U
    |e                     @   s   d Z g ZddlmZ ddlZddlZddlmZ ddl	m
Z
mZmZ ddlmZ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mZm Z m!Z!m"Z"m#Z#m$Z$m%Z%m&Z&m'Z'm(Z(m)Z) G dd deeeZ*dd Z+dS )z>Base class for sparse matrix formats using compressed storage.    )warnN)_prune_array   )spmatrix
isspmatrixSparseEfficiencyWarning)_data_matrix_minmax_mixin)_sparsetools)get_csr_submatrixcsr_sample_offsetscsr_todensecsr_sample_valuescsr_row_indexcsr_row_slicecsr_column_index1csr_column_index2)
IndexMixin)upcastupcast_char	to_nativeisdenseisshapegetdtypeisscalarlike	isintlikeget_index_dtypedowncast_intp_indexget_sum_dtypecheck_shapeis_pydata_spmatrixc                   @   sZ  e Zd ZdZdyddZdzddZejje_d{dd	Zd|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$ Zd%d& Zd'd( Zd)d* Zd}d,d-Zejje_d.d/ Zd0d1 Zejje_d2d3 Zejje_d~d4d5Zejje_dd6d7Zd8d9 Zd:d; Zd<d= Z d>d? Z!d@dA Z"ddBdCZ#dDdE Z$ddFdGZ%ddHdIZ&dJdK Z'dLdM Z(dNdO Z)dPdQ Z*dRdS Z+dTdU Z,dVdW Z-dXdY Z.ddZd[Z/ej/je/_dd\d]Z0ej0je0_d^d_ Z1d`da Z2dbdc Z3e4e2e3ddZ5dedf Z6dgdh Z7didj Z8e4e7e8ddZ9dkdl Z:dmdn Z;dodp Z<dqdr Z=ej=je=_ddsdtZ>dudv Z?dwdx Z@dS )
_cs_matrixzBbase matrix class for compressed row- and column-oriented matricesNFc              
   C   s  t |  t|rF|j| jkr,|r,| }n|| j}| | nt|tr~t	|rt
|| _| j\}}tt||d}tdt|td| _td|| _tj| ||fd d |d| _nt|dkr| | j|||d}| | nt|dkrl|\}	}
}d }|d k	r"t|}t|
|f|d	d
}tj|
||d| _tj|||d| _tj|	||d| _ntd| jn`zt|}W n6 tk
r } ztd| j|W 5 d }~X Y nX | | | j||d |d k	rt
|| _np| jd krdz t| jd }| j d }W n. tk
rN } ztd|W 5 d }~X Y nX t
| ||f| _|d k	r| jj|dd| _| jdd d S )Nmaxvalr   )defaultr   dtype   shaper&      T)r#   check_contentscopyr&   z(unrecognized {}_matrix constructor usagez!unable to infer matrix dimensionsFr-   
full_check) r   __init__r   formatr-   asformat	_set_self
isinstancetupler   r   _shaper)   r   maxnpzerosr   floatdataindices_swapindptrlen	__class___coo_containerarray
ValueErrorasarray	Exceptionastypecheck_format)selfarg1r)   r&   r-   MN	idx_dtypeotherr<   r=   r?   r#   e	major_dim	minor_dim rR   U/var/www/website-v5/atlas_env/lib/python3.8/site-packages/scipy/sparse/_compressed.pyr1      s~    









z_cs_matrix.__init__c                 C   s   |d krt | jd S |dk r&|d7 }| |d| f\}}| | j\}}|dkrhtjt| j|dS |dkr|t| jS t	dd S )Nr   r'   r   )	minlengthzaxis out of bounds)
intr?   r>   r)   r9   bincountr   r=   diffrD   )rI   axis_rL   rR   rR   rS   getnnzl   s    z_cs_matrix.getnnzc                 C   s4   |r|  }|j| _|j| _|j| _t|j| _dS )z:take the member variables of other and assign them to selfN)r-   r<   r=   r?   r   r)   r7   )rI   rN   r-   rR   rR   rS   r4   }   s    z_cs_matrix._set_selfTc                 C   s  |  d\}}|  | j\}}| jjjdkrDtd| jjjdd | jjjdkrjtd| jjjdd t	| j| jf}t
j| j|d| _t
j| j|d| _t| j| _| jj| jj| jjfD ]}|dkrtd	qt| j|d krtd
t| j|d | jd dkrtdt| jt| jkr:td| jd t| jkrXtd|   |r| jdkr| j |krtd||| j dk rtd|t
| j dk rtddS )zcheck whether the matrix format is valid

