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j3d_d`da ZdeejeddbdcZfddde Zgeejhdfdg Zieejjdhdi Zkeejldjdk Zleejmdldm Zmeejndndo Zodpdq ZpeejqddrdsZqeejrddtduZredvdw Zsedxdy Ztedzd{ Zud|d} ZveevesdYd~ZweevetdYd~Zxeevesdd~Zyeevetdd~Zzedd Z{eej|dddZ|eej}dd Z~eejdd Zeejdd Zeejdd Zeejdd Zeejdd Zeejdd Zeejdd Zeejdd Zedd Zdd Zdd Zdd Zeedd Zeedd Zdd Zeedd Zeejdd Zedk rXee
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eejeejddMdNZedk rKeeje eejdOdP ZeejddQdRZeeje
j3edSe
j3dTdU ZdVdW ZedXdY ZedZd[ Zd\d] Zeejd^d_ Zeejd`da Zeejdbdc Zeejddde Zeej dfdg Z!eej"ddhdiZ#edjd Z$edkd Z%eej&dldm Z'eej(ddodpZ)eej*dqdr Z+eej,ddsdtZ-dudv Z.eej/ddwdxZ0eeZ1eeZ2edydz Z3ed{d| Z4ed}d~ Z5edd Z6edd Z7dd Z8e9ddhZ:dd Z;eej<dddZ<eej=dddZ>e?Z@eejAdddZBdZCedeCZDdZEedeEZFdZGedeGZHdd ZIeejFdd ZJeejHdd ZKdd ZLdd ZMdd ZNeeNdd ZOeejPdddZQeejRdddZSeejTdddZUedk rveejVejWfddZXeejYdd ZZeej[dddZ\eej]dd Z^eej_dddZ`eejadddZbedd Zcedd Zdedd Zeedd ZfddÄ Zgeejhegec eejieged eejjegee eejkegef elg dĢZmelg dŢZnedƐdǄ ZoedȐdɄ Zpedʐd˄ Zqeejrd̐d̈́ Zsedΐdτ ZtdАdф ZueeudҐdӄ ZveejwdԐdՄ Zxed֐dׄ Zydؐdل Zzeezdڐdۄ Z{eej|ddݐdބZ}eej~ddߐdZeejdddZeejdddZeejdddZdS (  z5
Implementation of math operations on Array objects.
    N)
namedtuple)typescgutils)overloadoverload_methodregister_jitable)as_dtypetype_can_asarraytype_is_scalarnumpy_versionis_nonelikecheck_is_integer	lt_floats
lt_complex)lower_builtinimpl_ret_borrowedimpl_ret_new_refimpl_ret_untracked)
make_array	load_item
store_item_empty_nd_impl)ensure_blas)	intrinsic)RequireLiteralValueTypingErrorNumbaValueErrorNumbaNotImplementedErrorNumbaTypeError)tuple_setitemc                   C   s"   zt   W dS  ty   Y dS w NFT)r   ImportError r"   r"   b/home/app/PaddleOCR-VL-test/.venv_paddleocr/lib/python3.10/site-packages/numba/np/old_arraymath.py_check_blas   s   r$   c                    s<   t |d  ttj |} fdd}||fS )a  
    This routine converts shape list where the axis dimension has already
    been popped to a tuple for indexing of the same size.  The original shape
    tuple is also required because it contains a length field at compile time
    whereas the shape list does not.
       c              	      sp   |  }t|}|\}}dd }t D ]}	| tj|	}
| ||ttj||
g}||||	}q|S )Nc                 S   s   | | S Nr"   )air"   r"   r#   array_indexerD      zB_create_tuple_result_shape.<locals>.codegen.<locals>.array_indexer)	get_value_typer   get_null_valuerangeget_constantr   intpcompile_internalinsert_value)cgctxbuilder	signatureargslltuptytupZin_shape_r)   r(   Zdataidxdatand
shape_listtuptyr"   r#   codegen<   s   

z+_create_tuple_result_shape.<locals>.codegen)lenr   UniTupler/   )tyctxr<   shape_tuplefunction_sigr>   r"   r:   r#   _create_tuple_result_shape+   s
   
rD   c           	         s   t |tjs
td|j t| krd  }| d }g }|tjg| 7 }|tjg7 }|tjg| 7 }t||||} fdd}||fS )aH  
    Generates a tuple that can be used to index a specific slice from an
    array for sum with axis.  shape_tuple is the size of the dimensions of
    the input array.  'value' is the value to put in the indexing tuple
    in the axis dimension and 'axis' is that dimension.  For this to work,
    axis has to be a const.
    z axis argument must be a constantr   r%   c                    s   |  }t|}|\}}}dd }| ||t g }	td D ]	}
|||	|
}q"||| }t d D ]	}
|||	|
}q:|S )Nc                   S   s
   t d d S r&   )slicer"   r"   r"   r#   create_full_slice      
z<_gen_index_tuple.<locals>.codegen.<locals>.create_full_slicer   r%   )r+   r   r,   r0   r   slice2_typer-   r1   )r2   r3   r4   r5   r6   r7   r8   Z	value_argrF   Z
slice_datar(   Z
axis_valuer;   r=   r"   r#   r>   {   s   


z!_gen_index_tuple.<locals>.codegen)	
isinstancer   Literalr   literal_valuer?   rH   r/   Tuple)	rA   rB   valueaxisbeforeafterZ
types_listrC   r>   r"   rI   r#   _gen_index_tupleT   s    	
rR   z	array.sumc                    B   | d  fdd}| j||||t|j dd}t| ||j |S )Nr   c                    s$    }t | D ]}|| 7 }q|S r&   npnditeritem)arrcvzeror"   r#   array_sum_impl      z!array_sum.<locals>.array_sum_implrY   localsreturn_typer0   dictr   contextr3   sigr5   r]   resr"   r[   r#   	array_sum      

ri   c                 C      | S r&   r"   )rX   rZ   r"   r"   r#   _array_sum_axis_nop      rl   c                    s    fdd}|S )Nc                    s2  | j }s|dk s|dkrtd||krtdt| j}|| }|| t|| j}t|t}t	|D ]Y}rLt
| j| }|| | 7 }q:|dkr^t
| j|d}	|| |	 7 }q:|dkrpt
| j|d}
|| |
 7 }q:|dkrt
| j|d}|| | 7 }q:|dkrt
| j|d}|| | 7 }q:|dS )a(  
        function that performs sums over one specific axis

        The third parameter to gen_index_tuple that generates the indexing
        tuples has to be a const so we can't just pass "axis" through since
        that isn't const.  We can check for specific values and have
        different instances that do take consts.  Supporting axis summation
        only up to the fourth dimension for now.

        typing/arraydecl.py:sum_expand defines the return type for sum with
        axis. It is one dimension less than the input array.
        r      zHNumba does not support sum with axis parameter outside the range 0 to 3.zaxis is out of bounds for arrayr%      )ndim
ValueErrorlistshapepoprD   rU   fulltyper-   rR   )rX   rO   rp   ZashapeZaxis_lenZashape_without_axisresultZ
axis_indexZindex_tuple_genericZindex_tuple1Zindex_tuple2Zindex_tuple3Zindex_tuple4const_axis_valis_axis_constopr\   r"   r#   inner   s>   


z gen_sum_axis_impl.<locals>.innerr"   )rz   ry   r{   r\   r|   r"   rx   r#   gen_sum_axis_impl   s   =r}   c                    s  |j }t|d|d}t|dd d u rtj}nt}|j\}}}	d}
d}t|tjrb|j	}|dk r5|j
| }|dk s>||j
krBtd| j|}| ||}|d ||d f}|j|||	gd}d}
t|
|||}t|  fd	d
}| ||||}t| ||j |S )Ndtyper   rp   Fz'axis' entry is out of boundsro   r5   Tc                    
    | |S r&   r"   )rX   rO   r~   compiledr"   r#   array_sum_impl_axis  rG   z1array_sum_axis_dtype.<locals>.array_sum_impl_axis)rc   getattrrU   takerl   r5   rJ   r   rK   rL   rp   rq   typing_contextresolve_value_typer.   replacer}   r   r0   r   )rf   r3   rg   r5   rettyr\   r{   ty_arrayty_axisZty_dtyperz   ry   axis_valgen_implr   rh   r"   r   r#   array_sum_axis_dtype   s0   
r   c                    rS   )Nr   c                    s$    }t | D ]}|| 7 }q|S r&   rT   )rX   r~   rY   rZ   r[   r"   r#   r]   &  r^   z'array_sum_dtype.<locals>.array_sum_implr_   r`   rb   re   r"   r[   r#   array_sum_dtype!  rj   r   c                    s  |j }t|d|d}t|dd d u rtj}nt}|j\}}d}	d}
t|tjrc|j	}
|
dk r4|j
|
 }
|
dk s=|
|j
krGd|
 d}t|| j|
}| ||
}|d |f}|j||gd}d}	t|	|
||}t|  fd	d
}| ||||}t| ||j |S )Nr~   r   rp   Fz'axis' entry (z) is out of boundsr   Tc                    r   r&   r"   )rX   rO   r   r"   r#   r   V  rG   z+array_sum_axis.<locals>.array_sum_impl_axis)rc   r   rU   r   rl   r5   rJ   r   rK   rL   rp   r   r   r   r.   r   r}   r   r0   r   )rf   r3   rg   r5   r   r\   r{   r   r   rz   ry   msgr   r   r   rh   r"   r   r#   array_sum_axis1  s2   

r   c                 C   s.   | j tjkrt|| }|S |  |}|S r&   )rv   rU   Ztimedelta64int64view)r~   rN   acc_initr"   r"   r#   get_accumulator]  s
   
r   prodc                    s4   t | tjrt| j}t|d  fdd}|S d S )Nr%   c                    s$    }t | D ]}|| 9 }q|S r&   rT   r'   rY   rZ   r   r"   r#   array_prod_implm  r^   z#array_prod.<locals>.array_prod_impl)rJ   r   Arrayr   r~   r   )r'   r~   r   r"   r   r#   
array_prode  s   

r   cumsumc                    r   t | tjr7| jtjv }| jtjk}|r| jjtjjk s|r$ttjnt| jt	d  fdd}|S d S )Nr   c                    s:   t | j} }t| jD ]\}}||7 }|||< q|S r&   rU   emptysize	enumerateflatr'   outrY   idxrZ   r   r~   r"   r#   array_cumsum_impl     
z'array_cumsum.<locals>.array_cumsum_impl
rJ   r   r   r~   Zsigned_domainbool_bitwidthr/   r   r   )r'   
is_integeris_boolr   r"   r   r#   array_cumsumv     

r   cumprodc                    r   )Nr%   c                    s:   t | j} }t| jD ]\}}||9 }|||< q|S r&   r   r   r   r"   r#   array_cumprod_impl  r   z)array_cumprod.<locals>.array_cumprod_implr   )r'   r   r   r   r"   r   r#   array_cumprod  r   r   meanc                    s\   t | tjr,| jtjttjgB v }|rttj}nt| j}t	|d  fdd}|S d S )Nr   c                    s*    }t | D ]}|| 7 }q|| j S r&   )rU   rV   rW   r   r   r   r"   r#   array_mean_impl  s   
z#array_mean.<locals>.array_mean_impl)
rJ   r   r   r~   Zinteger_domain	frozensetr   r   float64r   )r'   Z	is_numberr~   r   r"   r   r#   
array_mean  s   

r   varc                 C      t | tjrdd }|S d S )Nc                 S   sJ   |   }d}t| D ]}| | }|t|t| 7 }q|| j S Nr   )r   rU   rV   rW   realconjr   )r'   mssdrZ   valr"   r"   r#   array_var_impl  s   
z!array_var.<locals>.array_var_implrJ   r   r   )r'   r   r"   r"   r#   	array_var  s   r   stdc                 C   r   )Nc                 S   s   |   d S N      ?)r   r'   r"   r"   r#   array_std_impl     z!array_std.<locals>.array_std_implr   )r'   r   r"   r"   r#   	array_std  s   r   c                 C      | |k S r&   r"   r'   Zmin_valr"   r"   r#   min_comparator     r   c                 C      | |kS r&   r"   r   r"   r"   r#   max_comparator  r   r   c                 C      dS NFr"   r   r"   r"   r#   return_false  rm   r   minc                       t | tjsd S t | jtjtjfrtjt n#t | jtj	r*t
dd }t| nt | jtjr7tjt nt
t  fdd}|S )Nc                 S   s0   | j |j k rdS | j |j kr| j|jk rdS dS NTFr   imagr   r"   r"   r#   	comp_func     znpy_min.<locals>.comp_funcc                    j   | j dkr	tdt| }t|d}|r|S |D ]}| }|r+|  S  ||r2|}q|S )Nr   zDzero-size array to reduction operation minimum which has no identityr   rq   rU   rV   nextr   rW   )r'   it	min_valuer   rZ   Z
comparatorZpre_return_funcr"   r#   impl_min     


znpy_min.<locals>.impl_min)rJ   r   r   r~   
NPDatetimeNPTimedeltarU   isnatr   Complexr   r   Floatisnan)r'   r   r   r"   r   r#   npy_min      
r   maxc                    r   )Nc                 S   s0   | j |j krdS | j |j kr| j|jkrdS dS r   r   )r'   Zmax_valr"   r"   r#   r   )  r   znpy_max.<locals>.comp_funcc                    r   )Nr   zDzero-size array to reduction operation maximum which has no identityr   )r'   r   	max_valuer   rZ   r   r"   r#   impl_max9  r   znpy_max.<locals>.impl_max)rJ   r   r   r~   r   r   rU   r   r   r   r   r   r   r   )r'   r   r   r"   r   r#   npy_max  r   r   c                 C   s   | j dkr	tdt| }t|d}d}t|r|S d}|D ]}| }t|r1|  S ||k r9|}|}|d7 }q"|S Nr   *attempt to get argmin of an empty sequencer%   r   rq   rU   rV   r   r   r   rW   )arryr   r   min_idxr   r   rZ   r"   r"   r#   array_argmin_impl_datetimeN  "   




