U
    9%e}6                     @   s  d Z ddlZddlmZ ddlZddlZddlZddlZ	ddl
mZmZ ddlmZmZmZ ddlmZmZmZmZmZmZ ddlmZmZmZmZ ddlmZmZm Z m!Z! dd	l"m#Z# dd
lm$Z$ ddl%m&Z&m'Z'm(Z(m)Z)m*Z*m+Z+ ddl,m-Z- dd Z.e. Z/e$dd Z0e$dd Z1ee	j2ej3edej3dd Z4edd Z5dd Z6ee	j2ej3ej7ej8ee	j2ej3ej9ej8edej3ej7ej8edej3ej9ej8dd Z:ee	j2ej3ej8edej3ej8dd Z;ee	j2ej3ej7ee	j2ej3ej9edej3ej7edej3ej9dd Z<d d! Z=ee	j>eej3d"d#d$ Z?ee	j@eej3d%d&d' ZAee	jBeej3d(d)d* ZCee	jDeej3d+d,d- ZEee	jFeej3d.d/d0 ZGee	jHeej3d1d2d3 ZIed4d5 ZJed6d7 ZKed8d9 ZLee	jMee	jNeej3d:d;d< ZOee	jPee	jQeej3d=d>d? ZRed@dA ZSedBdC ZTedDdE ZUee	jVeej3dFddGdHZWedIdJ ZXedKdL ZYedMdN ZZdOdP Z[ee	j\eej3dQddRdSZ]ee	j^eej3dTdUdV Z_eddZd[Z`ee	jaeej3d\dd]d^Zbee	jceej3d_d`da Zdee	jed	dbdcZfddde Zgee	jhdfdg Ziee	jjdhdi Zkee	jldjdk Zlee	jmdldm Zmee	jndndo Zodpdq Zpee	jqd
drdsZqee	jrddtduZredvdw Zsedxdy Ztedzd{ Zud|d} ZveevesdYd~ZweevetdYd~Zxeevesdd~Zyeevetdd~Zzedd Z{ee	j|dddZ|ee	j}dd Z~ee	jdd Zee	jdd Zee	jdd Zee	jdd Zee	jdd Zee	jdd Zee	jdd Zee	jdd Zedd Zdd Zdd Zdd Zeedd Zeedd Zdd Zeedd Zeej3dee	jdd Zedd ZdddZeeesZeeeZeeeddZdd ZeeeZeeeZeeeZedd Zedd Zee	jdd Zedd Zedd Zedd Zedd Zedd Zedd ZddÄ Zee	jddń Zee	jddǄ Zee	jddɄ Zee	jdd˄ Zee	jdd̈́ Zeddτ Zeddф Zeddӄ Zee	jddՄ Zee	jddׄ Zeddل Zee	jdddۄZedd݄ Zeddd߄Zee	jÃdddZee	jŃdddZee	jǃdddZedddZee	jʃdddZee	j̃dddZee	j΃dddZdd ZeeЃdd Zdd Zee	jӃdddZdd ZeeՃdd Zdd Zee׃dd Zee	jكddd Zedd Zedd Zee	j݃dddZee	j߃dd Zd	Zed
d Zedd Zedd Zee	jdd Zedd Zedd Zdd Zeedd Zedd Zedd Zdd Zd d! Zed"d# Zed$d Zed%d& Zd'd( Zed)d* Zed+d, Zee	jdd-d.Zee	jdd/d0Zee	jd1d2 Zee	jd3d4 Zed5d6 Zed7d8 Zed9d: Zed;d< Z ed=d> Zed?d Zd@dA ZeedBdC Zee	jddDdEZdFdG Ze$dHdI ZedJdK Z	ee	j
ee	jee	jddLdMZee	jdNdO Zee	jddPdQZee	jej3edRej3dSdT ZdUdV ZedWdX ZedYdZ Zd[d\ Zee	jd]d^ Zee	jd_d` Zee	jdadb Zee	jdcdd Zeejdedf Z ee	j!ddgdhZ"edid Z#edjd Z$ee	j%dkdl Z&ee	j'd dndoZ(ee	j)dpdq Z*ee	j+drds Z,dtdu Z-ee	j.d!dvdwZ/dxdy Z0esZ1edzd Z2ee0e1Z3ee0e2Z4ee	j5d"d|d}Z5ee	j6d#d~dZ7e8Z9ee	j:d$ddZ;dZ<ede<Z=dZ>ede>Z?dZ@ede@ZAdd ZBeB  dd ZCee	j?dd ZDee	jAdd ZEdd ZFdd ZGdd ZHeeHdd ZIee	jJd%ddZKee	jLd&ddZMee	jNd'ddZOee	jPe	jQfddZRee	jSdd ZTee	jUd(ddZVee	jWdd ZXee	jYd)ddZZedd Z[edd Z\edd Z]edd Z^dd Z_ee	j`e_e[ ee	jae_e\ ee	jbe_e] ee	jce_e^ e	ddddddddddddddddÐdĐdŐdƐdǐdȐdɐdʐdːd̐d͐dΐdϐdАdѐdgZee	ddӐdԐdՐd֐dאdؐdِdڐdېdܐdݐdސdߐddddddddddddgZfedd Zgedd Zhedd Ziee	jjdd Zkedd Zldd Zmeemdd Znee	jodd Zpedd Zqdd Zreerd d Zsee	jtd*ddZud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)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NumbaDeprecationWarning)tuple_setitemc                   C   s&   z
t   W n tk
r    Y dS X dS NFT)r   ImportError r!   r!   Q/var/www/html/Darija-Ai-API/env/lib/python3.8/site-packages/numba/np/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_indexerE   s    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!   r8   r"   _create_tuple_result_shape,   s
    
rB   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 ]}
|||	|
}qD||| }t d D ]}
|||	|
}qt|S )Nc                   S   s
   t d d S r%   )slicer!   r!   r!   r"   create_full_slice   s    z<_gen_index_tuple.<locals>.codegen.<locals>.create_full_slicer   r$   )r)   r   r*   r.   r   slice2_typer+   r/   )r0   r1   r2   r3   r4   r5   r6   Z	value_argrD   Z
slice_datar'   Z
axis_valuer9   r;   r!   r"   r<   |   s    


z!_gen_index_tuple.<locals>.codegen)	
isinstancer   Literalr   literal_valuer=   rE   r-   Tuple)	r?   r@   valueaxisbeforeafterZ
types_listrA   r<   r!   rF   r"   _gen_index_tupleU   s     	
rO   z	array.sumc                    sB   | d  fdd}| j||||t|j dd}t| ||j |S )Nr   c                    s$    }t | D ]}|| 7 }q|S r%   npnditeritem)arrcvzeror!   r"   array_sum_impl   s    z!array_sum.<locals>.array_sum_implrU   localsreturn_typer.   dictr   contextr1   sigr3   rY   resr!   rW   r"   	array_sum   s    

rd   c                 C   s   | S r%   r!   )rT   rV   r!   r!   r"   _array_sum_axis_nop   s    re   c                    s    fdd}|S )Nc                    s4  | j }s"|dk s|dkr"td||kr2tdt| j}|| }|| t|| j}t|t}t	|D ]}rt
| j| }|| | 7 }qt|dkrt
| j|d}	|| |	 7 }qt|dkrt
| j|d}
|| |
 7 }qt|dkrt
| j|d}|| | 7 }qt|dkrtt
| j|d}|| | 7 }qt|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$      )ndim
ValueErrorlistshapepoprB   rQ   fulltyper+   rO   )rT   rL   rh   ZashapeZaxis_lenZashape_without_axisresultZ
axis_indexZindex_tuple_genericZindex_tuple1Zindex_tuple2Zindex_tuple3Zindex_tuple4const_axis_valis_axis_constoprX   r!   r"   inner   s<    


z gen_sum_axis_impl.<locals>.innerr!   )rr   rq   rs   rX   rt   r!   rp   r"   gen_sum_axis_impl   s    =ru   c                    s  |j }t|d|d}t|dd d kr.tj}nt}|j\}}}	d}
d}t|tjr|j	}|dk rj|j
| }|dk s|||j
krtd| j|}| ||}|d ||d f}|j|||	gd}d}
t|
|||}t|  fd	d
}| ||||}t| ||j |S )Ndtyper   rh   Fz'axis' entry is out of boundsrg   r3   Tc                    s
    | |S r%   r!   )rT   rL   rv   compiledr!   r"   array_sum_impl_axis  s    z1array_sum_axis_dtype.<locals>.array_sum_impl_axis)r^   getattrrQ   takere   r3   rG   r   rH   rI   rh   ri   typing_contextresolve_value_typer,   replaceru   r   r.   r   )ra   r1   rb   r3   rettyrX   rs   ty_arrayty_axisZty_dtyperr   rq   axis_valgen_implrz   rc   r!   rx   r"   array_sum_axis_dtype   s0    
r   c                    sB   | d  fdd}| j||||t|j dd}t| ||j |S )Nr   c                    s$    }t | D ]}|| 7 }q|S r%   rP   )rT   rv   rU   rV   rW   r!   r"   rY   '  s    z'array_sum_dtype.<locals>.array_sum_implrZ   r[   r]   r`   r!   rW   r"   array_sum_dtype"  s    

r   c                    s  |j }t|d|d}t|dd d kr.tj}nt}|j\}}d}	d}
t|tjr|j	}
|
dk rh|j
|
 }
|
dk sz|
|j
krd|
 d}t|| j|
}| ||
}|d |f}|j||gd}d}	t|	|
||}t|  fd	d
}| ||||}t| ||j |S )Nrv   r   rh   Fz'axis' entry (z) is out of boundsrw   Tc                    s
    | |S r%   r!   )rT   rL   rx   r!   r"   rz   W  s    z+array_sum_axis.<locals>.array_sum_impl_axis)r^   r{   rQ   r|   re   r3   rG   r   rH   rI   rh   r   r}   r~   r,   r   ru   r   r.   r   )ra   r1   rb   r3   r   rX   rs   r   r   rr   rq   msgr   r   rz   rc   r!   rx   r"   array_sum_axis2  s2    

r   c                 C   s,   | j tjkrt|| }n
|  |}|S r%   )rn   rQ   Ztimedelta64int64view)rv   rK   acc_initr!   r!   r"   get_accumulator^  s    
r   prodc                    s4   t | tjr0t| j}t|d  fdd}|S d S )Nr$   c                    s$    }t | D ]}|| 9 }q|S r%   rP   r&   rU   rV   r   r!   r"   array_prod_impln  s    z#array_prod.<locals>.array_prod_impl)rG   r   Arrayr   rv   r   )r&   rv   r   r!   r   r"   
array_prodf  s
    

r   cumsumc                    sr   t | tjrn| jtjk}| jtjk}|r8| jjtjjk s<|rHt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%   rQ   emptysize	enumerateflatr&   outrU   idxrV   r   rv   r!   r"   array_cumsum_impl  s    
z'array_cumsum.<locals>.array_cumsum_impl
rG   r   r   rv   Zsigned_domainbool_bitwidthr-   r   r   )r&   
is_integeris_boolr   r!   r   r"   array_cumsumw  s    

r   cumprodc                    sr   t | tjrn| jtjk}| jtjk}|r8| jjtjjk s<|rHttjn
t| jt	d  fdd}|S d S )Nr$   c                    s:   t | j} }t| jD ]\}}||9 }|||< q|S r%   r   r   r   r!   r"   array_cumprod_impl  s    
z)array_cumprod.<locals>.array_cumprod_implr   )r&   r   r   r   r!   r   r"   array_cumprod  s    

r   meanc                    s\   t | tjrX| jtjttjgB k}|r4ttj}n
t| j}t	|d  fdd}|S d S )Nr   c                    s*    }t | D ]}|| 7 }q|| j S r%   )rQ   rR   rS   r   r   r   r!   r"   array_mean_impl  s    z#array_mean.<locals>.array_mean_impl)
rG   r   r   rv   Zinteger_domain	frozensetr   r   float64r   )r&   Z	is_numberrv   r   r!   r   r"   
array_mean  s    