        Parameters
        ----------
        full_check : bool, optional
            If `True`, rigorous check, O(N) operations. Otherwise
            basic check, O(1) operations (default True).
        )rowcolumniz'indptr array has non-integer dtype ({})r*   
stacklevelz(indices array has non-integer dtype ({})r%   r   z'data, indices, and indptr should be 1-Dz&index pointer size ({}) should be ({})r   z!index pointer should start with 0z*indices and data should have the same sizerT   zQLast value of index pointer should be less than the size of index and data arraysz{} index values must be < {}z{} index values must be >= 0z8index pointer values must form a non-decreasing sequenceN)r>   r)   r?   r&   kindr   r2   namer=   r   r9   rE   r   r<   ndimrD   r@   prunennzr8   minrX   )rI   r0   Z
major_nameZ
minor_namerP   rQ   rM   xrR   rR   rS   rH      s\    

  z_cs_matrix.check_formatc                 C   s*   |    | j|| j|dd}|  |S )zScalar version of self._binopt, for cases in which no new nonzeros
        are added. Produces a new spmatrix in canonical form.
        Tr.   )sum_duplicates
_with_datar<   eliminate_zeros)rI   rN   opresrR   rR   rS   _scalar_binopt   s    z_cs_matrix._scalar_binoptc                 C   s  t |rxt|r$| j| jtjdS |dkrhtdtdd | tj| jtjd}| 	|t
j}|| S | 	|t
jS nt|r|  |kS t|rtS t|rtdtdd | j|jkrdS | j|jkr|| j}| |d}| tj| jtjd}|| S dS d S )	Nr%   r   zOComparing a sparse matrix with 0 using == is inefficient, try using != instead.r*   r_   zHComparing sparse matrices using == is inefficient, try using != instead.F_ne_)r   r9   isnanrA   r)   bool_r   r   onesrm   operatorneeqr   todenser    NotImplementedr   r2   r3   _binopt)rI   rN   all_trueinvrl   rR   rR   rS   __eq__   s:    

 z_cs_matrix.__eq__c                 C   s   t |rt|r<tdtdd | tj| jtjd}|S |dkrtdtdd | jt| jtjd}| 	|t
j}|| S | 	|t
jS n`t|r|  |kS t|rtS t|r| j|jkrdS | j|jkr|| j}| |dS dS d S )	Nz:Comparing a sparse matrix with nan using != is inefficientr*   r_   r%   r   z^Comparing a sparse matrix with a nonzero scalar using != is inefficient, try using == instead.Trn   )r   r9   ro   r   r   rA   rq   r)   rp   rm   rr   rt   rs   r   ru   r    rv   r   r2   r3   rw   )rI   rN   rx   ry   rR   rR   rS   __ne__   s8    
  z_cs_matrix.__ne__c                 C   s,  t |rzd|kr"|dkr"tdnV|d|rlt|t tj| jt|d}|| | 	|}| 
||S | ||S nt|r||  |S t|r | j|jkrtdn| j|jkr|| j}|dkr| 
||S tdt | 	tj| jtjd}| 
||dkrd	nd
}|| S tdd S )Nr   )_le__ge_z >= and <= don't work with 0.r%   inconsistent shapes)r}   r|   zUComparing sparse matrices using >= and <= is inefficient, using <, >, or !=, instead.r|   _gt__lt_zOperands could not be compared.)r   NotImplementedErrorr   r   r9   emptyr)   result_typefillrA   rw   rm   r   ru   r   rD   r2   r3   rq   rp   )rI   rN   rk   op_nameZbad_scalar_msg	other_arrrx   rl   rR   rR   rS   _inequality  s4    






