U
    |e0                     @   s\  d Z ddlZddlm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$m%Z% ddlm&Z& ddl'm(Z(m)Z)m*Z*m+Z+m,Z,m-Z- ddl.m/Z/ dd Z0e0 Z1e&dd Z2e&dd Z3eej4ej5edej5dd Z6edd Z7dd Z8eej4ej5ej9ej:eej4ej5ej;ej:edej5ej9ej:edej5ej;ej:dd Z<eej4ej5ej:edej5ej:dd Z=eej4ej5ej9eej4ej5ej;edej5ej9edej5ej;dd  Z>d!d" Z?eej@eej5d#d$d% ZAeejBeej5d&d'd( ZCeejDeej5d)d*d+ ZEeejFeej5d,d-d. ZGeejHeej5d/d0d1 ZIeejJeej5d2d3d4 ZKed5d6 ZLed7d8 ZMed9d: ZNeejOeej5d;d<d= ZPeejQeej5d>d?d@ ZRedAdB ZSedCdD ZTedEdF ZUeejVeej5dGddHdIZWedJdK ZXedLdM ZYedNdO ZZdPdQ Z[eej\eej5dRd dSdTZ]eej^eej5dUdVdW Z_edd[d\Z`eejaeej5d]dd^d_Zbeejceej5d`dadb ZdeejeddcddZfdedf Zgeejhdgdh Zieejjdidj Zkeejldkdl Zleejmdmdn Zmeejndodp Zodqdr ZpeejqddsdtZqeejrddudvZredwdx Zsedydz Zted{d| Zud}d~ ZveevesdZdZweevetdZdZxeevesddZyeevetdd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j5deejdd Zedd ZdddZeeesZeeeZeeedd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 ZddĄ ZeejddƄ ZeejddȄ Zeejddʄ Zeejdd̄ Zeejdd΄ ZeddЄ Zedd҄ ZeddԄ Zeejddք Zeejdd؄ Zeddڄ Zeejddd܄Zeddބ Zed	dd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$ Zed%d Zed&d' Zd(d) Zed*d+ Zed,d- Zeejdd.d/Zeejdd0d1Zeejd2d3 Zeejd4d5 Zed6d7 Zed8d9 Zed:d; Zed<d= Z ed>d? Zed@d ZdAdB ZeedCdD ZeejddEdFZdGdH Ze&dIdJ ZedKdL Z	eej
eejddMdNZeejdOdP ZeejddQdRZeejej5edSej5dTdU ZdVdW ZedXdY ZedZd[ Zd\d] Zeejd^d_ Zeejd`da Zeejdbdc Zeejddde Zeejdfdg Zeej ddhdiZ!edjd Z"edkd Z#eej$dldm Z%eej&ddodpZ'eej(dqdr Z)eej*dsdt Z+dudv Z,eej-ddwdxZ.dydz Z/esZ0ed{d Z1ee/e0Z2ee/e1Z3eej4dd}d~Z4eej5dddZ6e7Z8eej9dddZ:dZ;ede;Z<dZ=ede=Z>dZ?ede?Z@dd ZAeA  dd ZBeBej>e>e= eBej@e@e? dd ZCdd ZDdd ZEG dd deZFeeEdd ZGeejHdd ZIeejJdd ZKeejLdddZMeejNejOfddZPeejQdd ZReejSd ddZTeejUdd ZVeejWd!ddZXedd ZYedd ZZedd Z[edd Z\dd Z]eej^e]eY eej_e]eZ eej`e]e[ eejae]e\ ebdd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dgZcebdАdѐdҐdӐdԐdՐd֐dאdؐdِdڐdېdܐdݐdސdߐdddddddddgZdedd Zeedd Zfedd Zgeejhdd Ziedd Zjdd Zkeekdd Zleejmdd Znedd Zodd Zpeepdd ZqdS ("  z5
Implementation of math operations on Array objects.
    N)
namedtuple)IntEnum)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"   O/var/www/website-v5/atlas_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_indexerF   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tupin_shape_r)   r(   Zdataidxdatand
shape_listtuptyr"   r#   codegen>   s    

z+_create_tuple_result_shape.<locals>.codegen)lenr   UniTupler.   )tyctxr<   shape_tuplefunction_sigr>   r"   r:   r#   _create_tuple_result_shape-   s
    
rD   c           	         s   t |tjstd|j t| kr.d  }| d }g }|tjg| 7 }|tjg7 }|tjg| 7 }t||||} fdd}||fS )aH  
    Generates a tuple that can be used to index a specific slice from an
    array for sum with axis.  shape_tuple is the size of the dimensions of
    the input array.  'value' is the value to put in the indexing tuple
    in the axis dimension and 'axis' is that dimension.  For this to work,
    axis has to be a const.
    z axis argument must be a constantr   r%   c                    s   |  }t|}|\}}}dd }| ||t g }	td D ]}
|||	|
}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,   r0   )r1   r2   r3   r4   r5   r6   r8   Z	value_argrF   Z
slice_datar(   Z
axis_valuer;   r=   r"   r#   r>   }   s    


z!_gen_index_tuple.<locals>.codegen)	
isinstancer   Literalr   literal_valuer?   rG   r.   Tuple)	rA   rB   valueaxisbeforeafterZ
types_listrC   r>   r"   rH   r#   _gen_index_tupleV   s     	
rQ   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rW   localsreturn_typer/   dictr   contextr2   sigr4   r[   resr"   rY   r#   	array_sum   s    

rf   c                 C   s   | S r&   r"   )rV   rX   r"   r"   r#   _array_sum_axis_nop   s    rg   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poprD   rS   fulltyper,   rQ   )rV   rN   rj   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oprZ   r"   r#   inner   s<    


z gen_sum_axis_impl.<locals>.innerr"   )ru   rt   rv   rZ   rw   r"   rs   r#   gen_sum_axis_impl   s    =rx   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   rj   Fz'axis' entry is out of boundsri   r4   Tc                    s
    | |S r&   r"   )rV   rN   ry   compiledr"   r#   array_sum_impl_axis  s    z1array_sum_axis_dtype.<locals>.array_sum_impl_axis)r`   getattrrS   takerg   r4   rI   r   rJ   rK   rj   rk   typing_contextresolve_value_typer-   replacerx   r   r/   r   )rc   r2   rd   r4   rettyrZ   rv   ty_arrayty_axisty_dtyperu   rt   axis_valgen_implr}   re   r"   r{   r#   array_sum_axis_dtype   s0    
r   c                    sB   | d  fdd}| j||||t|j dd}t| ||j |S )Nr   c                    s$    }t | D ]}|| 7 }q|S r&   rR   )rV   ry   rW   rX   rY   r"   r#   r[   (  s    z'array_sum_dtype.<locals>.array_sum_implr\   r]   r_   rb   r"   rY   r#   array_sum_dtype#  s    

r   c                    s  |j }t|d|d}t|dd d kr.tj}nt}|j\}}d}	d}
t|tjr|j	}
|
dk rh|j
|
 }
|
dk sz|
|j
krd|
 d}t|| j|
}| ||
}|d |f}|j||gd}d}	t|	|
||}t|  fd	d
}| ||||}t| ||j |S )Nry   r   rj   Fz'axis' entry (z) is out of boundsrz   Tc                    s
    | |S r&   r"   rV   rN   r{   r"   r#   r}   X  s    z+array_sum_axis.<locals>.array_sum_impl_axis)r`   r~   rS   r   rg   r4   rI   r   rJ   rK   rj   r   r   r   r-   r   rx   r   r/   r   )rc   r2   rd   r4   r   rZ   rv   r   r   ru   rt   msgr   r   r}   re   r"   r{   r#   array_sum_axis3  s2    