r   varc                 C   s   t | tjrdd }|S d S )Nc                 S   sJ   |   }d}t| D ](}| | }|t|t| 7 }q|| j S Nr   )r   rQ   rR   rS   realconjr   )r&   mssdrV   valr!   r!   r"   array_var_impl  s    z!array_var.<locals>.array_var_implrG   r   r   )r&   r   r!   r!   r"   	array_var  s    r   stdc                 C   s   t | tjrdd }|S d S )Nc                 S   s   |   d S N      ?)r   r&   r!   r!   r"   array_std_impl  s    z!array_std.<locals>.array_std_implr   )r&   r   r!   r!   r"   	array_std  s    r   c                 C   s   | |k S r%   r!   r&   Zmin_valr!   r!   r"   min_comparator  s    r   c                 C   s   | |kS r%   r!   r   r!   r!   r"   max_comparator  s    r   c                 C   s   dS NFr!   r   r!   r!   r"   return_false  s    r   minc                    s   t | tjsd S t | jtjtjfr0tjt nFt | jtj	rTt
dd }t| n"t | jtjrnt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  s    znpy_min.<locals>.comp_funcc                    sj   | j dkrtdt| }t|d}|r6|S |D ]*}| }|rV|  S  ||r:|}q:|S )Nr   zDzero-size array to reduction operation minimum which has no identityr   ri   rQ   rR   nextr|   rS   )r&   it	min_valuer   rV   Z
comparatorZpre_return_funcr!   r"   impl_min  s    


znpy_min.<locals>.impl_min)rG   r   r   rv   
NPDatetimeNPTimedeltarQ   isnatr   Complexr   r   Floatisnan)r&   r   r   r!   r   r"   npy_min  s     
r   maxc                    s   t | tjsd S t | jtjtjfr0tjt nFt | jtj	rTt
dd }t| n"t | jtjrnt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 r   r   )r&   Zmax_valr!   r!   r"   r   *  s    znpy_max.<locals>.comp_funcc                    sj   | j dkrtdt| }t|d}|r6|S |D ]*}| }|rV|  S  ||r:|}q:|S )Nr   zDzero-size array to reduction operation maximum which has no identityr   )r&   r   	max_valuer   rV   r   r!   r"   impl_max:  s    


znpy_max.<locals>.impl_max)rG   r   r   rv   r   r   rQ   r   r   r   r   r   r   r   )r&   r   r   r!   r   r"   npy_max  s     
r   c                 C   s   | j dkrtdt| }t|d}d}t|r<|S d}|D ]6}| }t|rb|  S ||k rr|}|}|d7 }qD|S Nr   *attempt to get argmin of an empty sequencer$   r   ri   rQ   rR   r   r|   r   rS   )arryr   r   min_idxr   r   rV   r!   r!   r"   array_argmin_impl_datetimeO  s"    




r   c                 C   sv   | j dkrtd| jD ]}|}d} q*qt|r8|S d}| jD ].}t|rX|  S ||k rh|}|}|d7 }qB|S r   r   ri   r   rQ   r   r   rV   r   r   r   r!   r!   r"   array_argmin_impl_floate  s"    





r   c                 C   s^   | j dkrtd| jD ]}|}d} q2qtdd}| jD ]}||k rP|}|}|d7 }q<|S )Nr   r   Zunreachabler$   )r   ri   r   RuntimeErrorr   r!   r!   r"   array_argmin_impl_generic{  s    



r   argminc                    sZ   t | jtjtjfrt nt | jtjr.t nt t	|rJd fdd	}nt
| | }|S )Nc                    s    | S r%   r!   r&   rL   flatten_implr!   r"   array_argmin_impl  s    z'array_argmin.<locals>.array_argmin_impl)N)rG   rv   r   r   r   r   r   r   r   r   %build_argmax_or_argmin_with_axis_impl)r&   rL   r   r!   r   r"   array_argmin  s      r   c                 C   s   | j dkrtdt| }t|d}d}t|r<|S d}|D ]6}| }t|rb|  S ||krr|}|}|d7 }qD|S Nr   z*attempt to get argmax of an empty sequencer$   r   )r   r   r   max_idxr   r   rV   r!   r!   r"   array_argmax_impl_datetime  s"    




r   c                 C   sv   | j dkrtd| jD ]}|}d} q*qt|r8|S d}| jD ].}t|rX|  S ||krh|}|}|d7 }qB|S r   r   r   rV   r   r   r   r!   r!   r"   array_argmax_impl_float  s"    





r   c                 C   sV   | j dkrtd| jD ]}|}d} q*qd}| jD ]}||krH|}|}|d7 }q4|S r   )r   ri   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.
    rL   Nc           	         s  |dk r| j | }|dk s$|| j kr,td| j dkr> | S }t|| j d D ]}t|||d }qRt|| j d |}| |}|jd }| }|j| jkst|j| dkstt	
|j| }t|jD ]$} ||| |d |  ||< q||jd d S )Nr   zaxis is out of boundsr$   )rh   ri   r+   r   	transposerk   ravelr   AssertionErrorrQ   r   reshape)	r&   rL   tmpr'   Ztranspose_indexZtransposed_arrr   Zraveledr   r   r   Ztuple_bufferr!   r"   impl  s&    



"z3build_argmax_or_argmin_with_axis_impl.<locals>.impl)N)r   r   r-   tupler+   rh   )r&   rL   r   r   r!   r   r"   r     s
    
r   argmaxc                    sZ   t | jtjtjfrt nt | jtjr.t nt t	|rJd fdd	}nt
| | }|S )Nc                    s    | S r%   r!   r   r   r!   r"   array_argmax_impl  s    z'array_argmax.<locals>.array_argmax_impl)N)rG   rv   r   r   r   r   r   r   r   r   r   )r&   rL   r   r!   r   r"   array_argmax  s      r   allc                 C   s   dd }|S )Nc                 S   s"   t | D ]}| s
 dS q
dS r   rP   r&   rV   r!   r!   r"   flat_all$  s    znp_all.<locals>.flat_allr!   )r&   r   r!   r!   r"   np_all!  s    r   h㈵>:0yE>Fc                 C   s   t | }t |}|s|s$|r(|s(dS |r:|r:|s~dS nDt | sNt |rV| |kS t | | ||t |d   kr~dS dS )NF      ?TrQ   r   isinfabs)Za_vZb_vrtolatol	equal_nanZ	a_v_isnanZ	b_v_isnanr!   r!   r"   _allclose_scalars-  s     

$r  allclosec                 C   s   t | stdt |s tdt|ttjfs8tdt|ttjfsPtdt|ttjfshtdt| tj}t|tj}|r|rdd	d
}|S |r|sddd}|S |s|rddd}	|	S |s|sdd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_scalara  s    
z3np_allclose.<locals>.np_allclose_impl_scalar_scalarc                 S   s:   t |}t |D ] }t| | |||ds dS qdS Nr  FTrQ   asarrayrR   r  rS   )r&   r  r  r  r  bvr!   r!   r"   np_allclose_impl_scalar_arrayg  s    
z2np_allclose.<locals>.np_allclose_impl_scalar_arrayc                 S   s:   t | } t | D ] }t| ||||ds dS qdS r  r  )r&   r  r  r  r  avr!   r!   r"   np_allclose_impl_array_scalarq  s    
z2np_allclose.<locals>.np_allclose_impl_array_scalarc           	      S   s`   t | } t |}t | |\}}t ||fD ](\}}t| | |||ds2 dS q2dS r  )rQ   r  Zbroadcast_arraysrR   r  rS   )	r&   r  r  r  r  Za_aZb_br  r  r!   r!   r"   np_allclose_impl_array_array{  s    

 z1np_allclose.<locals>.np_allclose_impl_array_array)r   r   F)r   r   F)r   r   F)r   r   F)	r	   r   rG   floatr   r   boolBooleanNumber)r&   r  r  r  r  Zis_a_scalarZis_b_scalarr  r  r  r  r!   r!   r"   np_allcloseG  s@      
  
  
  
r  anyc                 C   s   dd }|S )Nc                 S   s"   t | D ]}| r
 dS q
dS r   rP   r   r!   r!   r"   flat_any  s    znp_any.<locals>.flat_anyr!   )r&   r!  r!   r!   r"   np_any  s    r"  c                 C   sN   |d kst |tjr ddd}n*|d ks4t |tjr@ddd}n
ddd}|S )Nc                 S   s   t | }t |S r%   )rQ   r  r   )r&   rL   weightsrT   r!   r!   r"   np_average_impl  s    
z#np_average.<locals>.np_average_implc                 S   sv   t | }t |}|j|jkrB|d kr0td|jdkrBtdt |}|dkr\tdt t ||| }|S )NzCNumba does not support average when shapes of a and weights differ.r$   z81D weights expected when shapes of a and weights differ.        z)Weights sum to zero, can't be normalized.)rQ   r  rk   	TypeErrorrh   sumZeroDivisionErrormultiply)r&   rL   r#  rT   Zsclavgr!   r!   r"   r$    s$    



c                 S   s   t dd S )Nz)Numba does not support average with axis.)r&  )r&   rL   r#  r!   r!   r"   r$    s    )NN)NN)NN)rG   r   ZNoneType)r&   rL   r#  r$  r!   r!   r"   
np_average  s    
r+  c                 C   s,   t | tjtjfrtjS tdd }|S dS )z$
    A generic isnan() function
    c                 S   s   dS r   r!   xr!   r!   r"   _trivial_isnan  s    z!get_isnan.<locals>._trivial_isnanN)rG   r   r   r   rQ   r   r   )rv   r.  r!   r!   r"   	get_isnan  s
    
r/  c                 C   s   t | rdd S d S )Nc                 S   s   t | jdkS r   rQ   r  r   r,  r!   r!   r"   <lambda>      znp_iscomplex.<locals>.<lambda>r	   r,  r!   r!   r"   np_iscomplex  s    r4  c                 C   s   t | rdd S d S )Nc                 S   s   t | jdkS r   r0  r,  r!   r!   r"   r1    r2  znp_isreal.<locals>.<lambda>r3  r,  r!   r!   r"   	np_isreal  s    r5  c                    sV   t | }t| tjrt | j}t|tj t| tjrF fdd}n fdd}|S )Nc                    s   | d krdS  S r   r!   r,  Ziscmplxr!   r"   r     s    ziscomplexobj.<locals>.implc                    s    S r%   r!   r,  r6  r!   r"   r     s    )determine_dtyperG   r   Optionalrn   rQ   
issubdtypecomplexfloating)r-  dtr   r!   r6  r"   iscomplexobj  s    
r<  c                 C   s   dd }|S )Nc                 S   s   t |  S r%   )rQ   r<  r,  r!   r!   r"   r     s    zisrealobj.<locals>.implr!   r-  r   r!   r!   r"   	isrealobj  s    r>  c                    s   t |   fdd}|S )Nc                    s    S r%   r!   )elementrc   r!   r"   r     s    znp_isscalar.<locals>.impl)r
   )r?  r   r!   r@  r"   np_isscalar  s    rA  c                    s*   t |rd fdd	}nd fdd	}|S )Nc                    s   t t |  t | S r%   rQ   logical_andr  Zsignbitr-  r   fnr!   r"   r     s    zis_np_inf_impl.<locals>.implc                    s   t t |  t | |S r%   rB  rD  rE  r!   r"   r     s    )N)Nr   )r-  r   rF  r   r!   rE  r"   is_np_inf_impl   s    rH  c                 C   s   t dd }t| ||S )Nc                 S   s   | S r%   r!   r,  r!   r!   r"   r1    r2  zisneginf.<locals>.<lambda>r   rH  r-  r   rF  r!   r!   r"   isneginf  s    rK  c                 C   s   t dd }t| ||S )Nc                 S   s   |  S r%   r!   r,  r!   r!   r"   r1    r2  zisposinf.<locals>.<lambda>rI  rJ  r!   r!   r"   isposinf  s    rL  c                 C   s   | |k S r%   r!   r&   r  r!   r!   r"   	less_than  s    rN  c                 C   s   | |kS r%   r!   rM  r!   r!   r"   greater_than  s    rO  c                 C   s   | j dkrtdd S )Nr   z3zero-size array to reduction operation not possible)r   ri   r   r!   r!   r"   check_array#  s    
rP  c                    s"   |r fdd}n fdd}|S )Nc                    s   t | }t| t |}t|d}|D ]\}| }t |jrXt |jsX|}q. |j|jrl|}q.|j|jkr. |j	|j	r.|}q.|S r   )
rQ   r  rP  rR   r   r|   rS   r   r   r   r&   rT   r   
return_valr   rV   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   )rQ   r  rP  rR   r   r|   rS   r   rQ  rS  r!   r"   r   <  s    