z_cs_matrix._inequalityc                 C   s   |  |tjddS )Nr   zgComparing a sparse matrix with a scalar greater than zero using < is inefficient, try using >= instead.)r   rr   ltrI   rN   rR   rR   rS   __lt__?  s    z_cs_matrix.__lt__c                 C   s   |  |tjddS )Nr   zdComparing a sparse matrix with a scalar less than zero using > is inefficient, try using <= instead.)r   rr   gtr   rR   rR   rS   __gt__E  s    z_cs_matrix.__gt__c                 C   s   |  |tjddS )Nr|   zgComparing a sparse matrix with a scalar greater than zero using <= is inefficient, try using > instead.)r   rr   ler   rR   rR   rS   __le__K  s    z_cs_matrix.__le__c                 C   s   |  |tjddS )Nr}   zdComparing a sparse matrix with a scalar less than zero using >= is inefficient, try using < instead.)r   rr   ger   rR   rR   rS   __ge__Q  s    z_cs_matrix.__ge__c                 C   s   |j | j kr td| j |j t| jj|jj}| dd }tj|||dd}| | j \}}|j	j
rn|n|j}t||| j| j| j| | j|ddS )NzIncompatible shapes ({} and {})CFr   T)r&   orderr-   Fr.   )r)   rD   r2   r   r&   charr>   r9   rC   flagsc_contiguousTr   r?   r=   r<   
_container)rI   rN   r&   r   resultrK   rL   yrR   rR   rS   
_add_dense[  s     z_cs_matrix._add_densec                 C   s   |  |dS )NZ_plus_rw   r   rR   rR   rS   _add_sparseg  s    z_cs_matrix._add_sparsec                 C   s   |  |dS )NZ_minus_r   r   rR   rR   rS   _sub_sparsej  s    z_cs_matrix._sub_sparsec                 C   s2  t |r| |S t|rB| j|jkr>| |}| |dS |jdkrZ| | d S | jdkrv||  d S | jd dkr|jd dkr| | S | jd dkr|jd dkr||  S |jd dkr&| jd |jd kr&| j	| 
 dgf|jd |jd fd}| |S | jd dkr| jd |jd kr| j	|  
 dgf| jd | jd fd}||S |jd dkr| jd |jd kr| j	| 
 dgf|jd |jd fd}|| S | jd dkr:| jd |jd kr:| j	|  
 dgf| jd | jd fd}||S tdt|}|jdkrht|  |S |jdkr| |jd S | jdkrt|  d |S |  }| j|jkrt|j||j|jf }nD| jd dkr|jd dkrt|j|}n<|jd | jd kr<t|j|d	d	|jf }ntdtt|jd t|j}t|j|jd }| j|tj
 ||ff|jd | jd fd
dS | jd dkr|jd dkrt|jd	d	d	f |}n@|jd | jd krt|jd	d	d	f ||j }ntdt|j|jd }tt|jd t|j}| j|tj
 ||ff| jd |jd fd
dS |jd dkr| jd |jd krt|j|d	d	|jf 
 }nH|jd dkr| jd |jd krt|j||j 
 }ntd|tj
 |_|S )zPPoint-wise multiplication by another matrix, vector, or
        scalar.
        Z_elmul_)r   r   )r   r   r   r   r)   r~   r'   NFr)   r-   )r   _mul_scalarr   r)   rA   rw   toarray_mul_sparse_matrixtocsc_dia_containerravelrD   r9   
atleast_2drc   multiplysizeflattocoor<   r\   colrepeataranger@   tilerB   viewndarray)rI   rN   r-   retr<   r\   r   rR   rR   rS   r   m  s    




&
&
&
&

"&"&z_cs_matrix.multiplyc                 C   sT   | j \}}tj|t| jj|jjd}tt| jd }|||| j	| j
| j|| |S )Nr%   Z_matvec)r)   r9   r:   r   r&   r   getattrr
   r2   r?   r=   r<   )rI   rN   rK   rL   r   fnrR   rR   rS   _mul_vector  s    
z_cs_matrix._mul_vectorc              
   C   sl   | j \}}|j d }tj||ft| jj|jjd}tt| jd }||||| j	| j
| j| |  |S )Nr   r%   Z_matvecs)r)   r9   r:   r   r&   r   r   r
   r2   r?   r=   r<   r   )rI   rN   rK   rL   Zn_vecsr   r   rR   rR   rS   _mul_multivector  s    