r   c                 C   s,   | j tjkrt|| }n
|  |}|S r&   )rp   rS   timedelta64int64view)ry   rM   acc_initr"   r"   r#   get_accumulator_  s    
r   prodc                    s4   t | tjr0t| j}t|d  fdd}|S d S )Nr%   c                    s$    }t | D ]}|| 9 }q|S r&   rR   r'   rW   rX   r   r"   r#   array_prod_implo  s    z#array_prod.<locals>.array_prod_impl)rI   r   Arrayr	   ry   r   )r'   ry   r   r"   r   r#   
array_prodg  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&   rS   emptysize	enumerateflatr'   outrW   idxrX   r   ry   r"   r#   array_cumsum_impl  s    
z'array_cumsum.<locals>.array_cumsum_impl
rI   r   r   ry   signed_domainbool_bitwidthr.   r	   r   )r'   
is_integeris_boolr   r"   r   r#   array_cumsumx  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&   )rS   rT   rU   r   r   r   r"   r#   array_mean_impl  s    z#array_mean.<locals>.array_mean_impl)
rI   r   r   ry   integer_domain	frozensetr   r	   float64r   )r'   Z	is_numberry   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   rS   rT   rU   realconjr   )r'   mssdrX   valr"   r"   r#   array_var_impl  s    z!array_var.<locals>.array_var_implrI   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'   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   rk   rS   rT   nextr   rU   )r'   it	min_valuer   rX   Z
comparatorZpre_return_funcr"   r#   impl_min  s    


znpy_min.<locals>.impl_min)rI   r   r   ry   
NPDatetimeNPTimedeltarS   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'   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   rX   r   r"   r#   impl_max9  s    


znpy_max.<locals>.impl_max)rI   r   r   ry   r   r   rS   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   rk   rS   rT   r   r   r   rU   )arryr   r   min_idxr   r   rX   r"   r"   r#   array_argmin_impl_datetimeN  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   rk   r   rS   r   r   rX   r   r   r   r"   r"   r#   array_argmin_impl_floatd  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   unreachabler%   )r   rk   r   RuntimeErrorr   r"   r"   r#   array_argmin_impl_genericz  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   flatten_implr"   r#   array_argmin_impl  s    z'array_argmin.<locals>.array_argmin_impl)N)rI   ry   r   r   r   r   r   r   r   r   %build_argmax_or_argmin_with_axis_impl)rV   rN   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   rX   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   rX   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   rk   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.
    rN   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%   )rj   rk   r,   r   	transposerm   ravelr   AssertionErrorrS   r   reshape)	rV   rN   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,   rj   )rV   rN   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)rI   ry   r   r   r   r   r   r   r   r   r   )rV   rN   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    rR   r'   rX   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$|r(|s(dS |r:|r:|s~dS nDt | sNt |rV| |kS t | | ||t |d   kr~dS dS )NF      ?TrS   r   isinfabs)Za_vZb_vrtolatol	equal_nanZ	a_v_isnanZ	b_v_isnanr"   r"   r#   _allclose_scalars,  s     

$r  allclosec                 C   s   t | stdt |s tdt|tjs4tdt|tjsHtdt|tjs\t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 )Nz)The first argument "a" must be array-likez*The second argument "b" must be array-likez2The third argument "rtol" must be a floating pointz3The fourth argument "atol" must be a floating pointz0The fifth argument "equal_nan" must be a booleanr	  r
  Fc                 S   s   t | ||||dS )Nr  r  r  )r  r'   br  r  r  r"   r"   r#   np_allclose_impl_scalar_scalar`  s    
z3np_allclose.<locals>.np_allclose_impl_scalar_scalarc                 S   s:   t |}t |D ] }t| | |||ds dS qdS Nr  FTrS   asarrayrT   r  rU   )r'   r  r  r  r  bvr"   r"   r#   np_allclose_impl_scalar_arrayf  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_scalarp  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  )rS   r  broadcast_arraysrT   r  rU   )	r'   r  r  r  r  Za_aZb_br  r  r"   r"   r#   np_allclose_impl_array_arrayz  s    

 z1np_allclose.<locals>.np_allclose_impl_array_array)r	  r
  F)r	  r
  F)r	  r
  F)r	  r
  F)r
   	TypeErrorrI   r   r   r   BooleanNumber)r'   r  r  r  r  Zis_a_scalarZis_b_scalarr  r  r  r   r"   r"   r#   np_allcloseF  s@      
  
  
  
r$  anyc                 C   s   dd }|S )Nc                 S   s"   t | D ]}| r
 dS q
dS r   rR   r  r"   r"   r#   flat_any  s    znp_any.<locals>.flat_anyr"   )r'   r&  r"   r"   r#   np_any  s    r'  c                 C   sN   |d kst |tjr ddd}n*|d ks4t |tjr@ddd}n
ddd}|S )Nc                 S   s   t | } t | S r&   )rS   r  r   rV   rN   weightsr"   r"   r#   np_average_impl  s    
z#np_average.<locals>.np_average_implc                 S   sv   t | } t |}| j|jkrB|d kr0td|jdkrBtdt |}|dkr\tdt t | || }|S )NzCNumba does not support average when shapes of a and weights differ.r%   z81D weights expected when shapes of a and weights differ.        z)Weights sum to zero, can't be normalized.)rS   r  rm   r!  rj   sumZeroDivisionErrormultiply)rV   rN   r)  sclavgr"   r"   r#   r*    s$    



c                 S   s   t dd S )Nz)Numba does not support average with axis.)r!  r(  r"   r"   r#   r*    s    )NN)NN)NN)rI   r   NoneType)rV   rN   r)  r*  r"   r"   r#   
np_average  s    
r2  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)rI   r   r   r   rS   r   r   )ry   r5  r"   r"   r#   	get_isnan  s
    
r6  c                 C   s   t | rdd S d S )Nc                 S   s   t | jdkS r   rS   r  r   r3  r"   r"   r#   <lambda>      znp_iscomplex.<locals>.<lambda>r
   r3  r"   r"   r#   np_iscomplex  s    r;  c                 C   s   t | rdd S d S )Nc                 S   s   t | jdkS r   r7  r3  r"   r"   r#   r8    r9  znp_isreal.<locals>.<lambda>r:  r3  r"   r"   r#   	np_isreal  s    r<  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"   r3  Ziscmplxr"   r#   r     s    ziscomplexobj.<locals>.implc                    s    S r&   r"   r3  r=  r"   r#   r     s    )determine_dtyperI   r   Optionalrp   rS   
issubdtypecomplexfloating)r4  dtr   r"   r=  r#   iscomplexobj  s    
rC  c                 C   s   dd }|S )Nc                 S   s   t |  S r&   )rS   rC  r3  r"   r"   r#   r     s    zisrealobj.<locals>.implr"   r4  r   r"   r"   r#   	isrealobj  s    rE  c                    s   t |   fdd}|S )Nc                    s    S r&   r"   )numre   r"   r#   r     s    znp_isscalar.<locals>.impl)r   )rF  r   r"   rG  r#   np_isscalar  s    rH  c                    s*   t |rd fdd	}nd fdd	}|S )Nc                    s   t t |  t | S r&   rS   logical_andr  signbitr4  r   fnr"   r#   r     s    zis_np_inf_impl.<locals>.implc                    s   t t |  t | |S r&   rI  rL  rM  r"   r#   r     s    )N)Nr   )r4  r   rN  r   r"   rM  r#   is_np_inf_impl  s    rP  c                 C   s   t dd }t| ||S )Nc                 S   s   | S r&   r"   r3  r"   r"   r#   r8    r9  zisneginf.<locals>.<lambda>r   rP  r4  r   rN  r"   r"   r#   isneginf  s    rS  c                 C   s   t dd }t| ||S )Nc                 S   s   |  S r&   r"   r3  r"   r"   r#   r8    r9  zisposinf.<locals>.<lambda>rQ  rR  r"   r"   r#   isposinf  s    rT  c                 C   s   | |k S r&   r"   r'   r  r"   r"   r#   	less_than  s    rV  c                 C   s   | |kS r&   r"   rU  r"   r"   r#   greater_than  s    rW  c                 C   s   | j dkrtdd S )Nr   z3zero-size array to reduction operation not possible)r   rk   r   r"   r"   r#   check_array"  s    
rX  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   )
rS   r  rX  rT   r   r   rU   r   r   r   r'   rV   r   
return_valr   rX   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   )rS   r  rX  rT   r   r   rU   r   rY  r[  r"   r#   r   ;  s    



