   r   r<   r=   r>   r?   r@   rA   Úclassmethodr   r   rF   rI   r   r   r   r   r+   ;   s   r+   c                   @   s,   e Zd ZdZdZdZdZdZdZdZ	dZ
d	S )
ÚArithOpzC
    Used in Op.APPLY expression to specify the function part.
    r   r   r,   r-   r.   r/   é   N)r   r	   r
   r   ÚPOSZNEGZADDZSUBZMULÚDIVÚPOWr   r   r   r   rK   Y   s   rK   c                   @   s   e Zd ZdS )ÚOpErrorN©r   r	   r
   r   r   r   r   rP   f   s   rP   c                   @   sD   e Zd ZdZdZdZdZdZdZdZ	dZ
d	Zd
ZdZdZdZdZdS )Ú
Precedencez4
    Used as Expr.tostring precedence argument.
    r   r   r   r,   r-   r/   rL   é   r   é   é   r   r   N)r   r	   r
   r   ÚATOMÚPOWERÚUNARYÚPRODUCTÚSUMr>   r<   ZLANDZLORr"   ZASSIGNÚTUPLEÚNONEr   r   r   r   rR   j   s   rR   c                 C   s<   |   |¡}|d kr|| |< n|| }|r2|| |< n| |= d S ©N)Úget)ÚdÚkÚvÚcr   r   r   Ú
_pairs_add�   s    


rc   c                   @   s   e Zd ZdS )ÚExprWarningNrQ   r   r   r   r   rd   Ž   s   rd   c                 C   s   t j| tdd� d S )Nr   )Ú
stacklevel)ÚwarningsÚwarnrd   )Úmessager   r   r   Úewarn’   s    ri   c                   @   s$  e Zd ZdZeejfdd„ƒZdd„ Zdd„ Z	dd	„ Z
d
d„ Zdd„ Zdd„ Zdd„ Zdd„ Zdd„ Zejejfdd„Zdd„ Zdd„ Zdd„ Zdd„ Zd d!„ Zd"d#„ Zd$d%„ Zd&d'„ Zd(d)„ Zd*d+„ Zd,d-„ Zd.d/„ Z d0d1„ Z!d2d3„ Z"d4d5„ Z#d6d7„ Z$d8d9„ Z%d:d;„ Z&d<d=„ Z'd>d?„ Z(d@dA„ Z)dBS )Cr   zfRepresents a Fortran expression as a op-data pair.

    Expr instances are hashable and sortable.
    c                 C   s   t | |d�S )z.Parse a Fortran expression to a Expr.
        ©rE   )rF   )rD   rE   r   r   r   Úparseœ   s    z
Expr.parsec                 C   s0  t |tƒst‚|tjkrbt |tƒr.t|ƒdks2t‚t |d tƒsDt‚t |d ttfƒs^t|ƒ‚�n¾|tjkr¶t |tƒr‚t|ƒdks†t‚t |d t	ƒs˜t‚t |d ttfƒs²t|ƒ‚�nj|tj
krÞt |tƒrÖt|ƒdksÚt‚�nB|tjk�r`t |tƒ�rt|ƒdk�st‚t |d tƒ�r<|d d d t|d ƒd … dk�s@t‚t |d ttfƒ�s t|ƒ‚�nÀ|tjk�r‚t|ƒd k	�s t‚�nž|tjtjfk�rÄt |tƒ�s¤t‚tdd„ |D ƒƒ�s t|ƒ‚�n\|tjtjfk�rêt |tƒ�s t‚�n6|tjk�rTt |tƒ�rt|ƒdk�st‚t|d ƒd k	�s*t‚t |d tƒ�s>t‚t |d tƒ�s t‚nÌ|tjk�r–t |tƒ�rzt|ƒdk�s~t‚t|d ƒd k	�s t‚nŠ|tjk�rÂt |tƒ�r¼t|ƒdk�s t‚n^|tjtjfk�ræt |tƒ�s t‚n:|tjk�rt |tƒ�rt|ƒdk�s t‚ntd|› �ƒ‚|| _|| _d S )	Nr   r   r   )z""z''z@@c                 s   s   | ]}t |tƒV  qd S r]   )Ú
isinstancer   ©Ú.0Úitemr   r   r   Ú	<genexpr>Â   s     z Expr.__init__.<locals>.<genexpr>r,   z$unknown op or missing sanity check: )rl   r   ÚAssertionErrorr   ÚtupleÚlenÚintÚstrr   Úfloatr   r   r!   Úhashr    r%   Úallr'   r(   Údictr#   r$   r"   r)   r*   r   r&   ÚNotImplementedErrorÚopÚdata)rH   r{   r|   r   r   r   Ú__init__¢   sV    


 ÿ    ÿzExpr.__init__c                 C   s"   t |tƒo | j|jko | j|jkS r]   )rl   r   r{   r|   ©rH   Úotherr   r   r   Ú__eq__ä   s
    