 z_cs_matrix._mul_multivectorc                 C   sf  | j \}}|j \}}| ||fd }| |}t| j| j|j|jf}tt| jd }|||t	j
| j|dt	j
| j|dt	j
|j|dt	j
|j|d}	t| j| j|j|jf|	d}t	j|d |d}
t	j|	|d}t	j|	t| j|jd}tt| jd }|||t	j
| j|dt	j
| j|d| jt	j
|j|dt	j
|j|d|j|
|| | j|||
f||fdS )Nr   Z_matmat_maxnnzr%   r"   r   Z_matmatr   )r)   r>   rA   r   r?   r=   r   r
   r2   r9   rE   r   r   r&   r<   )rI   rN   rK   ZK1ZK2rL   Z
major_axisrM   r   re   r?   r=   r<   rR   rR   rS   r     sH    



 
   z_cs_matrix._mul_sparse_matrixr   c                 C   s   | j \}}|| ks||kr.tjd| jjdS tt| jd }tjt|t|d |t	|d t
| jd}||| j d | j d | j| j| j| |S )Nr   r%   Z	_diagonalr   )r)   r9   r   r<   r&   r   r
   r2   rf   r8   r   r?   r=   )rI   krowscolsr   r   rR   rR   rS   diagonal  s    
  z_cs_matrix.diagonalc                 C   s   t |r||rVtdtdd tj| jt|jd}|| | 	|}| 
||S |   || jt|}| j	|| j| jf|j| jd}|S n2t|r||  |S t|r| 
||S tdd S )NzITaking maximum (minimum) with > 0 (< 0) number results to a dense matrix.r*   r_   r%   )r&   r)   zOperands not compatible.)r   r   r   r9   r   r)   rE   r&   r   rA   rw   rh   r<   r=   r?   r   ru   r   rD   )rI   rN   Znpopr   Zdense_checkr   Znew_datamatrR   rR   rS   _maximum_minimum0  s,    

 z_cs_matrix._maximum_minimumc                 C   s   |  |tjddd S )NZ	_maximum_c                 S   s   t | dkS Nr   r9   rE   rg   rR   rR   rS   <lambda>I      z$_cs_matrix.maximum.<locals>.<lambda>)r   r9   maximumr   rR   rR   rS   r   G  s    
 z_cs_matrix.maximumc                 C   s   |  |tjddd S )NZ	_minimum_c                 S   s   t | dk S r   r   r   rR   rR   rS   r   O  r   z$_cs_matrix.minimum.<locals>.<lambda>)r   r9   minimumr   rR   rR   rS   r   M  s    
 z_cs_matrix.minimumc                 C   s   t | ds|| dd krt| j}tjt| jd |d}| tj	\}}|||< | 
|}|d dkrr|j}|dk	r|j|jkrtd|jd	||d
S tj| |||d
S dS )z~Sum the matrix over the given axis.  If the axis is None, sum
        over both rows and columns, returning a scalar.
        	blocksize))r   rT   )r   r'   r   r   r%   r'   Nzdimensions do not matchrR   )rY   r&   out)hasattrr>   r   r&   r9   r:   r@   r?   _minor_reduceadd_ascontainerr   r)   rD   sumr   )rI   rY   r&   r   	res_dtyper   major_indexvaluerR   rR   rS   r   W  s    


z_cs_matrix.sumc                 C   s>   |dkr| j }tt| j}||t| j| }||fS )a  Reduce nonzeros with a ufunc over the minor axis when non-empty

        Can be applied to a function of self.data by supplying data parameter.

        Warning: this does not call sum_duplicates()

        Returns
        -------
        major_index : array of ints
            Major indices where nonzero

        value : array of self.dtype
            Reduce result for nonzeros in each major_index
        N)r<   r9   flatnonzerorX   r?   reduceatr   )rI   ufuncr<   r   r   rR   rR   rS   r   t  s    z_cs_matrix._minor_reducec           
      C   s\   |  | j\}}|  ||f\}}t||| j| j| j||d ||d 	\}}}	|	j| jdS )Nr   r%   )r>   r)   r   r?   r=   r<   r   r&   )
rI   r\   r   rK   rL   majorminorr?   r=   r<   rR   rR   rS   _get_intXint  s           
z_cs_matrix._get_intXintc                 C   sF   |  ||f\}}|jdkr6|jdkr6| j||ddS | ||S )N)r   NTr.   )r>   step_get_submatrix_major_slice_minor_slicerI   r\   r   r   r   rR   rR   rS   _get_sliceXslice  s    z_cs_matrix._get_sliceXslicec           	   
   C   s   | j j}| | j\}}| ||f\}}tj||d}tj||d}tj|j| jd}t||| j	| j | j
|j| | |	 |jdkr| |S | ||jS )Nr%   r   )r=   r&   r>   r)   r9   rE   r   r   r   r?   r<   r   rc   r   rA   reshape)	rI   r\   r   rM   rK   rL   r   r   valrR   rR   rS   _get_arrayXarray  s       