r!   )rT  is_complex_dtyper   r!   rS  r"   nan_min_max_factory)  s    rV  )rU  Tc                 C   st   t | rt |r|S t | r<t |r<| dk|dkkS t | sPt |rTdS t| | ||t|  kS d S )Nr   Fr  )r-  yr  r  r  r!   r!   r"   _isclose_itemY  s    rX  c                 C   s   t | stdt |s tdt|ttjfs8tdt|ttjfsPtdt|ttjfshtdt| tjrt|tj	rdd	d
}nRt| tj	rt|tjrddd
}n.t| tjrt|tjrddd
}n
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   rQ   zerosr=   r   r+   rX  rk   	r&   r  r  r  r  r-  rW  r   r'   r!   r!   r"   isclose_implz  s    
zisclose.<locals>.isclose_implc           	      S   sV   | }| d}tt|tj}tt|D ]}t||| |||||< q,| |jS rY  rZ  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	|

 |
 |||||	< qNt ||S Nrv   )rQ   broadcast_shapesrk   broadcast_tor[  r=   r   r   rR   rX  rS   )r&   r  r  r  r  rk   a_b_r   r'   r  r  r!   r!   r"   r]    s    
c                 S   s   t | ||||S r%   )rX  r  r!   r!   r"   r]    s    )r   r   F)r   r   F)r   r   F)r   r   F)
r	   r   rG   r  r   r   r  r  r   r  )r&   r  r  r  r  r]  r!   r!   r"   isclosee  s$    
rd  c                 C   s"   t | }t|tjrtS tS d S r%   )r7  rQ   r9  r:  complex_nanminreal_nanminr&   r;  r!   r!   r"   	np_nanmin  s    rh  c                 C   s"   t | }t|tjrtS tS d S r%   )r7  rQ   r9  r:  complex_nanmaxreal_nanmaxrg  r!   r!   r"   	np_nanmax  s    rk  c                    s*   t | tjsd S t| j  fdd}|S )Nc                    sH   d}d}t | D ](}| } |s|| 7 }|d7 }qt ||S Nr%  r   r$   )rQ   rR   rS   divide)r&   rU   countr   rV   r   r!   r"   nanmean_impl  s    
z np_nanmean.<locals>.nanmean_implrG   r   r   r/  rv   )r&   rp  r!   ro  r"   
np_nanmean  s
    
rr  c                    s*   t | tjsd S t| j  fdd}|S )Nc                    sj   t | }d}d}t | D ]@}| } |s| | }|t |t | 7 }|d7 }qt ||S rl  )rQ   nanmeanrR   rS   r   r   rm  )r&   r   r   rn  r   rV   r   ro  r!   r"   nanvar_impl  s    

znp_nanvar.<locals>.nanvar_implrq  )r&   rt  r!   ro  r"   	np_nanvar  s
    
ru  c                 C   s   t | tjsd S dd }|S )Nc                 S   s   t | d S r   )rQ   nanvarr   r!   r!   r"   nanstd_impl  s    znp_nanstd.<locals>.nanstd_implr   )r&   rw  r!   r!   r"   	np_nanstd  s    rx  c                    sP   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%   rP   r&   rU   r   rV   r   rX   r!   r"   nansum_impl  s    
znp_nansum.<locals>.nansum_implrG   r   r   rv   Integerr-   r/  )r&   r   r{  r!   rz  r"   	np_nansum  s    
r~  c                    sP   t | tjsd S t | jtjr&tj}n| j}|dt| j  fdd}|S )Nr$   c                    s0   }t | D ]}| } |s||9 }q|S r%   rP   ry  r   oner!   r"   nanprod_impl	  s    
z np_nanprod.<locals>.nanprod_implr|  )r&   r   r  r!   r  r"   
np_nanprod  s    
r  c                    sZ   t | tjsd S t | jtjtjfr,dd S | jt d fdd}|S d S )Nc                 S   s
   t | S r%   )rQ   r   r   r!   r!   r"   r1    r2  znp_nancumprod.<locals>.<lambda>r$   c                    sD   t | j}}t| jD ]"\}} | r6||9 }|||< q|S r%   r   r   is_nanr  r   r!   r"   nancumprod_impl!  s    

z&np_nancumprod.<locals>.nancumprod_implrG   r   r   rv   r  r}  r/  )r&   r  r!   r  r"   np_nancumprod  s    	r  c                    sZ   t | tjsd S t | jtjtjfr,dd S | jt d fdd}|S d S )Nc                 S   s
   t | S r%   )rQ   r   r   r!   r!   r"   r1  4  r2  znp_nancumsum.<locals>.<lambda>r   c                    sD   t | j}}t| jD ]"\}} | r6||7 }|||< q|S r%   r   r   r  r   rX   r!   r"   nancumsum_impl:  s    

z$np_nancumsum.<locals>.nancumsum_implr  )r&   r  r!   r  r"   np_nancumsum-  s    	r  c                 C   s&   t | }t|dkrtdn|S d S )Nr   z&zero-size array reduction not possible)_asarrayr=   ri   r&   rT   r!   r!   r"   prepare_ptp_inputF  s    
r  c                    s*   t |tjr fdd}n fdd}|S )Nc                    s4    |j | j r|S |j | j kr0 |j| jr0|S | S r%   r   current_valr   rs   r!   r"   r   V  s    z+_compute_current_val_impl_gen.<locals>.implc                    s    || r|S | S r%   r!   r  r  r!   r"   r   ^  s    )rG   r   r   )rs   r  r   r   r!   r  r"   _compute_current_val_impl_genO  s    r  c                 C   s   d S r%   r!   r  r!   r!   r"   _compute_a_maxc  s    r  c                 C   s   d S r%   r!   r  r!   r!   r"   _compute_a_ming  s    r  c                 C   s   t tj| |S r%   )r  operatorgtr  r!   r!   r"   _compute_a_max_implk  s    r  c                 C   s   t tj| |S r%   )r  r  ltr  r!   r!   r"   _compute_a_min_implp  s    r  c                 C   s   d S r%   r!   r   r!   r!   r"   _early_returnu  s    r  c                    sH   d t | tjr fdd}n&t | tjr8 fdd}n fdd}|S )Nr   c                    sH   t | jr<t | jr,dt jt jd  fS dt jd fS nd fS d S )NT              ?y                F)rQ   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 d S r   )rQ   r   r  r  r  r!   r"   r     s    

c                    s   d fS r   r!   r  r  r!   r"   r     s    )rG   r   r   r   )r   r   r!   r  r"   _early_return_imply  s    r  ptpc                 C   s,   t | dr t| jtjr tddd }|S )Nrv   +Boolean dtype is unsupported (as per NumPy)c           	      S   sj   t | }|j}|d }|d }t|jD ]8}|| }t|\}}|rL|  S t||}t||}q(|| S r   )r  r   r+   r   r  r  r  )	r&   rT   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)hasattrrG   rv   r   r  r   )r&   r  r!   r!   r"   np_ptp  s
    
r  c                 C   s(   t | rdS t |rdS | |k S d S r   )rQ   r   rM  r!   r!   r"   nan_aware_less_than  s
    

r  c                    s   d fdd	}|S )Nc                    s  || d? }| | | | rV| | | |  | |< | |<  rV|| ||  ||< ||< | | | | r| | | |  | |< | |<  r|| ||  ||< ||< | | | | r| | | |  | |< | |<  r|| ||  ||< ||< | | }| | | |  | |< | |<  r,|| ||  ||< ||< |}|d }||k r^| | |r^|d7 }q8||kr|| | r|d8 }q^||krq| | | |  | |< | |<  r|| ||  ||< ||< |d7 }|d8 }q8| | | |  | |< | |<  r|| ||  ||< ||< |S Nr$   r!   )AlowhighImidZpivotr'   jargpartition	pivotimplr!   r"   
_partition  sD    
z&_partition_factory.<locals>._partition)Nr!   )r  r  r  r!   r  r"   _partition_factory  s    -r  )r  c                    s   d fdd	}|S )Nc                    sV    | |||}||krN||k r6|d } | |||}q|d } | |||}q| | 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>._select)Nr!   )r  r  r!   r  r"   _select_factory  s    r  c                 C   s   ||kst t| ||}||k r*|d }q ||d kr@|d }q ||krbt| |d |d | qxq t| |||d  qxq | | | |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.
    r$   )r   r  r  )r   r  r  r  r'   r!   r!   r"   _select_two  s    	

r  c                 C   sT   d}|d }|d? }|d@ dkrBt | |d ||\}}|| d S t| |||S dS )zt
    The main logic of the median() call.  *temp_arry* must be disposable,
    as this function will mutate it.
    r   r$   rg   N)r  r  )	temp_arrynr  r  Zhalfr&   r  r!   r!   r"   _median_inner$  s    r  c                 C   s   t | tjsd S dd }|S )Nc                 S   s   |   }|jd }t||S r   )flattenrk   r  )r&   r  r  r!   r!   r"   median_impl9  s    
znp_median.<locals>.median_implr   )r&   r  r!   r!   r"   	np_median4  s    r  c                 C   s  t | }|dkr.tjt || d tjd}ntjt |tjd}tt |D ]`}|| }|dkrt| }tt|  rt| rtj	}n|dkrJt
| }tt|  rt| tjk}t| tj k}|||  }	|	dkrtj	}|dkr|dkrtj	}|dkr$tj	}|	dkr|dkr|dkrtj	}n^d|d t|d  }
t|
}|
| }t| t|d d|d d\}}|d|  ||  }|||< qN|S )Nr$   r   r_  d   rg         Y@)r  r  r  )r=   rQ   rm   r   r   r+   r   r   isfiniter  r   r'  inftrue_dividemathfloorr  int)r&   qr  r   r'   
percentiler   Znum_pos_infZnum_neg_infZ
num_finiteZrankfr   lowerupperr!   r!   r"   _collect_percentiles_innerC  sD    








 
r  c                 C   sT   |r | |  } t | dkr.dS nt|r.dS t | dkrL| d }t|S dS d S )Nr   Fr$   T)r=   rQ   r   r  )r&   nan_maskskip_nanr   r!   r!   r"   _can_collect_percentilesx  s    


r  c                 C   s   d}| j dkrX| jdk rXt| jD ]2}| | dk sL| | |ksLt| | r"d} qq"n0tt| st| dk st| |krd}|S )NTr$   
   r%  F)rh   r   r+   rQ   r   r   )r  q_upper_boundvalidr'   r!   r!   r"   check_valid  s    &,r  c                 C   s   t | ddstdd S )Nr  r  z)Percentiles must be in the range [0, 100]r  ri   r  r!   r!   r"   percentile_is_valid  s    r  c                 C   s   t | ddstdd S )Nr  r  z%Quantiles must be in the range [0, 1]r  r  r!   r!   r"   quantile_is_valid  s    r  c                 C   sz   t j|t jd }|| || }t j| t jd }t |}t|||rd||  }t||}nt t|t j	}|S r^  )
rQ   r  r   r  r   r  r  rm   r=   r  )r&   r  check_qfactorr  r  r  r   r!   r!   r"   _collect_percentiles  s    

r  c                    sv   t | }t|tjrtd fdd} fdd}t|tjtjfrT|S t|tj	rn|j
dkrn|S |S d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  s    z?_percentile_quantile_inner.<locals>.np_percentile_q_scalar_implc                    s   t | | S r%   r  r  r  r!   r"   np_percentile_impl  s    z6_percentile_quantile_inner.<locals>.np_percentile_implr   N)r7  rQ   r9  r:  r   rG   r   r  r  r   rh   )r&   r  r  r  r  r;  r  r  r!   r  r"   _percentile_quantile_inner  s    r  c                 C   s   t | |ddtdS )NFr  r  r  r  r  r  r  r!   r!   r"   np_percentile  s        r  c                 C   s   t | |ddtdS )NTr  r  r  r  r!   r!   r"   np_nanpercentile  s        r  c                 C   s   t | |ddtdS )NFr  r  r  r  r  r!   r!   r"   np_quantile  s        r  c                 C   s   t | |ddtdS )NTr  r  r  r  r!   r!   r"   np_nanquantile  s        r  c                    s*   t | tjsd S t| j  fdd}|S )Nc                    s\   t | j| j}d}t | D ]$}| } |s|||< |d7 }q|dkrRt jS t||S Nr   r$   )rQ   r   r   rv   rR   rS   r  r  )r&   r  r  r   rV   ro  r!   r"   nanmedian_impl  s    
z$np_nanmedian.<locals>.nanmedian_implrq  )r&   r  r!   ro  r"   np_nanmedian  s
    
r  c           	      C   sl   t | }t | jd d }|D ]D}| |  }d}t|d }|D ]}t|||| |}qF|||< q"|S )Nr   r   r$   )rQ   
empty_likendindexrk   copyr=   _select_w_nan)	r&   	kth_arrayr   r   sr   r  r  kthr!   r!   r"   np_partition_impl_inner  s    