ÿ
þzExpr.__eq__c                 C   sl   | j tjtjfkr&tt| j ¡ ƒƒ}n8| j tjkrX| jd d… tt| jd  ¡ ƒƒ }n| j}t	| j |fƒS ©Nr   )
r{   r   r'   r(   rr   Úsortedr|   Úitemsr#   rw   )rH   r|   r   r   r   Ú__hash__é   s    &zExpr.__hash__c                 C   sÜ   t |tƒrØ| j|jk	r&| jj|jjk S | jtjtjfkr\tt| j	 
¡ ƒƒtt|j	 
¡ ƒƒk S | jtjkrÌ| j	d d… |j	d d… kr | j	d d… |j	d d… k S tt| j	d  
¡ ƒƒtt|j	d  
¡ ƒƒk S | j	|j	k S tS r�   )rl   r   r{   Úvaluer   r'   r(   rr   r‚   r|   rƒ   r#   ÚNotImplementedr~   r   r   r   Ú__lt__ò   s    
ÿÿzExpr.__lt__c                 C   s   | |kp| |k S r]   r   r~   r   r   r   Ú__le__  ó    zExpr.__le__c                 C   s
   | |k S r]   r   r~   r   r   r   Ú__gt__  r‰   zExpr.__gt__c                 C   s
   | |k  S r]   r   r~   r   r   r   Ú__ge__  r‰   zExpr.__ge__c                 C   s    t | ƒj› d| j› d| j›d�S ©Nú(ú, ú))Útyper   r{   r|   ©rH   r   r   r   Ú__repr__  s    zExpr.__repr__c                 C   s   |   ¡ S r]   )rI   r‘   r   r   r   Ú__str__
  s    zExpr.__str__c                    sv  | j tjtjfkr`| jd dk r&tjntj}t| jd ƒ| jd dkrVd| jd › �nd }�nø| j tj	krœd 
‡ fdd„| jD ƒ¡}d	| d
 }tj}�n¼| j tjkr¼tj}t| jƒ}�nœ| j tjkrü| jd }| jd dkrò| jd d | }tj}�n\| j tjk�r:d 
‡ fdd„| jD ƒ¡}d| d }tj}�n| j tjk�r$g }t| j ¡ ƒD ]¢\}}|dk �rxd}| }nd}|dk�r˜|jtjˆ d�}n2|tdƒk�r°t|ƒ}n|› d�|jtjˆ d� }|�rÜ| |¡ n|dk�rð| d¡ | |¡ �qZd 
|¡�pd}|�rtjntj}�n4| j tjk�r’g }	g }
t| j ¡ ƒD ]ö\}}d}|dk�rp|jtjˆ d�}n²ˆ tjk�r|tddƒk�r®|jtjˆ d�}d 
|g| ¡}nX|tddƒk�rä|jtjˆ d�}|
|g|  7 }
�qHn"|jtjˆ d�}d|› d|› d
�}n|jtjˆ d�d|› � }|	�r2|	 |¡ |	 |¡ �qH|
�rl|	�sV|	dg7 }	|	dd	d 
|
¡d
g7 }	d 
|	¡�pzd}|	�rˆtjntj}�nÆ| j tjk�r8| j\}}}|tjk�rðˆ tjk�rð‡ fdd„|D ƒ\}}|› d|› �}tj}nD‡ fdd„|D ƒ}|dd„ | ¡ D ƒ7 }|› d	d 
|¡› d
�}tj}�n | j tjk�rŒ| jd }‡ fd d„| jdd!… D ƒ}|› dd 
|¡› d�}tj}�nÌ| j tjk�rÂ‡ fd"d„| jD ƒ}d# 
|¡}tj}�n–| j tj k�rz‡ fd$d„| jD ƒ\}}}ˆ tjk�rd	|› d%|› d&|› d
�}nbˆ tj!k�r6d	|› d'|› d(|› d
�}n<ˆ tj"k�r\d)|› d|› d|› d
�}nt#d*| j › d+ˆ › �ƒ‚tj}nÞ| j tj$k�r¦d,| jjtj%ˆ d� }tj%}n²| j tj&k�rÒd-| jjtj%ˆ d� }tj%}n†| j tj'k�rH| j\}}}|t(j)t(j*fk�rtj)ntj+}|j|ˆ d�}|j|ˆ d�}|jˆ d�}|› d.|› d.|› �}nt#d/| j › �ƒ‚|j,|j,k �rrd	| d
 S |S )0z0Return a string representation of Expr.
        r   r   r-   Ú_Ú rŽ   c                 3   s   | ]}|j tjˆ d �V  qdS ©rj   N©rI   rR   r[   rm   rj   r   r   rp     s   ÿz Expr.tostring.<locals>.<genexpr>r�   r�   c                 3   s   | ]}|j tjˆ d �V  qdS r–   r—   rm   rj   r   r   rp   $  s   ÿú[ú]z - ú + rj   ú * ú-Ú0r   r   iöÿÿÿzpow(z ** Ú1ú/c                    s   g | ]}|j tjˆ d �‘qS ©rj   ©rI   rR   rY   ©rn   Úargrj   r   r   Ú
<listcomp>d  s   þÿz!Expr.tostring.<locals>.<listcomp>z / c                    s   g | ]}|j tjˆ d �‘qS r    r—   r¢   rj   r   r   r¤   j  s   ÿc                 S   s$   g | ]\}}|d  |  tj¡ ‘qS )ú=)rI   rR   r\   ©rn   r`   ra   r   r   r   r¤   l  s   ÿc                    s   g | ]}|j tjˆ d �‘qS r    r—   r¢   rj   r   r   r¤   r  s   ÿNc                    s   g | ]}|j tjˆ d �‘qS r    r¡   r¢   rj   r   r   r¤   w  s   ÿz // c                    s   g | ]}|j tjˆ d �‘qS r    r—   ©rn   Úarj   r   r   r¤   |  s   þÿú?ú:z if z else zmerge(ztostring for z and ú&Ú*ú ztostring for op )-r{   r   r   r   r|   rR   rZ   rV   ru   r   Újoinr!   r   r    r'   r‚   rƒ   rI   Ú	as_numberrY   Úappendr(   r   r   Úranger[   rW   r#   rK   rN   r$   r%   r"   r   r   rz   r)   rX   r*   r&   r+   r<   r=   r>   r…   )rH   Zparent_precedencerE   Ú
precedenceÚrZtermsÚtermÚcoeffr{   ZfactorsÚtailÚbaseÚexpZfactorÚnameÚargsÚkwargsÚnumerÚdenomÚcondÚexpr1Úexpr2ÚropÚleftÚrightr   rj   r   rI     s0   ÿÿÿÿ


ÿ



 ÿ


ÿÿÿÿÿÿ


þ

ÿÿ


ÿ

ÿ


þÿÿzExpr.tostringc                 C   s   | S r]   r   r‘   r   r   r   Ú__pos__Ÿ  s    zExpr.__pos__c                 C   s   | d S )Néÿÿÿÿr   r‘   r   r   r   Ú__neg__¢  s    zExpr.__neg__c           	      C   s¬  t |ƒ}t|tƒ�r¨| j|jkrØ| jtjtjfkr^t| jd |jd  t	| jd |jd ƒƒS | jtj
kr�| j\}}|j\}}t|| || ƒS | jtjkrØt| jt| jƒƒ}|j ¡ D ]\}}t|j||ƒ q¸t|ƒS | jtj
k�r|jtjtjfk�r| t|ƒ S | jtjtjfk�r4|jtj
k�r4t| ƒ| S | jtjk�rf|jtjk�rf| t|| jd d� S | jtjk�r˜|jtjk�r˜t| |jd d�| S t| ƒt|ƒ S tS ©Nr   r   )Úkind)Úas_exprrl   r   r{   r   r   r   r¯   r|   Úmaxr   Ú
as_complexr'   ry   rƒ   rc   Ú	normalizeÚas_realÚas_termsr†   )	rH   r   Úr1Úi1Úr2Úi2r³   r`   ra   r   r   r   Ú__add__¥  s6    þ