r   c                 C   sr   | j dkr	td| jD ]}|}d} t|r|S d}| jD ]}t|r*|  S ||k r2|}|}|d7 }q|S r   r   rq   r   rU   r   r   rZ   r   r   r   r"   r"   r#   array_argmin_impl_floatd  "   





r   c                 C   s\   | j dkr	td| jD ]}|}d} ntdd}| jD ]}||k r'|}|}|d7 }q|S )Nr   r   Zunreachabler%   )r   rq   r   RuntimeErrorr   r"   r"   r#   array_argmin_impl_genericz  s   



r   argminc                    \   t | jtjtjfrt nt | jtjrt nt t	|r&d fdd	}|S t
| | }|S )Nc                        | S r&   r"   r'   rO   flatten_implr"   r#   array_argmin_impl  r*   z'array_argmin.<locals>.array_argmin_implr&   )rJ   r~   r   r   r   r   r   r   r   r   %build_argmax_or_argmin_with_axis_impl)r'   rO   r  r"   r   r#   array_argmin     r  c                 C   s   | j dkr	tdt| }t|d}d}t|r|S d}|D ]}| }t|r1|  S ||kr9|}|}|d7 }q"|S Nr   z*attempt to get argmax of an empty sequencer%   r   )r   r   r   max_idxr   r   rZ   r"   r"   r#   array_argmax_impl_datetime  r   r  c                 C   sr   | j dkr	td| jD ]}|}d} t|r|S d}| jD ]}t|r*|  S ||kr2|}|}|d7 }q|S r  r   r   rZ   r   r  r   r"   r"   r#   array_argmax_impl_float  r   r	  c                 C   sR   | j dkr	td| jD ]}|}d} d}| jD ]}||kr"|}|}|d7 }q|S r  )r   rq   r   r  r"   r"   r#   array_argmax_impl_generic  s   



r
  c                    s4   t |d tjtt| jd fdd	}|S )z|
    Given a function that implements the logic for handling a flattened
    array, return the implementation function.
    rO   Nc           	         s  |dk r	| j | }|dk s|| j krtd| j dkr | S }t|| j d D ]
}t|||d }q)t|| j d |}| |}|jd }| }|j| jksSJ |j| dks\J t	|j| }t|jD ]} ||| |d |  ||< qj|
|jd d S )Nr   zaxis is out of boundsr%   )rp   rq   r-   r   	transposers   ravelr   rU   r   reshape)	r'   rO   tmpr(   Ztranspose_indexZtransposed_arrr   Zraveledr   r   r   Ztuple_bufferr"   r#   impl  s&   



"z3build_argmax_or_argmin_with_axis_impl.<locals>.implr&   )r   r   r/   tupler-   rp   )r'   rO   r   r  r"   r  r#   r    s
   
r  argmaxc                    r   )Nc                    r   r&   r"   r   r   r"   r#   array_argmax_impl  r*   z'array_argmax.<locals>.array_argmax_implr&   )rJ   r~   r   r   r   r  r   r	  r
  r   r  )r'   rO   r  r"   r   r#   array_argmax  r  r  allc                 C      dd }|S )Nc                 S   s"   t | D ]	}| s dS qdS r    rT   r'   rZ   r"   r"   r#   flat_all#  
   znp_all.<locals>.flat_allr"   )r'   r  r"   r"   r#   np_all      r  h㈵>:0yE>Fc                 C   s   t | }t |}|s|s|r|sdS |r|r|sdS dS t | s(t |r,| |kS t | | ||t |d   kr@dS dS )NF      ?TrU   r   isinfabs)Za_vZb_vrtolatol	equal_nanZ	a_v_isnanZ	b_v_isnanr"   r"   r#   _allclose_scalars,  s"   

$r&  allclosec                 C   s   t | stdt |stdt|ttjfstdt|ttjfs(tdt|ttjfs4tdt| tj}t|tj}|rM|rM		dd	d
}|S |rZ|sZ		ddd}|S |sg|rg		ddd}	|	S |st|sv		ddd}
|
S d S d S )N)The first argument "a" must be array-like*The second argument "b" must be array-like2The third argument "rtol" must be a floating point3The fourth argument "atol" must be a floating point0The fifth argument "equal_nan" must be a booleanr  r  Fc                 S   s   t | ||||dS )Nr#  r$  r%  )r&  r'   br#  r$  r%  r"   r"   r#   np_allclose_impl_scalar_scalar`  s   
z3np_allclose.<locals>.np_allclose_impl_scalar_scalarc                 S   s:   t |}t |D ]}t| | |||ds dS q
dS Nr-  FTrU   asarrayrV   r&  rW   )r'   r/  r#  r$  r%  bvr"   r"   r#   np_allclose_impl_scalar_arrayf     
z2np_allclose.<locals>.np_allclose_impl_scalar_arrayc                 S   s:   t | } t | D ]}t| ||||ds dS q
dS r1  r2  )r'   r/  r#  r$  r%  avr"   r"   r#   np_allclose_impl_array_scalarp  r6  z2np_allclose.<locals>.np_allclose_impl_array_scalarc           	      S   s`   t | } t |}t | |\}}t ||fD ]\}}t| | |||ds- dS qdS r1  )rU   r3  Zbroadcast_arraysrV   r&  rW   )	r'   r/  r#  r$  r%  Za_aZb_br7  r4  r"   r"   r#   np_allclose_impl_array_arrayz  s   

z1np_allclose.<locals>.np_allclose_impl_array_arrayr  r  F)	r	   r   rJ   floatr   r   boolBooleanNumber)r'   r/  r#  r$  r%  Zis_a_scalarZis_b_scalarr0  r5  r8  r9  r"   r"   r#   np_allcloseF  sB   



r?  anyc                 C   r  )Nc                 S   s"   t | D ]	}| r dS qdS r   rT   r  r"   r"   r#   flat_any  r  znp_any.<locals>.flat_anyr"   )r'   rA  r"   r"   r#   np_any  r  rB  c                 C   sR   |d u s
t |tjrddd}|S |d u st |tjr"ddd}|S ddd}|S )Nc                 S   s   t | }t |S r&   )rU   r3  r   )r'   rO   weightsrX   r"   r"   r#   np_average_impl  s   

z#np_average.<locals>.np_average_implc                 S   sv   t | }t |}|j|jkr!|d u rtd|jdkr!tdt |}|dkr.tdt t ||| }|S )NzCNumba does not support average when shapes of a and weights differ.r%   z81D weights expected when shapes of a and weights differ.        z)Weights sum to zero, can't be normalized.)rU   r3  rs   	TypeErrorrp   sumZeroDivisionErrormultiply)r'   rO   rC  rX   ZsclZavgr"   r"   r#   rD    s$   



c                 S   s   t d)Nz)Numba does not support average with axis.)rF  )r'   rO   rC  r"   r"   r#   rD    r*   NN)rJ   r   NoneType)r'   rO   rC  rD  r"   r"   r#   
np_average  s   


rL  c                 C   s(   t | tjtjfrtjS tdd }|S )z$
    A generic isnan() function
    c                 S   r   r   r"   xr"   r"   r#   _trivial_isnan  rm   z!get_isnan.<locals>._trivial_isnan)rJ   r   r   r   rU   r   r   )r~   rO  r"   r"   r#   	get_isnan  s
   
rP  c                 C      t | rdd S d S )Nc                 S   s   t | jdkS r   rU   r3  r   rM  r"   r"   r#   <lambda>      znp_iscomplex.<locals>.<lambda>r	   rM  r"   r"   r#   np_iscomplex     rV  c                 C   rQ  )Nc                 S   s   t | jdkS r   rR  rM  r"   r"   r#   rS    rT  znp_isreal.<locals>.<lambda>rU  rM  r"   r"   r#   	np_isreal  rW  rX  c                    sX   t | }t| tjrt | j}t|tj t| tjr$ fdd}|S  fdd}|S )Nc                    s   | d u rdS  S r   r"   rM  Ziscmplxr"   r#   r    s   ziscomplexobj.<locals>.implc                        S r&   r"   rM  rY  r"   r#   r       )determine_dtyperJ   r   Optionalrv   rU   
issubdtypecomplexfloating)rN  dtr  r"   rY  r#   iscomplexobj  s   
ra  c                 C   r  )Nc                 S   s   t |  S r&   )rU   ra  rM  r"   r"   r#   r    r   zisrealobj.<locals>.implr"   rN  r  r"   r"   r#   	isrealobj  s   rc  c                    s   t |   fdd}|S )Nc                    rZ  r&   r"   )elementrh   r"   r#   r    r[  znp_isscalar.<locals>.impl)r
   )rd  r  r"   re  r#   np_isscalar  s   rf  c                    s,   t |rd fdd	}|S d fdd	}|S )Nc                    s   t t |  t | S r&   rU   logical_andr!  ZsignbitrN  r   fnr"   r#   r       zis_np_inf_impl.<locals>.implc                    s   t t |  t | |S r&   rg  ri  rj  r"   r#   r       r&   r   )rN  r   rk  r  r"   rj  r#   is_np_inf_impl  s
   ro  c                 C      t dd }t| ||S )Nc                 S   rk   r&   r"   rM  r"   r"   r#   rS        zisneginf.<locals>.<lambda>r   ro  rN  r   rk  r"   r"   r#   isneginf     rt  c                 C   rp  )Nc                 S   s   |  S r&   r"   rM  r"   r"   r#   rS    s    zisposinf.<locals>.<lambda>rr  rs  r"   r"   r#   isposinf  ru  rv  c                 C   r   r&   r"   r'   r/  r"   r"   r#   	less_than  r   rx  c                 C   r   r&   r"   rw  r"   r"   r#   greater_than  r   ry  c                 C   s   | j dkr	tdd S )Nr   z3zero-size array to reduction operation not possible)r   rq   r   r"   r"   r#   check_array"  s   
rz  c                    s$   |r
 fdd}|S  fdd}|S )Nc                    s   t | }t| t |}t|d}|D ].}| }t |jr,t |js,|}q |j|jr6|}q|j|jkrE |j	|j	rE|}q|S r   )
rU   r3  rz  rV   r   r   rW   r   r   r   r'   rX   r   
return_valr   rZ   comparison_opr"   r#   r  *  s   

z!nan_min_max_factory.<locals>.implc                    sX   t | }t| t |}t|d}|D ]}| }t |s) ||s)|}q|S r   )rU   r3  rz  rV   r   r   rW   r   r{  r}  r"   r#   r  ;  s   



r"   )r~  is_complex_dtyper  r"   r}  r#   nan_min_max_factory(  s
   r  )r  Tc                 C   sp   t | rt |r|S t | rt |r| dk|dkkS t | s(t |r*dS t| | ||t|  kS )Nr   Fr   )rN  yr#  r$  r%  r"   r"   r#   _isclose_itemX  s   r  c                 C   s   t | stdt |stdt|ttjfstdt|ttjfs(tdt|ttjfs4tdt| tjrGt|tj	rGdd	d
}|S t| tj	rZt|tjrZddd
}|S t| tjrmt|tjrmddd
}|S ddd
}|S )Nr(  r)  r*  r+  r,  r  r  Fc           	      S   sV   |  d}|}tt|tj}tt|D ]}t|| ||||||< q| | jS Nr  r  rU   zerosr?   r   r-   r  rs   	r'   r/  r#  r$  r%  rN  r  r   r(   r"   r"   r#   isclose_imply  s   
zisclose.<locals>.isclose_implc           	      S   sV   | }| d}tt|tj}tt|D ]}t||| |||||< q| |jS r  r  r  r"   r"   r#   r    s   
c                 S   s   t | j|j}t | |}t ||}t jt|t jd}tt ||fD ]\}	\}
}t	|

 |
 |||||	< q't ||S Nr~   )rU   broadcast_shapesrs   broadcast_tor  r?   r   r   rV   r  rW   )r'   r/  r#  r$  r%  rs   a_b_r   r(   r7  r4  r"   r"   r#   r    s   
c                 S   s   t | ||||S r&   )r  r.  r"   r"   r#   r       r:  )
r	   r   rJ   r;  r   r   r<  r=  r   r>  )r'   r/  r#  r$  r%  r  r"   r"   r#   isclosed  s*   
!