r  c           
      C   s   t j| t jd}t | jd d }|D ]T}| |  }t t|}d}t|d }|D ]}	t||	||| |	}qZ|||< q(|S )Nr_  r   r   r$   )	rQ   r  r-   r  rk   r  aranger=   _arg_select_w_nan)
r&   r  r   r   r  r   Zidx_arryr  r  r  r!   r!   r"   np_argpartition_impl_inner  s    
r  c                 C   s   t |tj}|jdkr"tdtt|| jd krDtdt	|}t
|D ],\}}|dk r||| jd  ||< qX|||< qXt|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$   zkth must be scalar or 1-Dr   zkth out of boundsr   )r  astyperQ   r   rh   ri   r   r  rk   r  ndenumerateunique)r&   r  r  r   indexr   r!   r!   r"   
valid_kths2  s    


r  c                 C   sn   t | tjtjtjfstdt | tjr<| jdkr<tdt|d|}t |tjtj	fsbtddd }|S )N(The first argument must be an array-liker   3The first argument must be at least 1-D (found 0-D)rv   Partition index must be integerc                 S   s2   t | }|jdkr| S t||}t||S d S r   )r  r   r  r  r  r&   r  Za_tmpr  r!   r!   r"   np_partition_implc  s
    

z'np_partition.<locals>.np_partition_impl
rG   r   r   SequencerJ   r&  rh   r{   r  r}  )r&   r  kthdtr   r!   r!   r"   np_partitionU  s    r  c                 C   sn   t | tjtjtjfstdt | tjr<| jdkr<tdt|d|}t |tjtj	fsbtddd }|S )Nr  r   r  rv   r  c                 S   s8   t | }|jdkr | dS t||}t||S d S )Nr   r-   )r  r   r  r  r  r  r  r!   r!   r"   np_argpartition_impl|  s
    

z-np_argpartition.<locals>.np_argpartition_implr  )r&   r  r  r  r!   r!   r"   np_argpartitionn  s    r  c                 C   sv   t d| t d|f}tj|tjd}t|d D ]@}tt d|| d |d }d||d |f< d|||d f< q0|S )Nr   r_  r$   )r   rQ   r   r   r+   r   )NMr  rk   r   r'   Zm_maxr!   r!   r"   	_tri_impl  s    r	  c                 C   s   t |d ddd}|S )Nr  r   c                 S   s   |d kr| }t | ||S r%   )r	  )r  r  r  r!   r!   r"   tri_impl  s    znp_tri.<locals>.tri_impl)Nr   )r   )r  r  r  r
  r!   r!   r"   np_tri  s    

r  c                 C   sD   | j dkstt| }tj||f| jd}t|D ]}| ||< q2|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$   r_  )rh   r   r=   rQ   r   rv   r+   )r   Zlen_mr   r'   r!   r!   r"   _make_square  s    
r  c                 C   s>   t j| jd | jd |dt j}t || t j| | jdS Nr   r  r  r_  rQ   trirk   r  uintwhere
zeros_likerv   r   r  maskr!   r!   r"   np_tril_impl_2d  s    $r  c                 C   sB   t |d d	dd}d
dd}| jdkr,|S | jdkr:tS |S d S )Nr  r   c                 S   s   t | }t||S r%   )r  r  r   r  Zm_2dr!   r!   r"   np_tril_impl_1d  s    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 	|| | |||< qV|S r  
rQ   r  rk   r  r  r  r  r  rv   r  r   r  r  r   zZzero_optselr!   r!   r"   np_tril_impl_multi  s    $
z#my_tril.<locals>.np_tril_impl_multir$   rg   )r   )r   )r   rh   r  )r   r  r  r  r!   r!   r"   my_tril  s    


	

r  c                 C   s4   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  rQ   nonzeror  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   r$  r!   r!   r"   np_tril_indices  s    



r&  c                 C   s*   t |d | jdkrtdddd}|S )Nr  rg   input array must be 2-dr   c                 S   s   t j| jd || jd dS Nr   r$   )r  r   )rQ   tril_indicesrk   rT   r  r!   r!   r"   np_tril_indices_from_impl  s    z7np_tril_indices_from.<locals>.np_tril_indices_from_impl)r   r   rh   r   )rT   r  r+  r!   r!   r"   np_tril_indices_from  s
    


r-  c                 C   sB   t j| jd | jd |d dt j}t |t j| | jd| S Nr  r   r$   r  r_  r  r  r!   r!   r"   np_triu_impl_2d  s    (r/  c                 C   sB   t |d d	dd}d
dd}| jdkr,|S | jdkr:tS |S d S )Nr  r   c                 S   s   t | }t||S r%   )r  r/  r  r!   r!   r"   np_triu_impl_1d  s    z my_triu.<locals>.np_triu_impl_1dc                 S   sz   t j| jd | jd |d dt j}t | jd d }t | }t j|| jd}|D ]}t 	||| | ||< qZ|S r.  r  r  r!   r!   r"   np_triu_impl_multi  s    (
z#my_triu.<locals>.np_triu_impl_multir$   rg   )r   )r   )r   rh   r/  )r   r  r0  r1  r!   r!   r"   my_triu  s    


	

r2  c                 C   s4   t | d t |d t|s&t |d ddd}|S )Nr  r  r   r   c                 S   s   t dt j| ||d d S )Nr$   r   r!  r#  r!   r!   r"   np_triu_indices_impl  s    z-np_triu_indices.<locals>.np_triu_indices_impl)r   Nr%  )r  r  r   r3  r!   r!   r"   np_triu_indices  s    



r4  c                 C   s*   t |d | jdkrtdddd}|S )Nr  rg   r'  r   c                 S   s   t j| jd || jd dS r(  )rQ   triu_indicesrk   r*  r!   r!   r"   np_triu_indices_from_impl*  s    z7np_triu_indices_from.<locals>.np_triu_indices_from_impl)r   r,  )rT   r  r6  r!   r!   r"   np_triu_indices_from!  s
    


r7  c                 C   s   d S r%   r!   rT   r!   r!   r"   _prepare_array/  s    r9  c                 C   s"   | d t jfkrdd S dd S d S )Nc                 S   s
   t dS )Nr!   rQ   arrayr8  r!   r!   r"   r1  6  r2  z%_prepare_array_impl.<locals>.<lambda>c                 S   s   t |  S r%   )r  r   r8  r!   r!   r"   r1  8  r2  r   noner8  r!   r!   r"   _prepare_array_impl3  s    r>  c                 C   s   | }t |tjtjfrt|S t|dd }|d k	rB| dkrBtjS t|dd }|d kr^tdt |tj	rr|j
}qt|S qd S )N__len__r   rv   ztype has no dtype attr)rG   r   r  r  r   r{   rQ   r   r&  r  rv   )Zinobjobjlr;  r!   r!   r"   _dtype_of_compound;  s    rB  c                 C   s   t | tjr"t | jtjr"tdt| }d }t|s>t|}d }t|sRt|}|d k	rrt	||srd}t||d k	rt	||sd}t|ddd}|S )Nr  z3dtype of to_begin must be compatible with input aryz1dtype of to_end must be compatible with input aryc           
      S   s   t |}t | }t |}|j}t|dkrtjt|t| t| d |d}t|}t|t| d }	||d |< t||||	< |||	d < n:tjt|t| |d}t|}||d |< |||d < |S )Nr   r$   r_  )r9  rv   r=   rQ   r   diff)
aryto_endto_beginstartr  end	out_dtyper   Z	start_idxZmid_idxr!   r!   r"   np_ediff1d_implf  s$    z#np_ediff1d.<locals>.np_ediff1d_impl)NN)
rG   r   r   rv   r  r   rB  r   rQ   Zcan_cast)rD  rE  rF  Zary_dtZto_begin_dtZ	to_end_dtr   rJ  r!   r!   r"   
np_ediff1dL  s$    
rK  c                 C   s   d S r%   r!   r8  r!   r!   r"   _select_element  s    rL  c                 C   s0   t | dd dk}|r dd }|S dd }|S d S )Nrh   r   c                 S   s$   t jd| jd}| |d d < |d S )N)r$   r_  r   )rQ   r;  rv   )rT   r-  r!   r!   r"   r     s    z"_select_element_impl.<locals>.implc                 S   s   | S r%   r!   r8  r!   r!   r"   r     s    r{   )rT   Zzerodr   r!   r!   r"   _select_element_impl  s    rN  c                 C   s   d S r%   r!   )dxr-  r!   r!   r"   _get_d  s    rP  c                 C   s   t | rdd }ndd }|S )Nc                 S   s
   t |S r%   rQ   r  r-  rO  r!   r!   r"   r     s    zget_d_impl.<locals>.implc                 S   s   t t | S r%   )rQ   rC  r  rR  r!   r!   r"   r     s    rG  )r-  rO  r   r!   r!   r"   
get_d_impl  s    
rS  r  c                 C   sH   t | tjtjfrtdn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          @)rQ   r  rP  rC   r'  rL  )rW  r-  rO  ZyarrdZy_averet	processedr!   r!   r"   r     s    

(znp_trapz.<locals>.impl)Nr  )rG   r   r  r  r   r   rh   )rW  r-  rO  r   r!   r!   r"   np_trapz  s    

rX  c                 C   s   |j \}}|t| kst||ks&t|r|t|D ]F}|dkrPd|dd|f< q2t| |dd|d f |dd|f< q2n\t|d ddD ]J}||d krd|dd|f< qt| |dd|d f |dd|f< qd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   )rk   r=   r   r+   rQ   r)  )r-  r  
increasingr   r   r  r'   r!   r!   r"   
_np_vander  s    

,rZ  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)rh   ri   )r-  r  r!   r!   r"   _check_vander_params  s    
r[  c                    sz   |d t jfkr"t|t js"tdd fdd	}ddd}t| t jr`t| j}t	|t
 |S t| t jt jfrv|S d S )	Nz,Second argument N must be None or an integerFc                    sF   |d krt | }t| | tjt | t|f d}t| ||| |S r^  )r=   r[  rQ   r   r  rZ  )r-  r  rY  r   r_  r!   r"   np_vander_impl  s    
z!np_vander.<locals>.np_vander_implc                 S   sR   |d krt | }t| }t|| tjt | t|f|jd}t|||| |S r^  )r=   rQ   r;  r[  r   r  rv   rZ  )r-  r  rY  x_arrr   r!   r!   r"   np_vander_seq_impl  s    

z%np_vander.<locals>.np_vander_seq_impl)NF)NF)r   r=  rG   r}  r   r   r   rv   rQ   promote_typesr  rJ   r  )r-  r  rY  r\  r^  x_dtr!   r_  r"   	np_vander  s    

ra  c                 C   sD   t |tjtjfstddd }t | tjtjfr<dd S |S d S )Nzshift must be an integerc                 S   sR   t | }t j|j|jd}|j}t|jD ] }|| |j }|| |j|< q,|S r^  )rQ   r  r   rk   rv   r   r+   r   )r&   shiftrT   r   Zarr_flatr'   r   r!   r!   r"   np_roll_impl	  s    
znp_roll.<locals>.np_roll_implc                 S   s
   t | S r%   rQ  )r&   rb  r!   r!   r"   r1  	  r2  znp_roll.<locals>.<lambda>)rG   r   r}  r  r   r  )r&   rb  rc  r!   r!   r"   np_roll	  s    rd     c                 C   sr  d}|}| ||d  kr|S | |d k r,dS |dkr^d}||k rV| || krV|d7 }q8|d S ||d krr|d }|dk r~d}| || k r| ||d  k r|d }|t kr| ||t   kr|t  }n|d S nb| ||d  k r|S | ||d  k  r|d S |d }||t  d k r0| ||t   k r0|t  }||k rj||| d?  }| || krb|d }n|}q0|d S )Nr   r$   r      rf   rg   )LIKELY_IN_CACHE_SIZE)keyrT   lengthguessZiminZimaxr'   Zimidr!   r!   r"   binary_search_with_guess%	  sL    




rk  c                 C   s  t | }t |}t |}t|dkr2tdt|t|krJtd|jdkrjt j|j|d |dS t j|j|d}|j}t|}	|d }
||	d  }|	dkr|d }|d }t|D ]@}|j	| }||k r|
|j	|< q||kr||j	|< q||j	|< qnd}|	|kr&t j|	d |d}nt jd|d}|jrt|	d D ]f}d||d  ||   }||d  j
|| j
 | }||d  j|| j | }|d|  ||< qHt|D ]0}|j	| }t |r|}d}|d|  |j	|< qt|||	|}|d	kr|
|j	|< q||	kr0||j	|< q||	d krP|| |j	|< q|| |krp|| |j	|< q|jr|| }n\d||d  ||   }||d  j
|| j
 | }||d  j|| j | }|d|  }|j
|||   || j
 }t |rZ|j
|||d    ||d  j
 }t |rZ|| j
||d  j
krZ|| 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$   Z
fill_valuerv   r_  r  r%  r   )rQ   r  r=   ri   r   rm   rk   r   r+   r   r   r   r   rk  )r-  xpfprv   dzrO  dydreslenxlenxplvalrvalxp_valfp_valr'   x_valr  slopesZinv_dxr   r   sloper!   r!   r"   np_interp_impl_complex_innerj	  s    










