U
    -e                     @   sP  d dl mZ d dlZd dlmZmZ d dlmZmZm	Z	 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mZmZmZmZmZmZ d d
lmZ d dlmZmZ d dl m!Z" d dl#m$Z$ d dl%m&Z& G dd deeZ'e(ee'fe' dd Z)dd Z*dd Z+dd Z,edd eeee*e)e+e,eefZ-eedd ee- Z.dS )    )reduceN)Basicsympify)addAdd_could_extract_minus_sign)default_sort_keyadjoint)
MatrixBase	transpose)rm_idunpackflattensort	conditionexhaustdo_oneglom)
MatrixExpr)
ZeroMatrixGenericZeroMatrix)validate_matadd_integer)sift)sympy_deprecation_warningc                       s   e Zd ZdZdZe ZddddddZedd	 Z	e
d
d Zdd Z fddZdd Zdd Zdd Zdd Zdd Zdd Z  ZS )MatAdda3  A Sum of Matrix Expressions

    MatAdd inherits from and operates like SymPy Add

    Examples
    ========

    >>> from sympy import MatAdd, MatrixSymbol
    >>> A = MatrixSymbol('A', 5, 5)
    >>> B = MatrixSymbol('B', 5, 5)
    >>> C = MatrixSymbol('C', 5, 5)
    >>> MatAdd(A, B, C)
    A + B + C
    TFN)evaluatecheck_sympifyc                   s   |s
 j S tt fdd|}|r2ttt|}tdd |D sLtdtj f| }|d k	rrt	dddd	 |d
k	rt
|  |r |}|S )Nc                    s
    j | kS N)identity)icls b/var/www/html/Darija-Ai-Train/env/lib/python3.8/site-packages/sympy/matrices/expressions/matadd.py<lambda>,       z MatAdd.__new__.<locals>.<lambda>c                 s   s   | ]}t |tV  qd S r    )
isinstancer   .0argr%   r%   r&   	<genexpr>0   s     z!MatAdd.__new__.<locals>.<genexpr>z Mix of Matrix and Scalar symbolszaPassing check to MatAdd is deprecated and the check argument will be removed in a future version.z1.11z,remove-check-argument-from-matrix-operations)Zdeprecated_since_versionZactive_deprecations_targetF)r!   listfiltermapr   all	TypeErrorr   __new__r   validate	_evaluate)r$   r   r   r   argsobjr%   r#   r&   r3   &   s&    
zMatAdd.__new__c                 C   s   t |S r    )canonicalize)r$   exprr%   r%   r&   r5   C   s    zMatAdd._evaluatec                 C   s   | j d jS Nr   )r6   shapeselfr%   r%   r&   r;   G   s    zMatAdd.shapec                 C   s   t | S r    )r   r<   r%   r%   r&   could_extract_minus_signK   s    zMatAdd.could_extract_minus_signc                    s   t t| jf |}| |S r    )superr   expandr5   )r=   kwargsexpanded	__class__r%   r&   r@   N   s    zMatAdd.expandc                    s   t  fdd| jD  S )Nc                    s   g | ]}|j  fqS r%   )_entryr*   r"   jrA   r%   r&   
<listcomp>S   s     z!MatAdd._entry.<locals>.<listcomp>)r   r6   )r=   r"   rG   rA   r%   rF   r&   rE   R   s    zMatAdd._entryc                 C   s   t dd | jD   S )Nc                 S   s   g | ]}t |qS r%   r   r*   r%   r%   r&   rH   V   s     z*MatAdd._eval_transpose.<locals>.<listcomp>r   r6   doitr<   r%   r%   r&   _eval_transposeU   s    zMatAdd._eval_transposec                 C   s   t dd | jD   S )Nc                 S   s   g | ]}t |qS r%   r	   r*   r%   r%   r&   rH   Y   s     z(MatAdd._eval_adjoint.<locals>.<listcomp>rI   r<   r%   r%   r&   _eval_adjointX   s    zMatAdd._eval_adjointc                    s(   ddl m   t fdd| jD   S )N   tracec                    s   g | ]} |qS r%   r%   r*   rN   r%   r&   rH   ]   s     z&MatAdd._eval_trace.<locals>.<listcomp>)rO   r   r6   rJ   r<   r%   rN   r&   _eval_trace[   s    zMatAdd._eval_tracec                    s8     dd}|r& fdd| jD }n| j}tt| S )NdeepTc                    s   g | ]}|j f  qS r%   )rJ   r*   hintsr%   r&   rH   b   s     zMatAdd.doit.<locals>.<listcomp>)getr6   r8   r   )r=   rS   rQ   r6   r%   rR   r&   rJ   _   s
    zMatAdd.doitc                    s"    fdd| j D }dd |D S )Nc                    s   g | ]}|  qS r%   )_eval_derivative_matrix_linesr*   xr%   r&   rH   h   s     z8MatAdd._eval_derivative_matrix_lines.<locals>.<listcomp>c                 S   s   g | ]}|D ]}|qqS r%   r%   )r+   r"   rG   r%   r%   r&   rH   i   s       )r6   )r=   rW   Z	add_linesr%   rV   r&   rU   g   s    z$MatAdd._eval_derivative_matrix_lines)__name__
__module____qualname____doc__Z	is_MatAddr   r!   r3   classmethodr5   propertyr;   r>   r@   rE   rK   rL   rP   rJ   rU   __classcell__r%   r%   rC   r&   r      s    