r"   )r\  is_complex_dtyper   r"   r[  r#   nan_min_max_factory(  s    r^  )r]  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  )r4  yr  r  r  r"   r"   r#   _isclose_itemX  s    r`  c                 C   s   t | rt |stdt| tjr<t|tjr<d
dd}nRt| tjr`t|tjr`ddd}n.t| tjrt|tjrddd}n
dd	d}|S )Nz+Inputs for `np.isclose` must be array-like.r	  r
  Fc           	      S   sV   |  d}|}tt|tj}tt|D ]}t|| ||||||< q,| | jS Nr   r   rS   zerosr?   r   r,   r`  rm   	r'   r  r  r  r  r4  r_  r   r(   r"   r"   r#   isclose_implj  s    
zisclose.<locals>.isclose_implc           	      S   sV   | }| d}tt|tj}tt|D ]}t||| |||||< q,| |jS ra  rb  rd  r"   r"   r#   re  s  s    
c                 S   s   t | j|j}t | |}t ||}t jt|t jd}tt ||fD ](\}	\}
}t	|

 |
 |||||	< qNt ||S Nry   )rS   broadcast_shapesrm   broadcast_torc  r?   r   r   rT   r`  rU   )r'   r  r  r  r  rm   a_b_r   r(   r  r  r"   r"   r#   re  |  s    
c                 S   s   t | ||||S r&   )r`  r  r"   r"   r#   re    s    )r	  r
  F)r	  r
  F)r	  r
  F)r	  r
  F)r
   r   rI   r   r   r#  )r'   r  r  r  r  re  r"   r"   r#   isclosed  s    
rl  c                 C   s"   t | }t|tjrtS tS d S r&   )r>  rS   r@  rA  complex_nanminreal_nanminr'   rB  r"   r"   r#   	np_nanmin  s    rp  c                 C   s"   t | }t|tjrtS tS d S r&   )r>  rS   r@  rA  complex_nanmaxreal_nanmaxro  r"   r"   r#   	np_nanmax  s    rs  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%   )rS   rT   rU   divide)r'   rW   countr   rX   r   r"   r#   nanmean_impl  s    
z np_nanmean.<locals>.nanmean_implrI   r   r   r6  ry   )r'   rx  r"   rw  r#   
np_nanmean  s
    
rz  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 rt  )rS   nanmeanrT   rU   r   r   ru  )r'   r   r   rv  r   rX   r   rw  r"   r#   nanvar_impl  s    

znp_nanvar.<locals>.nanvar_implry  )r'   r|  r"   rw  r#   	np_nanvar  s
    
r}  c                 C   s   t | tjsd S dd }|S )Nc                 S   s   t | d S r   )rS   nanvarr   r"   r"   r#   nanstd_impl  s    znp_nanstd.<locals>.nanstd_implr   )r'   r  r"   r"   r#   	np_nanstd  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||7 }q|S r&   rR   r'   rW   r   rX   r   rZ   r"   r#   nansum_impl  s    
znp_nansum.<locals>.nansum_implrI   r   r   ry   Integerr.   r6  )r'   r   r  r"   r  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&   rR   r  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&   )rS   r   r   r"   r"   r#   r8    r9  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rI   r   r   ry   r"  r  r6  )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&   )rS   r   r   r"   r"   r#   r8  $  r9  znp_nancumsum.<locals>.<lambda>r   c                    sD   t | j}}t| jD ]"\}} | r6||7 }|||< q|S r&   r   r   r  r   rZ   r"   r#   nancumsum_impl*  s    

z$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?   rk   r'   rV   r"   r"   r#   prepare_ptp_input6  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   rv   r"   r#   r   F  s    z+_compute_current_val_impl_gen.<locals>.implc                    s    || r|S | S r&   r"   r  r  r"   r#   r   N  s    )rI   r   r   )rv   r  r   r   r"   r  r#   _compute_current_val_impl_gen?  s    r  c                 C   s   d S r&   r"   r  r"   r"   r#   _compute_a_maxS  s    r  c                 C   s   d S r&   r"   r  r"   r"   r#   _compute_a_minW  s    r  c                 C   s   t tj| |S r&   )r  operatorgtr  r"   r"   r#   _compute_a_max_impl[  s    r  c                 C   s   t tj| |S r&   )r  r  ltr  r"   r"   r#   _compute_a_min_impl`  s    r  c                 C   s   d S r&   r"   r   r"   r"   r#   _early_returne  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)rS   r   r   r   nanr  ZUNUSEDr"   r#   r   m  s
    z _early_return_impl.<locals>.implc                    s    t | rdt jfS d fS d S r   )rS   r   r  r  r  r"   r#   r   v  s    

c                    s   d fS r   r"   r  r  r"   r#   r   |  s    )rI   r   r   r   )r   r   r"   r  r#   _early_return_impli  s    r  ptpc                 C   s,   t | dr t| jtjr tddd }|S )Nry   +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'   rV   Za_flata_mina_maxr(   r   Ztake_branchretvalr"   r"   r#   np_ptp_impl  s    
znp_ptp.<locals>.np_ptp_impl)hasattrrI   ry   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    )rS   r   rU  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mid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%   ri   N)r  r  )	temp_arrynr  r  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   )flattenrm   r  )r'   r  r  r"   r"   r#   median_impl)  s    
znp_median.<locals>.median_implr   )r'   r  r"   r"   r#   	np_median$  s    r  c                 C   s  t | }|dkr.tjt || d tjd}ntjt |tjd}tt |D ]`}|| }|dkrt| }tt|  rt| rtj	}n|dkrJt
| }tt|  rt| tjk}t| tj k}|||  }	|	dkrtj	}|dkr|dkrtj	}|dkr$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   rg  d   ri         Y@)r  r  r  )r?   rS   ro   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_finiterankfr   lowerupperr"   r"   r#   _collect_percentiles_inner3  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?   rS   r%  r  )r'   nan_maskskip_nanr   r"   r"   r#   _can_collect_percentilesh  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)rj   r   r,   rS   r   r%  )r  q_upper_boundvalidr(   r"   r"   r#   check_validy  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  rk   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 rf  )
rS   r  r   r  r   r  r  ro   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)r>  rS   r@  rA  r   rI   r   r#  r"  r   rj   )r'   r  r  r  r  rB  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 ]$}| } |s|||< |d7 }q|dkrRt jS t||S Nr   r%   )rS   r   r   ry   rT   rU   r  r  )r'   r  r  r   rX   rw  r"   r#   nanmedian_impl  s    
z$np_nanmedian.<locals>.nanmedian_implry  )r'   r  r"   rw  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%   )rS   
empty_likendindexrm   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 )Nrg  r   r   r%   )	rS   r  r.   r  rm   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  astyperS   r   rj   rk   r%  r  rm   r  ndenumerateunique)r'   r  r  r   indexr   r"   r"   r#   
valid_kths"  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)ry   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_implS  s
    

z'np_partition.<locals>.np_partition_impl
rI   r   r   SequencerL   r!  rj   r~   r"  r  )r'   r  kthdtr  r"   r"   r#   np_partitionE  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	  ry   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_impll  s
    

z-np_argpartition.<locals>.np_argpartition_implr  )r'   r  r  r  r"   r"   r#   np_argpartition^  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   rg  r%   )r   rS   r   r   r,   r   )NMr  rm   r   r(   m_maxr"   r"   r#   	_tri_implz  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%   rg  )rj   r   r?   rS   r   ry   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  rg  rS   trirm   r  uintwhere
zeros_likery   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$  r   r  Zm_2dr"   r"   r#   np_tril_impl_1d  s    z my_tril.<locals>.np_tril_impl_1dc                 S   sv   t j| jd | jd |dt j}t | jd d }t | }t j|| jd}|D ]}t 	|| | |||< qV|S r  
rS   r  rm   r  r  r  r  r!  ry   r   r   r  r#  r   zZzero_optselr"   r"   r#   np_tril_impl_multi  s    $
z#my_tril.<locals>.np_tril_impl_multir%   ri   )r   )r   )r   rj   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  rS   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   r1  r"   r"   r#   np_tril_indices  s    