	$&
$&
r}  c                 C   s  t j| t jd}t j|t jd}t j|t jd}t|dkrDtdt|t|kr\td|jdkr|t j|j|d |dS t j|j|d}|j}t|}	|d }
||	d  }|	dkr|d }|d }t	|D ]B}|j
| }||k r|
|j
|< q||kr||j
|< q||j
|< qАnd}|	|krX|dd  |d d  |dd  |d d   }nt jd|d}t	|D ]j}|j
| }t |r||j
|< qnt|||	|}|dkr|
|j
|< qn||	kr||j
|< qn||	d kr|| |j
|< n|| |kr|| |j
|< n|jr$|| }n(||d  ||  ||d  ||   }||||   ||  |j
|< t |j
| rn||||d    ||d   |j
|< t |j
| rn|| ||d  krn|| |j
|< qn|S )Nr_  r   rl  rm  r$   rn  r   )rQ   r  r   r=   ri   r   rm   rk   r   r+   r   r   rk  )r-  ro  rp  rv   rq  rO  rr  rs  rt  ru  rv  rw  rx  ry  r'   rz  r  r{  r|  r!   r!   r"   np_interp_impl_inner	  sf    




2




(&(r~  c                    s   t |dr|jdkrtdt |dr8|jdkr8tdd}t|}t|tjrZt|t|}t|tj t tjrt	nt
 fdd} fdd	}t| tjrt| tjrt||S |S )
Nrh   r$   zxp must be 1Dzfp must be 1Dz:Cannot cast array data from complex dtype to float64 dtypec                    s   | || S r%   r!   r-  ro  rp  rv   rt   r!   r"   np_interp_implL
  s    z!np_interp.<locals>.np_interp_implc                    s   | || j d S r   r   r  r  r!   r"   np_interp_scalar_implO
  s    z(np_interp.<locals>.np_interp_scalar_impl)r  rh   r   r7  rQ   r9  r:  result_typer   r}  r~  rG   r   r  r   )r-  ro  rp  Zcomplex_dtype_msgZxp_dtZfp_dtr  r  r!   r  r"   	np_interp1
  s*    r  c                 C   s`   | j dkst| j\}}tj|df| jd}t|D ]&}t| |d d f | ||df< q4|S )Nrg   r$   r_  r   )rh   r   rk   rQ   r   rv   r+   r'  )r&   r   r  r   r'   r!   r!   r"   row_wise_average]
  s    
$r  c                 C   sb   |d kr|rd}nd}| j d | }t|d}| t| 8 } t| t| j}|td|9 }|S )Nr   r$   r%  )rk   r   r  rQ   dotr   Tr  )XbiasddofZfactrU   r!   r!   r"   np_cov_impl_innerj
  s    
r  c                   C   s   d S r%   r!   r!   r!   r!   r"   _prepare_cov_input_inner
  s    r  c                 C   s$   |d t jfkrdd }ndd }|S )Nc                 S   s   t t| }|s|j}|S r%   )rQ   
atleast_2dr  r  )r   rW  rowvarrv   m_arrr!   r!   r"   r  
  s    z9_prepare_cov_input_impl.<locals>._prepare_cov_input_innerc                 S   s   t t| }t t|}|sH|jd dkr4|j}|jd dkrH|j}|j\}}|j\}}	||	krltdt j|| |f|d}
||
d |d d f< ||
| d d d f< |
S )Nr   r$   z$m and y have incompatible dimensionsr_  )rQ   r  r  rk   r  ri   r   )r   rW  r  rv   r  y_arrZm_rowsZm_colsZy_rowsZy_colsr   r!   r!   r"   r  
  s    

r<  )r   rW  r  rv   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 )Nrg   r   r$   z2D array containing a single row is unsupported due to ambiguity in type inference. To use numpy.cov in this case simply pass the row as a 1D array, i.e. m[0].)rh   rk   r   )r   r   r!   r!   r"   _handle_m_dim_change
  s    r  c                 C   s   | S r%   r!   r,  r!   r!   r"   r1  
  r2  r1  c                    s   t j}t| tjrt| j}nt| tjtjfr:t| }nt| tj	tj
frt  | D ],}t|drx fdd|D  qV | qVt dkrt jdd  D  }nt dkrt  }|S )Nrn  c                    s   g | ]}  |qS r!   )add).0rV   Zcoltypesr!   r"   
<listcomp>
  s     z#determine_dtype.<locals>.<listcomp>r$   c                 S   s   g | ]}t |qS r!   )r   )r  tyr!   r!   r"   r  
  s     )rQ   r   rG   r   r   r   rv   r  r  r>   rJ   setr  r  r=   r_  rl   )
array_likeZarray_like_dtr   r!   r  r"   r7  
  s     

r7  c                 C   sn   t | tjr&| jdkrjtd|nDt | tjrjt | jd tjrjt | jd jd tjrjtd|d S )Nrg   z{0} has more than 2 dimensionsr   )rG   r   r   rh   r&  formatr  rh  )r  namer!   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)rQ   r  ri   r  )r  r!   r!   r"   _handle_ddof
  s    
r  c                 C   s   | S r%   r!   r,  r!   r!   r"   r1  
  r2  c                 C   s   ||  || t | |||S r%   )r  )r   rW  r  rv   r  _DDOF_HANDLER_M_DIM_HANDLERr!   r!   r"   _prepare_cov_input
  s    r  c                 C   s   |d t jfk}t| t jr(| jdkr(|S t| t jrptdd | j D rL|S t| j dkrpt| j d t jrp|S t| t jt j	fr|S t| t j
rt| jd t j
s|rdS dS )Nr$   c                 s   s    | ]}t |tjtjfV  qd S r%   )rG   r   r  r  r  r-  r!   r!   r"   	<genexpr>
  s   z)scalar_result_expected.<locals>.<genexpr>r   TF)r   r=  rG   r   rh   Z	BaseTupler   r=   r  r  r  rh  )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  )rQ   r  fabssignr,  r!   r!   r"   
_clip_corr  s    r  c                 C   s    t | j}t | j}|d|  S )Nr  )r  r   r   )r-  r   r   r!   r!   r"   _clip_complex  s    

r  c           	         s   t | d t |d |d tjfkr(t n2t|tjtjfr@t nt|tjrRt nt	dt
t| tjrntt| }t|}t||tjd
 fdd	}d fdd		}t| |r|S |S d S )Nr   rW  z)ddof must be a real numerical scalar typeTFc                    sb   t | ||| }tt|jdkrRtj|jd |jd ftjdS t|||S d S )Nr   rn  )	r  r  rQ   r   r;  rk   rm   r  r  )r   rW  r  r  r  r  r  r  rv   r!   r"   np_cov_impl2  s    znp_cov.<locals>.np_cov_implc                    sT   t | ||| }tt|jdkr8tj}nt|||jd }t|S r   )	r  r  rQ   r   r;  rk   r  r  r   )r   rW  r  r  r  r  Zvariancer  r!   r"   np_cov_impl_single_variable<  s    z+np_cov.<locals>.np_cov_impl_single_variable)NTFN)NTFN)r  r   r=  _handle_ddof_noprG   r}  r  r   r  r   _handle_m_dim_nopr   r  r7  rQ   r  r   r  )	r   rW  r  r  r  Zm_dty_dtr  r  r!   r  r"   np_cov  s,    


  
r  c                    sb   t | }t |}t||tj}|tjkr0t nt d fdd	}ddd}t| |rZ|S |S d S )NTc                    sp   t | ||}t |}t |j}t|jd D ]4}||d d f  |  < |d d |f  |  < q2 |S r   )rQ   covZdiagsqrtr   r+   rk   )r-  rW  r  rU   rU  stddevr'   Zclip_fnr!   r"   np_corrcoef_implZ  s    
z%np_corrcoef.<locals>.np_corrcoef_implc                 S   s   t | ||}|| S r%   )rQ   r  )r-  rW  r  rU   r!   r!   r"    np_corrcoef_impl_single_variablee  s    z5np_corrcoef.<locals>.np_corrcoef_impl_single_variable)NT)NT)r7  rQ   r  r   Zcomplex_r  r  r  )r-  rW  r  r`  r  rv   r  r  r!   r  r"   np_corrcoefN  s    


r  c                    sB   t | tjtjf}t| r(|s(dd }n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$   r_  )	rQ   r  rk   r[  r   r-   r   Zvstackr"  r  r!   r!   r"   r   z  s    

znp_argwhere.<locals>.impl)r   r   )r$   r   c                    s4   | d k	r t | r tjtjdS tj tjdS d S r^  )r  rQ   r[  r   r-   r   ZfalseishZtrueishr!   r"   r     s    )rG   r   r  r  r	   )r&   Z
use_scalarr   r!   r  r"   np_argwheres  s    
r  c                 C   s   t | rdd }ndd }|S )Nc                 S   s   t | }t t |d S r   )rQ   r  r"  r   r  r!   r!   r"   r     s    
znp_flatnonzero.<locals>.implc                 S   s:   | d k	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    s     z0np_flatnonzero.<locals>.impl.<locals>.<listcomp>r_  )r  r+   rQ   r;  r   r-   )r&   r7   r!   r!   r"   r     s    r3  )r&   r   r!   r!   r"   np_flatnonzero  s    
r  c                 C   s   | j dkrD| jd }| jd }d| }|r4|| }q|t|| }nJt| j}tt|dksltddt|d d 	  }|
 }||fS )Nrg   r   r$   z/All dimensions of input must be of equal lengthr   )rh   rk   r   rQ   r;  r   rC  ri   r   r'  r   )r&   wrapr   r  steprH  rk   r!   r!   r"   _fill_diagonal_params  s    



r  c                 C   s.   t | |\}}td||D ]}|| j|< qd S r   )r  r+   r   )r&   r   r  rH  r  r'   r!   r!   r"   _fill_diagonal_scalar  s    r  c                 C   sN   t | |\}}d}t|}td||D ]"}|| | j|< |d7 }|| }q&d S r  )r  r=   r+   r   )r&   r   r  rH  r  ZctrZv_lenr'   r!   r!   r"   _fill_diagonal  s    r  c                 C   sR   t | j}|j}|j}t t | sFt ||k sFt ||krNtdd S Nz'Unable to safely conform val to a.dtype)rQ   iinforv   r   r   r   r  ri   )r&   r   r  v_minv_maxr!   r!   r"   _check_val_int  s
    .r  c                 C   sN   t | j}|j}|j}|t | }t ||k sBt ||krJtdd S r  )rQ   finforv   r   r   r  r   ri   )r&   r   r  r  r  Zfinite_valsr!   r!   r"   _check_val_float  s    r  c                 C   s   | S r%   r!   r-  rW  r!   r!   r"   r1    r2  c                 C   s   d S r%   r!   r,  r!   r!   r"   r    s    r  c                    sX   t | tjrdd S t | tjtjfr.dd S t | tjtjfrTt|   fddS d S )Nc                 S   s   | S r%   r!   r,  r!   r!   r"   r1    r2  z_asarray_impl.<locals>.<lambda>c                 S   s
   t | S r%   r:  r,  r!   r!   r"   r1    r2  c                    s   t j| g dS r^  r:  r,  r  r!   r"   r1    r2  )rG   r   r   r  rJ   r  r  r   r,  r!   r  r"   _asarray_impl  s    r  c                    s   | j dkrt| jtjrt nt| jtjr2t nt d fdd	}d	 fdd	}t|tjtjtj	frl|S t|tj
tjtjfr|S nd| j  }t|d S )
Nr$   Fc                    s&   t | } | | t| || d S r%   )r  r  r  r&   r   r  tmpvalcheckerr!   r"   scalar_impl   s    
z%np_fill_diagonal.<locals>.scalar_implc                    s&   t | } | | t| || d S r%   )r  r  r  r  r  r!   r"   non_scalar_impl  s    
z)np_fill_diagonal.<locals>.non_scalar_implz4The first argument must be at least 2-D (found %s-D))F)F)rh   rG   rv   r   r}  r  r   r  
_check_nopr  rJ   r  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  s    r  c                 C   s   ||}dd }||fS )Nc                 S   s`   |\}|j d }| |}|j}tj||g}t||t|}	|	|	|f}
t
| ||j|
S r   )r3   r)   modulellvmliteZirFunctionTyper   Zget_or_insert_functionr  callr   r^   )ra   r1   rb   r3   r   r  Zlltyr  ZfntyrF  rc   r!   r!   r"   r<     s    