""zExpr.__add__c                 C   s   t |tƒrt|ƒ|  S tS r]   ©rl   Únumber_typesr¯   r†   r~   r   r   r   Ú__radd__Á  s    
zExpr.__radd__c                 C   s
   | |  S r]   r   r~   r   r   r   Ú__sub__Æ  s    zExpr.__sub__c                 C   s   t |tƒrt|ƒ|  S tS r]   rÔ   r~   r   r   r   Ú__rsub__É  s    
zExpr.__rsub__c                 C   sV  t |ƒ}t|tƒ�rR| j|jk�rN| jtjtjfkr`t| jd |jd  t	| jd |jd ƒƒS | jtj
kr¢| j\}}|j\}}t|| ||  || ||  ƒS | jtjkrêt| jt| jƒƒ}|j ¡ D ]\}}t|j||ƒ qÊt|ƒS | jtjk�rNt| ji ƒ}| j ¡ D ]6\}	}
|j ¡ D ] \}}t|j|	| |
| ƒ �q �qt|ƒS | jtj
k�r||jtjtjfk�r|| t|ƒ S |jtj
k�rª| jtjtjfk�rªt| ƒ| S | jtjk�rÜ|jtjk�rÜ| t|| jd d� S | jtjk�r|jtjk�rt| |jd d�| S | jtjk�r(| t|ƒ S |jtjk�rBt| ƒ| S t| ƒt|ƒ S tS rÇ   )rÉ   rl   r   r{   r   r   r   r¯   r|   rÊ   r   rË   r(   ry   rƒ   rc   rÌ   r'   rÍ   rÎ   Ú
as_factorsr†   )rH   r   rÏ   rÐ   rÑ   rÒ   r³   r`   ra   Út1Úc1Út2Úc2r   r   r   Ú__mul__Î  sH    ÿ

"""zExpr.__mul__c                 C   s   t |tƒrt|ƒ|  S tS r]   rÔ   r~   r   r   r   Ú__rmul__÷  s    
zExpr.__rmul__c                 C   sÖ   t |ƒ}t|tƒrÒ|jtjkrÄ|jd }|dkr8tdƒS |dkrD| S |dkrž| jtjkrŽt| ji ƒ}| j 	¡ D ]\}}|| |j|< qnt
|ƒS | | |d   S |dkr´| |  d S ttj| |iƒS ttj| |ƒS tS )Nr   r   rÅ   )rÉ   rl   r   r{   r   r   r|   r¯   r(   rƒ   rÌ   Úas_applyrK   rO   r†   )rH   r   Úexponentr³   r`   ra   r   r   r   Ú__pow__ü  s(    

zExpr.__pow__c                 C   s(   t |ƒ}t|tƒr$tttj| |ƒƒS tS r]   )rÉ   rl   r   rÌ   rà   rK   rN   r†   r~   r   r   r   Ú__truediv__  s    
zExpr.__truediv__c                 C   s   t |ƒ}t|tƒr||  S tS r]   ©rÉ   rl   r   r†   r~   r   r   r   Ú__rtruediv__  s    
zExpr.__rtruediv__c                 C   s*   t |ƒ}t|tƒr&tttj| |fƒƒS tS r]   )rÉ   rl   r   rÌ   r   r%   r†   r~   r   r   r   Ú__floordiv__!  s    
zExpr.__floordiv__c                 C   s   t |ƒ}t|tƒr||  S tS r]   rä   r~   r   r   r   Ú__rfloordiv__)  s    
zExpr.__rfloordiv__c                 O   s(   t | ftt|ƒžtdd„ | ¡ D ƒƒŽS )Nc                 s   s   | ]\}}|t |ƒfV  qd S r]   ©rÉ   r¦   r   r   r   rp   6  s     z Expr.__call__.<locals>.<genexpr>)rà   ÚmaprÉ   ry   rƒ   )rH   rº   r»   r   r   r   Ú__call__/  s    ÿzExpr.__call__c                 C   sF   t |ƒ}t|tƒs|f}t|ƒdkr4td|› d�ƒ ttj| f| ƒS )Nr   z/C-index should be a single expression but got `ú`)rÉ   rl   rr   rs   ri   r   r   r$   )rH   Úindexr   r   r   Ú__getitem__8  s    
zExpr.__getitem__c                    sb  | j tjkrhˆ  | ¡}|dkr"| S t d| j¡}|rd| ¡ \}}|dkrPt|ƒS |dksdt	||fƒ‚|S | j tj
tjtjfkr‚| S | j tjtjfkr´t| j t‡ fdd„| jD ƒƒƒS | j tjkrätt| j t‡ fdd„| jD ƒƒƒƒS | j tjk�rVd}| j ¡ D ]6\}}|dk�r"| ˆ ¡| }n|| ˆ ¡| 7 }�q |dk�rRtdƒ td	ƒS |S | j tjk�rÈd}| j ¡ D ]6\}	}
|dk�r”|	 ˆ ¡|
 }n||	 ˆ ¡|
 9 }�qr|dk�rÄtd
ƒ tdƒS |S | j tjk�r>| j\}}}t|tƒ�rø| ˆ ¡}t‡ fdd„|D ƒƒ}t‡ fdd„| ¡ D ƒƒ}tt| j |||fƒƒS | j tjk�r¢| jd	 }t|tƒ�rl| ˆ ¡}t‡ fdd„| jdd… D ƒƒ}tt| j |f| ƒƒS | j tjk�rØt‡ fdd„| jD ƒƒ}tt| j |ƒƒS | j tjtjfk�rtt| j | j ˆ ¡ƒƒS | j tj k�rH| j\}}}| ˆ ¡}| ˆ ¡}tt| j |||fƒƒS t!d| j › d| ›�ƒ‚dS )z„Recursively substitute symbols with values in symbols map.