r3  c                 C   s*   t |d | jdkrtdddd}|S )Nr  ri   input array must be 2-dr   c                 S   s   t j| jd || jd dS Nr   r%   )r  r   )rS   tril_indicesrm   rV   r  r"   r"   r#   np_tril_indices_from_impl  s    z7np_tril_indices_from.<locals>.np_tril_indices_from_impl)r   r   rj   r   )rV   r  r8  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  rg  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%   ri   )r   )r   )r   rj   r<  )r   r  r=  r>  r"   r"   r#   my_triu  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 dt j| ||d d S )Nr%   r-  r.  r0  r"   r"   r#   np_triu_indices_impl  s    z-np_triu_indices.<locals>.np_triu_indices_impl)r   Nr2  )r  r  r   r@  r"   r"   r#   np_triu_indices  s    



rA  c                 C   s*   t |d | jdkrtdddd}|S )Nr  ri   r4  r   c                 S   s   t j| jd || jd dS r5  )rS   triu_indicesrm   r7  r"   r"   r#   np_triu_indices_from_impl  s    z7np_triu_indices_from.<locals>.np_triu_indices_from_impl)r   r9  )rV   r  rC  r"   r"   r#   np_triu_indices_from  s
    


rD  c                 C   s   d S r&   r"   rV   r"   r"   r#   _prepare_array  s    rF  c                 C   s"   | d t jfkrdd S dd S d S )Nc                 S   s
   t dS )Nr"   rS   arrayrE  r"   r"   r#   r8  &  r9  z%_prepare_array_impl.<locals>.<lambda>c                 S   s   t |  S r&   )r  r   rE  r"   r"   r#   r8  (  r9  r   nonerE  r"   r"   r#   _prepare_array_impl#  s    rK  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   ry   ztype has no dtype attr)rI   r   r#  r"  r	   r~   rS   r   r!  r  ry   )ZinobjobjlrB  r"   r"   r#   _dtype_of_compound+  s    rO  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%   rg  )rF  ry   r?   rS   r   diff)
aryto_endto_beginstartr  end	out_dtyper   	start_idxZmid_idxr"   r"   r#   np_ediff1d_implV  s$    z#np_ediff1d.<locals>.np_ediff1d_impl)NN)
rI   r   r   ry   r"  r   rO  r   rS   can_cast)rQ  rR  rS  Zary_dtZto_begin_dtZ	to_end_dtr   rX  r"   r"   r#   
np_ediff1d<  s$    
rZ  c                 C   s   d S r&   r"   rE  r"   r"   r#   _select_elementt  s    r[  c                 C   s0   t | dd dk}|r dd }|S dd }|S d S )Nrj   r   c                 S   s$   t jd| jd}| |d d < |d S )N)r%   rg  r   )rS   rH  ry   )rV   r4  r"   r"   r#   r   |  s    z"_select_element_impl.<locals>.implc                 S   s   | S r&   r"   rE  r"   r"   r#   r     s    r~   )rV   Zzerodr   r"   r"   r#   _select_element_implx  s    r]  c                 C   s   d S r&   r"   )dxr4  r"   r"   r#   _get_d  s    r_  c                 C   s   t | rdd }ndd }|S )Nc                 S   s
   t |S r&   rS   r  r4  r^  r"   r"   r#   r     s    zget_d_impl.<locals>.implc                 S   s   t t | S r&   )rS   rP  r  ra  r"   r"   r#   r     s    rO  )r4  r^  r   r"   r"   r#   
get_d_impl  s    
rb  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          @)rS   r  r_  rE   r,  r[  )r_  r4  r^  ZyarrdZy_averet	processedr"   r"   r#   r     s    

(znp_trapz.<locals>.impl)Nr  )rI   r   r#  r"  r   r   rj   )r_  r4  r^  r   r"   r"   r#   np_trapz  s    

rg  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   )rm   r?   r   r,   rS   r.  )r4  r  
increasingr   r   r  r(   r"   r"   r#   
_np_vander  s    

,ri  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)rj   rk   )r4  r  r"   r"   r#   _check_vander_params  s    
rj  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 rf  )r?   rj  rS   r   r  ri  )r4  r  rh  r   rg  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 rf  )r?   rS   rH  rj  r   r  ry   ri  )r4  r  rh  x_arrr   r"   r"   r#   np_vander_seq_impl  s    

z%np_vander.<locals>.np_vander_seq_impl)NF)NF)r   rJ  rI   r  r   r   r	   ry   rS   promote_typesr  rL   r  )r4  r  rh  rk  rm  x_dtr"   rg  r#   	np_vander  s    

rp  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 rf  )rS   r  r   rm   ry   r   r,   r   )r'   shiftrV   r   arr_flatr(   r   r"   r"   r#   np_roll_impl  s    
znp_roll.<locals>.np_roll_implc                 S   s
   t | S r&   r`  )r'   rq  r"   r"   r#   r8  
	  r9  znp_roll.<locals>.<lambda>)rI   r   r  r"  r   r#  )r'   rq  rs  r"   r"   r#   np_roll  s    rt     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      rh   ri   )LIKELY_IN_CACHE_SIZE)keyrV   lengthguessiminimaxr(   Zimidr"   r"   r#   binary_search_with_guess	  sL    




r}  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%   
fill_valuery   rg  r  r+  r   )rS   r  r?   rk   r   ro   rm   r   r,   r   r   r   r   r}  )r4  xpfpry   dzr^  dydreslenxlenxplvalrvalxp_valfp_valr(   x_valr  slopesZinv_dxr   r   sloper"   r"   r#   np_interp_impl_complex_innerZ	  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$|| }n(||d  ||  ||d  ||   }||||   ||  |j
|< t |j
| rn||||d    ||d   |j
|< t |j
| rn|| ||d  krn|| |j
|< qn|S )Nrg  r   r~  r  r%   r  r   )rS   r  r   r?   rk   r   ro   rm   r   r,   r   r   r}  )r4  r  r  ry   r  r^  r  r  r  r  r  r  r  r  r(   r  r  r  r  r"   r"   r#   np_interp_impl_inner	  sf    




2




(&(r  c                    s   t |dr|jdkrtdt |dr8|jdkr8tdd}t|}t|tjrZt|t|}t|tj t tjrt	nt
 fdd} fdd	}t| tjrt| tjrt||S |S )
Nrj   r%   zxp must be 1Dzfp must be 1Dz:Cannot cast array data from complex dtype to float64 dtypec                    s   | || S r&   r"   r4  r  r  ry   rw   r"   r#   np_interp_impl<
  s    z!np_interp.<locals>.np_interp_implc                    s   | || j d S r   r   r  r  r"   r#   np_interp_scalar_impl?
  s    z(np_interp.<locals>.np_interp_scalar_impl)r  rj   r   r>  rS   r@  rA  result_typer   r  r  rI   r   r#  r   )r4  r  r  Zcomplex_dtype_msgZxp_dtZfp_dtr  r  r"   r  r#   	np_interp!
  s*    r  c                 C   s`   | j dkst| j\}}tj|df| jd}t|D ]&}t| |d d f | ||df< q4|S )Nri   r%   rg  r   )rj   r   rm   rS   r   ry   r,   r,  )r'   r   r  r   r(   r"   r"   r#   row_wise_averageM
  s    
$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+  )rm   r   r  rS   dotr   Tr  )XbiasddoffactrW   r"   r"   r#   np_cov_impl_innerZ
  s    
r  c                   C   s   d S r&   r"   r"   r"   r"   r#   _prepare_cov_input_inners
  s    r  c                 C   s$   |d t jfkrdd }ndd }|S )Nc                 S   s   t t| }|s|j}|S r&   )rS   
atleast_2dr  r  )r   r_  rowvarry   m_arrr"   r"   r#   r  z
  s    z9_prepare_cov_input_impl.<locals>._prepare_cov_input_innerc                 S   s   t t| }t t|}|sH|jd dkr4|j}|jd dkrH|j}|j\}}|j\}}	||	krltdt j|| |f|d}
||
d |d d f< ||
| d d d f< |
S )Nr   r%   z$m and y have incompatible dimensionsrg  )rS   r  r  rm   r  rk   r   )r   r_  r  ry   r  y_arrZm_rowsZm_colsZy_rowsZy_colsr   r"   r"   r#   r  
  s    