z_cs_matrix._get_arrayXarrayc                 C   s"   |  ||f\}}| ||S N)r>   _major_index_fancy_minor_index_fancyr   rR   rR   rS   _get_columnXarray  s    z_cs_matrix._get_columnXarrayc                 C   s   | j j}tj||d }| | j\}}t|}| ||f}|dkrX| j|| jdS | j	|d  | j	|  }| j j}tj
|d |d}	tj||	dd d |	d }
tj|
|d}tj|
| jd}t||| j	| j | j|| | j|||	f|ddS )	zBIndex along the major axis where idx is an array of ints.
        r%   r   r   Nr   rT   Fr   )r=   r&   r9   rE   r   r>   r)   r@   rA   r?   r:   cumsumr   r   r<   )rI   idxrM   r=   rZ   rL   rK   	new_shaperow_nnz
res_indptrre   res_indicesres_datarR   rR   rS   r     s,      z_cs_matrix._major_index_fancyc              	   C   s  |t dkr|r|  S | S | | j\}}||\}}}tt|||}| ||f}|dkrr| j|| jdS || }	}
|dkr|dkrd}
|d |d  }}| j	||| | j	|	|
|  }| jj}t
j|d |d}t
j||dd d |dkr<t | j	| | j	| }t
j| j| |d}t
j| j| |d}nB|d }t
j||d}t
j|| jd}t|||| j	| j| j|| | j|||f|dd	S )
z@Index along the major axis where idx is a slice object.
        Nr   r%   rT   r   r   r.   Fr   )slicer-   r>   r)   r=   r@   rangerA   r&   r?   r9   r:   r   rC   r<   r   r   )rI   r   r-   rK   rL   startstopr   r   Zstart0Zstop0Zstart1Zstop1r   rM   r   Zall_idxr   r   re   rR   rR   rS   r     sD    

   z_cs_matrix._major_slicec              	   C   s   | j j}tj||d }| | j\}}t|}| ||f}|dkrX| j|| jdS tj	||d}t
| j}t||||| j| j || t|j|dd}	|d }
tj|
|d}tj|
| jd}t|	|t| j | j | j|| | j|||f|ddS )zBIndex along the minor axis where idx is an array of ints.
        r%   r   Fr.   rT   r   )r=   r&   r9   rE   r   r>   r)   r@   rA   r:   
empty_liker?   r   argsortrG   r   r   r<   )rI   r   rM   rK   rL   r   r   Zcol_offsetsr   Z	col_orderre   r   r   rR   rR   rS   r     s6         z_cs_matrix._minor_index_fancyc                 C   s   |t dkr|r|  S | S | | j\}}||\}}}tt|||}|dkrn| j| ||f| jdS |dkr| j	||dS | 
t|||S )z@Index along the minor axis where idx is a slice object.
        Nr   r%   r   )r   r-   )r   r-   r>   r)   r=   r@   r   rA   r&   r   r   r9   r   )rI   r   r-   rK   rL   r   r   r   rR   rR   rS   r     s    z_cs_matrix._minor_slicec              
   C   s   |  | j\}}t||\}}t||\}}	|dkr\|dkr\||kr\|	|kr\|rX|  S | S t||| j| j| j||||		\}
}}|  || |	| f}| j|||
f|| j	ddS )zbReturn a submatrix of this matrix.