        Symbols map is a dictionary of symbol-expression pairs.
        Nz$\A(@__f2py_PARENTHESIS_(\w+)_\d+@)\Z©ÚROUNDDIVÚSQUAREÚROUNDc                 3   s   | ]}|  ˆ ¡V  qd S r]   ©Ú
substituterm   ©Úsymbols_mapr   r   rp   V  s   ÿz"Expr.substitute.<locals>.<genexpr>c                 3   s   | ]}|  ˆ ¡V  qd S r]   rò   rm   rô   r   r   rp   Y  s   ÿz?substitute: empty TERMS expression interpreted as int-literal 0r   zAsubstitute: empty FACTORS expression interpreted as int-literal 1r   c                 3   s   | ]}|  ˆ ¡V  qd S r]   rò   r§   rô   r   r   rp   w  s     c                 3   s    | ]\}}||  ˆ ¡fV  qd S r]   rò   r¦   rô   r   r   rp   x  s   ÿc                 3   s   | ]}|  ˆ ¡V  qd S r]   rò   r§   rô   r   r   rp     s     c                 3   s   | ]}|  ˆ ¡V  qd S r]   rò   r§   rô   r   r   rp   ‚  s     zsubstitute method for z: )"r{   r   r!   r^   ÚreÚmatchr|   ÚgroupsÚas_arrayrq   r   r   r   r    r   r   rr   r%   rÌ   r'   rƒ   ró   ri   r¯   r(   r#   rl   ry   r$   r"   r)   r*   r&   rz   )rH   rõ   r…   Úmrƒ   Úparenr³   r´   rµ   r·   rá   Útargetrº   r»   ÚfuncÚoperandsrÁ   rÂ   rÃ   r   rô   r   ró   B  s†    
ÿ
ÿ




ÿ

 

zExpr.substitutec                    sª  ˆ| fˆ žˆŽ}|dk	r|S | j tjtjtjtjfkr:| S | j tjtjtjtj	fkr|t
t| j t‡ ‡‡fdd„| jD ƒƒƒƒS | j tjtjfk�ri }| j ¡ D ]V\}}|jˆfˆ žˆŽ}t|tƒrÔ|jˆfˆ žˆŽn|}||krì|| | }|||< qžt
t| j |ƒƒS | j tjk�rš| jd }t|tƒ�r<|jˆfˆ žˆŽn|}	t‡ ‡‡fdd„| jd D ƒƒ}
t‡ ‡‡fdd„| jd  ¡ D ƒƒ}t
t| j |	|
|fƒƒS | j tjk�r| jd }t|tƒ�rÐ|jˆfˆ žˆŽn|}t‡ ‡‡fd	d„| jdd… D ƒƒ}t
t| j |f| ƒƒS | j tjtjfk�rBt
t| j | jjˆfˆ žˆŽƒƒS | j tjk�r–| j\}}}|jˆfˆ žˆŽ}|jˆfˆ žˆŽ}t
t| j |||fƒƒS td
| j › �ƒ‚dS )aB  Traverse expression tree with visit function.

        The visit function is applied to an expression with given args
        and kwargs.

        Traverse call returns an expression returned by visit when not
        None, otherwise return a new normalized expression with
        traverse-visit sub-expressions.
        Nc                 3   s    | ]}|j ˆfˆ žˆŽV  qd S r]   ©Útraverserm   ©rº   r»   Úvisitr   r   rp   ž  s   ÿz Expr.traverse.<locals>.<genexpr>r   c                 3   s    | ]}|j ˆfˆ žˆŽV  qd S r]   rÿ   ©rn   Úoperandr  r   r   rp   ¯  s   ÿr   c                 3   s(   | ] \}}||j ˆfˆ žˆŽfV  qd S r]   rÿ   r¦   r  r   r   rp   ±  s   ÿr   c                 3   s    | ]}|j ˆfˆ žˆŽV  qd S r]   rÿ   )rn   rì   r  r   r   rp   ¸  s   ÿztraverse method for )r{   r   r   r   r   r!   r   r    r%   r"   rÌ   r   rr   r|   r'   r(   rƒ   r   rl   r#   ry   r$   r)   r*   r&   rz   )rH   r  rº   r»   Úresultr|   r`   ra   Úobjrý   rþ   Z
kwoperandsÚindicesrÁ   rÂ   rÃ   r   r  r   r   �  sl    
þÿÿ

ÿÿÿÿ
ÿÿÿÿzExpr.traversec                    s*   g }|f‡ fdd„	}|   |¡ t|ƒdkS )z&Check if self contains other.
        c                    s"   |r| S | ˆ kr|  d¡ | S d S )Nr   )r°   ©ÚexprÚfound©r   r   r   r  Ê  s
    
zExpr.contains.<locals>.visitr   )r   rs   )rH   r   r
  r  r   r  r   ÚcontainsÅ  s    
zExpr.containsc                 C   s    t ƒ }|fdd„}|  |¡ |S )z3Return a set of symbols contained in self.
        c                 S   s   | j tjkr| | ¡ d S r]   )r{   r   r!   Úaddr  r   r   r   r  Ú  s    zExpr.symbols.<locals>.visit©Úsetr   )rH   r
  r  r   r   r   ÚsymbolsÕ  s    
zExpr.symbolsc                    s$   t ƒ }|f‡ fdd„	‰ |  ˆ ¡ |S )zFReturn a set of expressions used as atoms in polynomial self.
        c                    s¾   | j tjkr&| jD ]}| ˆ ¡ q| S | j tjtjfkr<d S | j tjkr„t| jd t	ƒr„| jd t	j
kr€| jd d  ˆ ¡ | S d S | j tjtjfkrš| S | | ¡ | j tjtjfkrº| S d S ©Nr   r   )r{   r   r(   r|   r   r'   r   r#   rl   rK   rO   r   r   r  r$   )r	  r
  Úb©r  r   r   r  ç  s     

z$Expr.polynomial_atoms.<locals>.visitr  )rH   r
  r   r  r   Úpolynomial_atomsâ  s    
zExpr.polynomial_atomsc                 C   sz   |   |tdƒi¡}| | }|  |tdƒi¡}t|| | ƒ\}}|tdƒkrrtd|› d|› d|› d|› d| › �
ƒ‚||fS )z�Return a, b such that a * symbol + b == self.