r  c                 C      t | }t|tjrtS tS r&   )r\  rU   r^  r_  complex_nanminreal_nanminr'   r`  r"   r"   r#   	np_nanmin     r  c                 C   r  r&   )r\  rU   r^  r_  complex_nanmaxreal_nanmaxr  r"   r"   r#   	np_nanmax  r  r  c                    *   t | tjsd S t| j  fdd}|S )Nc                    sH   d}d}t | D ]}| } |s|| 7 }|d7 }q	t ||S NrE  r   r%   )rU   rV   rW   divide)r'   rY   countr   rZ   r   r"   r#   nanmean_impl  s   z np_nanmean.<locals>.nanmean_implrJ   r   r   rP  r~   )r'   r  r"   r  r#   
np_nanmean  s
   
r  c                    r  )Nc                    sj   t | }d}d}t | D ] }| } |s.| | }|t |t | 7 }|d7 }qt ||S r  )rU   nanmeanrV   rW   r   r   r  )r'   r   r   r  r   rZ   r   r  r"   r#   nanvar_impl  s   
znp_nanvar.<locals>.nanvar_implr  )r'   r  r"   r  r#   	np_nanvar  
   
r  c                 C      t | tjsd S dd }|S )Nc                 S   s   t | d S r   )rU   nanvarr   r"   r"   r#   nanstd_impl     znp_nanstd.<locals>.nanstd_implr   )r'   r  r"   r"   r#   	np_nanstd  s   r  c                    P   t | tjsd S t | jtjrtj}n| j}|dt| j  fdd}|S )Nr   c                    s0   }t | D ]}| } |s||7 }q|S r&   rT   r'   rY   r   rZ   r   r\   r"   r#   nansum_impl     znp_nansum.<locals>.nansum_implrJ   r   r   r~   Integerr/   rP  )r'   r   r  r"   r  r#   	np_nansum     
r  c                    r  )Nr%   c                    s0   }t | D ]}| } |s||9 }q|S r&   rT   r  r   oner"   r#   nanprod_impl  r  z np_nanprod.<locals>.nanprod_implr  )r'   r   r  r"   r  r#   
np_nanprod  r  r  c                    sV   t | tjsd S t | jtjtjfrdd S | jt d fdd}|S )Nc                 S   
   t | S r&   )rU   r   r   r"   r"   r#   rS       
 znp_nancumprod.<locals>.<lambda>r%   c                    sD   t | j}}t| jD ]\}} | r||9 }|||< q|S r&   r   r   is_nanr  r   r"   r#   nancumprod_impl      

z&np_nancumprod.<locals>.nancumprod_implrJ   r   r   r~   r=  r  rP  )r'   r  r"   r  r#   np_nancumprod     	r  c                    sV   t | tjsd S t | jtjtjfrdd S | jt d fdd}|S )Nc                 S   r  r&   )rU   r   r   r"   r"   r#   rS  3  r  znp_nancumsum.<locals>.<lambda>r   c                    sD   t | j}}t| jD ]\}} | r||7 }|||< q|S r&   r   r   r  r   r\   r"   r#   nancumsum_impl9  r  z$np_nancumsum.<locals>.nancumsum_implr  )r'   r  r"   r  r#   np_nancumsum,  r  r  c                 C   s    t | }t|dkrtd|S )Nr   z&zero-size array reduction not possible)_asarrayr?   rq   r'   rX   r"   r"   r#   prepare_ptp_inputE  s   r  c                    s,   t |tjr fdd}|S  fdd}|S )Nc                    s4    |j | j r	|S |j | j kr |j| jr|S | S r&   r   current_valr   r{   r"   r#   r  U  s   z+_compute_current_val_impl_gen.<locals>.implc                    s    || r|S | S r&   r"   r  r  r"   r#   r  ]  s   )rJ   r   r   )r{   r  r   r  r"   r  r#   _compute_current_val_impl_genN  s
   
r  c                 C      d S r&   r"   r  r"   r"   r#   _compute_a_maxb  r[  r  c                 C   r  r&   r"   r  r"   r"   r#   _compute_a_minf  r[  r  c                 C      t tj| |S r&   )r  operatorgtr  r"   r"   r#   _compute_a_max_implj     r  c                 C   r  r&   )r  r  ltr  r"   r"   r#   _compute_a_min_implo  r  r  c                 C   r  r&   r"   r   r"   r"   r#   _early_returnt  r[  r  c                    sL   d t | tjr fdd}|S t | tjr fdd}|S  fdd}|S )Nr   c                    sB   t | jrt | jrdt jt jd  fS dt jd fS d fS )NT              ?y                F)rU   r   r   r   nanr  ZUNUSEDr"   r#   r  |  s
   z _early_return_impl.<locals>.implc                    s   t | r
dt jfS d fS r   )rU   r   r  r  r  r"   r#   r    s   

c                    s   d fS r   r"   r  r  r"   r#   r    r*   )rJ   r   r   r   )r   r  r"   r  r#   _early_return_implx  s   r  c                 C   s,   t | drt| jtjrtddd }|S )Nr~   +Boolean dtype is unsupported (as per NumPy)c           	      S   sj   t | }|j}|d }|d }t|jD ]}|| }t|\}}|r&|  S t||}t||}q|| S r   )r  r   r-   r   r  r  r  )	r'   rX   Za_flatZa_mina_maxr(   r   Ztake_branchretvalr"   r"   r#   np_ptp_impl  s   
znp_ptp.<locals>.np_ptp_impl)hasattrrJ   r~   r   r=  r   )r'   r  r"   r"   r#   np_ptp  s
   
r  )ro   r   ptpc                 C   $   t | rdS t |rdS | |k S r    )rU   r   rw  r"   r"   r#   nan_aware_less_than  s
   

r  c                    s   d fdd	}|S )Nc                    s2  || d? }| | | | r+| | | | | |< | |<  r+|| || ||< ||< | | | | rP| | | | | |< | |<  rP|| || ||< ||< | | | | ru| | | | | |< | |<  ru|| || ||< ||< | | }| | | | | |< | |<  r|| || ||< ||< |}|d }	 ||k r| | |r|d7 }||k r| | |s||krЈ|| | r|d8 }||krЈ|| | s||krn%| | | | | |< | |<  r|| || ||< ||< |d7 }|d8 }q| | | | | |< | |<  r|| || ||< ||< |S Nr%   r"   )AlowhighImidZpivotr(   jargpartition	pivotimplr"   r#   
_partition  sL   z&_partition_factory.<locals>._partitionr&   r"   )r  r  r  r"   r  r#   _partition_factory  s   -r  )r  c                    s   d fdd	}|S )Nc                    s\    | |||}||kr*||k r|d } | |||}n|d } | |||}||ks| | S )zJ
        Select the k'th smallest element in array[low:high + 1].
        r%   r"   )r   kr  r  r   r(   partitionimplr"   r#   _select  s   z _select_factory.<locals>._selectr&   r"   )r  r  r"   r  r#   _select_factory  s   r  c                 C   s   	 ||ksJ t | ||}||k r|d }n%||d kr!|d }n||kr1t| |d |d | nt| |||d  nq| | | |d  fS )z
    Select the k'th and k+1'th smallest elements in array[low:high + 1].

    This is significantly faster than doing two independent selections
    for k and k+1.
    Tr%   )r  r  )r   r  r  r  r(   r"   r"   r#   _select_two  s   

r  c                 C   sP   d}|d }|d? }|d@ dkr!t | |d ||\}}|| d S t| |||S )zt
    The main logic of the median() call.  *temp_arry* must be disposable,
    as this function will mutate it.
    r   r%   ro   )r  r  )	temp_arrynr  r  Zhalfr'   r/  r"   r"   r#   _median_inner&  s   r  c                 C   r  )Nc                 S   s   |   }|jd }t||S r   )flattenrs   r  )r'   r  r  r"   r"   r#   median_impl;  s   

znp_median.<locals>.median_implr   )r'   r  r"   r"   r#   	np_median6  s   r  c                 C   s  t | }|dkrtjt || d tjd}|S tjt |tjd}tt |D ]}|| }|dkrIt| }tt|  rHt| rHtj	}n|dkrt
| }tt|  rt| tjk}t| tj k}|||  }	|	dkrytj	}|dkr|dkrtj	}|dkrtj	}|	dkr|dkr|dkrtj	}n/d|d t|d  }
t|
}|
| }t| t|d d|d d\}}|d|  ||  }|||< q'|S )Nr%   r   r  d   ro         Y@)r  r  r  )r?   rU   ru   r   r   r-   r   r  isfiniter  r   rG  inftrue_dividemathfloorr  int)r'   qr  r   r(   
percentiler   Znum_pos_infZnum_neg_infZ
num_finiteZrankfr   lowerupperr"   r"   r#   _collect_percentiles_innerE  sJ   *


 
r  c                 C   sP   |r| |  } t | dkrdS nt|rdS t | dkr&| d }t|S dS )Nr   Fr%   T)r?   rU   r@  r  )r'   nan_maskskip_nanr   r"   r"   r#   _can_collect_percentilesz  s   


r  c                 C   s   d}| j dkr.| jdk r.t| jD ]}| | dk s&| | |ks&t| | r+d} |S q|S tt| sDt| dk sDt| |krFd}|S )NTr%   
   rE  F)rp   r   r-   rU   r   r@  )r  q_upper_boundvalidr(   r"   r"   r#   check_valid  s   &,r  c                 C      t | dds
tdd S )Nr  r  z)Percentiles must be in the range [0, 100]r  rq   r  r"   r"   r#   percentile_is_valid     r  c                 C   r  )Nr  r  z%Quantiles must be in the range [0, 1]r  r  r"   r"   r#   quantile_is_valid  r  r  c                 C   s|   t j|t jd }|| || }t j| t jd }t |}t|||r3||  }t||}|S t t|t j	}|S r  )
rU   r3  r   r  r   r  r  ru   r?   r  )r'   r  check_qfactorr
  r  r	  r   r"   r"   r#   _collect_percentiles  s   


r  c                    sr   t | }t|tjrtd fdd} fdd}t|tjtjfr*|S t|tj	r7|j
dkr7|S |S )z
    The underlying algorithm to find percentiles and quantiles
    is the same, hence we converge onto the same code paths
    in this inner function implementation
    zNot supported for complex dtypec                    s   t | | d S r   r  r'   r  r  r  r
  r"   r#   np_percentile_q_scalar_impl     z?_percentile_quantile_inner.<locals>.np_percentile_q_scalar_implc                    s   t | | S r&   r  r  r  r"   r#   np_percentile_impl  r  z6_percentile_quantile_inner.<locals>.np_percentile_implr   )r\  rU   r^  r_  r   rJ   r   r>  r=  r   rp   )r'   r  r
  r  r  r`  r  r  r"   r  r#   _percentile_quantile_inner  s   r   c                 C      t | |ddtdS )NFr  r
  r  r  r   r  r  r"   r"   r#   np_percentile     
r$  c                 C   r!  )NTr  r"  r#  r  r"   r"   r#   np_nanpercentile  r%  r&  c                 C   r!  )NFr  r"  r   r  r  r"   r"   r#   np_quantile  r%  r(  c                 C   r!  )NTr  r"  r'  r  r"   r"   r#   np_nanquantile  r%  r)  c                    r  )Nc                    s\   t | j| j}d}t | D ]}| } |s!|||< |d7 }q|dkr)t jS t||S Nr   r%   )rU   r   r   r~   rV   rW   r  r  )r'   r  r  r   rZ   r  r"   r#   nanmedian_impl  s   
z$np_nanmedian.<locals>.nanmedian_implr  )r'   r+  r"   r  r#   np_nanmedian  r  r,  c           	      C   sl   t | }t | jd d }|D ]"}| |  }d}t|d }|D ]}t|||| |}q#|||< q|S )Nr  r   r%   )rU   
empty_likendindexrs   copyr?   _select_w_nan)	r'   	kth_arrayr   r   sr   r  r  kthr"   r"   r#   np_partition_impl_inner	  s   

r4  c           
      C   s   t j| t jd}t | jd d }|D ]*}| |  }t t|}d}t|d }|D ]}	t||	||| |	}q-|||< q|S )Nr  r  r   r%   )	rU   r-  r/   r.  rs   r/  aranger?   _arg_select_w_nan)
r'   r1  r   r   r2  r   Zidx_arryr  r  r3  r"   r"   r#   np_argpartition_impl_inner  s   
r7  c                 C   s   t |tj}|jdkrtdtt|| jd kr"tdt	|}t
|D ]\}}|dk r>|| jd  ||< q,|||< q,t|S )a  
    Returns a sorted, unique array of kth values which serve
    as indexers for partitioning the input array, a.

    If the absolute value of any of the provided values
    is greater than a.shape[-1] an exception is raised since
    we are partitioning along the last axis (per Numpy default
    behaviour).