        major, minor: None, int, or slice with step 1
        r   F)r)   r&   r-   )
r>   r)   _process_slicer-   r   r?   r=   r<   rA   r&   )rI   r   r   r-   rK   rL   i0i1Zj0j1r?   r=   r<   r)   rR   rR   rS   r     s*             
 z_cs_matrix._get_submatrixc                 C   s$   |  ||f\}}| ||| d S r   r>   	_set_manyrI   r\   r   rg   r^   jrR   rR   rS   _set_intXint1  s    z_cs_matrix._set_intXintc                 C   s$   |  ||f\}}| ||| d S r   r   r   rR   rR   rS   _set_arrayXarray5  s    z_cs_matrix._set_arrayXarrayc                 C   s  | j | ||f  |j\}}|dko2|jd dk}|dkoH|jd dk}|j|j }}	tj|j| jd}|j	dkrxd S |rt
t|t|}t|	|}	t||}|rt
||}tt|t|	}	t
||}| |||	f |||	f f\}
}| |
|| d S )Nr   r   r%   )
_zero_manyr>   r)   r\   r   r9   rE   r<   r&   r   r   r   r@   r   r   )rI   r\   r   rg   rK   rL   Zbroadcast_rowZbroadcast_colrcr^   r   rR   rR   rS   _set_arrayXarray_sparse9  s$    

"z"_cs_matrix._set_arrayXarray_sparsec           	      C   s   d| j krd S | j \}}|jdk}|dk r|r>t|| |}nt|| |t|}tj|| jjd}tj|| jjd}||8 }nT|rt||| }nt||| t|}tj|| jjd}tj|| jjd}||7 }|s|d t| }|| ||f< d S )Nr   r%   )r)   rc   rf   r@   r9   r   r=   r&   )	rI   valuesr   rK   rL   	broadcast	max_indexr^   r   rR   rR   rS   _setdiagR  s(    



z_cs_matrix._setdiagc                 C   sl   |  | j\}}dd }tj|| jjddd }tj|| jjddd }||| ||| ||||fS )Nc                 S   sF   |   }||kr td||f |  }|| k rBtd||f d S )Nzindex (%d) out of range (>= %d)zindex (%d) out of range (< -%d))r8   
IndexErrorrf   )r=   boundr   rR   rR   rS   check_boundss  s    
z1_cs_matrix._prepare_indices.<locals>.check_boundsFr   r&   r-   ndmin)r>   r)   r9   rC   r=   r&   r   )rI   r^   r   rK   rL   r  rR   rR   rS   _prepare_indicesp  s    


z_cs_matrix._prepare_indicesc           
   	   C   s"  |  ||\}}}}tj|| jddd }|j}tj|| jjd}t||| j	| j||||}|dkr| 
  t||| j	| j|||| d|kr|| j|< dS td| jtdd	 |dk}	||	 | j||	 < |	 }	||	 }||d
k   |7  < ||	 }||d
k   |7  < | ||||	  dS )zSets value at each (i, j) to x

        Here (i,j) index major and minor respectively, and must not contain
        duplicate entries.
        Fr   r  r%   rT   NzZChanging the sparsity structure of a {}_matrix is expensive. lil_matrix is more efficient.r*   r_   r   )r  r9   rC   r&   r   r   r   r=   r   r?   rh   r<   r   r2   r   _insert_many)
rI   r^   r   rg   rK   rL   	n_samplesoffsetsr   maskrR   rR   rS   r     sB        
 z_cs_matrix._set_manyc              	   C   s   |  ||\}}}}t|}tj|| jjd}t||| j| j||||}|dkrr|   t||| j| j|||| d| j	||dk < dS )zSets value at each (i, j) to zero, preserving sparsity structure.

        Here (i,j) index major and minor respectively.
        r%   r   r   rT   N)
r  r@   r9   r   r=   r&   r   r?   rh   r<   )rI   r^   r   rK   rL   r  r  r   rR   rR   rS   r     s         z_cs_matrix._zero_manyc                 C   s  t j|dd}|j|dd}|j|dd}|j|dd}| j}t| j| jf| jd |j d}t j| j|d| _t j| j|d| _t j||d}t j||d}g }g }t j	|dd	\}	}
t 
|
t|}
t |
}d
}tt|	|
|
dd D ]\}\}}}| j| }| j| }|
| j||  |
| j||  t j	||| ddd dd	\}}t||| kr|
|||  |
|||  nL|
||| ddd |  |
||| ddd |  t|||< |}q| j| }|
| j|d  |
| j|d  t || _t || _t j| jj|d}|d
|d
< t | j}||	  |7  < ||dd< t j||d| _|rd| _|   | jdd dS )a:  Inserts new nonzero at each (i, j) with value x