        If self is not linear with respect to symbol, raise RuntimeError.
        r   r   znot a z-linear equation: r›   rš   z == )ró   r¯   Úas_numer_denomÚRuntimeError)rH   Úsymbolr  Zaxr¨   Zzeror”   r   r   r   Úlinear_solveÿ  s    &zExpr.linear_solveN)*r   r	   r
   r   Ústaticmethodr   r   rk   r}   r€   r„   r‡   rˆ   rŠ   r‹   r’   r“   rR   r\   r   rI   rÄ   rÆ   rÓ   rÖ   r×   rØ   rÞ   rß   râ   rã   rå   ræ   rç   rê   rí   ró   r   r  r  r  r  r   r   r   r   r   –   sJ   B	ÿ
 )	
K8c                 C   s"  t | tƒs| S | jtjkrài }| j ¡ D ]p\}}|dkr:q(|jtjkrZ|dkrZ|| }d}|jtjkrŒ|j ¡ D ]\}}t|||| ƒ qpq(t|||ƒ q(t	|ƒdkr®t
dƒS t	|ƒdkrÔ| ¡ \\}}|dkrÔ|S ttj|ƒS | jtjk�rÈd}i }| j ¡ D �]\}}|dk�r�q |jtjk�rPt |tƒ�rP|dk�rP|||d   }d}|jtjtjfk�rª|dk�r~||jd 9 }n*|dk�rœ||jd | 9 }nt|||ƒ nf|jtjk�r|dk�röt |tƒ�rö|j ¡ D ]\}	}
t||	|
| ƒ �qØnt|||ƒ nt|||ƒ �q t	|ƒdk�s,|dk�rDt |tƒ�s<t‚t
|ƒS t	|ƒdk�rš| ¡ \\}}|dk�rp|}nttj|ƒ}|dk�rŠ|S ttj||iƒS |dk�r°ttj|ƒS ttjttj|ƒ|iƒS | jtjk�rÎ| jd tjk�rÎ| jd \}}t|ƒ\}}t|ƒ\}}t |tƒ�rDt |tƒ�rDt||ƒ}|| ||  }}n|| d }}|jtjk�r¨|jd tjk�r¨|jd d | }|jd d | | }ttj||ƒS |jtjk�rþ|jd tjk�rþ|jd d | | }|jd d | }ttj||ƒS tt|ƒjƒ}t|ƒj ¡ D ]\}}t||| ƒ �qi i  }}| ¡ D ](\}}|dk�rb|||< n
| ||< �qFtttj|ƒƒ| }tttj|ƒƒ| }|jtjtjfk�rÀ|jd dk�rÀ|S ttj||ƒS | jtjk�rÊ| jd g}| jdd… D ]¬}|d }|jtjk�r–|jtjk�r–|jd d dk�r–|jd d |jd d k�r–t|jd dd… |jd dd…  t|jd |jd ƒƒ}||d< n
| |¡ �qöt	|ƒdk�rº|d S ttjt|ƒƒS | jtj k�rt!t| jƒ\}}}|jtjk�r|jd �r|S |S ttj |||fƒS | S )z7Normalize Expr and apply basic evaluation methods.
    r   r   NrÅ   z"')"rl   r   r{   r   r'   r|   rƒ   r   rc   rs   r¯   r(   Úinteger_typesr   r   rÕ   rq   r#   rK   rN   Úas_term_coeffr   rà   ry   rÙ   rÌ   r%   r   Ú	as_stringrÊ   r°   rr   r"   ré   )r  r_   Útrb   rÚ   rÛ   rµ   r  ÚeZb1Úe1ZdividendZdivisorrÜ   rÝ   Úgr¼   r½   ÚlstrD   ÚlastZnew_lastr¾   r¿   rÀ   r   r   r   rÌ     sÞ    

$




 
  


$
ÿ
þýü$ÿ
rÌ   c                 C   s\   t | tƒrt| j| jƒS t | tƒr*t| ƒS t | tƒr@tt	| ƒƒS t | t
ƒrXt
tt| ƒƒS | S )z.Convert non-Expr objects to Expr objects.
    )rl   ÚcomplexrË   ÚrealÚimagrÕ   r¯   ru   r  Úreprrr   ré   rÉ   ©r  r   r   r   rÉ   ™  s    



rÉ   c                 C   s   t tj| ƒS )zJReturn object as SYMBOL expression (variable or unparsed expression).
    )r   r   r!   r'  r   r   r   Ú	as_symbol©  s    r(  r-   c                 C   sh   t | tƒrttj| |fƒS t | tƒr4ttj| |fƒS t | tƒrT| jtjtjfkrT| S td| › d�ƒ‚dS )z/Return object as INTEGER or REAL constant.
    úcannot convert z to INTEGER or REAL constantN)	rl   rt   r   r   r   rv   r   r{   rP   ©r  rÈ   r   r   r   r¯   ¯  s    


r¯   c                 C   sH   t | tƒrttj| |fƒS t | tƒr4| jtjkr4| S td| › d�ƒ‚dS )z'Return object as INTEGER constant.
    r)  z to INTEGER constantN)rl   rt   r   r   r   r{   rP   r*  r   r   r   Ú
as_integer¼  s    

r+  c                 C   sŒ   t | tƒrttjt| ƒ|fƒS t | tƒr8ttj| |fƒS t | tƒrx| jtjkrR| S | jtjkrxttjt| jd ƒ|fƒS t	d| › d�ƒ‚dS )z$Return object as REAL constant.
    r   r)  z to REAL constantN)
rl   rt   r   r   r   rv   r{   r   r|   rP   r*  r   r   r   rÍ   Ç  s    