rI  )r   r_  r  ry   r  r"   r"   r#   _prepare_cov_input_implw
  s    
r  c                 C   s(   | j dkr$| jd dkr$d}t|d S )Nri   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].)rj   rm   r   )r   r   r"   r"   r#   _handle_m_dim_change
  s    r  c                 C   s   | S r&   r"   r3  r"   r"   r#   r8  
  r9  r8  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 )Nrv  c                    s   g | ]}  |qS r"   )add).0rX   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     )rS   r   rI   r   r   r	   ry   r#  r"  r@   rL   setr  r  r?   rn  rn   )
array_likeZarray_like_dtr   r"   r  r#   r>  
  s     

r>  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 )Nri   z{0} has more than 2 dimensionsr   )rI   r   r   rj   r!  formatr  rx  )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)rS   r  rk   r  )r  r"   r"   r#   _handle_ddof
  s    
r  c                 C   s   | S r&   r"   r3  r"   r"   r#   r8  
  r9  c                 C   s   ||  || t | |||S r&   )r  )r   r_  r  ry   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&   )rI   r   r#  r"  r  r4  r"   r"   r#   	<genexpr>
  s   z)scalar_result_expected.<locals>.<genexpr>r   TF)r   rJ  rI   r   rj   	BaseTupler  r?   r#  r"  r  rx  )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  )rS   r   fabssignr3  r"   r"   r#   
_clip_corr
  s    r  c                 C   s    t | j}t | j}|d|  S )Nr  )r  r   r   )r4  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   r_  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   r  )	r  r  rS   r%  rH  rm   ro   r  r  )r   r_  r  r  r  r  r  r  ry   r"   r#   np_cov_impl"  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  rS   r%  rH  rm   r  r  r   )r   r_  r  r  r  r  variancer  r"   r#   np_cov_impl_single_variable,  s    z+np_cov.<locals>.np_cov_impl_single_variable)NTFN)NTFN)r  r   rJ  _handle_ddof_noprI   r  r"  r   r  r   _handle_m_dim_nopr   r  r>  rS   r  r   r  )	r   r_  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   )rS   covdiagsqrtr   r,   rm   )r4  r_  r  rW   rd  stddevr(   Zclip_fnr"   r#   np_corrcoef_implJ  s    
z%np_corrcoef.<locals>.np_corrcoef_implc                 S   s   t | ||}|| S r&   )rS   r  )r4  r_  r  rW   r"   r"   r#    np_corrcoef_impl_single_variableU  s    z5np_corrcoef.<locals>.np_corrcoef_impl_single_variable)NT)NT)r>  rS   r  r   complex_r  r  r  )r4  r_  r  ro  r  ry   r  r  r"   r  r#   np_corrcoef>  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%   rg  )	rS   r  rm   rc  r   r.   r   vstackr/  r  r"   r"   r#   r   j  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 rf  )boolrS   rc  r   r.   r   ZfalseishZtrueishr"   r#   r   s  s    )rI   r   r#  r"  r
   )r'   Z
use_scalarr   r"   r  r#   np_argwherec  s    
r  c                 C   s   t | rdd }ndd }|S )Nc                 S   s   t | }t t |d S r   )rS   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>rg  )r  r,   rS   rH  r   r.   )r'   r9   r"   r"   r#   r     s    r:  )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 )Nri   r   r%   z/All dimensions of input must be of equal lengthr   )rj   rm   r   rS   rH  r  rP  rk   r   r,  r   )r'   wrapr   r  steprU  rm   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  rU  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  rU  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)rS   iinfory   r   r   r%  r  rk   )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  )rS   finfory   r   r   r  r%  rk   )r'   r   r  r  r  finite_valsr"   r"   r#   _check_val_float  s    r  c                 C   s   | S r&   r"   r4  r_  r"   r"   r#   r8    r9  c                 C   s   d S r&   r"   r3  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"   r3  r"   r"   r#   r8    r9  z_asarray_impl.<locals>.<lambda>c                 S   s
   t | S r&   rG  r3  r"   r"   r#   r8    r9  c                    s   t j| g dS rf  rG  r3  r  r"   r#   r8    r9  )rI   r   r   r  rL   r#  r"  r	   r3  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  Z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)rj   rI   ry   r   r  r  r   r  
_check_nopr"  rL   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   )r4   r*   modulellvmliteirFunctionTyper   get_or_insert_functionr  callr   r`   )rc   r2   rd   r4   r   r  lltyr  fntyrN  re   r"   r"   r#   r>     s    

z _np_round_float.<locals>.codegenr"   )	typingctxr   rd   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  )r4  ndigitspow1pow2r_  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   B  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   I  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   P  s    
c                 S   s   t | ||d< |S r   )rS   roundr  r"   r"   r#   r   Z  s    c                 S   s   t | }t | ||S r&   )rS   r  r  r  r"   r"   r#   r   `  s    
c                 S   s<   | j |j krtdt| D ]\}}t||||< q|S )Nzinvalid output shape)rm   rk   rS   r  r  )r'   r  r   r  r   r"   r"   r#   r   e  s
    )r   N)r   N)r   N)r   N)r   N)r   N)	r
   r   rI   r   r   r   r   r  r   )r'   r  r   r   r   r"   r"   r#   impl_np_round5  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;)rS   pisinr3  r"   r"   r#   r   q  s    
zimpl_np_sinc.<locals>.implc                 S   s0   t | }t | D ]\}}t |||< q|S r&   )rS   r!  r  sinc)r4  r   r  r   r"   r"   r#   r   x  s    
z,Argument "x" must be a Number or array-like.)rI   r   r#  r   r   rD  r"   r"   r#   impl_np_sincn  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&   )rS   arctan2r   r   )r)  deg)deg_multr"   r#   r     s    zov_np_angle.<locals>.implc                    s6   t j|  d}t | D ]\}}t ||||< q|S rf  )rS   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)floatrS   r  rI   r   r#  r   ry   r   underlying_floatr   r   )r)  r  r   ry   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   	_getvalue)r  r(   r2   rc   	out_shapeoutarytyr"   r#   r    s   z!array_nonzero.<locals>.<listcomp>c                    s   g | ]}t  |qS r"   )r   r  r   )r2   rc   r  r"   r#   r    s     c                 S   s   g | ]
}|j qS r"   )r9   r  r"   r"   r#   r    s     r"   C)r4   r`   ry   rv  r   r   unpack_tuplerm   stridesr9   layoutr-   r   r.   alloca_once_value	loop_nestrp   get_item_pointer2r   is_trueif_thenstorer  loadr,   r   
make_tupler   )rc   r2   rd   r4   arytyr   ZnoutsrQ  rm   r  r9   r  rZ   r  rv  indicesptrr   nzoutsZoutarysZ	out_datasr  curr(   r6   r"   r  r#   array_nonzero  sd    
 . 
  (r%  c                    s    fdd}|S )Nc                    s,   t | }t | }| r(|S |S r&   )rS   r  r  )	conditionr4  r_  x_y_rg  r"   r#   r     s    z)_where_zero_size_array_impl.<locals>.implr"   )ry   r   r"   rg  r#   _where_zero_size_array_impl  s    r)  c                 C   s0   t | D ] \}}|r|| n|| ||< q
|S r&   )rS   r  )condr4  r_  re   r   rW   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*  r4  r_  re   cf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 )Nr0  r   rg  )	rS   r  rh  rm   ri  r   r  r/  r+  )r&  r4  r_  cond1x1y1rm   Zcond_r'  r(  re   ry   r  Zuse_faster_implr"   r#   r     s    "z!_where_generic_impl.<locals>.implr"   )ry   r  r   r"   r4  r#   _where_generic_impl  s    r5  c                 C   s    t | sd}t|dd }|S )N+The argument "condition" must be array-likec                 S   s   t |  S r&   )rS   r  r/  )r&  r"   r"   r#   where_cond_none_none  s    z)ov_np_where.<locals>.where_cond_none_none)r
   r   )r&  r   r7  r"   r"   r#   ov_np_where  s
    r8  c                    s.  t | sd}t|t|s$t|r,tdt||fdD ]"\}}t |s:d}t||q:t| tj}t|tj}t|tj}|rt|}	t|}
t	
|	|
}dd  t fdd| ||fD }|rt|S | j}|r|r|j|j  kr| jkrn n|j}nd	}t||S d
d }|S d S )Nr6  z"Argument "x" or "y" cannot be Noner  z0The argument "{}" must be array-like if providedc                 S   s"   t | tjp t | tjo | jdkS r   )rI   r   r#  r   rj   argr"   r"   r#   check_0_dim;  s    z$ov_np_where_x_y.<locals>.check_0_dimc                    s   g | ]} |qS r"   r"   )r  r'   r;  r"   r#   r  >  s     z#ov_np_where_x_y.<locals>.<listcomp>r  c                 S   s    t t | t |t |S r&   )rS   r   r  )r&  r4  r_  r"   r"   r#   r   J  s    zov_np_where_x_y.<locals>.impl)r
   r   r   zipr  rI   r   r   r>  rS   rn  r  r)  r  r5  )r&  r4  r_  r   r:  r  Zcond_arrrl  r  ro  r  ry   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_implQ  s    znp_real.<locals>.np_real_implr"   )r'   r?  r"   r"   r#   np_realO  s    r@  c                 C   s   dd }|S )Nc                 S   s   | j S r&   )r   r   r"   r"   r#   np_imag_implY  s    znp_imag.<locals>.np_imag_implr"   )r'   rA  r"   r"   r#   np_imagW  s    rB  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   )rS   rT   )rV   rx  r4  r"   r"   r#   np_contains_implg  s    z%np_contains.<locals>.np_contains_implr   )rV   rx  rC  r"   r"   r#   np_containsb  s    rD  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   )rS   r   r,  rV   rN   arr2r"   r"   r#   r   v  s    
znp_count_nonzero.<locals>.implc                 S   s   |  tj}tj||dS )N)rN   )r  rS   r   r,  rE  r"   r"   r#   r   {  s    )N)N)r
   r   r   )rV   rN   r   r"   r"   r#   np_count_nonzerop  s    