z _np_round_float.<locals>.codegenr!   )Z	typingctxr   rb   r<   r!   r!   r"   _np_round_float  s    r  c                 C   s   t | st | r| S |dkrp|dkr:d|d  }d}nd| }d}| | | }t |r`| S t|| | S d|  }| | }t|| S d S )Nr      g      $@gMDr  )r  r  r   r  )r-  ndigitsZpow1Zpow2rW  r!   r!   r"   round_ndigits*  s    

r  c                 C   s   t | stdt|tjs0t|s0d}t|t| tjtjtjfrt|rt| tjrhddd}|S t| tjrddd}|S t| tjrddd}|S qddd}|S n0t| tjrt|rdd	d}|S dd
d}|S d S )Nz#The argument "a" must be array-likez5The argument "out" must be an array if it is providedr   c                 S   s   |dkrt | S t| |S d S r   )r  r  r&   decimalsr   r!   r!   r"   r   S  s    zimpl_np_round.<locals>.implc                 S   s   |dkr| S t t| |S d S r   )r  r  r  r!   r!   r"   r   Z  s    c                 S   s@   |dkrt | j}t | j}nt| j|}t| j|}t||S r   )r  r   r   r  complex)r&   r  r   r   r   r!   r!   r"   r   a  s    
c                 S   s   t | ||d< |S r   )rQ   roundr  r!   r!   r"   r   k  s    c                 S   s   t | }t | ||S r%   )rQ   r  r  r  r!   r!   r"   r   q  s    
c                 S   s<   | j |j krtdt| D ]\}}t||||< q|S )Nzinvalid output shape)rk   ri   rQ   r  r  )r&   r  r   r  r   r!   r!   r"   r   v  s
    )r   N)r   N)r   N)r   N)r   N)r   N)	r	   r   rG   r   r   r   r   r}  r   )r&   r  r   r   r   r!   r!   r"   impl_np_roundE  s0    





r  c                 C   s<   t | tjrdd }|S t | tjr0dd }|S tdd S )Nc                 S   s$   | dkrd} | t j9 } t | |  S )Nr%  g#B;)rQ   pisinr,  r!   r!   r"   r     s    
zimpl_np_sinc.<locals>.implc                 S   s0   t | }t | D ]\}}t |||< q|S r%   )rQ   r  r  sinc)r-  r   r  r   r!   r!   r"   r     s    
z,Argument "x" must be a Number or array-like.)rG   r   r  r   r   r=  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rz| j}t|tjrR|j	nt|tj
rd|nd S dfdd	}|S td|  d S )	N   Fc                    s,   |rt | j| j  S t | j| jS d S r%   )rQ   Zarctan2r   r   )r  deg)deg_multr!   r"   r     s    zov_np_angle.<locals>.implc                    s6   t j|  d}t | D ]\}}t ||||< q|S r^  )rQ   r  r  angle)r  r  r   r  r   )	ret_dtyper!   r"   r     s    z6Argument "z" must be a complex or Array[complex]. Got )F)F)r  rQ   r  rG   r   r  r   rv   r   Zunderlying_floatr   r   )r  r  r   rv   r!   )r  r  r"   ov_np_angle  s    r  zarray.nonzeroc                    sH  |j d }|j}|j|j}t| |d }t |j}t |j}	|j	}
|j
}tjd}tjd}t |}t ||jj}t |
||	||}t ||} |j|} |     ||| W 5 Q R X W 5 Q R X  |f fddt|D } fdd|D }dd |D }t |}t ||j}t |
||	||}t ||} |j|} |p |s|f} |}t|D ]6}t || dd|g}t || | qȈ  ||| W 5 Q R X W 5 Q R X  |j|}t |j|S )	Nr   r$   c                    s   g | ]}t   qS r!   )r   Z	_getvalue)r  r'   r1   ra   	out_shapeoutarytyr!   r"   r    s   z!array_nonzero.<locals>.<listcomp>c                    s   g | ]}t  |qS r!   )r   r  r   )r1   ra   r  r!   r"   r    s     c                 S   s   g | ]
}|j qS r!   )r7   r  r!   r!   r"   r    s     r!   C)r3   r^   rv   rn  r   r   Zunpack_tuplerk   stridesr7   layoutr,   r   r-   Zalloca_once_valueZ	loop_nestrn   Zget_item_pointer2r   Zis_trueZif_thenstorer  loadr+   r   Z
make_tupler   )ra   r1   rb   r3   Zarytyr   ZnoutsrD  rk   r  r7   r  rX   r  rn  indicesZptrr   ZnzZoutsZoutarysZ	out_datasr  curr'   r5   r!   r  r"   array_nonzero  sd    
 . 
  (r  c                    s    fdd}|S )Nc                    s,   t | }t | }| r(|S |S r%   )rQ   r  r  )	conditionr-  rW  x_y_r_  r!   r"   r     s    z)_where_zero_size_array_impl.<locals>.implr!   rv   r   r!   r_  r"   _where_zero_size_array_impl  s    r  c                 C   s0   t | D ] \}}|r|| n|| ||< q
|S r%   )rQ   r  )condr-  rW  rc   r   rU   r!   r!   r"   _where_generic_inner_impl  s    r  c           	      C   sH   | j }|j }|j }|j }t| jD ] }|| r6|| n|| ||< q"|S r%   )r   r+   r   )	r  r-  rW  rc   cfZxfZyfrfr'   r!   r!   r"   _where_fast_inner_impl  s    r  c                    s$   dhdhfk fdd}|S )Nr  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}
rt|||	|
S t|||	|
S d S )Nr   r   r_  )	rQ   r  r`  rk   ra  r   r  r  r  )r  r-  rW  Zcond1x1y1rk   Zcond_r  r  rc   rv   r  Zuse_faster_implr!   r"   r     s    "z!_where_generic_impl.<locals>.implr!   )rv   r  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%   )rQ   r  r"  )r  r!   r!   r"   where_cond_none_none%  s    z)ov_np_where.<locals>.where_cond_none_none)r	   r   )r  r   r  r!   r!   r"   ov_np_where  s
    r  c                    s.  t | sd}t|t|s$t|r,tdt||fdD ]"\}}t |s:d}t||q:t| tj}t|tj}t|tj}|rt|}	t|}
t	
|	|
}dd  t fdd| ||fD }|rt|S | j}|r|r|j|j  kr| jkrn n|j}nd	}t||S d
d }|S d S )Nr  z"Argument "x" or "y" cannot be Noner  z0The argument "{}" must be array-like if providedc                 S   s"   t | tjp t | tjo | jdkS r   )rG   r   r  r   rh   argr!   r!   r"   check_0_dimL  s    z$ov_np_where_x_y.<locals>.check_0_dimc                    s   g | ]} |qS r!   r!   )r  r&   r
  r!   r"   r  O  s     z#ov_np_where_x_y.<locals>.<listcomp>r  c                 S   s    t t | t |t |S r%   )rQ   r  r  )r  r-  rW  r!   r!   r"   r   [  s    zov_np_where_x_y.<locals>.impl)r	   r   r   zipr  rG   r   r   r7  rQ   r_  r   r  r  r  )r  r-  rW  r   r	  r  Zcond_arrr]  r  r`  r  rv   Zspecial_0_caser  r   r!   r  r"   ov_np_where_x_y*  s8    "
r  c                 C   s   dd }|S )Nc                 S   s   | j S r%   )r   r  r!   r!   r"   np_real_implb  s    znp_real.<locals>.np_real_implr!   )r   r  r!   r!   r"   np_real`  s    r  c                 C   s   dd }|S )Nc                 S   s   | j S r%   )r   r  r!   r!   r"   np_imag_implj  s    znp_imag.<locals>.np_imag_implr!   )r   r  r!   r!   r"   np_imagh  s    r  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   )rQ   rR   )rT   rh  r-  r!   r!   r"   np_contains_implx  s    z%np_contains.<locals>.np_contains_implr   )rT   rh  r  r!   r!   r"   np_containss  s    r  c                 C   s8   t | stdt|r&ddd}|S ddd}|S d S )Nz3The argument to np.count_nonzero must be array-likec                 S   s   t | }t |dkS r   )rQ   r   r'  r&   rL   Zarr2r!   r!   r"   r     s    
znp_count_nonzero.<locals>.implc                 S   s   |  tj}tj||dS )N)rL   )r  rQ   r   r'  r  r!   r!   r"   r     s    )N)N)r	   r   r   )r&   rL   r   r!   r!   r"   np_count_nonzero  s    

r  c                 C   s   | S r%   r!   r,  r!   r!   r"   r1    r2  c                 C   s
   t | S r%   rQ  r,  r!   r!   r"   r1    r2  c                    s   t | tjtjfstdt |tjtjtjfrlt |tjrBt nt |jtjsXtdt	  fdd}|S t |tjstddd }|S 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)rQ   r   r  r   onesr   )rT   r@  r  Zkeephandlerr!   r"   np_delete_impl  s    z!np_delete.<locals>.np_delete_implc                 S   sf   t t | } | j}|}|| k s,||kr4td|dk rD||7 }t | d | | |d d  fS )Nz"obj must be less than the len(arr)r   r$   )rQ   r   r  r   
IndexErrorconcatenate)rT   r@  r  posr!   r!   r"   np_delete_scalar_impl  s    z(np_delete.<locals>.np_delete_scalar_impl)
rG   r   r   r  r   Z	SliceTypenp_delete_handler_isslicerv   r}  np_delete_handler_isarray)rT   r@  r  r  r!   r  r"   	np_delete  s    r   r$   c                 C   s(   t | tjr| jdkrd S ddd}|S )Nr   r$   c                 S   s0  |dkr|   S |dk r td| jd }| jd d t|| df }t|| j}|jdkrd|S | d|f}|d|jd f}t|| j}t	|jd D ]}t	|d D ]$}	|||	d f |||	f  ||	< qt	d|D ]2}
t	||
 d D ]}	||	d  ||	  ||	< qq|d ||  ||< q|S )Nr   z"diff(): order must be non-negativer   r$   )
r  ri   rk   r   rQ   r   rv   r   r   r+   )r&   r  r   r  r   a2Zout2Zworkmajorr'   Zniterr!   r!   r"   	diff_impl  s(    

"znp_diff_impl.<locals>.diff_impl)r$   )rG   r   r   rh   )r&   r  r#  r!   r!   r"   np_diff_impl  s    
r$  c                 C   sN   t | rt |stdtjtjf}t| |rBt||rBdd }ndd }|S )Nz3Both arguments to "array_equals" must be array-likec                 S   s   | |kS r%   r!   )a1r!  r!   r!   r"   r     s    znp_array_equal.<locals>.implc                 S   s2   t | }t |}|j|jkr.t ||kS dS r   )rQ   r  rk   r   )r%  r!  r&   r  r!   r!   r"   r     s
    

)r	   r   r   r  r  rG   )r%  r!  acceptedr   r!   r!   r"   np_array_equal  s    
r'  c                 C   s$   t | st |stddd }|S )Nz.intersect1d: first two args must be array-likec                 S   sj   t | } t |}t | } t |}t | |f}|  |dd  |d d k}|d d | }|S )Nr$   r   )rQ   r  r  r  sort)ar1ar2Zauxr  Zint1dr!   r!   r"   np_intersects1d_impl
  s    



z0jit_np_intersect1d.<locals>.np_intersects1d_implr	   r   )r)  r*  r+  r!   r!   r"   jit_np_intersect1d  s    r-  c                 C   sD   t |tjr&|jdkr@td| nt |tjs@td| d S )Nr$   z${0}(): input should have dimension 1z+{0}(): input should be an array or sequence)rG   r   r   rh   r&  r  r  )	func_nameseqr!   r!   r"   validate_1d_array_like  s    
r0  c                    s   t d|  t| jtjsd S t|d |d tjfkr^t d| tjt	dd t	dd  ntj
t	dd t	dd  d fd
d	}|S )Nbincount	minlengthc                 S   s   t | t |krtdd S )Nz7bincount(): weights and list don't have the same length)r=   ri   r&   r#  r2  r!   r!   r"   validate_inputs2  s    z$np_bincount.<locals>.validate_inputsc                 S   s   | |  || 7  < d S r%   r!   r   r   r   r#  r!   r!   r"   
count_item8  s    znp_bincount.<locals>.count_itemc                 S   s   d S r%   r!   r3  r!   r!   r"   r4  ?  s    c                 S   s   | |  d7  < d S r  r!   r5  r!   r!   r"   r6  C  s    r   c                    s   | || |dk rt dt| }|dkr4| d nd}td|D ]&}| | dk rZt dt|| | }qBt|d |}t|}t|D ]} ||| | | q|S )Nr   z 'minlength' must not be negativer   r$   z/bincount(): first argument must be non-negative)ri   r=   r+   r   rQ   r[  )r&   r#  r2  r  r  r'   Z
out_lengthr   r6  rI  r4  r!   r"   bincount_implG  s    z"np_bincount.<locals>.bincount_impl)Nr   )r0  rG   rv   r   r}  r   r=  rQ   r   r   r-   )r&   r#  r2  r8  r!   r7  r"   np_bincount#  s$    





r9  c                    s    fdd}|S )Nc                    s   t |r:t|ddD ]}t | |d  s|  S qdS ||k rH|}nd}||k r\|d n|}||kr|| d? } | | |r|d }q`|}q`|S )a  Perform inner loop of searchsorted (i.e. a binary search).