    Values less than 0 are transformed to equivalent positive
    index values.
    r%   zkth must be scalar or 1-Dr  zkth out of boundsr   )r  astyperU   r   rp   rq   r@  r"  rs   r-  ndenumerateunique)r'   r3  r1  r   indexr   r"   r"   r#   
valid_kths4  s   



r<  c                 C   r   t | tjtjtjfstdt | tjr | jdkr d}t|t|d|}t |tjtj	fs3tddd }|S )N(The first argument must be an array-liker   3The first argument must be at least 1-D (found 0-D)r~   Partition index must be integerc                 S   s.   t | }|jdkr| S t||}t||S r   )r  r   r/  r<  r4  r'   r3  Za_tmpr1  r"   r"   r#   np_partition_implf  s
   


z'np_partition.<locals>.np_partition_impl
rJ   r   r   SequencerM   r   rp   r   r=  r  )r'   r3  r   kthdtrB  r"   r"   r#   np_partitionW     rF  c                 C   r=  )Nr>  r   r?  r~   r@  c                 S   s4   t | }|jdkr| dS t||}t||S )Nr   r/   )r  r   r/  r8  r<  r7  rA  r"   r"   r#   np_argpartition_impl  s
   


z-np_argpartition.<locals>.np_argpartition_implrC  )r'   r3  r   rE  rH  r"   r"   r#   np_argpartitionq  rG  rI  c                 C   sv   t d| t d|f}tj|tjd}t|d D ] }tt d|| d |d }d||d |f< d|||d f< q|S )Nr   r  r%   )r   rU   r   r   r-   r   )NMr  rs   r   r(   Zm_maxr"   r"   r#   	_tri_impl  s   rL  c                 C   s   t |d ddd}|S )Nr  r   c                 S   s   |d u r| }t | ||S r&   )rL  )rJ  rK  r  r"   r"   r#   tri_impl  s   znp_tri.<locals>.tri_implr   )r   )rJ  rK  r  rM  r"   r"   r#   np_tri  s   

rN  c                 C   sD   | j dksJ t| }tj||f| jd}t|D ]}| ||< q|S )zq
    Takes a 1d array and tiles it to form a square matrix
    - i.e. a facsimile of np.tile(m, (len(m), 1))
    r%   r  )rp   r?   rU   r   r~   r-   )r   Zlen_mr   r(   r"   r"   r#   _make_square  s   
rO  c                 C   s>   t j| jd | jd |dt j}t || t j| | jdS Nr  rK  r  r  rU   trirs   r8  uintwhere
zeros_liker~   r   r  maskr"   r"   r#   np_tril_impl_2d  s   $rZ  c                 C   >   t |d d	dd}d	dd}| jdkr|S | jdkrtS |S )
Nr  r   c                 S      t | }t||S r&   )rO  rZ  r   r  Zm_2dr"   r"   r#   np_tril_impl_1d     
z my_tril.<locals>.np_tril_impl_1dc                 S   sv   t j| jd | jd |dt j}t | jd d }t | }t j|| jd}|D ]}t 	|| | |||< q+|S rP  
rU   rT  rs   r8  rU  r.  r-  rW  r~   rV  r   r  rY  r   zZzero_optselr"   r"   r#   np_tril_impl_multi  s   $
z#my_tril.<locals>.np_tril_impl_multir%   ro   r   )r   rp   rZ  )r   r  r^  rd  r"   r"   r#   my_tril  s   



	
rf  c                 C   4   t | d t |d t|st |d ddd}|S )Nr  r  r   r   c                 S   s   t t j| ||dS )Nr  rU   nonzerorT  r  r  r   r"   r"   r#   np_tril_indices_impl  s   z-np_tril_indices.<locals>.np_tril_indices_implr   Nr   r   )r  r  r   rl  r"   r"   r#   np_tril_indices     



ro  c                 C   *   t |d | jdkrtdddd}|S )Nr  ro   input array must be 2-dr   c                 S      t j| jd || jd dS Nr   r%   )r  r   )rU   tril_indicesrs   rX   r  r"   r"   r#   np_tril_indices_from_impl  rl  z7np_tril_indices_from.<locals>.np_tril_indices_from_implre  r   rp   r   )rX   r  rw  r"   r"   r#   np_tril_indices_from  
   


ry  c                 C   sB   t j| jd | jd |d dt j}t |t j| | jd| S NrQ  r  r%   rR  r  rS  rX  r"   r"   r#   np_triu_impl_2d  s   (r|  c                 C   r[  )
Nr  r   c                 S   r\  r&   )rO  r|  r]  r"   r"   r#   np_triu_impl_1d  r_  z my_triu.<locals>.np_triu_impl_1dc                 S   sz   t j| jd | jd |d dt j}t | jd d }t | }t j|| jd}|D ]}t 	||| | ||< q-|S r{  r`  ra  r"   r"   r#   np_triu_impl_multi  s   (
z#my_triu.<locals>.np_triu_impl_multir%   ro   re  )r   rp   r|  )r   r  r}  r~  r"   r"   r#   my_triu  s   



	
r  c                 C   rg  )Nr  r  r   r   c                 S   s   t dt j| ||d d S )Nr%   rh  ri  rk  r"   r"   r#   np_triu_indices_impl   rm  z-np_triu_indices.<locals>.np_triu_indices_implrm  rn  )r  r  r   r  r"   r"   r#   np_triu_indices  rp  r  c                 C   rq  )Nr  ro   rr  r   c                 S   rs  rt  )rU   triu_indicesrs   rv  r"   r"   r#   np_triu_indices_from_impl.  rl  z7np_triu_indices_from.<locals>.np_triu_indices_from_implre  rx  )rX   r  r  r"   r"   r#   np_triu_indices_from%  rz  r  c                 C   r  r&   r"   rX   r"   r"   r#   _prepare_array3  r[  r  c                 C   s   | d t jfv rdd S dd S )Nc                 S   s
   t dS )Nr"   rU   arrayr  r"   r"   r#   rS  :  r  z%_prepare_array_impl.<locals>.<lambda>c                 S   s   t |  S r&   )r  r  r  r"   r"   r#   rS  <  s    r   noner  r"   r"   r#   _prepare_array_impl7  s   r  c                 C   s~   | }	 t |tjtjfrt|S t|dd }|d ur"| dkr"tjS t|dd }|d u r0tdt |tj	r:|j
}nt|S q)NT__len__r   r~   ztype has no dtype attr)rJ   r   r>  r=  r   r   rU   r   r   rD  r~   )Zinobjobjlr`  r"   r"   r#   _dtype_of_compound?  s   r  c                 C   s   t | tjrt | jtjrtdt| }d }t|st|}d }t|s)t|}|d ur9t	||s9d}t||d urIt	||sId}t|ddd}|S )Nr  z3dtype of to_begin must be compatible with input aryz1dtype of to_end must be compatible with input aryc           
      S   s   t |}t | }t |}|j}t|dkrMtjt|t| t| d |d}t|}t|t| d }	||d |< t||||	< |||	d < |S tjt|t| |d}t|}||d |< |||d < |S )Nr   r%   r  )r  r~   r?   rU   r   diff)
aryto_endto_beginstartr  end	out_dtyper   Z	start_idxmid_idxr"   r"   r#   np_ediff1d_implj  s&   z#np_ediff1d.<locals>.np_ediff1d_implrJ  )
rJ   r   r   r~   r=  r   r  r   rU   Zcan_cast)r  r  r  Zary_dtZto_begin_dtZ	to_end_dtr   r  r"   r"   r#   
np_ediff1dP  s$   
r  c                 C   r  r&   r"   r  r"   r"   r#   _select_element  r[  r  c                 C   s,   t | dd dk}|rdd }|S dd }|S )Nrp   r   c                 S   s$   t jd| jd}| |d d < |d S )Nr%   r  r   )rU   r  r~   )rX   rN  r"   r"   r#   r    s   z"_select_element_impl.<locals>.implc                 S   rk   r&   r"   r  r"   r"   r#   r    r[  r   )rX   Zzerodr  r"   r"   r#   _select_element_impl  s   r  c                 C   r  r&   r"   )dxrN  r"   r"   r#   _get_d  r[  r  c                 C   s    t | r
dd }|S dd }|S )Nc                 S   s
   t |S r&   rU   r3  rN  r  r"   r"   r#   r    rG   zget_d_impl.<locals>.implc                 S   s   t t | S r&   )rU   r  r3  r  r"   r"   r#   r    r  rn  )rN  r  r  r"   r"   r#   
get_d_impl  s
   r  r  c                 C   sF   t | tjtjfrtdt | tjr| jdkrtdddd}|S )Nzy cannot be a scalarr   zy cannot be 0Dr  c                 S   sX   t | }t||}|dtdd f |dtd df  d }t || d}t|}|S )N.r%   r         @)rU   r3  r  rE   rG  r  )r  rN  r  ZyarrdZy_averet	processedr"   r"   r#   r    s   

(znp_trapz.<locals>.implNr  )rJ   r   r>  r=  r   r   rp   )r  rN  r  r  r"   r"   r#   np_trapz  s   
r  c                 C   s   |j \}}|t| ksJ ||ksJ |r?t|D ]#}|dkr(d|dd|f< qt| |dd|d f |dd|f< qdS t|d ddD ]%}||d krXd|dd|f< qGt| |dd|d f |dd|f< qGdS )a*  
    Generate an N-column Vandermonde matrix from a supplied 1-dimensional
    array, x. Store results in an output matrix, out, which is assumed to
    be of the required dtype.

    Values are accumulated using np.multiply to match the floating point
    precision behaviour of numpy.vander.
    r   r%   Nr  )rs   r?   r-   rU   rI  )rN  rJ  
increasingr   r   r  r(   r"   r"   r#   
_np_vander  s   

**r  c                 C   s&   | j dkr	td|dk rtdd S )Nr%   z.x must be a one-dimensional array or sequence.r   z#Negative dimensions are not allowed)rp   rq   )rN  rJ  r"   r"   r#   _check_vander_params  s
   
r  c                    sz   |d t jfvrt|t jstdd fdd	}ddd}t| t jr0t| j}t	|t
 |S t| t jt jfr;|S d S )Nz,Second argument N must be None or an integerFc                    sF   |d u rt | }t| | tjt | t|f d}t| ||| |S r  )r?   r  rU   r   r  r  )rN  rJ  r  r   r  r"   r#   np_vander_impl  s   
z!np_vander.<locals>.np_vander_implc                 S   sR   |d u rt | }t| }t|| tjt | t|f|jd}t|||| |S r  )r?   rU   r  r  r   r  r~   r  )rN  rJ  r  x_arrr   r"   r"   r#   np_vander_seq_impl  s   

z%np_vander.<locals>.np_vander_seq_implr   )r   r  rJ   r  r   r   r   r~   rU   promote_typesr  rM   rD  )rN  rJ  r  r  r  x_dtr"   r  r#   	np_vander  s   

r  c                 C   s@   t |tjtjfstddd }t | tjtjfrdd S |S )Nzshift must be an integerc                 S   sR   t | }t j|j|jd}|j}t|jD ]}|| |j }|| |j|< q|S r  )rU   r3  r   rs   r~   r   r-   r   )r'   shiftrX   r   Zarr_flatr(   r   r"   r"   r#   np_roll_impl	  s   
znp_roll.<locals>.np_roll_implc                 S   r  r&   r  )r'   r  r"   r"   r#   rS  #	  r  znp_roll.<locals>.<lambda>)rJ   r   r  r=  r   r>  )r'   r  r  r"   r"   r#   np_roll	  s   r     c                 C   s|  d}|}| ||d  kr|S | |d k rdS |dkr8d}||k r4| || kr4|d7 }||k r4| || ks&|d S ||d krB|d }|dk rHd}| || k ro| ||d  k rk|d }|t krj| ||t   krj|t  }n2|d S | ||d  k ry|S | ||d  k r|d S |d }||t  d k r| ||t   k r|t  }||k r||| d?  }| || kr|d }n|}||k s|d S )Nr   r%   r     rn   ro   )LIKELY_IN_CACHE_SIZE)keyrX   lengthguessZiminZimaxr(   Zimidr"   r"   r#   binary_search_with_guess.	  sN   
r  c                 C   s  t | }t |}t |}t|dkrtdt|t|kr%td|jdkr5t j|j|d |dS t j|j|d}|j}t|}	|d }
||	d  }|	dkr|d }|d }t|D ] }|j	| }||k ro|
|j	|< q^||kry||j	|< q^||j	|< q^|S d}|	|krt j|	d |d}nt jd|d}|jrt|	d D ]2}d||d  ||   }||d  j
|| j
 | }||d  j|| j | }|d|  ||< qt|D ]}|j	| }t |r|}d}|d|  |j	|< qt|||	|}|d	kr|
|j	|< q||	kr||j	|< q||	d kr|| |j	|< q|| |kr.|| |j	|< q|jr7|| }n.d||d  ||   }||d  j
|| j
 | }||d  j|| j | }|d|  }|j
|||   || j
 }t |r|j
|||d    ||d  j
 }t |r|| j
||d  j
kr|| j
}|j|||   || j }t |r|j|||d    ||d  j }t |r|| j||d  jkr|| j}|d|  |j	|< q|S )
Nr   array of sample points is empty#fp and xp are not of the same size.r%   Z
fill_valuer~   r  r  rE  r  )rU   r3  r?   rq   r   ru   rs   r   r-   r   r   r   r   r  )rN  xpfpr~   dzr  dydreslenxlenxplvalrvalxp_valfp_valr(   x_valr  slopesZinv_dxr   r   sloper"   r"   r#   np_interp_impl_complex_inners	  s   




D




	$&
$&
r  c                 C   s  t j| t jd}t j|t jd}t j|t jd}t|dkr"tdt|t|kr.td|jdkr>t j|j|d |dS t j|j|d}|j}t|}	|d }
||	d  }|	dkr|d }|d }t	|D ] }|j
| }||k rx|
|j
|< qg||kr||j
|< qg||j
|< qg|S d}|	|kr|dd  |d d  |dd  |d d   }nt jd|d}t	|D ]}|j
| }t |r||j
|< qt|||	|}|dkr|
|j
|< q||	kr||j
|< q||	d kr|| |j
|< q|| |kr|| |j
|< q|jr|| }n||d  ||  ||d  ||   }||||   ||  |j
|< t |j
| r`||||d    ||d   |j
|< t |j
| r`|| ||d  kr`|| |j
|< q|S )Nr  r   r  r  r%   r  r  )rU   r3  r   r?   rq   r   ru   rs   r   r-   r   r   r  )rN  r  r  r~   r  r  r  r  r  r  r  r  r  r  r(   r  r  r  r  r"   r"   r#   np_interp_impl_inner	  sj   