rG  c                 C   s   | S r&   r"   r3  r"   r"   r#   r8    r9  c                 C   s
   t | S r&   r`  r3  r"   r"   r#   r8    r9  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 )Nrg  F)rS   r   r  r   onesr   )rV   rM  r  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%   )rS   r   r  r   
IndexErrorconcatenate)rV   rM  r  posr"   r"   r#   np_delete_scalar_impl  s    z(np_delete.<locals>.np_delete_scalar_impl)
rI   r   r   r  r   	SliceTypenp_delete_handler_isslicery   r  np_delete_handler_isarray)rV   rM  rL  rP  r"   rJ  r#   	np_delete  s    rT  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 ]$}	|||	d f |||	f  ||	< qt	d|D ]2}
t	||
 d D ]}	||	d  ||	  ||	< qq|d ||  ||< q|S )Nr   z"diff(): order must be non-negativer   r%   )
r  rk   rm   r   rS   r   ry   r   r   r,   )r'   r  r   r  r   a2Zout2workmajorr(   niterr"   r"   r#   	diff_impl  s(    

"znp_diff_impl.<locals>.diff_impl)r%   )rI   r   r   rj   )r'   r  rY  r"   r"   r#   np_diff_impl  s    
rZ  c                 C   sN   t | rt |stdtjtjf}t| |rBt||rBdd }ndd }|S )Nz3Both arguments to "array_equals" must be array-likec                 S   s   | |kS r&   r"   rU  r"   r"   r#   r     s    znp_array_equal.<locals>.implc                 S   s2   t | } t |}| j|jkr.t | |kS dS r   )rS   r  rm   r  rU  r"   r"   r#   r     s
    

)r
   r   r   r"  r#  rI   )r'   r  acceptedr   r"   r"   r#   np_array_equal  s    
r\  c                 C   s$   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   )rS   r  r  rN  sort)ar1ar2auxr#  int1dr"   r"   r#   np_intersects1d_impl  s    



z0jit_np_intersect1d.<locals>.np_intersects1d_implr
   r   )r^  r_  rb  r"   r"   r#   jit_np_intersect1d  s    rd  c                 C   sD   t |tjr&|jdkr@td| nt |tjs@td| d S )Nr%   z${0}(): input should have dimension 1z+{0}(): input should be an array or sequence)rI   r   r   rj   r!  r  r  )	func_nameseqr"   r"   r#   validate_1d_array_like  s    
rg  c                    s   t d|  t| jtjsd S t|d |d tjfkr^t d| tjt	dd t	dd  ntj
t	dd t	dd  d fd
d	}|S )Nbincount	minlengthc                 S   s   t | t |krtdd S )Nz7bincount(): weights and list don't have the same length)r?   rk   r'   r)  ri  r"   r"   r#   validate_inputs!  s    z$np_bincount.<locals>.validate_inputsc                 S   s   | |  || 7  < d S r&   r"   r   r   r   r)  r"   r"   r#   
count_item'  s    znp_bincount.<locals>.count_itemc                 S   s   d S r&   r"   rj  r"   r"   r#   rk  .  s    c                 S   s   | |  d7  < d S r  r"   rl  r"   r"   r#   rm  2  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)rk   r?   r,   r   rS   rc  )r'   r)  ri  r  r  r(   Z
out_lengthr   rm  rV  rk  r"   r#   bincount_impl6  s    z"np_bincount.<locals>.bincount_impl)Nr   )rg  rI   ry   r   r  r   rJ  rS   r   r   r.   )r'   r)  ri  ro  r"   rn  r#   np_bincount  s$    





rp  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%   )rS   r   r,   )r'   rX   v_lastlohir  r(   r  funcr"   r#   searchsorted_innerM  s    


z)_searchsorted.<locals>.searchsorted_innerr"   )ru  rv  r"   rt  r#   _searchsortedL  s    .rw  c                 C   s   | |kS r&   r"   r  r"   r"   r#   r8    r9  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 )NrK   rx  rightz Invalid value given for 'side': c           
         sn   t | }d}|}t|jtj}|jd }t||fD ]0\}}	 | | ||||}| }|	| q8|S r   )	r?   rS   r   rm   r.   r   rT   rU   itemset)
r'   rX   sider  rr  rs  r   rq  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?   rS   r   r.   r,   )	r'   rX   r{  r  rr  rs  r   rq  r(   r}  r"   r#   r~    s    
c                    s   t | } | ||d||S r   )r?   )r'   rX   r{  r  r}  r"   r#   r~    s    )rx  )rx  )rx  )r~   _searchsorted_left_searchsorted_rightr   rI   r   r   r  )r'   rX   r{  Zside_valr~  r"   r}  r#   searchsorted  s    r  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,   rk   )binsr  is_increasingZis_decreasingprevr(   r$  r"   r"   r#   are_bins_increasing  s    z(np_digitize.<locals>.are_bins_increasingc                 S   s   t |}d}|}|rt| rNt|ddD ]}t||d  s*|  S q*dS ||kr|| d? }|| | k rx|d }qN|}qNn>t| r|S ||kr|| d? }|| | kr|d }q|}q|S )Nr   r   r%   r?   rS   r   r,   r4  r  ry  r  rr  rs  r(   r  r"   r"   r#   digitize_scalar  s,    




z$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  r  r  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&   )rS   r   rm   r.   rT   rU   rz  )r4  r  ry  r  r   r   r|  r  r  r  r  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&   )rS   r   r?   r.   r,   )r4  r  ry  r  r   r(   r  r"   r#   r  '  s    )F)F)r   rI   r   r   r  )r4  r  ry  r  r"   r  r#   np_digitize  s    