        This is loosely based on the NumPy implementation in [1]_.

        Parameters
        ----------
        a: 1-D array_like
            The input array.
        v: array_like
            The current value to insert into `a`.
        v_last: array_like
            The previous value inserted into `a`.
        lo: int
            The initial/previous "low" value of the binary search.
        hi: int
            The initial/previous "high" value of the binary search.
        n: int
            The length of `a`.


        .. [1] https://github.com/numpy/numpy/blob/809e8d26b03f549fd0b812a17b8a166bcd966889/numpy/core/src/npysort/binsearch.cpp#L173
        r   r   r$   )rQ   r   r+   )r&   rV   v_lastlohir  r'   r  funcr!   r"   searchsorted_inner^  s    


z)_searchsorted.<locals>.searchsorted_innerr!   )r>  r?  r!   r=  r"   _searchsorted]  s    .r@  c                 C   s   | |kS r%   r!   r  r!   r!   r"   r1    r2  leftc                    s   t |d|}|dkrt n|dkr(t ntd| t|tjrRd	 fdd	}n*t|tjrnd
 fdd	}nd fdd	}|S )NrI   rA  rightz Invalid value given for 'side': c           
         sn   t | }d}|}t|jtj}|jd }t||fD ]0\}}	 | | ||||}| }|	| q8|S r   )	r=   rQ   r   rk   r-   r   rR   rS   itemset)
r&   rV   sider  r;  r<  r   r:  r   outviewZ	loop_implr!   r"   searchsorted_impl  s    
z'searchsorted.<locals>.searchsorted_implc           	         sf   t | }d}|}tt |tj}|d }tt |D ]*} | || ||||}|||< || }q6|S r   )r=   rQ   r   r-   r+   )	r&   rV   rD  r  r;  r<  r   r:  r'   rF  r!   r"   rG    s    
c                    s   t | } | ||d||S r   )r=   )r&   rV   rD  r  rF  r!   r"   rG    s    )rA  )rA  )rA  )r{   _searchsorted_left_searchsorted_rightr   rG   r   r   r  )r&   rV   rD  Zside_valrG  r!   rF  r"   searchsorted  s    rJ  c                    sl   t dd  t dd t dd t| tjrFd fdd		}|S t| tjrhd fd
d		}|S d S )Nc                 S   sl   t | }d}d}|dkrh| d }td|D ]<}| | }|oB||k }|oP||k  }|sb|sbtd|}q*|S )NTr$   r   z3bins must be monotonically increasing or decreasing)r=   r+   ri   )binsr  is_increasingZis_decreasingprevr'   r  r!   r!   r"   are_bins_increasing  s    z(np_digitize.<locals>.are_bins_increasingc                 S   s   t |}d}|}|rt| rNt|ddD ]}t||d  s*|  S q*dS ||kr|| d? }|| | k rx|d }qN|}qNn>t| r|S ||kr|| d? }|| | kr|d }q|}q|S )Nr   r   r$   r=   rQ   r   r+   r-  rK  rB  r  r;  r<  r'   r  r!   r!   r"   digitize_scalar  s,    




z$np_digitize.<locals>.digitize_scalarc                 S   s   t |}d}|}|rzt| rHtd|D ]}t|| s(|  S q(|S ||kr|| d? }|| | k rn|}qH|d }qHn>t| rdS ||kr|| d? }|| | kr|}q|d }q|S r  rO  rP  r!   r!   r"   digitize_scalar_decreasing   s,    



z/np_digitize.<locals>.digitize_scalar_decreasingFc                    sd    |}t | jt j}t | |fD ]8\}}|rD| ||}n| ||}|| q&|S r%   )rQ   r   rk   r-   rR   rS   rC  )r-  rK  rB  rL  r   r   rE  r  rN  rQ  rR  r!   r"   digitize_impl(  s    z"np_digitize.<locals>.digitize_implc                    s^    |}t t| t j}tt| D ]2}|rD| | ||||< q&| | ||||< q&|S r%   )rQ   r   r=   r-   r+   )r-  rK  rB  rL  r   r'   rS  r!   r"   rT  8  s    )F)F)r   rG   r   r   r  )r-  rK  rB  rT  r!   rS  r"   np_digitize  s    

%
$
rU  r  c                    sP   t |ttjfrB|d tjfkr6td d fdd	}qLddd}n
d	dd}|S )
Nr  r  c                    sL    }  }t | D ]$}| }||kr,|}||k r|}qt | |||fS r%   )rQ   rR   rS   	histogram)r&   rK  r+   bin_minbin_maxr   rV   r  r!   r"   histogram_implQ  s    z$np_histogram.<locals>.histogram_implc                 S   s   |dkrt d|\}}||ks(t dt|tj}||kr|||  }t| D ]h}| }t|| | }	d|	  kr|k rn n|t|	  d7  < qT||krT||d   d7  < qTt	|||d }
||
fS )Nr   z0histogram(): `bins` should be a positive integerz;histogram(): max must be larger than min in range parameterr$   )
ri   rQ   r[  r-   rR   rS   r  r  r  Zlinspace)r&   rK  r+   rW  rX  histZ	bin_ratior   rV   r  Z
bins_arrayr!   r!   r"   rZ  ]  s"    c                 S   s   t |d }t|D ] }|| ||d  kstdq|d }|| }t|tj}|dkrt| D ]t}| }	||	  kr|ksqf qfd}
|d }|
|k r|
| d d? }|	|| k r|d }q|}
q||
  d7  < qf||fS )Nr$   z-histogram(): bins must increase monotonicallyr   )r=   _rangeri   rQ   r[  r-   rR   rS   )r&   rK  r+   Znbinsr'   rW  rX  r[  r   rV   r;  r<  r  r!   r!   r"   rZ  w  s*    

)r  N)r  N)r  N)rG   r  r   r}  r=  r  )r&   rK  r+   rZ  r!   rY  r"   np_histogramH  s    
!r]  )Zibetar   machepepsnegepepsnegiexpminexpZxminmaxexpZxmaxZirndZngrdepsilontinyZhuge	precision
resolutionMachAr)r_  ra  rb  r^  r   rd  r   rc  r`  ZnexpZnmantrg  rh  rf  bitsr  )r   r   rj  r  c               	      s^   t dkrd S d tjdd"d} tjd| tdd tj W 5 Q R X t  fdd	}d S )
N)r$      T)recordz(`np.MachAr` is deprecated \(NumPy 1.22\)alwaysz.*numba.*arraymath)messagecategoryr  c                     sT    t fddtD  rDd } t| jjd t| j| j  fdd}|S )Nc                    s   g | ]}t  |qS r!   rM  r  r  r!   r"   r    s     z7_gen_np_machar.<locals>.MachAr_impl.<locals>.<listcomp>r   c                      s   t   S r%   )ri  r!   )_mach_ar_datar!   r"   r     s    z1_gen_np_machar.<locals>.MachAr_impl.<locals>.impl)	r   _mach_ar_supportedwarningswarn_explicitrn  r3   r   filenamelineno)Zwmsgr   Z	np_MachArw)rq  r  r"   MachAr_impl  s    z#_gen_np_machar.<locals>.MachAr_impl)r   rs  catch_warningsfilterwarningsDeprecationWarningrQ   ri  r   )r   ry  r!   rw  r"   _gen_np_machar  s    r}  c                    sd   t | d| }t|}z||W n tk
r6   Y d S X tfdd|D t fdd}|S )Nrv   c                    s   g | ]}t  |qS r!   rM  r  rp  r!   r"   r    s     z'generate_xinfo_body.<locals>.<listcomp>c                    s     S r%   r!   r  )	containerr7   r!   r"   r     s    z!generate_xinfo_body.<locals>.impl)r{   r   ri   r   r   )r	  Znp_funcr~  attrZnbtyZnp_dtyper   r!   )r~  r7   r  r"   generate_xinfo_body  s    r  c                    s    t | tjtt  fdd}|S )Nc                    s    | S r%   r!   r_  rE  r!   r"   r     s    zol_np_finfo.<locals>.impl)r  rQ   r  _finfo_supportedr  r!   rE  r"   ol_np_finfo  s    r  c                    s    t | tjtt  fdd}|S )Nc                    s    | S r%   r!   )int_typerE  r!   r"   r     s    zol_np_iinfo.<locals>.impl)r  rQ   r  _iinfo_supported)r  r   r!   rE  r"   ol_np_iinfo  s    r  c                    sl   t dd }ts|S tjtjB }| |ko.||k}|s8|S t| }t|}t|| t  fdd}|S 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%   )rQ   r  r  rM  r;  r!   r"   	_dot_wrap  s    z"_get_inner_prod.<locals>._dot_wrap)r   
_HAVE_BLASr   Zreal_domaincomplex_domainr   rQ   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 )Nr$   z!%s() only supported on 1D arrays )rG   r   r   rh   r   )r&   r.  r!   r!   r"   
_assert_1d  s    
r  c                 C   s   d S r%   r!   )ap1ap2mode	directionr!   r!   r"   _np_correlate_core  s    r  c                    s@   t | j}t |j}t|| t| j|j fdd}|S )Nc                    s  t | }t |}||k r td|}|}|dkrF|| d }d}d}	nL|dkrl|d }	|d }|| d }n&|dkr|d }|| d }	ntdt| }
|dkrd}d}n|d	kr|d }d	}ntd
t|D ]8}|| | }| d | || d  |
|< || }qt|| d D ](}| |||  ||
|< || }q t|	D ]:}|| d }| | d  |d | |
|< || }qR|
S )Nz''len(ap1)' must greater than 'len(ap2)'r  r$   r   rm   Zsamerg   z1Invalid 'mode', valid are 'full', 'same', 'valid'r   zInvalid direction)r=   ri   rQ   r[  r+   )r  r  r  r  Zn1Zn2ri  r  Zn_leftZn_rightrV  r   incr'   r  r;  Z	innerprodr!   r"   r   &  sP    	 
 z%_np_correlate_core_impl.<locals>.impl)r   rv   rQ   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krX|jtjkrN| |qv| |n|jtjkrn| |n| |d	 fdd	}|S )
Nznp.correlatec                 S   s
   t | S r%   )rQ   r   r,  r!   r!   r"   op_conjn  s    z_np_correlate.<locals>.op_conjc                 S   s   | S r%   r!   r,  r!   r!   r"   op_nopr  s    z_np_correlate.<locals>.op_nopr  c                    sh   t | }t |}|dkr td|dkr0td||k rNt| | |dS t | ||dS d S Nr   z'a' cannot be emptyz'v' cannot be emptyr   r$   r=   ri   r  r&   rV   r  ZlalvZa_opZb_opr!   r"   r     s    z_np_correlate.<locals>.impl)r  )r  r   rv   r   r  )r&   rV   r  r  r  r   r!   r  r"   _np_correlatei  s&    



r  rm   c                 C   s"   t | d t |d ddd}|S )Nznp.convolverm   c                 S   sl   t | }t |}|dkr td|dkr0td||k rPt|| d d d |dS t| |d d d |dS d S r  r  r  r!   r!   r"   r     s    znp_convolve.<locals>.impl)rm   )r  )r&   rV   r  r   r!   r!   r"   np_convolve  s    