rÍ   r   c                 C   s   t tj| |fƒS )zBReturn object as STRING expression (string literal constant).
    )r   r   r   r*  r   r   r   r  Ö  s    r  c                 C   s   t | tƒr| f} ttj| ƒS )z8Return object as ARRAY expression (array constant).
    )rl   r   r   r    r'  r   r   r   rù   Ü  s    
rù   c                 C   s   t tjt| ƒt|ƒfƒS )zDReturn object as COMPLEX expression (complex literal constant).
    )r   r   r   rÉ   )r$  r%  r   r   r   rË   ä  s    rË   c                 O   s.   t tj| ttt|ƒƒtdd„ | ¡ D ƒƒfƒS )zIReturn object as APPLY expression (function call, constructor, etc.)
    c                 s   s   | ]\}}|t |ƒfV  qd S r]   rè   r¦   r   r   r   rp   ï  s     zas_apply.<locals>.<genexpr>)r   r   r#   rr   ré   rÉ   ry   rƒ   )rý   rº   r»   r   r   r   rà   ê  s
    ÿÿrà   c                 C   s   t tj| ||fƒS )z<Return object as TERNARY expression (cond?expr1:expr2).
    )r   r   r"   )r¾   r¿   rÀ   r   r   r   Ú
as_ternaryò  s    r,  c                 C   s   t tj| ƒS )z-Return object as referencing expression.
    )r   r   r)   ©r	  r   r   r   Úas_refø  s    r.  c                 C   s   t tj| ƒS )z/Return object as dereferencing expression.
    )r   r   r*   r-  r   r   r   Úas_derefþ  s    r/  c                 C   s   t tjtj| |fƒS r]   )r   r   r&   r+   r<   ©rÂ   rÃ   r   r   r   Úas_eq  s    r1  c                 C   s   t tjtj| |fƒS r]   )r   r   r&   r+   r=   r0  r   r   r   Úas_ne  s    r2  c                 C   s   t tjtj| |fƒS r]   )r   r   r&   r+   r>   r0  r   r   r   Úas_lt  s    r3  c                 C   s   t tjtj| |fƒS r]   )r   r   r&   r+   r?   r0  r   r   r   Úas_le  s    r4  c                 C   s   t tjtj| |fƒS r]   )r   r   r&   r+   r@   r0  r   r   r   Úas_gt  s    r5  c                 C   s   t tjtj| |fƒS r]   )r   r   r&   r+   rA   r0  r   r   r   Úas_ge  s    r6  c                 C   s¦   t | tƒrŽt| ƒ} | jtjkr"| S | jtjkrPttjtd| jd ƒ| jd iƒS | jtj	kr~ttjt
d| jd ƒ| jd iƒS ttj| diƒS tdt| ƒ› d�ƒ‚dS )z+Return expression as TERMS expression.
    r   r   r)  ú to terms ExprN)rl   r   rÌ   r{   r   r'   r   r+  r|   r   rÍ   rP   r�   r'  r   r   r   rÎ     s    
""rÎ   c                 C   sô   t | tƒrÜt| ƒ} | jtjkr"| S | jtjkr~t| jƒdkr~| j 	¡ \\}}|dkrdttj|diƒS ttj|dt 
|¡diƒS | jtjkrÌ| jd tjkrÌ| jd sÌttj| jd d d| jd d diƒS ttj| diƒS tdt| ƒ› d�ƒ‚dS )z-Return expression as FACTORS expression.
    r   r   r   rÅ   r)  r7  N)rl   r   rÌ   r{   r   r(   r'   rs   r|   rƒ   Únumberr#   rK   rN   rP   r�   )r  r´   rµ   r   r   r   rÙ   +  s$    
ÿþ(rÙ   c                 C   sþ   t | tƒræt| ƒ} | jtjkr8td| jd ƒ| jd fS | jtjkr^t	d| jd ƒ| jd fS | jtj
kr�t| jƒdkr�| j ¡ \\}}||fS | jtjkrÞ| jd tjkrÞt| jd d ƒ\}}ttj|| jd d ƒ|fS | dfS tdt| ƒ› d�ƒ‚dS )z0Return expression as term-coefficient pair.
    r   r   r)  z to term and coeffN)rl   r   rÌ   r{   r   r   r+  r|   r   rÍ   r'   rs   rƒ   r#   rK   rN   r  rà   rP   r�   )r  r´   rµ   r  rb   r   r   r   r  @  s    
r  c                 C   sN  t | tƒ�r6t| ƒ} | jtjtjtjtjtj	tj
fkrB| tdƒfS | jtjkr¨| jd tjkrœ| jd sœtt| jd ƒ\}}|d |d  |d |d  fS | tdƒfS | jtjk�r¢g g  }}| j ¡ D ]0\}}t|ƒ\}}|| }| |¡ | |¡ qÊtdƒtdƒ }}tt|ƒƒD ]L}	||	 }tt|ƒƒD ]}
|	|
k�r2|||
 9 }�q2||7 }|||	 9 }�q|jtjtjfk�rš|jd dk �rš| |  }}||fS | jtjk�r6tdƒtdƒ }}| j ¡ D ]`\}}t|ƒ\}}|dk�r||| 9 }||| 9 }n&|dk �rÌ|||  9 }|||  9 }�qÌ||fS tdt| ƒ› d�ƒ‚dS )z+Return expression as numer-denom pair.
    r   r   r   r)  z to numer and denomN)rl   r   rÌ   r{   r   r   r   r   r!   r$   r"   r¯   r#   r|   rK   rN   ré   r  r'   rƒ   r°   r±   rs   r(   rP   r�   )r  ZnumersZdenomsr´   rµ   Únr_   r¼   r½   ÚiÚjr  r  ZbnumerZbdenomr   r   r   r  U  sT     ÿ 


$

r  c                  c   s   d} | d7 } | V  qd S r  r   )Úcounterr   r   r   Ú_counter‚  s    r=  c                    sJ   i ‰ ‡ fdd„}t  djdddd�|| ¡}d|ks6t‚d	|ksBt‚|ˆ fS )
zgReplace quoted substrings of input string.