        Here (i,j) index major and minor respectively.
        i, j and x must be non-empty, 1d arrays.
        Inserts each major group (e.g. all entries per row) at a time.
        Maintains has_sorted_indices property.
        Modifies i, j, x in place.
        	mergesort)ra   clip)moderT   r"   r%   T)return_indexr   r   Nr   Fr/   )r9   r   takehas_sorted_indicesr   r=   r?   r   rE   uniqueappendr@   rX   	enumeratezipr<   concatenater   r)   r   sort_indicesrH   )rI   r^   r   rg   r   Zdo_sortrM   Zindices_partsZ
data_partsuiZ	ui_indptrZnew_nnzsprevr   iijsZjer   r   ZujZ	uj_indptrZnnzsZindptr_diffrR   rR   rS   r    s\    	
&

$  
z_cs_matrix._insert_manyc                 C   sn   |  | j\}}| j}tjt|| jjd}t|| j	| |  ||f\}}| j
| j||ff| j|| jdS )Nr%   r,   )r>   r)   r=   r9   r   r@   r&   r
   	expandptrr?   rB   r<   )rI   r-   rP   rQ   Zminor_indicesZmajor_indicesr\   r   rR   rR   rS   r   
  s      z_cs_matrix.tocooc                 C   s   |d kr|d kr|  dd }| ||}|jjsB|jjsBtd|jjrX|  }|}n|  }|j}| |j	\}}t
|||j|j|j| |S )Ncfr   z&Output array must be C or F contiguous)r>   _process_toarray_argsr   r   f_contiguousrD   tocsrr   r   r)   r   r?   r=   r<   )rI   r   r   rg   r   rK   rL   rR   rR   rS   r     s    z_cs_matrix.toarrayc                 C   s4   |  | j\}}t||| j| j| j |   dS )zVRemove zero entries from the matrix

        This is an *in place* operation.
        N)r>   r)   r
   csr_eliminate_zerosr?   r=   r<   rd   rI   rK   rL   rR   rR   rS   rj   /  s
    z_cs_matrix.eliminate_zerosc                 C   sF   t | ddsd| _n,t| ds@ttt| jd | j| j| _	| jS )a^  Determine whether the matrix has sorted indices and no duplicates

        Returns
            - True: if the above applies
            - False: otherwise

        has_canonical_format implies has_sorted_indices, so if the latter flag
        is False, so will the former be; if the former is found True, the
        latter flag is also set.
        _has_sorted_indicesTF_has_canonical_formatr   )
r   r"  r   boolr
   csr_has_canonical_formatr@   r?   r=   has_canonical_formatrI   rR   rR   rS   Z__get_has_canonical_format9  s    
  z%_cs_matrix.__get_has_canonical_formatc                 C   s   t || _|rd| _d S )NT)r#  r"  r  rI   r   rR   rR   rS   Z__set_has_canonical_formatO  s    
z%_cs_matrix.__set_has_canonical_format)fgetfsetc                 C   sL   | j r
dS |   | | j\}}t||| j| j| j | 	  d| _ dS )zmEliminate duplicate matrix entries by adding them together

        This is an *in place* operation.
        NT)
r%  r  r>   r)   r
   csr_sum_duplicatesr?   r=   r<   rd   r   rR   rR   rS   rh   W  s    z_cs_matrix.sum_duplicatesc                 C   s2   t | ds,ttt| jd | j| j| _| jS )zDetermine whether the matrix has sorted indices

        Returns
            - True: if the indices of the matrix are in sorted order
            - False: otherwise

        r!  r   )r   r#  r
   csr_has_sorted_indicesr@   r?   r=   r!  r&  rR   rR   rS   Z__get_sortedg  s    