r  c                    s.  t | sd S d }t| tjrHt|s0| j|jkr<d
dd}n
ddd}nt| tjtjfrzt|rnddd}n
ddd}nt| tjtj	frt|r| n|}t
|dfdd	}nvt| tjjrt| jtjtj	fstdt|r| jn|dfdd	}n(t| tjr*t| j d fd	d	}|S )Nc                 S   s   | S r%   r!   r&   rv   r!   r!   r"   r     s    znp_asarray.<locals>.implc                 S   s
   |  |S r%   )r  r  r!   r!   r"   r     s    c                 S   s
   t | S r%   r:  r  r!   r!   r"   r     s    c                 S   s   t | |S r%   r:  r  r!   r!   r"   r     s    c                    s   t |  S r%   r:  r  r  r!   r"   r     s    z?asarray support for List is limited to Boolean and Number typesc                    s4   t | }tj| d}t| D ]\}}|||< q|S r^  )r=   rQ   r   r   )r&   rv   rA  rV  r'   rV   )target_dtyper!   r"   r     s
    
c                    s      S r%   )r  r  r8  r!   r"   r     s    )N)N)N)N)N)N)N)r	   rG   r   r   r   rv   r  rJ   r  r  r   
containersZListTyper   ZStringLiteralrQ   r  rI   )r&   rv   r   Zdt_convr!   )rT   r  r  r"   
np_asarray  s4    r  c                    sD   t |tjrt|}t|tjs*tj n| tjf fdd	}|S )Nc                    s   t |  S r%   rQ  r  rO  r!   r"   r     s    znp_asfarray.<locals>.impl)rG   r   Typer   rQ   r9  Zinexactr   )r&   rv   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  rVj jkrVd}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&   r  r!   r"   r    s      z7np_extract.<locals>.np_extract_impl.<locals>.<listcomp>)	rQ   r  r  r   ri   r   r   r+   r;  )r  rT   r   max_lenr   r!   r  r"   np_extract_impl  s    

 z#np_extract.<locals>.np_extract_implr!   )r  rT   r  r!   r!   r"   
np_extract  s    r  c                 C   sN  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sZtdt | d tjsrtdt |d tjstdt | d tjrt | d j	tjstd	t | d tjrt | d tjrt | d d tjstd
t | d tjr | d j
|d j
kr tdt | d tjrJ| d j
dk rJtd|S )Nr   c                 S   sp   t | t |krtd|t|d j|d j }tt | d ddD ]"}| | }|| }t|||}qH|S )Nz7list of cases must be same length as list of conditionsr   r$   r   )r=   ri   rQ   r  rk   rv   r+   r  )condlist
choicelistdefaultr   r'   r  choicer!   r!   r"   np_select_arr_impl  s    z%np_select.<locals>.np_select_arr_implz"condlist must be a List or a Tuplez$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$   z/condlist arrays must be of at least dimension 1)r   )rG   r   Listr>   r   r  r  r  r   rv   rh   )r  r  r  r  r!   r!   r"   	np_select  s4    
"r  c                 C   sT   t | rt |stdd| jjks0d|jjkrH| jj|jjkrHtddd }|S )Nz.The arguments to np.union1d must be array-likeunichrz/For Unicode arrays, arrays must have same dtypec                 S   s4   t t | }t t |}t t ||fS r%   )rQ   r   r  r  r  )r)  r*  r&   r  r!   r!   r"   
union_implG  s    znp_union1d.<locals>.union_impl)r	   r   rv   r  )r)  r*  r  r!   r!   r"   
np_union1d?  s    r  c                    sn   d}t | tjtjtjfs"t|t|r2| j n*zt| W n t	k
rZ   tdY nX d fdd	}|S )Nz7The argument to np.asarray_chkfinite must be array-likez!dtype must be a valid Numpy dtypec                    s4   t j|  d} t | D ]}t |stdq| S )Nr_  z#array must not contain infs or NaNs)rQ   r  rR   r  ri   )r&   rv   r'   r  r!   r"   r   ^  s
    

z"np_asarray_chkfinite.<locals>.impl)N)
rG   r   r   r  rJ   r   r   rv   r   r   )r&   rv   r   r   r!   r  r"   np_asarray_chkfiniteO  s    r  c                 C   s@   t d|  | d}t t |dd|| d   d|| d   S )Nr  rg   r   r$   )rQ   r  r  Z
less_equalr  r  r!   r!   r"   np_bartlett_implp  s    r  c                 C   sR   t d|  | d}ddt t j| | d    dt dt j | | d    S )Nr  rg   gzG?r   r$   g{Gz?rT  rQ   r  cosr  r  r!   r!   r"   np_blackman_implv  s    r  c                 C   s2   t d|  | d}ddt t j| | d    S )Nr$   rg   gHzG?gq=
ףp?r  r  r!   r!   r"   np_hamming_impl}  s    r  c                 C   s2   t d|  | d}ddt t j| | d    S )Nr$   rg   r   r  r  r!   r!   r"   np_hanning_impl  s    r  c                    s    fdd}|S )Nc                    s$   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r0t jdt jdS  | S )Nr$   r!   r_  )rQ   r;  float_r  )r  r=  r!   r"   window_impl  s
    z>window_generator.<locals>.window_overload.<locals>.window_impl)rG   r   r}  r   )r  r  r=  r!   r"   window_overload  s    z)window_generator.<locals>.window_overloadr!   )r>  r  r!   r=  r"   window_generator  s    r  g4!\Tg}b3<gr넱g^<g"P
g'&&KF5=gbLag$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   r%  r$   r   r  )r-  valsb0b1r'   b2r!   r!   r"   _chbevl  s    r  c                 C   s\   | dk r|  } | dkr6d|  d }t | t|t S t | td|  d t t |  S )Nr   g       @r   rT  g      @@)rQ   expr  _i0A_i0Br  r  r!   r!   r"   _i0  s    r  c                 C   sb   t j| t jd}tt |}tt|D ]2}t|t d| | | | d   | ||< q*|S )Nr_  r$   rT  )rQ   r  r  r  r+   r=   r  )r  alphabetarW  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r0t jdt jdS t d| }| d d }t|||S )Nr$   r!   r_  r   rT  )rQ   r;  r  r  r  r  )r  r  r  r  r!   r!   r"   np_kaiser_impl  s    z!np_kaiser.<locals>.np_kaiser_impl)rG   r   r}  r   r   )r  r  r  r!   r!   r"   	np_kaiser   s    r  c                 C   s   dd }|| \}}}||\}}}	t ||	t || }
t ||t ||	 }t ||t || }|
|d< ||d< ||d< d S )Nc                 S   sF   | d }| d }| j d dkr(| d }nt| jd|}|||fS )N.r   .r$   r   rf   .rg   r   )rk   rQ   r)  rv   rn   )r-  x0r  Zx2r!   r!   r"   _cross_preprocessing  s    
z._cross_operation.<locals>._cross_preprocessingr  r  r  )rQ   r)  )r&   r  r   r  a0r%  r!  r  r  r  Zcp0Zcp1Zcp2r!   r!   r"   _cross_operation  s    	r  c                 C   s   d S r%   r!   rM  r!   r!   r"   _cross.  s    r  c                    sJ   t t| jt|j | jdkr:|jdkr: fdd}n fdd}|S )Nr$   c                    s   t d }t| || |S )Nrf   )rQ   r   r  )r&   r  cpr_  r!   r"   r   6  s    z_cross_impl.<locals>.implc                    s6   t | d |d j}t |d  }t| || |S )Nr  r  )rQ   r  rk   r   r  )r&   r  rk   r  r_  r!   r"   r   ;  s    )rQ   r_  r   rv   rh   r&   r  r   r!   r_  r"   _cross_impl2  s
    r  c                 C   s$   t | rt |stddd }|S )NInputs must be array-like.c                 S   sj   t | }t |}|jd dks0|jd dkr8td|jd dksT|jd dkr^t||S tdd S )Nr   )rg   rf   zDIncompatible dimensions for cross product
(dimension must be 2 or 3)rf   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`.)rQ   r  rk   ri   r  r&   r  rb  rc  r!   r!   r"   r   H  s    


znp_cross.<locals>.implr,  r  r!   r!   r"   np_crossC  s    r  c                 C   sB   dd }|| \}}||\}}t ||t || }t |S )Nc                 S   s   | d }| d }||fS )Nr  r  r!   )r-  r  r  r!   r!   r"   r  _  s    z0_cross2d_operation.<locals>._cross_preprocessing)rQ   r)  r  )r&   r  r  r  r%  r  r  r  r!   r!   r"   _cross2d_operation\  s
    r  c                 C   s   d S r%   r!   rM  r!   r!   r"   cross2dp  s    r  c                 C   s$   t | rt |stddd }|S )Nr  c                 S   sB   t | }t |}|jd dks0|jd dkr8tdt||S )Nr   rg   zRIncompatible dimensions for 2D cross product
(dimension must be 2 for both inputs))rQ   r  rk   ri   r  r  r!   r!   r"   r   y  s    

zcross2d_impl.<locals>.implr,  r  r!   r!   r"   cross2d_implt  s    
r  fbc                 C   sL   t | tjstd| jdkr&tdt |ttjfs>tdddd}|S )	Nz#The first argument must be an arrayr$   zarray must be 1Dz$The second argument must be a stringr  c                 S   s   t | }d}| }d|kr>|D ]}|dkr4 q>q"|d }q"t| }d|krx|d d d D ]}|dkrn qxq\|d }q\||| S )Nr   r  r$   r  r   )rQ   r  r  r=   )filttrimrb  firstr'   lastr!   r!   r"   r     s    


znp_trim_zeros.<locals>.impl)r  )rG   r   r   r   rh   strZUnicodeType)r  r  r   r!   r!   r"   np_trim_zeros  s    

r  )N)N)r   r   F)r   r   F)NN)N)N)r   r   F)F)Nr   )r   )r   )r   N)r   )r   )r   )r   N)r   )NN)Nr  )NF)NTFN)NT)F)r   N)F)N)r$   )Nr   )rA  )F)r  N)r  )rm   )N)r   )N)r  (v  __doc__r  collectionsr   r  rs  Zllvmlite.irr  numpyrQ   Z
numba.corer   r   Znumba.core.extendingr   r   r   Znumba.np.numpy_supportr   r	   r
   r   r   r   Znumba.core.imputilsr   r   r   r   Znumba.np.arrayobjr   r   r   r   Znumba.np.linalgr   r   Znumba.core.errorsr   r   r   r   r   r   Znumba.cpython.unsafe.tupler   r#   r  rB   rO   r'  r   rd   re   ru   r-   Z	DTypeSpecZIntegerLiteralr   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   Zaminr   r   Zamaxr   r   r   r   r   r   r   r   r   r   r   r   r   r   r  r	  r  r   r"  Zaverager+  r/  Z	iscomplexr4  Zisrealr5  r<  r>  ZisscalarrA  rH  rK  rL  rN  rO  rP  rV  rf  rj  re  ri  rX  rd  Znanminrh  Znanmaxrk  rs  rr  rv  ru  Znanstdrx  Znansumr~  Znanprodr  Z
nancumprodr  Z	nancumsumr  r  r  r  r  r  r  r  r  r  r  r  r  r  Z_partition_w_nanZ_argpartition_w_nanr  r  r  r  r  r  Zmedianr  r  r  r  r  r  r  r  r  r  Znanpercentiler  Zquantiler  Znanquantiler  Z	nanmedianr  r  r  r  	partitionr  r  r  r	  r  r  r  r  Ztrilr  r)  r&  Ztril_indices_fromr-  r/  Ztriur2  r5  r4  Ztriu_indices_fromr7  r9  r>  rB  Zediff1drK  rL  rN  rP  rS  ZtrapzrX  rZ  r[  Zvanderra  Zrollrd  rg  rk  r}  r~  Zinterpr  r  r  r  r  r  r  r7  r  r  r  r  r  r  r  r  r  Zcorrcoefr  Zargwherer  Zflatnonzeror  r  r  r  r  r  r  r  r  Zfill_diagonalr  r  r  r  Zaroundr  Zround_r  r  r  r  r  r"  r  r  r  r  r  r  r  r  r   r  r   r  containsr  Zcount_nonzeror  r  r  deleter   rC  r$  Zarray_equalr'  Zintersect1dr-  r0  r1  r9  r@  Z_ltZ_lerH  rI  rJ  ZdigitizerU  r+   r\  rV  r]  rr  ri  r  r  r  r  r}  r  r  r  r  r  r  r  Z	correlater  Zconvolver  r  r  Zasfarrayr   r  extractr  selectr  Zunion1dr  Zasarray_chkfiniter  r  r  r  r  r  ZbartlettZblackmanZhammingZhanningr;  r  r  r  r  r  Zkaiserr  r  r  r  crossr  r  r  r  Z
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'DmX+'
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 !
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