02



(&(r  c                    s   t |dr|jdkrtdt |dr|jdkrtdd}t|}t|tjr-t|t|}t|tj t tjrBt	nt
 fdd} fdd	}t| tjrdt| tjrbt||S |S )
Nrp   r%   zxp must be 1Dzfp must be 1Dz:Cannot cast array data from complex dtype to float64 dtypec                    s   | || S r&   r"   rN  r  r  r~   r|   r"   r#   np_interp_implU
  r  z!np_interp.<locals>.np_interp_implc                    s   | || j d S r   r   r  r  r"   r#   np_interp_scalar_implX
  r  z(np_interp.<locals>.np_interp_scalar_impl)r  rp   r   r\  rU   r^  r_  result_typer   r  r  rJ   r   r>  r   )rN  r  r  Zcomplex_dtype_msgZxp_dtZfp_dtr  r  r"   r  r#   	np_interp:
  s*   r  c                 C   s`   | j dksJ | j\}}tj|df| jd}t|D ]}t| |d d f | ||df< q|S )Nro   r%   r  r   )rp   rs   rU   r   r~   r-   rG  )r'   r   r  r   r(   r"   r"   r#   row_wise_averagef
  s   
$r  c                 C   sb   |d u r|r	d}nd}| j d | }t|d}| t| 8 } t| t| j}|td|9 }|S )Nr   r%   rE  )rs   r   r  rU   dotr   Tr  )XbiasddofZfactrY   r"   r"   r#   np_cov_impl_inners
  s   
r  c                   C   r  r&   r"   r"   r"   r"   r#   _prepare_cov_input_inner
  r[  r  c                 C   s&   |d t jfv rdd }|S dd }|S )Nc                 S   s   t t| }|s|j}|S r&   )rU   
atleast_2dr  r  )r   r  rowvarr~   m_arrr"   r"   r#   r  
  s   z9_prepare_cov_input_impl.<locals>._prepare_cov_input_innerc                 S   s   t t| }t t|}|s$|jd dkr|j}|jd dkr$|j}|j\}}|j\}}	||	kr6tdt j|| |f|d}
||
d |d d f< ||
| d d d f< |
S )Nr   r%   z$m and y have incompatible dimensionsr  )rU   r  r  rs   r  rq   r   )r   r  r  r~   r  y_arrZm_rowsZm_colsZy_rowsZy_colsr   r"   r"   r#   r  
  s   

r  )r   r  r  r~   r  r"   r"   r#   _prepare_cov_input_impl
  s
   "r  c                 C   s,   | j dkr| jd dkrd}t|d S d S )Nro   r   r%   z2D array containing a single row is unsupported due to ambiguity in type inference. To use numpy.cov in this case simply pass the row as a 1D array, i.e. m[0].)rp   rs   r   )r   r   r"   r"   r#   _handle_m_dim_change
  s   r  c                 C   rk   r&   r"   rM  r"   r"   r#   rS  
  rq  rS  c                    s   t j}t| tjrt| j}|S t| tjtjfrt| }|S t| tj	tj
frbt  | D ]}t|dr> fdd|D  q- | q-t dkrVt jdd  D  }|S t dkrbt  }|S )Nr  c                    s   g | ]}  |qS r"   )add).0rZ   Zcoltypesr"   r#   
<listcomp>
      z#determine_dtype.<locals>.<listcomp>r%   c                 S      g | ]}t |qS r"   )r   )r  tyr"   r"   r#   r  
      )rU   r   rJ   r   r   r   r~   r>  r=  r@   rM   setr  r  r?   r  rt   )
array_likeZarray_like_dtr   r"   r  r#   r\  
  s&   

r\  c                 C   s|   t | tjr| jdkrtd|d S t | tjr8t | jd tjr:t | jd jd tjr<d|}t|d S d S d S )Nro   z{0} has more than 2 dimensionsr   )rJ   r   r   rp   r   formatrD  r  )r  namer   r"   r"   r#   check_dimensions
  s   

r  c                 C   s.   t | s	td| t|  dkrtdd S )Nz)Cannot convert non-finite ddof to integerr   zddof must be integral value)rU   r  rq   r  )r  r"   r"   r#   _handle_ddof
  s
   
r  c                 C   rk   r&   r"   rM  r"   r"   r#   rS  
  rq  c                 C   s   ||  || t | |||S r&   )r  )r   r  r  r~   r  _DDOF_HANDLER_M_DIM_HANDLERr"   r"   r#   _prepare_cov_input
  s   r  c                 C   s   |d t jfv }t| t jr| jdkr|S t| t jr8tdd | j D r&|S t| j dkr8t| j d t jr8|S t| t jt j	frC|S t| t j
rVt| jd t j
sV|rVdS dS )Nr%   c                 s   s"    | ]}t |tjtjfV  qd S r&   )rJ   r   r>  r=  r  rN  r"   r"   r#   	<genexpr>
  s    z)scalar_result_expected.<locals>.<genexpr>r   TF)r   r  rJ   r   rp   Z	BaseTupler  r?   r>  r=  rD  r  )Zmandatory_inputZoptional_inputZopt_is_noner"   r"   r#   scalar_result_expected
  s(   r  c                 C   s   t t | dkt | | S r  )rU   rV  fabssignrM  r"   r"   r#   
_clip_corr  s   r  c                 C   s    t | j}t | j}|d|  S )Nr  )r  r   r   )rN  r   r   r"   r"   r#   _clip_complex  s   

r  c           	         s   t | d t |d |d tjfv rt nt|tjtjfr t nt|tjr)t nt	dt
t| tjr7tt| }t|}t||tjd
 fdd	}		 d
 fdd		}t| |rb|S |S )Nr   r  z)ddof must be a real numerical scalar typeTFc                    s^   t | ||| }tt|jdkr)tj|jd |jd ftjdS t|||S )Nr   r  )	r  r8  rU   r@  r  rs   ru   r  r  )r   r  r  r  r  r  r  r  r~   r"   r#   np_cov_impl<  s   znp_cov.<locals>.np_cov_implc                    sT   t | ||| }tt|jdkrtj}n	t|||jd }t|S r   )	r  r8  rU   r@  r  rs   r  r  r   )r   r  r  r  r  r  Zvariancer  r"   r#   np_cov_impl_single_variableF  s   
z+np_cov.<locals>.np_cov_impl_single_variableNTFN)r  r   r  _handle_ddof_noprJ   r  r=  r   r  r   _handle_m_dim_nopr   r  r\  rU   r  r   r  )	r   r  r  r  r  Zm_dty_dtr  r  r"   r  r#   np_cov  s,   



r  c                    s^   t | }t |}t||tj}|tjkrt nt d fdd	}ddd}t| |r-|S |S )NTc                    sp   t | ||}t |}t |j}t|jd D ]}||d d f  |  < |d d |f  |  < q |S r   )rU   covZdiagsqrtr   r-   rs   )rN  r  r  rY   r  Zstddevr(   Zclip_fnr"   r#   np_corrcoef_impld  s   
z%np_corrcoef.<locals>.np_corrcoef_implc                 S   s   t | ||}|| S r&   )rU   r  )rN  r  r  rY   r"   r"   r#    np_corrcoef_impl_single_variableo  s   z5np_corrcoef.<locals>.np_corrcoef_impl_single_variableNT)r\  rU   r  r   Z
complex128r  r  r  )rN  r  r  r  r  r~   r  r  r"   r  r#   np_corrcoefX  s   


r
  c                    sD   t | tjtjf}t| r|sdd }|S d d fdd}|S )Nc                 S   s:   t | }|jdkrt jdtjdS t t t |S )Nr"   )r   r%   r  )	rU   r3  rs   r  r   r/   r  Zvstackrj  r  r"   r"   r#   r    s   

znp_argwhere.<locals>.impl)r   r   )r%   r   c                    s0   | d urt | rtjtjdS tj tjdS r  )r<  rU   r  r   r/   r   ZfalseishZtrueishr"   r#   r    s   )rJ   r   r>  r=  r	   )r'   Z
use_scalarr  r"   r  r#   np_argwhere}  s   r  c                 C   s    t | r
dd }|S dd }|S )Nc                 S   s   t | }t t |d S r   )rU   r3  rj  r  r  r"   r"   r#   r    s   
znp_flatnonzero.<locals>.implc                 S   s:   | d urt | rdg}n	dd tdD }tj|tjdS )Nr   c                 S   s   g | ]}|qS r"   r"   r  r"   r"   r#   r    rT  z0np_flatnonzero.<locals>.impl.<locals>.<listcomp>r  )r<  r-   rU   r  r   r/   )r'   r9   r"   r"   r#   r    s   rU  )r'   r  r"   r"   r#   np_flatnonzero  s
   r  c                 C   s   | j dkr(| jd }| jd }d| }|r|| }||fS |t|| }||fS t| j}tt|dks<tddt|d d 	  }|
 }||fS )Nro   r   r%   z/All dimensions of input must be of equal lengthr  )rp   rs   r   rU   r  r  r  rq   r   rG  r   )r'   wrapr   r  stepr  rs   r"   r"   r#   _fill_diagonal_params  s   



r  c                 C   s.   t | |\}}td||D ]}|| j|< qd S r   )r  r-   r   )r'   r   r  r  r  r(   r"   r"   r#   _fill_diagonal_scalar  s   r  c                 C   sN   t | |\}}d}t|}td||D ]}|| | j|< |d7 }|| }qd S r*  )r  r?   r-   r   )r'   r   r  r  r  ZctrZv_lenr(   r"   r"   r#   _fill_diagonal  s   
r  c                 C   sR   t | j}|j}|j}t t | s#t ||k s#t ||kr'tdd S Nz'Unable to safely conform val to a.dtype)rU   iinfor~   r   r   r@  r  rq   )r'   r   r  v_minv_maxr"   r"   r#   _check_val_int  s   .r  c                 C   sN   t | j}|j}|j}|t | }t ||k s!t ||kr%tdd S r  )rU   finfor~   r   r   r  r@  rq   )r'   r   r  r  r  Zfinite_valsr"   r"   r#   _check_val_float  s   r  c                 C   rk   r&   r"   rN  r  r"   r"   r#   rS    rq  c                 C   r  r&   r"   rM  r"   r"   r#   r    r[  r  c                    sX   t | tjr
dd S t | tjtjfrdd S t | tjtjfr*t|   fddS d S )Nc                 S   rk   r&   r"   rM  r"   r"   r#   rS    rq  z_asarray_impl.<locals>.<lambda>c                 S   r  r&   r  rM  r"   r"   r#   rS    r  c                    s   t j| g dS r  r  rM  r  r"   r#   rS    rT  )rJ   r   r   rD  rM   r>  r=  r   rM  r"   r  r#   _asarray_impl  s   r  c                    s   | j dkrEt| jtjrt nt| jtjrt nt d fdd	}d fdd	}t|tjtjtj	fr6|S t|tj
tjtjfrC|S d S d| j  }t|)	Nr%   Fc                    s&   t | } | | t| || d S r&   )r  r  r  r'   r   r  tmpvalcheckerr"   r#   scalar_impl
     
z%np_fill_diagonal.<locals>.scalar_implc                    s&   t | } | | t| || d S r&   )r  r  r  r  r  r"   r#   non_scalar_impl  r"  z)np_fill_diagonal.<locals>.non_scalar_implz4The first argument must be at least 2-D (found %s-D)F)rp   rJ   r~   r   r  r  r   r  
_check_nopr=  rM   rD  r   r   )r'   r   r  r!  r#  r   r"   r  r#   np_fill_diagonal  s   

r&  c                 C   s   d| j f S )Nzllvm.rint.f%d)r   )tpr"   r"   r#   _np_round_intrinsic     r(  c                 C   s   ||}dd }||fS )Nc                 S   s`   |\}|j d }| |}|j}tj||g}t||t|}	|	|	|f}
t
| ||j|
S r   )r5   r+   modulellvmliteZirFunctionTyper   Zget_or_insert_functionr(  callr   rc   )rf   r3   rg   r5   r   r'  Zlltyr*  Zfntyrk  rh   r"   r"   r#   r>   &  s   

z _np_round_float.<locals>.codegenr"   )Z	typingctxr   rg   r>   r"   r"   r#   _np_round_float"  s   r.  c                 C   s   t | s
t | r| S |dkr8|dkrd|d  }d}nd| }d}| | | }t |r0| S t|| | S d|  }| | }t|| S )Nr      g      $@gMDr  )r   r!  r   r.  )rN  ndigitsZpow1Zpow2r  r"   r"   r#   round_ndigits4  s   

r1  c                 C   s   t | stdt|tjst|sd}t|t| tjtjtjfrWt|rPt| tjr4ddd}|S t| tjrAddd}|S t| tjrNddd}|S d S ddd}|S t| tjrot|rhdd	d}|S dd
d}|S d S )Nz#The argument "a" must be array-likez5The argument "out" must be an array if it is providedr   c                 S   s   |dkrt | S t| |S r   )r.  r1  r'   decimalsr   r"   r"   r#   r  \  s   
zimpl_np_round.<locals>.implc                 S   s   |dkr| S t t| |S r   )r  r1  r2  r"   r"   r#   r  c  s   c                 S   s@   |dkrt | j}t | j}nt| j|}t| j|}t||S r   )r.  r   r   r1  complex)r'   r3  r   r   r   r"   r"   r#   r  j  s   

c                 S   s   t | ||d< |S r   )rU   roundr2  r"   r"   r#   r  t  s   c                 S   s   t | }t | ||S r&   )rU   r-  r5  r2  r"   r"   r#   r  z     
c                 S   s<   | j |j kr
tdt| D ]\}}t||||< q|S )Nzinvalid output shape)rs   rq   rU   r9  r5  )r'   r3  r   r;  r   r"   r"   r#   r    s
   rm  )	r	   r   rJ   r   r   r   r   r  r   )r'   r3  r   r   r  r"   r"   r#   impl_np_roundO  s4   