  z_cs_matrix.__get_sortedc                 C   s   t || _d S r   )r#  r!  r'  rR   rR   rS   Z__set_sortedw  s    z_cs_matrix.__set_sortedc                 C   s   |   }|  |S )z9Return a copy of this matrix with sorted indices
        )r-   r  )rI   ArR   rR   rS   sorted_indices|  s    z_cs_matrix.sorted_indicesc                 C   s0   | j s,tt| jd | j| j| j d| _ dS )z3Sort the indices of this matrix *in place*
        r   TN)r  r
   csr_sort_indicesr@   r?   r=   r<   r&  rR   rR   rS   r    s     z_cs_matrix.sort_indicesc                 C   s   |  | jd }t| j|d kr*tdt| j| jk rBtdt| j| jk rZtdt| jd| j | _t| jd| j | _dS )z8Remove empty space after all non-zero elements.
        r   r   z index pointer has invalid lengthz)indices array has fewer than nnz elementsz&data array has fewer than nnz elementsN)	r>   r)   r@   r?   rD   r=   re   r<   r   )rI   rP   rR   rR   rS   rd     s    z_cs_matrix.prunec                 G   s  t |}t| drz| j\}}t|d |\}}t|d |\}}|sH|rZtd| j|f | jd | | jd |  }}	n| |\}}| | j\}}	||k r| jd | j|  | _| j	d | j|  | _	| jd |d  | _n<||krt
| j|d | _| j|d d  | j|  ||	k r| j|k }
t
|
s| j|
 | _| j	|
 | _	| t
j|
\}}| jd || jdd  |< t
j| j| jd || _d S )Nr   r   r   z.shape must be divisible into %s blocks. Got %sr   )r   r   r   divmodrD   r)   r>   r=   r?   r<   r9   resizer   allr   r   r   r7   )rI   r)   bmbnZnew_MZrmZnew_NZrnrK   rL   r	  r   r   rR   rR   rS   r0    s:    

 


z_cs_matrix.resizec                 C   sL   |r*| j || j | j f| j|jdS | j || j| jf| j|jdS dS )zReturns a matrix with the same sparsity structure as self,
        but with different data.  By default the structure arrays
        (i.e. .indptr and .indices) are copied.
        r(   N)rA   r=   r-   r?   r)   r&   )rI   r<   r-   rR   rR   rS   ri     s     z_cs_matrix._with_datac                 C   s&  |  |}tt| j| | j }| j|j }t| j| j|j|jf|d}tj	| jj
|d}tj	||d}dddddg}||krtj	|tjd}	ntj	|t| j|jd}	|| j
d | j
d	 tj| j|dtj| j|d| jtj|j|dtj|j|d|j|||	 | j |	||f| j
d
}
|
  |
S )z5apply the binary operation fn to two sparse matrices.r"   r%   rn   r   r   r|   r}   r   r   r   )rA   r   r
   r2   re   r   r?   r=   r9   r   r)   rp   r   r&   rE   r<   rd   )rI   rN   rk   r   ZmaxnnzrM   r?   r=   Zbool_opsr<   r,  rR   rR   rS   rw     s:    

   	z_cs_matrix._binoptc                 C   s   |j | j krtd| |d}t|jtjrtj| j | jd}|tj	 |
 \}}d|||f< | }|j||j|jf< | |}n|}|S )z?
        Divide this matrix by a second sparse matrix.
        r~   Z_eldiv_r%   r   )r)   rD   rw   r9   
issubdtyper&   inexactr   r   nannonzeror   r<   r\   r   r   )rI   rN   r   r   r\   r   rR   rR   rS   _divide_sparse  s    z_cs_matrix._divide_sparse)NNF)N)F)T)r   )NNN)N)F)F)NNF)T)NN)T)A__name__
__module____qualname____doc__r1   r[   r   r4   rH   rm   rz   r{   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r  r   r   r  r   r   rj   Z$_cs_matrix__get_has_canonical_formatZ$_cs_matrix__set_has_canonical_formatpropertyr%  rh   Z_cs_matrix__get_sortedZ_cs_matrix__set_sortedr  r-  r  rd   r0  ri   rw   r8  rR   rR   rR   rS   r!      s   
R



F	$""
s$







(

'L




	"

"r!   c                 C   s   | d krd| }}nt | trJ| |\}}}|dkr>tdt||}nRt| r| dk rb| |7 } | | d  }}|dk s||krtd|||f ntd||fS )Nr   r   z$slicing with step != 1 not supportedz'index out of bounds: 0 <= %d < %d <= %dzexpected slice or scalar)r5   r   r=   rD   rf   r   r   	TypeError)slnumr   r   striderR   rR   rS   r     s"    
r   ),r<  __all__warningsr   rr   numpyr9   scipy._lib._utilr   _baser   r   r   _datar   r	    r
   r   r   r   r   r   r   r   r   Z_indexr   _sputilsr   r   r   r   r   r   r   r   r   r   r   r   r    r!   r   rR   rR   rR   rS   <module>   s.   (<          