r   c                 C   s   |   d S r:   )as_coeff_mmulr,   r%   r%   r&   r'   n   r(   r'   c                 C   s   t |  d S NrM   )r   r_   r`   r%   r%   r&   r'   o   r(   c                 C   s   | dkr|S | | S d S ra   r%   )Zcntmatr%   r%   r&   combinep   s    rc   c                 C   sF   t | jdd }t|d dkr>t|d ttj|d g  S | S dS )a   Merge explicit MatrixBase arguments

    Examples
    ========

    >>> from sympy import MatrixSymbol, eye, Matrix, MatAdd, pprint
    >>> from sympy.matrices.expressions.matadd import merge_explicit
    >>> A = MatrixSymbol('A', 2, 2)
    >>> B = eye(2)
    >>> C = Matrix([[1, 2], [3, 4]])
    >>> X = MatAdd(A, B, C)
    >>> pprint(X)
        [1  0]   [1  2]
    A + [    ] + [    ]
        [0  1]   [3  4]
    >>> pprint(merge_explicit(X))
        [2  2]
    A + [    ]
        [3  5]
    c                 S   s
   t | tS r    )r)   r   r`   r%   r%   r&   r'      r(   z merge_explicit.<locals>.<lambda>TrM   FN)r   r6   lenr   r   operatorr   )Zmataddgroupsr%   r%   r&   merge_explicitw   s    rg   c                 C   s   | dkpt | tS r:   )r)   r   rV   r%   r%   r&   r'      r(   c                 C   s
   t | tS r    )r)   r   rV   r%   r%   r&   r'      r(   )/	functoolsr   re   Z
sympy.corer   r   Zsympy.core.addr   r   r   Zsympy.core.sortingr   Zsympy.functionsr
   Zsympy.matrices.matricesr   Z$sympy.matrices.expressions.transposer   Zsympy.strategiesr   r   r   r   r   r   r   r   Z"sympy.matrices.expressions.matexprr   Z"sympy.matrices.expressions.specialr   r   Z!sympy.matrices.expressions._shaper   r4   Zsympy.utilities.iterablesr   Zsympy.utilities.exceptionsr   r   Zregister_handlerclassZ	factor_ofZ	matrix_ofrc   rg   rulesr8   r%   r%   r%   r&   <module>   s:   (X