%
$
r  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 ]$}| }||kr,|}||k r|}qt | |||fS r&   )rS   rT   rU   	histogram)r'   r  r,   bin_minbin_maxr   rX   r  r"   r#   histogram_impl@  s    z$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%   )
rk   rS   rc  r.   rT   rU   r  r  r  linspace)r'   r  r,   r  r  histZ	bin_ratior   rX   r  Z
bins_arrayr"   r"   r#   r  L  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?   _rangerk   rS   rc  r.   rT   rU   )r'   r  r,   nbinsr(   r  r  r  r   rX   rr  rs  r  r"   r"   r#   r  f  s*    

)r  N)r  N)r  N)rI   r  r   r  rJ  r  )r'   r  r,   r  r"   r  r#   np_histogram7  s    
!r  )ibetar   machepepsnegepepsnegiexpminexpxminmaxexpxmaxirndngrdepsilontinyhuge	precision
resolutionMachAr)r  r  r  r  r   r  r   r  r  nexpnmantr  r  r  bitsr  )r   r   r  r  c               	      sh   t dkrd S t dk 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%      )r%   r  T)recordz(`np.MachAr` is deprecated \(NumPy 1.22\)alwaysz.*numba.*arraymath)messagecategoryr  c                     sX    t fddtD  rHrHd } t| jjd t| j| j  fdd}|S )Nc                    s   g | ]}t  |qS r"   r\  r  r  r"   r#   r    s     z7_gen_np_machar.<locals>.MachAr_impl.<locals>.<listcomp>r   c                      s   t   S r&   )r  r"   )_mach_ar_datar"   r#   r     s    z1_gen_np_machar.<locals>.MachAr_impl.<locals>.impl)	r  _mach_ar_supportedwarningswarn_explicitr  r4   r   filenamelineno)wmsgr   Z	np122plusZ	np_MachArw)r  r  r#   MachAr_impl  s    z#_gen_np_machar.<locals>.MachAr_impl)r   r  catch_warningsfilterwarningsDeprecationWarningrS   r  r   )r   r  r"   r  r#   _gen_np_machar  s    r  c                    s   t  fdd}d S )Nc                    s`   t | d| }t|}z|W n tk
r6   Y d S X tfddD   fdd}|S )Nry   c                    s   g | ]}t  |qS r"   r\  r  r  r"   r#   r    s     z6generate_xinfo.<locals>.xinfo_impl.<locals>.<listcomp>c                    s     S r&   r"   r9  )	containerr9   r"   r#   r     s    z0generate_xinfo.<locals>.xinfo_impl.<locals>.impl)r~   r	   rk   r  )r:  Znbtynp_dtyper   attrr  np_func)r9   r  r#   
xinfo_impl  s    z"generate_xinfo.<locals>.xinfo_impl)r   )r  r  r  r  r"   r  r#   generate_xinfo  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&   )rS   r  r  rU  rB  r"   r#   	_dot_wrap  s    z"_get_inner_prod.<locals>._dot_wrap)r   
_HAVE_BLASr   real_domaincomplex_domainr	   rS   rn  )dtadtbr  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 )rI   r   r   rj   r   )r'   re  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   e Zd ZdZdZdZdZdS )_corr_conv_Modez
    Enumerated modes for correlate/convolve as per:
    https://github.com/numpy/numpy/blob/ac6b1a902b99e340cf7eeeeb7392c91e38db9dd8/numpy/core/numeric.py#L862-L870    # noqa: E501
    r   r%   ri   N)__name__
__module____qualname____doc__VALIDZSAMEFULLr"   r"   r"   r#   r    s   r  c                    sF   t | j}t |j}t||t| j|jt  fdd}|S )Nc                    s  | j ks| jkstdt| }t|}|}|}| j krT|| d }d}d}	n0| jkr||d }	|d }|| d }ntdt|}
|| }|dkrd}d}n|dkr|d }d}ntdt|D ]4}| d |d  ||d  d  |
|< || }qt|| d D ](}| |||  ||
|< || }qt|	ddD ].}| | d  |d | |
|< || }qL|
S )NzInvalid moder%   r   r   zInvalid direction)r  r  rk   r?   rS   rc  r,   )r  r  r  r  n1n2ry  r  Zn_leftZn_rightre  r   incr(   ModerB  Z	innerprodr"   r#   r     sD    	

(
 z%_np_correlate_core_impl.<locals>.impl)r	   ry   rS   rn  r  r  )r  r  r  r  r  r  r   r"   r  r#   _np_correlate_core_impl  s    

4r  c                    s   t | d t |d tdd }tdd }t | jtjkr\|jtjkrR||qz||n|jtjkrr||n|| fdd}|S )Nznp.correlatec                 S   s
   t | S r&   )rS   r   r3  r"   r"   r#   op_conjQ  s    z_np_correlate.<locals>.op_conjc                 S   s   | S r&   r"   r3  r"   r"   r#   op_nopU  s    z_np_correlate.<locals>.op_nopc                    sl   t | }t |}|dkr td|dkr0td||k rPt||  jdS t| | jdS d S Nr   z'a' cannot be emptyz'v' cannot be emptyr   r%   )r?   rk   r  r  r'   rX   lalvr  Za_opZb_opr"   r#   r   j  s    z_np_correlate.<locals>.impl)r  r   r  ry   r   r  )r'   rX   r  r  r   r"   r  r#   _np_correlateL  s(    



r  c                    s(   t | d t |d t  fdd}|S )Nznp.convolvec                    sp   t | }t |}|dkr td|dkr0td||k rRt|| d d d  jdS t| |d d d  jdS d S r  )r?   rk   r  r  r  r  r"   r#   r     s    znp_convolve.<locals>.impl)r  r  )r'   rX   r   r"   r  r#   np_convolvey  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'   ry   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&   rG  r  r"   r"   r#   r     s    c                 S   s   t | |S r&   rG  r  r"   r"   r#   r     s    c                    s   t |  S r&   rG  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 rf  )r?   rS   r   r   )r'   ry   rN  re  r(   rX   )target_dtyper"   r#   r     s
    
c                    s      S r&   )r  r  rE  r"   r#   r     s    )N)N)N)N)N)N)N)r
   rI   r   r   r   ry   r  rL   r#  r"  r	   
containersListTyper   StringLiteralrS   r  rK   )r'   ry   r   Zdt_convr"   )rV   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&   r`  r  r^  r"   r#   r     s    znp_asfarray.<locals>.impl)rI   r   Typer	   rS   r@  inexactr   )r'   ry   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>)	rS   r  r  r   rk   r%  r   r,   rH  )r&  rV   r   max_lenr   r"   r  r#   np_extract_impl  s    

 z#np_extract.<locals>.np_extract_implr"   )r&  rV   r  r"   r"   r#   
np_extract  s    r  c                 C   sN  ddd}t | tjtjfs$tdt |tjtjfs>tdt |ttjtjfsZtdt | d tjsrtdt |d tjstdt | d tjrt | d j	tjstd	t | d tjrt | d tjrt | d d tjstd
t | d tjr | d j
|d j
kr tdt | d tjrJ| d j
dk rJtd|S )Nr   c                 S   sp   t | t |krtd|t|d j|d j }tt | d ddD ]"}| | }|| }t|||}qH|S )Nz7list of cases must be same length as list of conditionsr   r%   r   )r?   rk   rS   rH  rm   ry   r,   r   )condlist
choicelistdefaultr   r(   r*  choicer"   r"   r#   np_select_arr_impl  s    z%np_select.<locals>.np_select_arr_implz"condlist must be a List or a Tuplez$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   )rI   r   Listr@   r   r  r#  r"  r   ry   rj   )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&   )rS   r   r  r  rN  )arr1rF  r'   r  r"   r"   r#   
union_impl,  s    znp_union1d.<locals>.union_impl)r
   r   ry   r  )r  rF  r	  r"   r"   r#   
np_union1d$  s    r
  c                    sn   d}t | tjtjtjfs"t|t|r2| j n*zt| W n t	k
rZ   tdY nX d fdd	}|S )Nz7The argument to np.asarray_chkfinite must be array-likez!dtype must be a valid Numpy dtypec                    s4   t j|  d} t | D ]}t |stdq| S )Nrg  z#array must not contain infs or NaNs)rS   r  rT   r  rk   )r'   ry   r(   r  r"   r#   r   C  s
    