r7  c                 C   s8   t | tjrdd }|S t | tjrdd }|S td)Nc                 S   s$   | dkrd} | t j9 } t | |  S )NrE  g#B;)rU   pisinrM  r"   r"   r#   r    s   
zimpl_np_sinc.<locals>.implc                 S   s0   t | }t | D ]\}}t |||< q
|S r&   )rU   rW  r9  sinc)rN  r   r;  r   r"   r"   r#   r    s   
z,Argument "x" must be a Number or array-like.)rJ   r   r>  r   r   rb  r"   r"   r#   impl_np_sinc  s   r;  c                    s   t dtj  t| tjrd fdd	}|S t| tjr=| j}t|tjr)|j	nt|tj
r2|nd S dfdd	}|S td|  )N   Fc                    s(   |rt | j| j  S t | j| jS r&   )rU   Zarctan2r   r   )rb  deg)deg_multr"   r#   r    s   zov_np_angle.<locals>.implc                    s6   t j|  d}t | D ]\}}t ||||< q|S r  )rU   rW  r9  angle)rb  r=  r   r;  r   )	ret_dtyper"   r#   r    s   z6Argument "z" must be a complex or Array[complex]. Got r$  )r;  rU   r8  rJ   r   r>  r   r~   r   Zunderlying_floatr   r   )rb  r=  r  r~   r"   )r>  r@  r#   ov_np_angle  s    rA  zarray.nonzeroc                    s  |j d }|j}|j|j}t| |d }t |j}t |j}	|j	}
|j
}tjd}tjd}t |}t ||jD}t |
||	||}t ||} |j|} |    ||| W d    n1 sw   Y  W d    n1 sw   Y   |f fddt|D } fdd|D }dd |D }t |}t ||jk}t |
||	||}t ||} |j|} |; |s|f} |}t|D ]}t || dd|g}t || | q  ||| W d    n	1 s'w   Y  W d    n	1 s7w   Y   |j|}t |j|S )	Nr   r%   c                    s   g | ]}t   qS r"   )r   Z	_getvalue)r  r(   r3   rf   	out_shapeoutarytyr"   r#   r    s    z!array_nonzero.<locals>.<listcomp>c                    s   g | ]
}t  |qS r"   )r   r  r   )r3   rf   rD  r"   r#   r    s    c                 S   s   g | ]}|j qS r"   )r9   rE  r"   r"   r#   r    s    r"   C)r5   rc   r~   r  r   r   Zunpack_tuplers   stridesr9   layoutr.   r   r/   Zalloca_once_valueZ	loop_nestrv   Zget_item_pointer2r   Zis_trueZif_thenstorer  loadr-   r   Z
make_tupler   )rf   r3   rg   r5   Zarytyr   Znoutsr  rs   rG  r9   rH  r\   r  r  indicesZptrr   ZnzZoutsZoutarysZ	out_datasr;  curr(   r7   r"   rB  r#   array_nonzero  sh   
	
rM  c                        fdd}|S )Nc                    s,   t | }t | }| r|S |S r&   )rU   r3  r8  )	conditionrN  r  x_y_r  r"   r#   r    s   z)_where_zero_size_array_impl.<locals>.implr"   r~   r  r"   r  r#   _where_zero_size_array_impl  s   rS  c                 C   s0   t | D ]\}}|r|| n|| ||< q|S r&   )rU   r9  )condrN  r  rh   r   rY   r"   r"   r#   _where_generic_inner_impl  s   rU  c           	      C   sH   | j }|j }|j }|j }t| jD ]}|| r|| n|| ||< q|S r&   )r   r-   r   )	rT  rN  r  rh   cfZxfZyfrfr(   r"   r"   r#   _where_fast_inner_impl
  s   rX  c                    s$   dhdhfv  fdd}|S )NrF  Fc                    s   t | t |t |}}}t |j|j|j}t ||}t ||}t ||}	dkr?t j|d d d  dj}
nt j| d}
rOt|||	|
S t|||	|
S )NrY  r  r  )	rU   r3  r  rs   r  r   r  rX  rU  )rO  rN  r  Zcond1x1y1rs   Zcond_rP  rQ  rh   r~   rH  Zuse_faster_implr"   r#   r    s   "z!_where_generic_impl.<locals>.implr"   )r~   rH  r  r"   r\  r#   _where_generic_impl  s   r]  c                 C   s    t | s
d}t|dd }|S )N+The argument "condition" must be array-likec                 S   s   t |  S r&   )rU   r3  rj  )rO  r"   r"   r#   where_cond_none_none2  r  z)ov_np_where.<locals>.where_cond_none_none)r	   r   )rO  r   r_  r"   r"   r#   ov_np_where,  s
   r`  c                    s   t | s
d}t|t|st|rtdt||fdD ]\}}t |s.d}t||qt| tj}t|tj}t|tj}|rt|}	t|}
t	
|	|
}dd  t fdd| ||fD }|rit|S | j}|r|r|j|j  kr}| jkrn n|j}nd	}t||S d
d }|S )Nr^  z"Argument "x" or "y" cannot be Noner  z0The argument "{}" must be array-like if providedc                 S   s"   t | tjpt | tjo| jdkS r   )rJ   r   r>  r   rp   argr"   r"   r#   check_0_dimY  s   z$ov_np_where_x_y.<locals>.check_0_dimc                    s   g | ]} |qS r"   r"   )r  r'   rc  r"   r#   r  \  r  z#ov_np_where_x_y.<locals>.<listcomp>r  c                 S   s    t t | t |t |S r&   )rU   rV  r3  )rO  rN  r  r"   r"   r#   r  h  s    zov_np_where_x_y.<locals>.impl)r	   r   r   zipr  rJ   r   r   r\  rU   r  r  rS  rH  r]  )rO  rN  r  r   rb  r  Zcond_arrr  r  r  r  r~   Zspecial_0_caserH  r  r"   rd  r#   ov_np_where_x_y7  s:   
rf  c                 C   r  )Nc                 S      | j S r&   )r   r  r"   r"   r#   np_real_implo     znp_real.<locals>.np_real_implr"   )r   rh  r"   r"   r#   np_realm     rj  c                 C   r  )Nc                 S   rg  r&   )r   r  r"   r"   r#   np_imag_implw  ri  znp_imag.<locals>.np_imag_implr"   )r   rl  r"   r"   r#   np_imagu  rk  rm  c                 C   s   t | tjsd S dd }|S )Nc                 S   s"   t | D ]	}||kr dS qdS r   )rU   rV   )rX   r  rN  r"   r"   r#   np_contains_impl  r  z%np_contains.<locals>.np_contains_implr   )rX   r  rn  r"   r"   r#   np_contains  s   ro  c                 C   s4   t | stdt|rddd}|S ddd}|S )Nz3The argument to np.count_nonzero must be array-likec                 S   s   t | }t |dkS r   )rU   r  rG  r'   rO   Zarr2r"   r"   r#   r    r6  znp_count_nonzero.<locals>.implc                 S   s   |  tj}tj||dS )N)rO   )r8  rU   r   rG  rp  r"   r"   r#   r    s   r&   )r	   r   r   )r'   rO   r  r"   r"   r#   np_count_nonzero  s   

rq  c                 C   rk   r&   r"   rM  r"   r"   r#   rS    rq  c                 C   r  r&   r  rM  r"   r"   r#   rS    r  c                    s   t | tjtjfstdt |tjtjtjfr6t |tjr!t nt |jtjs,tdt	  fdd}|S t |tjs@tddd }|S )Nz)arr must be either an Array or a Sequencezobj should be of Integer dtypec                    s>   t t | } | j}t j|t jd} |}d||< | | S )Nr  F)rU   r  r3  r   onesr   )rX   r  rJ  Zkeephandlerr"   r#   np_delete_impl  s   z!np_delete.<locals>.np_delete_implc                 S   sf   t t | } | j}|}|| k s||krtd|dk r"||7 }t | d | | |d d  fS )Nz"obj must be less than the len(arr)r   r%   )rU   r  r3  r   
IndexErrorconcatenate)rX   r  rJ  posr"   r"   r#   np_delete_scalar_impl  s   "z(np_delete.<locals>.np_delete_scalar_impl)
rJ   r   r   rD  r   Z	SliceTypenp_delete_handler_isslicer~   r  np_delete_handler_isarray)rX   r  ru  ry  r"   rs  r#   	np_delete  s   r|  r%   c                 C   s(   t | tjr| jdkrd S ddd}|S )Nr   r%   c                 S   s0  |dkr|   S |dk rtd| jd }| jd d t|| df }t|| j}|jdkr2|S | d|f}|d|jd f}t|| j}t	|jd D ]D}t	|d D ]}	|||	d f |||	f  ||	< qYt	d|D ]}
t	||
 d D ]}	||	d  ||	  ||	< q{qq|d ||  ||< qQ|S )Nr   z"diff(): order must be non-negativer  r%   )
r/  rq   rs   r   rU   r   r~   r   r  r-   )r'   r  r   rC  r   a2Zout2Zworkmajorr(   Zniterr"   r"   r#   	diff_impl  s*   

"znp_diff_impl.<locals>.diff_implr  )rJ   r   r   rp   )r'   r  r  r"   r"   r#   np_diff_impl  s   
r  c                 C   sP   t | rt |stdtjtjf}t| |r"t||r"dd }|S dd }|S )Nz3Both arguments to "array_equals" must be array-likec                 S   s   | |kS r&   r"   )a1r}  r"   r"   r#   r    r*   znp_array_equal.<locals>.implc                 S   s2   t | }t |}|j|jkrt ||kS dS r   )rU   r3  rs   r  )r  r}  r'   r/  r"   r"   r#   r    s
   

)r	   r   r   r=  r>  rJ   )r  r}  acceptedr  r"   r"   r#   np_array_equal  s   
r  c                 C   >   t | st |stdt|tjtfstdddd}|S )Nz.intersect1d: first two args must be array-likez5intersect1d: argument "assume_unique" must be booleanFc                 S   s   t | } t |}|st | } t |}n|  } | }t | |f}|  |dd  |d d k}|d d | }|S )Nr%   r  )rU   r3  r:  r  rw  sort)ar1ar2assume_uniqueauxrY  Zint1dr"   r"   r#   np_intersects1d_impl  s   


z0jit_np_intersect1d.<locals>.np_intersects1d_implr$  r	   r   rJ   r   r=  r<  )r  r  r  r  r"   r"   r#   jit_np_intersect1d  s   
r  c                 C   sF   t |tjr|jdkrtd| d S t |tjs!td| d S )Nr%   z${0}(): input should have dimension 1z+{0}(): input should be an array or sequence)rJ   r   r   rp   r   r  rD  )	func_nameseqr"   r"   r#   validate_1d_array_like-  s   
r  c                    s   t d|  t| jtjsd S t|d |d tjfvr/t d| tjt	dd t	dd  ntj
t	dd t	dd  d fd
d	}|S )Nbincount	minlengthc                 S   s   t | t |krtdd S )Nz7bincount(): weights and list don't have the same length)r?   rq   r'   rC  r  r"   r"   r#   validate_inputsF  s   z$np_bincount.<locals>.validate_inputsc                 S   s   | |  || 7  < d S r&   r"   r   r   r   rC  r"   r"   r#   
count_itemL     znp_bincount.<locals>.count_itemc                 S   r  r&   r"   r  r"   r"   r#   r  S  rm   c                 S   s   | |  d7  < d S r  r"   r  r"   r"   r#   r  W  s   r   c                    s   | || |dk rt dt| }|dkr| d nd}td|D ]}| | dk r-t dt|| | }q!t|d |}t|}t|D ]} ||| | | qF|S )Nr   z 'minlength' must not be negativer  r%   z/bincount(): first argument must be non-negative)rq   r?   r-   r   rU   r  )r'   rC  r  r  r  r(   Z
out_lengthr   r  r  r  r"   r#   bincount_impl[  s   z"np_bincount.<locals>.bincount_implr   )r  rJ   r~   r   r  r   r  rU   r   r   r/   )r'   rC  r  r  r"   r  r#   np_bincount7  s$   





r  c                 C   s   t | jr(t |jr&t | jrt |jS t |jr dS | j|jkS dS t |jr0dS t | jrDt |jrB| j|jkS dS t |jrLdS | j|jk rTdS | j|jkr`| j|jkS dS r   )rU   r   r   r   rw  r"   r"   r#   less_than_or_equal_complexu  s*   r  c                 C   s>   t | ts
t |trt| |S t |trt|rdS | |kS r	  )rJ   r4  r  r;  rU   r   rw  r"   r"   r#   _less_than_or_equal  s   


r  c                 C   s:   t | ts
t |trt| |S t |trt| |S | |k S r&   )rJ   r4  less_than_complexr;  less_than_floatrw  r"   r"   r#   
_less_than  s
   


r  c                 C   r  r*  )rU   r   rw  r"   r"   r#   _less_then_datetime64  s
   

r  c                 C   s   t ||  S r&   )r  rw  r"   r"   r#   _less_then_or_equal_datetime64  r)  r  c                    rN  )Nc                    sH   ||k r ||| d?  }| | } ||r|d }n|}||k s||fS r  r"   )r'   key_valr   r  r  Zmid_valcmpr"   r#   r    s   