    Return a new string and a mapping of replacements.
    c                    s\   |   ¡ d d… \}}|r$|d d… }dddœ|d  }|› d|› dt ¡ › d	�}|ˆ |< |S )
Nr   rÅ   ZSINGLEZDOUBLE)ú'ú"r   z@__f2py_QUOTES_r”   ú@)rø   ÚCOUNTERÚ__next__)rú   rÈ   r…   Úpr`   ©r_   r   r   Úrepl”  s    zeliminate_quotes.<locals>.replz+({kind}_|)({single_quoted}|{double_quoted})z
\w[\w\d_]*z('([^'\\]|(\\.))*')z("([^"\\]|(\\.))*"))rÈ   Úsingle_quotedZdouble_quotedr?  r>  )rö   ÚsubÚformatrq   )rD   rE  Znew_sr   rD  r   Úeliminate_quotes�  s    
ý ürI  c                 C   sD   |  ¡ D ]6\}}|d| d¡… }|r.|d7 }|  ||| ¡} q| S )z!Inverse of eliminate_quotes.
    Nr@  r”   )rƒ   ÚfindÚreplace)rD   r_   r`   ra   rÈ   r   r   r   Úinsert_quotesª  s    rL  c                 C   s6  d\}}t | ƒ}dD ]2\}}|  |¡}|dkr0q||k r|}|| }}q|dkrX| i fS |}|  ||¡}|  ||d |¡|  ||d |¡kr¾|  ||d ¡}|dkrhtd|| › d| ›�ƒ‚qhdd	d
ddœ| }d|› dt ¡ › d�}	| |t |ƒ |… }
t| |t |ƒ d… ƒ\}}|
||	< | d|… |	 | |fS )zzReplace substrings of input that are enclosed in parenthesis.

    Return a new string and a mapping of replacements.
    )NN))ú(/ú/)z()z{}z[]rÅ   Nr   zMismatch of z parenthesis in rñ   rð   ÚCURLYrï   )r�   r˜   Ú{rM  ú@__f2py_PARENTHESIS_r”   r@  )rs   rJ  ÚcountÚ
ValueErrorrA  rB  Úreplace_parenthesis)rD   rÂ   rÃ   Zmn_iZleft_Zright_r:  r;  rC  r`   ra   r³   r_   r   r   r   rT  µ  s.    

$rT  c                 C   s    |   d¡st| ƒ‚|  d¡d S )NrQ  r”   r-   )Ú
startswithrq   Úsplit)rD   r   r   r   Ú_get_parenthesis_kindà  s    rW  c                 C   sZ   |  ¡ D ]L\}}t|ƒ}tddddd�| }tdddd	d�| }|  ||| | ¡} q| S )
z$Inverse of replace_parenthesis.
    r�   r˜   rP  rM  )rñ   rð   rO  rï   r�   r™   Ú}rN  )rƒ   rW  ry   rK  )rD   r_   r`   ra   rC  rÂ   rÃ   r   r   r   Úunreplace_parenthesiså  s    rY  c                 C   s8   t |d� | ¡}t|tƒr|S td| › d|› d�ƒ‚dS )z®Create an expression from a string.

    This is a "lazy" parser, that is, only arithmetic operations are
    resolved, non-arithmetic operations are treated as symbols.
    rj   zfailed to parse `z` to Expr instance: got `rë   N)Ú_FromStringWorkerrk   rl   r   rS  )rD   rE   r³   r   r   r   rF   ð  s    
rF   c                   @   s$   e Zd Zdd„ Zdd„ Zdd„ ZdS )Ú_Pairc                 C   s   || _ || _d S r]   r0  )rH   rÂ   rÃ   r   r   r   r}   ÿ  s    z_Pair.__init__c                 C   s@   | j | j }}t|tƒr"| |¡}t|tƒr6| |¡}t||ƒS r]   )rÂ   rÃ   rl   r   ró   r[  )rH   rõ   rÂ   rÃ   r   r   r   ró     s    



z_Pair.substitutec                 C   s    t | ƒj› d| j› d| j› d�S rŒ   )r�   r   rÂ   rÃ   r‘   r   r   r   r’     s    z_Pair.__repr__N)r   r	   r
   r}   ró   r’   r   r   r   r   r[  ü  s   r[  c                   @   s4   e Zd Zejfdd„Zdd„ Zdd„ Zddd	„Zd
S )rZ  c                 C   s   d | _ d | _|| _d S r]   )ÚoriginalÚ
quotes_maprE   rG   r   r   r   r}     s    z_FromStringWorker.__init__c                 C   s   t || jƒS r]   )rL  r]  )rH   rD   r   r   r   Úfinalize_string  s    z!_FromStringWorker.finalize_stringc                 C   s   || _ t|ƒ\}| _|  |¡S r]   )r\  rI  r]  Úprocess)rH   ÚinpZunquotedr   r   r   rk     s    z_FromStringWorker.parser	  c                    sÆ  t |ttfƒr*t|ƒ‡ ‡fdd„|D ƒƒS t |tƒsDtt|ƒ|fƒ‚t|ƒ\}‰| ¡ }‡‡fdd„‰d|krÈˆ| d¡ƒ}ˆ dkr’tˆ 	|¡ƒS ˆ dkr´t
|ƒdkr´tˆ 	|¡Ž S td	ˆ › d
|› �ƒ‚t d|¡}|�r&ˆ dksêtˆ ƒ‚ˆ| ¡ ƒ\}}}ˆ 	|¡}ˆ 	|¡}ˆ 	|¡}t|||ƒS ˆjtjk�rFt d|tj¡}nt d|¡}|�r¸| ¡ \}	}
}ˆjtjk�r€d|
 d }
ˆ 	ˆ|	|fƒ¡\}	}tj|
ˆjd�}
ttj|
|	|fƒS t d|¡}|�rî| ¡ \}}ˆ|ƒ}t|ˆ 	|¡ƒS t d|¡}t
|ƒdk�rŽˆ 	ˆ|d �pdƒ¡}t|ddd… |ddd… ƒD ]J\}}ˆ 	ˆ|ƒ¡}| ¡ }|dk�rp||7 }n|dk�s~t‚||8 }�q>|S ˆjtjk�rÊd|k�rÊˆ| d¡ƒ}ttjtˆ 	|¡ƒƒS t dˆjtjk�râ|n
| dd¡¡}t
|ƒdk�ršˆ|ƒ}ˆjtjk	�r"dd„ |D ƒ}ˆ 	|d ¡}t|ddd… |ddd… ƒD ]F\}}ˆ 	|¡}| ¡ }|dk�r|||9 }n|dk�sŠt‚|| }�qN|S | d¡�s²| d ¡�rètj tj!d!œ|d  }ˆ 	ˆ|dd… ƒ¡}t||ƒS ˆjtjk	�rNd|k�rNtt"ˆ| d¡ƒƒƒ}ˆ 	|d ¡}|dd… D ]}ˆ 	|¡}|| }�q0|S t d"j#d#d$d%�|¡}|�r¤| ¡ \}}}|�r�| $¡ �r�t%|ƒ}t&t%|ƒ|�p d&ƒS t d'j#d(d)d$d*�|¡}|�r,| ¡ \}}}}|�rê| $¡ �rêt%|ƒ}| '¡ }d+|k�rt(t)| d+d,¡ƒ|�pd-ƒS t(t)|ƒ|�p(d&ƒS |ˆj*k�r`|d| +d.¡… }t,ˆj*| |�p\dƒS |ˆk�rÒt-|ƒ}ˆ 	ˆˆ| ƒ|d/k�rŽdnd¡}|d/k�r®t |tƒ�r®|S |d0k�rÒt |tƒ�rÊ|f}t.|ƒS t d1|¡}|�r~| ¡ \}}}ˆ 	ˆ|ƒ¡}ˆ 	ˆ|ƒdd2… d¡}t |tƒ�s*|f}|d/k�rht/d3d„ |D ƒƒ}td4d„ |D ƒƒ}t0|f|ž|ŽS |d5k�svt‚|| S t d6|¡}|�r˜t1|ƒS ˆ 2ˆ|ƒ¡}t3d7|›d8ˆj4› d9�ƒ t1|ƒS ):a´  Parse string within the given context.