z"np_asarray_chkfinite.<locals>.impl)N)
rI   r   r   r  rL   r   r   ry   r	   r   )r'   ry   r   r   r"   r  r#   np_asarray_chkfinite4  s    r  c                 C   s@   t d|  | d}t t |dd|| d   d|| d   S )Nr  ri   r   r%   )rS   r   r   
less_equalr  r  r"   r"   r#   np_bartlett_implU  s    r  c                 C   sR   t d|  | d}ddt t j| | d    dt dt j | | d    S )Nr  ri   gzG?r   r%   g{Gz?rc  rS   r   cosr  r  r"   r"   r#   np_blackman_impl[  s    r  c                 C   s2   t d|  | d}ddt t j| | d    S )Nr%   ri   gHzG?gq=
ףp?r  r  r"   r"   r#   np_hamming_implb  s    r  c                 C   s2   t d|  | d}ddt t j| | d    S )Nr%   ri   r   r  r  r"   r"   r#   np_hanning_implh  s    r  c                    s    fdd}|S )Nc                    s$   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"   rg  )rS   rH  float_rH  )r  rt  r"   r#   window_impls  s
    z>window_generator.<locals>.window_overload.<locals>.window_impl)rI   r   r  r   )r  r  rt  r"   r#   window_overloado  s    z)window_generator.<locals>.window_overloadr"   )ru  r  r"   rt  r#   window_generatorn  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  )r4  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   rc  g      @@)rS   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 )Nrg  r%   rc  )rS   r  r  r!  r,   r?   r  )r  alphabetar_  tr(   r"   r"   r#   _i0n  s
    0r%  c                 C   s:   t | tjstdt |tjtjfs.tddd }|S )Nr  z beta must be an integer or floatc                 S   sT   | dk rt jdt jdS | dkr0t jdt jdS t d| }| d d }t|||S )Nr%   r"   rg  r   rc  )rS   rH  r  rH  r   r%  )r  r#  r  r"  r"   r"   r#   np_kaiser_impl  s    z!np_kaiser.<locals>.np_kaiser_impl)rI   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   rh   .ri   r   )rm   rS   r.  ry   rp   )r4  x0r2  x2r"   r"   r#   _cross_preprocessing  s    
z._cross_operation.<locals>._cross_preprocessingr(  r)  r*  )rS   r.  )r'   r  r   r-  a0a1rU  r  r  r  cp0cp1cp2r"   r"   r#   _cross_operation  s    	r3  c                 C   s   d S r&   r"   rU  r"   r"   r#   _cross  s    r4  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rh   )rS   r   r3  )r'   r  cprg  r"   r#   r     s    z_cross_impl.<locals>.implc                    s6   t | d |d j}t |d  }t| || |S )Nr(  r5  )rS   r  rm   r   r3  )r'   r  rm   r6  rg  r"   r#   r      s    )rS   rn  r	   ry   rj   r'   r  r   r"   rg  r#   _cross_impl  s
    r8  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   )ri   rh   zDIncompatible dimensions for cross product
(dimension must be 2 or 3)rh   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`.)rS   r  rm   rk   r4  r'   r  rj  rk  r"   r"   r#   r   -  s    


znp_cross.<locals>.implrc  r7  r"   r"   r#   np_cross(  s    r;  c                 C   sB   dd }|| \}}||\}}t ||t || }t |S )Nc                 S   s   | d }| d }||fS )Nr(  r)  r"   )r4  r+  r2  r"   r"   r#   r-  D  s    z0_cross2d_operation.<locals>._cross_preprocessing)rS   r.  r  )r'   r  r-  r.  r/  r  r  r6  r"   r"   r#   _cross2d_operationA  s
    r<  c                 C   s   d S r&   r"   rU  r"   r"   r#   cross2dU  s    r=  c                 C   s$   t | rt |stddd }|S )Nr9  c                 S   sB   t | }t |}|jd dks0|jd dkr8tdt||S )Nr   ri   zRIncompatible dimensions for 2D cross product
(dimension must be 2 for both inputs))rS   r  rm   rk   r<  r:  r"   r"   r#   r   ^  s    

zcross2d_impl.<locals>.implrc  r7  r"   r"   r#   cross2d_implY  s    
r>  )N)N)r	  r
  F)r	  r
  F)NN)N)N)r	  r
  F)F)Nr   )r   )r   )r   N)r   )r   )r   )r   N)r   )NN)Nr  )NF)NTFN)NT)F)r   N)F)N)r%   )Nr   )rx  )F)r  N)N)r   )N(r  r  r  collectionsr   enumr   r  r  llvmlite.irr  numpyrS   
numba.corer   r   numba.core.extendingr   r   r   numba.np.numpy_supportr	   r
   r   r   r   r   numba.core.imputilsr   r   r   r   Znumba.np.arrayobjr   r   r   r   numba.np.linalgr   r   numba.core.errorsr   r   r   r   r   r   numba.cpython.unsafe.tupler   r$   r  rD   rQ   r,  r   rf   rg   rx   r.   	DTypeSpecIntegerLiteralr   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r  r  r  r  r  r  r$  r%  r'  averager2  r6  	iscomplexr;  isrealr<  rC  rE  isscalarrH  rP  rS  rT  rV  rW  rX  r^  rn  rr  rm  rq  r`  rl  nanminrp  nanmaxrs  r{  rz  r~  r}  nanstdr  nansumr  nanprodr  
nancumprodr  	nancumsumr  r  r  r  r  r  r  r  r  r  r  r  r  r  Z_partition_w_nanZ_argpartition_w_nanr  r  r  r  r  r  medianr  r  r  r  r  r  r  r  r  r  nanpercentiler  quantiler  nanquantiler  	nanmedianr  r  r  r  	partitionr  r  r  r  r  r  r  r$  trilr,  r6  r3  tril_indices_fromr:  r<  triur?  rB  rA  triu_indices_fromrD  rF  rK  rO  ediff1drZ  r[  r]  r_  rb  trapzrg  ri  rj  vanderrp  rollrt  rw  r}  r  r  interpr  r  r  r  r  r  r  r>  r  r  r  r  r  r  r  r  r  corrcoefr  argwherer  flatnonzeror  r  r  r  r  r  r  r  r  fill_diagonalr  r  r  r  aroundr  r   r  r  r	  r  r/  r%  r)  r+  r/  r5  r   r8  r>  r   r@  r   rB  containsrD  count_nonzerorG  rR  rS  deleterT  rP  rZ  array_equalr\  intersect1drd  rg  rh  rp  rw  Z_ltZ_ler  r  r  digitizer  r,   r  r  r  r  r  Z_finfo_supportedr  Z_iinfo_supportedr  r  r  r  r  r  r  r  	correlater  convolver  r  r  asfarrayr   r  extractr  selectr  union1dr
  asarray_chkfiniter  r  r  r  r  r  bartlettblackmanhamminghanningrH  r  r   r  r!  r%  kaiserr'  r3  r4  r8  crossr;  r<  r=  r>  r"   r"   r"   r#   <module>   s    	
(
K

A'(









/
/






,



B

$



	



"




)
















1



4












"




7


'DmX+'
:$


 

7

 8



5





.
&



92
.
 
T
?
,

6


2

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