z_searchsorted.<locals>.implr"   )r  r  r"   r  r#   _searchsorted  s   r  leftrightc                 C   sZ   |t v sJ | jdv rt}t}nt}t}|dkrt|}|}nt|}|}t|t|fS )NZmMr  )VALID_SEARCHSORTED_SIDEScharr  r  r  r  r  r   )np_dtypesider  le_impl_cmpr"   r"   r#    make_searchsorted_implementation  s   
r  c                    s   t |d|}|tvrtd| t|tjtjfr t|j}nt|}t	
t| j|}t||\ t|tjrDd fdd	}|S t|tjrQddd}|S dfdd	}|S )	NrL   z Invalid value given for 'side': r  c           	         s   t j|jt jd}|jd }d}t| }t|jD ]1}|j| } ||r*t| }nd}|t| k r7|d7 }nt| }|}| |||\}}|||< q||jS )Nr  r   r%   )	rU   r   r   r/   r   r?   r-   r  rs   )	r'   rZ   r  r   Zlast_key_valr   r  r(   r  r  r  r"   r#   r    s    





zsearchsorted.<locals>.implc                 S   s   t |}t j| ||dS )Nr  )rU   r3  searchsorted)r'   rZ   r  r"   r"   r#   r    s   
c                    s    | |dt | \}}|S r   )r?   )r'   rZ   r  rr8   )r  r"   r#   r    s   r  )r   r  r   rJ   r   r   rD  r   r~   rU   r  r  )r'   rZ   r  Zside_valZv_dtZnp_dtr  r"   r  r#   r    s    
r  c                    s>   t | tjr| jtjv rtdtdd  d fdd	}|S )Nzx may not be complexc                 S   s   t | dkrdS | d }d}|t | k r*| | |kr*|d7 }|t | k r*| | |ks|t | kr2dS | | }||k rUt|d t | D ]}|}| | }||krR dS qCdS t|d t | D ]}|}| | }||k rm dS q^dS )Nr   r%   r  )r?   r-   )bins
last_valuer(   Z
next_valuer"   r"   r#   _monotonicity$  s2   z"np_digitize.<locals>._monotonicityFc                    s    |}|dkrt d|r+|dkr#t|tj|d d d | dd S tj|| ddS |dkr@t|tj|d d d | dd S tj|| ddS )Nr   z3bins must be monotonically increasing or decreasingr  r  r  r  )rq   r?   rU   r  )rN  r  r  monor  r"   r#   digitize_implI  s   ""z"np_digitize.<locals>.digitize_implr$  )rJ   r   r   r~   complex_domainr   r   )rN  r  r  r  r"   r  r#   np_digitize  s   
$r  r  c                    sT   t |ttjfr#|d tjfv rtd d fdd	}|S ddd}|S ddd}|S )Nr  r  c                    sL    }  }t | D ]}| }||kr|}||k r|}q
t | |||fS r&   )rU   rV   rW   	histogram)r'   r  r-   bin_minbin_maxr   rZ   r  r"   r#   histogram_implo  s   z$np_histogram.<locals>.histogram_implc                 S   s   |dkrt d|\}}||kst dt|tj}||kr_|||  }t| D ]4}| }t|| | }	d|	  krC|k rPn n|t|	  d7  < q*||kr^||d   d7  < q*t	|||d }
||
fS )Nr   z0histogram(): `bins` should be a positive integerz;histogram(): max must be larger than min in range parameterr%   )
rq   rU   r  r/   rV   rW   r   r  r  Zlinspace)r'   r  r-   r  r  histZ	bin_ratior   rZ   r/  Z
bins_arrayr"   r"   r#   r  {  s$   c                 S   s   t |d }t|D ]}|| ||d  kstdq
|d }|| }t|tj}|dkrqt| D ]=}| }	||	  krC|ksEn q3d}
|d }|
|k rh|
| d d? }|	|| k rb|d }n|}
|
|k sO||
  d7  < q3||fS )Nr%   z-histogram(): bins must increase monotonicallyr   )r?   _rangerq   rU   r  r/   rV   rW   )r'   r  r-   Znbinsr(   r  r  r  r   rZ   lohir  r"   r"   r#   r    s.   
r  N)rJ   r  r   r  r  r;  )r'   r  r-   r  r"   r  r#   np_histogramf  s   G
;
!r  )Zibetar   machepepsnegepepsnegiexpminexpZxminmaxexpZxmaxZirndZngrdepsilontinyZhuge	precision
resolutionMachAr)r  r  r  r  r   r  r   r  r  ZnexpZnmantr  r  r  bitsr  )r   r   r  r  c                    sb   t | d| }t|}z||W n
 ty   Y d S w tfdd|D t fdd}|S )Nr~   c                    s   g | ]}t  |qS r"   r  r  )r  r"   r#   r    r  z'generate_xinfo_body.<locals>.<listcomp>c                    s     S r&   r"   ra  )	containerr9   r"   r#   r    r   z!generate_xinfo_body.<locals>.impl)r   r   rq   r  r   )rb  Znp_funcr  attrZnbtyr  r  r"   )r  r9   r  r#   generate_xinfo_body  s   r  c                        t | tjtt  fdd}|S )Nc                    r   r&   r"   r  rj  r"   r#   r    r*   zol_np_finfo.<locals>.impl)r  rU   r  _finfo_supportedrR  r"   rj  r#   ol_np_finfo     r  c                    r  )Nc                    r   r&   r"   )int_typerj  r"   r#   r    r*   zol_np_iinfo.<locals>.impl)r  rU   r  _iinfo_supported)r  r  r"   rj  r#   ol_np_iinfo  r  r  c                    sh   t dd }ts
|S tjtjB }| |v o||v }|s|S t| }t|}t|| t  fdd}|S )Nc                 S   s.   d}t t| D ]}|| | ||   }q|S r   r-   r?   )r'   r/  accr(   r"   r"   r#   
_innerprod  s   z#_get_inner_prod.<locals>._innerprodc                    s   t |  | S r&   )rU   r  r8  rw  r`  r"   r#   	_dot_wrap
  r  z"_get_inner_prod.<locals>._dot_wrap)r   
_HAVE_BLASr   Zreal_domainr  r   rU   r  )ZdtaZdtbr  ZfltyZfloatsa_dtb_dtr  r"   r  r#   _get_inner_prod  s   
r  c                 C   s*   t | tjr| jdkstd| d S d S )Nr%   z!%s() only supported on 1D arrays )rJ   r   r   rp   r   )r'   r  r"   r"   r#   
_assert_1d  s
   
r  c                 C   r  r&   r"   )ap1ap2mode	directionr"   r"   r#   _np_correlate_core  r[  r  c                    s@   t | j}t |j}t|| t| j|j fdd}|S )Nc                    s  t | }t |}||k rtd|}|}|dkr#|| d }d}d}	n&|dkr6|d }	|d }|| d }n|dkrE|d }|| d }	ntdt| }
|dkrXd}d}n|d	krc|d }d	}ntd
t|D ]}|| | }| d | || d  |
|< || }qkt|| d D ]}| |||  ||
|< || }qt|	D ]}|| d }| | d  |d | |
|< || }q|
S )Nz''len(ap1)' must greater than 'len(ap2)'r  r%   r   ru   Zsamero   z1Invalid 'mode', valid are 'full', 'same', 'valid'r  zInvalid direction)r?   rq   rU   r  r-   )r  r  r  r  Zn1Zn2r  r  Zn_leftZn_rightr  r   incr(   r  r`  Z	innerprodr"   r#   r  !  sP   	 

 
z%_np_correlate_core_impl.<locals>.impl)r   r~   rU   r  r  )r  r  r  r  r  r  r  r"   r  r#   _np_correlate_core_impl  s   

@r  r  c                    s   t | d t |d tdd }tdd }| jtjv r,|jtjv r'| |n| |n|jtjv r7| |n| |d	 fdd	}|S )
Nznp.correlatec                 S   r  r&   )rU   r   rM  r"   r"   r#   op_conji  s   
z_np_correlate.<locals>.op_conjc                 S   rk   r&   r"   rM  r"   r"   r#   op_nopm  rm   z_np_correlate.<locals>.op_nopr  c                    sd   t | }t |}|dkrtd|dkrtd||k r't| | |dS t | ||dS Nr   z'a' cannot be emptyz'v' cannot be emptyr  r%   r?   rq   r  r'   rZ   r  ZlalvZa_opZb_opr"   r#   r    s   z_np_correlate.<locals>.implr  )r  r   r~   r   r  )r'   rZ   r  r  r  r  r"   r  r#   _np_correlated  s&   



r  ru   c                 C   s"   t | d t |d ddd}|S )Nznp.convolveru   c                 S   sh   t | }t |}|dkrtd|dkrtd||k r(t|| d d d |dS t| |d d d |dS r  r  r  r"   r"   r#   r    s   znp_convolve.<locals>.implru   )r  )r'   rZ   r  r  r"   r"   r#   np_convolve  s   


r  c                    s:  t | sd S t| tjr$t|s| j|jkrd
dd}|S d
dd}|S t| tjtjfr?t|r8d
dd}|S d
dd}|S t| tjtj	fr]t|rN| n|}t
|d
fdd	}|S t| tjjrt| jtjtj	fsrtdt|ry| jn|d
fdd	}|S t| tjrt| j d
 fd	d	}|S d }|S )Nc                 S   rk   r&   r"   r'   r~   r"   r"   r#   r    r[  znp_asarray.<locals>.implc                 S   s
   |  |S r&   )r8  r  r"   r"   r#   r    rG   c                 S   r  r&   r  r  r"   r"   r#   r    rG   c                 S   s   t | |S r&   r  r  r"   r"   r#   r    r   c                       t |  S r&   r  r  r  r"   r#   r    r   z?asarray support for List is limited to Boolean and Number typesc                    s4   t | }tj| d}t| D ]\}}|||< q|S r  )r?   rU   r   r   )r'   r~   r  r  r(   rZ   )target_dtyper"   r#   r    s
   
c                    s      S r&   )r/  r  r  r"   r#   r    r*   r&   )r	   rJ   r   r   r   r~   rD  rM   r>  r=  r   
containersZListTyper   ZStringLiteralrU   r3  rL   )r'   r~   r  Zdt_convr"   )rX   r  r  r#   
np_asarray  sB   
+
(
!
r  c                    sD   t |tjr
t|}t|tjstj n| tjf fdd	}|S )Nc                    r  r&   r  r  r  r"   r#   r    r   znp_asfarray.<locals>.impl)rJ   r   Typer   rU   r^  Zinexactr   )r'   r~   r  r"   r   r#   np_asfarray  s   r  c                 C   s   dd }|S )Nc                    s   t |  t |  jdkrtdt  jd  r+j jkr+d}t|t jj} fddt|D }t |S )Nr   z"Cannot extract from an empty arrayz+condition shape inconsistent with arr shapec                    s   g | ]}| r j | qS r"   r  )r  r   r'   rT  r"   r#   r    s    z7np_extract.<locals>.np_extract_impl.<locals>.<listcomp>)	rU   r3  r  r   rq   r@  r   r-   r  )rO  rX   r   max_lenr   r"   r  r#   np_extract_impl  s   

 
z#np_extract.<locals>.np_extract_implr"   )rO  rX   r  r"   r"   r#   
np_extract  s   r  c                 C   sF  ddd}t | tjtjfstdt |tjtjfstdt |ttjtjfs-tdt | d tjs9tdt |d tjsEtdt | d tjrZt | d j	tjsZtd	t | d tjrxt | d tjrtt | d d tjsxtd
t | d tjr| d j
|d j
krtdt | d tjr| d j
dk rtd|S )Nr   c                 S   sp   t | t |krtd|t|d j|d j }tt | d ddD ]}| | }|| }t|||}q$|S )Nz7list of cases must be same length as list of conditionsr   r%   r  )r?   rq   rU   rr  rs   r~   r-   rV  )condlist
choicelistdefaultr   r(   rT  choicer"   r"   r#   np_select_arr_impl  s   z%np_select.<locals>.np_select_arr_implz"condlist must be a List or a Tuplez$choicelist must be a List or a Tuplez,default must be a scalar (number or boolean)z items of condlist must be arraysz"items of choicelist must be arraysz%condlist arrays must contain booleansz*condlist tuples must only contain booleanszHcondlist and choicelist elements must have the same number of dimensionsr%   z/condlist arrays must be of at least dimension 1re  )rJ   r   Listr@   r   r  r>  r=  r   r~   rp   )r  r  r	  r  r"   r"   r#   	np_select	  s2   
r  c                 C   sT   t | rt |stdd| jjv sd|jjv r$| jj|jjkr$tddd }|S )Nz.The arguments to np.union1d must be array-likeunichrz/For Unicode arrays, arrays must have same dtypec                 S   s4   t t | }t t |}t t ||fS r&   )rU   r  r3  r:  rw  )r  r  r'   r/  r"   r"   r#   
union_implD  s   znp_union1d.<locals>.union_impl)r	   r   r~   r  )r  r  r  r"   r"   r#   
np_union1d<  s   r  c                    sh   d}t | tjtjtjfst|t|r| j nzt| W n t	y*   tdw d fdd	}|S )Nz7The argument to np.asarray_chkfinite must be array-likez!dtype must be a valid Numpy dtypec                    s4   t j|  d} t | D ]}t |stdq| S )Nr  z#array must not contain infs or NaNs)rU   r3  rV   r  rq   )r'   r~   r(   r  r"   r#   r  [  s   
z"np_asarray_chkfinite.<locals>.implr&   )
rJ   r   r   rD  rM   r   r   r~   r   r   )r'   r~   r   r  r"   r  r#   np_asarray_chkfiniteL  s   r  r  -DT!@c                    s   t |ttjfsd}t|t| sd}t|t |tjtjfs,t|s,d}t|t |t	tj
fs:d}t|tdd d ft |tj
rStt| jt| n
tt| jtj t tjd
 fdd		}|S )Nz&The argument "axis" must be an integerz#The argument "p" must be array-likez'The argument "discont" must be a scalarz&The argument "period" must be a scalarr%   r  r  c                    sf  |dkr
d}t |t|  }|j}|d }||j| |f}|d u r+|d }r9t|d\}	}
|
dk}n|d }	d}|	 }t|j| D ]d}|| }t	|}t
|| || }|rmt||k|dk@ |	|}|| }ttdd |D |k d|}ttdd |D |k d|}t||j}t|}| |  |< |||< qI||S )	Nr  z*Value for argument "axis" is not supportedro   r   Tc                 S   r  r"   r"  r  r"   r"   r#   r    r  z.numpy_unwrap.<locals>.impl.<locals>.<listcomp>c                 S   r  r"   r  r  r"   r"   r#   r    r  )rq   rU   r3  r8  rs   r  r   divmodr-   r  modrV  r  r/  r   )pdiscontrO   periodr   Zp_initZ
init_shapeZ	last_axisZp_newZinterval_highremZboundary_ambiguousZinterval_lowr(   rowddZddmodZ
ph_correctZph_ravelupr~   Zinteger_inputZslice1r"   r#   r    sF   