        The context may define the result in case of ambiguous
        expressions. For instance, consider expressions `f(x, y)` and
        `(x, y) + (a, b)` where `f` is a function and pair `(x, y)`
        denotes complex number. Specifying context as "args" or
        "expr", the subexpression `(x, y)` will be parse to an
        argument list or to a complex number, respectively.
        c                 3   s   | ]}ˆ  |ˆ ¡V  qd S r]   )r_  )rn   Zs_)ÚcontextrH   r   r   rp   )  s     z,_FromStringWorker.process.<locals>.<genexpr>c                    s*   t | ttfƒr t| ƒtˆ| ƒƒS t| ˆ ƒS r]   )rl   Úlistrr   r�   ré   rY  )r³   )Úraw_symbols_mapÚrestorer   r   rd  1  s    z*_FromStringWorker.process.<locals>.restoreú,rº   r	  r   z&parsing comma-separated list (context=z): z\A([^?]+)[?]([^:]+)[:](.+)\Zz+\A(.+)\s*[.](eq|ne|lt|le|gt|ge)[.]\s*(.+)\Zz7\A(.+)\s*([=][=]|[!][=]|[<][=]|[<]|[>][=]|[>])\s*(.+)\ZÚ.rj   z\A(\w[\w\d_]*)\s*[=](.*)\Zz((?<!\d[edED])[+-])r   r   r�   Nú+rœ   z//z(?<=[@\w\d_])\s*([*]|/)ú**ú@__f2py_DOUBLE_STAR@c                 S   s   g | ]}|  d d¡‘qS )ri  rh  )rK  r  r   r   r   r¤   ~  s   ÿz-_FromStringWorker.process.<locals>.<listcomp>r¬   rŸ   r«   )r¬   r«   z\A({digit_string})({kind}|)\Zz\d+z_(\d+|\w[\w\d_]*))Zdigit_stringrÈ   r-   z7\A({significant}({exponent}|)|\d+{exponent})({kind}|)\Zz[.]\d+|\d+[.]\d*z[edED][+-]?\d+)Zsignificantrá   rÈ   r_   r  é   r@  rñ   rî   z4\A(.+)\s*(@__f2py_PARENTHESIS_(ROUND|SQUARE)_\d+@)\ZrÅ   c                 s   s$   | ]}t |tƒr|j|jfV  qd S r]   )rl   r[  rÂ   rÃ   r§   r   r   r   rp   Ò  s    
ÿc                 s   s   | ]}t |tƒs|V  qd S r]   )rl   r[  r§   r   r   r   rp   Ô  s     
 rð   z\A\w[\w\d_]*\Zzfromstring: treating z as symbol (original=r�   )5rl   rb  rr   r�   ru   rq   rT  ÚstriprV  r_  rs   rË   rz   rö   r÷   rø   r,  rE   r   r   ÚIr+   rF   r   r   r&   r[  Úzipr%   r   rK  rU  r*   r)   ÚreversedrH  Úisdigitrt   r+  rB   rÍ   rv   r]  rJ  r  rW  rù   ry   rà   r(  r^  ri   r\  )rH   rD   ra  r³   rþ   rú   Úoperr¿   rÀ   rÂ   rÁ   rÃ   Úkeynamer…   r  r{   r  r”   rÈ   rû   rƒ   rü   rº   r»   r   )ra  rc  rd  rH   r   r_    s8   
ÿ


  ÿ ÿ&

ÿ
þÿ&




þþüü

ÿ

ÿ
ÿz_FromStringWorker.processN)r	  )	r   r	   r
   r   r   r}   r^  rk   r_  r   r   r   r   rZ    s   rZ  )r-   )r-   )r-   )r   )r   ):r   Ú__all__rö   rf   Úenumr   Úmathr   r   r   r+   rK   Ú	ExceptionrP   rR   rt   r  rv   rÕ   rc   ÚUserWarningrd   ri   r   rÌ   rÉ   r(  r¯   r+  rÍ   r  rù   rË   rà   r,  r.  r/  r1  r2  r3  r4  r5  r6  rÎ   rÙ   r  r  r=  rA  rI  rL  rT  rW  rY  r   rF   r[  rZ  r   r   r   r   Ú<module>   sn   	    ~ 





-+