znumpy_unwrap.<locals>.implNr  r  )rJ   r  r   r  r   r	   r   r   r   r;  r>  rE   rU   r  r   r~   r   r^  integer)r  r  rO   r  r   r  r"   r  r#   numpy_unwrape  s*   )r   c                 C   s@   t d|  | d}t t |dd|| d   d|| d   S )Nr  ro   r   r%   )rU   r5  rV  Z
less_equalrK  r  r"   r"   r#   np_bartlett_impl  s   .r"  c                 C   sR   t d|  | d}ddt t j| | d    dt dt j | | d    S )Nr  ro   gzG?r   r%   g{Gz?r  rU   r5  cosr8  r!  r"   r"   r#   np_blackman_impl  s   r%  c                 C   s2   t d|  | d}ddt t j| | d    S )Nr%   ro   gHzG?gq=
ףp?r#  r!  r"   r"   r#   np_hamming_impl      r&  c                 C   s2   t d|  | d}ddt t j| | d    S )Nr%   ro   r   r#  r!  r"   r"   r#   np_hanning_impl  r'  r(  c                    rN  )Nc                    s$   t | tjs
td fdd}|S )NM must be an integerc                    s8   | dk rt jdt jdS | dkrt jdt jdS  | S )Nr%   r"   r  )rU   r  r   rr  )rK  funcr"   r#   window_impl  s
   z>window_generator.<locals>.window_overload.<locals>.window_impl)rJ   r   r  r   )rK  r,  r*  r"   r#   window_overload  s   z)window_generator.<locals>.window_overloadr"   )r+  r-  r"   r*  r#   window_generator  s   r.  )g4!\Tg}b3<gr넱g^<g"P
g'&&KF5=gbLag$ӛ/=gjzg<t̾=gVg4T&>g0Kg5dMv;p>g"c쑾g$>g'doҾgY(X?>gZY&+g|t(?gRBguZ?gI ^qga?g!Ng-Ί>?g-4pKgw?gWӿg*5N?)gT`g0fFVg!<gA`<gҫ`g8箸g}<g攐*<gbe~g2hϙ]'gE_V=gsk[=g&GCi=gfCg{~5g%t9QgO $=guo >g["d,->gmրVX>gna>g+A>gRx?gI墌k?g	b?c                 C   sH   |d }d}t dt|D ]}|}|}| | | ||  }qd||  S )Nr   rE  r%   r   r  )rN  valsb0b1r(   b2r"   r"   r#   _chbevl"  s   r3  c                 C   s\   | dk r|  } | dkrd|  d }t | t|t S t | td|  d t t |  S )Nr   g       @r   r  g      @@)rU   expr3  _i0A_i0Br  r  r"   r"   r#   _i0/  s   &r7  c                 C   sb   t j| t jd}tt |}tt|D ]}t|t d| | | | d   | ||< q|S )Nr  r%   r  )rU   r-  r   r7  r-   r?   r  )r  alphabetar  tr(   r"   r"   r#   _i0n:  s
   0r;  c                 C   s:   t | tjs
tdt |tjtjfstddd }|S )Nr)  z beta must be an integer or floatc                 S   sT   | dk rt jdt jdS | dkrt jdt jdS t d| }| d d }t|||S )Nr%   r"   r  r   r  )rU   r  r   rr  r5  r;  )rK  r9  r  r8  r"   r"   r#   np_kaiser_implL  s   z!np_kaiser.<locals>.np_kaiser_impl)rJ   r   r  r   r   )rK  r9  r<  r"   r"   r#   	np_kaiserD  s   r=  c                 C   s   dd }|| \}}}||\}}}	t ||	t || }
t ||t ||	 }t ||t || }|
|d< ||d< ||d< d S )Nc                 S   sF   | d }| d }| j d dkr| d }n
t| jd|}|||fS )N.r   .r%   r  rn   .ro   r   )rs   rU   rI  r~   rv   )rN  x0rZ  Zx2r"   r"   r#   _cross_preprocessing]  s   

z._cross_operation.<locals>._cross_preprocessingr>  r?  r@  )rU   rI  )r'   r/  r   rB  a0r  r}  r0  r1  r2  Zcp0Zcp1Zcp2r"   r"   r#   _cross_operationZ  s   	rD  c                 C   r  r&   r"   rw  r"   r"   r#   _crossr  r[  rE  c                    sL   t t| jt|j | jdkr|jdkr fdd}|S  fdd}|S )Nr%   c                    s   t d }t| || |S )Nrn   )rU   r   rD  )r'   r/  cpr  r"   r#   r  z  s   z_cross_impl.<locals>.implc                    s6   t | d |d j}t |d  }t| || |S )Nr>  rF  )rU   r  rs   r   rD  )r'   r/  rs   rG  r  r"   r#   r    s   )rU   r  r   r~   rp   r'   r/  r  r"   r  r#   _cross_implv  s   
rI  c                 C   $   t | rt |stddd }|S )NInputs must be array-like.c                 S   sf   t | }t |}|jd dvs|jd dvrtd|jd dks*|jd dkr/t||S td)Nr  )ro   rn   zDIncompatible dimensions for cross product
(dimension must be 2 or 3)rn   zDimensions for both inputs is 2.
Please replace your numpy.cross(a, b) call with a call to `cross2d(a, b)` from `numba.np.extensions`.)rU   r3  rs   rq   rE  r'   r/  r  r  r"   r"   r#   r    s   


znp_cross.<locals>.implr	   r   rH  r"   r"   r#   np_cross  s   rN  c                 C   sB   dd }|| \}}||\}}t ||t || }t |S )Nc                 S   s   | d }| d }||fS )Nr>  r?  r"   )rN  rA  rZ  r"   r"   r#   rB    s   z0_cross2d_operation.<locals>._cross_preprocessing)rU   rI  r3  )r'   r/  rB  rC  r  r0  r1  rG  r"   r"   r#   _cross2d_operation  s
   
rO  c                 C   r  r&   r"   rw  r"   r"   r#   cross2d  r[  rP  c                 C   rJ  )NrK  c                 S   sB   t | }t |}|jd dks|jd dkrtdt||S )Nr  ro   zRIncompatible dimensions for 2D cross product
(dimension must be 2 for both inputs))rU   r3  rs   rq   rO  rL  r"   r"   r#   r    s   


zcross2d_impl.<locals>.implrM  rH  r"   r"   r#   cross2d_impl  s   
rQ  fbc                    sX   t | tjs
td| jdkrtdt |ttjfstdtdk d	 fdd	}|S )
Nz#The first argument must be an arrayr%   zarray must be 1Dz$The second argument must be a string)ro   ro   rR  c                    s   t | }d}| }d|v r#|D ]}|dks r"|dkr"|d }q t| }d|v rD|d d d D ]}|dks> rC|dkrC|d }q2 ||| S )Nr   r   r%   r/  r  )rU   r3  r  r?   )filttrimr  firstr(   lastZtrim_escapesr"   r#   r    s   


znp_trim_zeros.<locals>.implrR  )rJ   r   r   r   rp   strZUnicodeTyper   )rT  rU  r  r"   rX  r#   np_trim_zeros  s   
r[  c                 C   r  )Nz+setxor1d: first two args must be array-likez2setxor1d: Argument "assume_unique" must be booleanFc                 S   s   t | }t |}|st |}t |}n| }| }t ||f}|  t j|jd d t jd}d|d< d|d< |dd  |d d k|dd< ||dd  |d d @  S )Nr   r%   r  Tr  )	rU   r3  r:  r  rw  r  r   rs   r   )r  r  r  r'   r/  r  flagr"   r"   r#   np_setxor1d_impl  s   


 z)jit_np_setxor1d.<locals>.np_setxor1d_implr$  r  )r  r  r  r]  r"   r"   r#   jit_np_setxor1d  s   
r^  c                 C   r  )Nz,setdiff1d: first two args must be array-likez3setdiff1d: Argument "assume_unique" must be booleanFc                 S   sT   t | } t |}|r|  } | }n
t | } t |}| t j| |ddd S )NTr  invert)rU   r3  r  r:  in1d)r  r  r  r"   r"   r#   np_setdiff1d_impl  s   




z+jit_np_setdiff1d.<locals>.np_setdiff1d_implr$  r  )r  r  r  rb  r"   r"   r#   jit_np_setdiff1d  s   
rc  c                 C   V   t | st |stdt|tjtfstdt|tjtfs$tdddd}|S )Nz'in1d: first two args must be array-likez.in1d: Argument "assume_unique" must be booleanz'in1d: Argument "invert" must be booleanFc                 S   s  t |  } t | }t|dt| d  k rJ|r3t jt| t jd}|D ]}|| |kM }q(|S t jt| t jd}|D ]}|| |kO }q?|S |st | }| | }t j|j	t jd}d|d d< |dd  |d d k|dd < || } t 
|d }t j|j	t jd}	||	|< t |}t | |f}
|
jdd}|
| }t |jt j}|r|dd  |d d k|d d< n|dd  |d d k|d d< ||dd < t j|
j	t jd}|||< |r|d t|  S ||	 S )	Nr  g(\?r  Tr%   r  Z	mergesort)kind)rU   r3  r  r?   rr  r   r  Zargsortr   rs   r   r/   r:  rw  r   )r  r  r  r`  rY  r'   Zorder1r  ZimaskZinv_idxarorderZsarr\  r  r"   r"   r#   np_in1d_impl-  sH   
 
" z!jit_np_in1d.<locals>.np_in1d_implFFr  )r  r  r  r`  rh  r"   r"   r#   jit_np_in1d$  s   
9rj  c                 C   rd  )Nz'isin: first two args must be array-likez.isin: Argument "assume_unique" must be booleanz'isin: Argument "invert" must be booleanFc                 S   s$   t | } t j| |||d| jS )Nr_  )rU   r3  ra  r  rs   )rd  test_elementsr  r`  r"   r"   r#   np_isin_impls  s   

z!jit_np_isin.<locals>.np_isin_implri  r  )rd  rk  r  r`  rl  r"   r"   r#   jit_np_isini  s   
rm  r&   r:  rJ  r$  r   re  rm  r  r   r  r	  r  r  r  r  r  r  rY  ri  (  __doc__r   collectionsr   r  Zllvmlite.irr+  numpyrU   Z
numba.corer   r   Znumba.core.extendingr   r   r   Znumba.np.numpy_supportr   r	   r
   r   r   r   r   r   Znumba.core.imputilsr   r   r   r   Znumba.np.arrayobjr   r   r   r   Znumba.np.linalgr   r   Znumba.core.errorsr   r   r   r   r   Znumba.cpython.unsafe.tupler   r$   r  rD   rR   rG  r   ri   rl   r}   r/   Z	DTypeSpecZIntegerLiteralr   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   Zaminr   r   Zamaxr   r   r   r   r   r  r  r	  r
  r  r  r  r  r  r&  r'  r?  r@  rB  ZaveragerL  rP  Z	iscomplexrV  ZisrealrX  ra  rc  Zisscalarrf  ro  rt  rv  rx  ry  rz  r  r  r  r  r  r  r  Znanminr  Znanmaxr  r  r  r  r  Znanstdr  Znansumr  Znanprodr  Z
nancumprodr  Z	nancumsumr  r  r  r  r  r  r  r  r  r  r  r  r  r  Z_partition_w_nanZ_argpartition_w_nanr  r  r0  r6  r  r  Zmedianr  r  r  r  r  r  r  r   r  r$  Znanpercentiler&  Zquantiler(  Znanquantiler)  Z	nanmedianr,  r4  r7  r<  	partitionrF  r  rI  rL  rT  rN  rO  rZ  Ztrilrf  ru  ro  Ztril_indices_fromry  r|  Ztriur  r  r  Ztriu_indices_fromr  r  r  r  Zediff1dr  r  r  r  r  Ztrapzr  Z	trapezoidr  r  Zvanderr  Zrollr  r  r  r  r  Zinterpr  r  r  r  r  r  r  r\  r  r  r   r  r  r  r  r  r  Zcorrcoefr
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