o
    Td0                    @   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ddSdTZ]eej^eej5dUdVdW Z_edd[d\Z`eejaeej5d]dd^d_Zbeejceej5d`dadb Zdeejeddcdd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ddsdtZqeejrddudvZredwdx Zsedydz Zted{d| Zud}d~ ZveevesdZdZweevetdZdZxeevesddZyeevetddZzedd Z{eej|dddZ|eej}dd Z~eejdd Zeejdd Zeejdd Zeejdd Zeejdd Zeejdd Zeejdd Zeejdd Zedd Zdd Zdd Zdd Zeedd Zeedd Zdd Zeedd Zeej5deejdd Zedd Zddd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ddd܄Zeddބ ZedddZeejÃdddZeejŃdddZeejǃdddZedddZeejʃdddZeej̃dddZeej΃dddZdd ZeeЃdd Zdd ZeejӃdddZdd ZeeՃdd Zdd Zee׃dd Zeejكdѐd dZedd Zedd Zeej݃dҐ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$ Zed%d Zed&d' Zd(d) Zed*d+ Zed,d- ZeejdӐd.d/ZeejdԐd0d1Zeejd2d3 Zeejd4d5 Zed6d7 Zed8d9 Zed:d; Zed<d= Z ed>d? Zed@d ZdAdB ZeedCdD Zeejd͐dEdFZdGdH Ze&dIdJ ZedKdL Z	eej
eejdАdMdNZeejdOdP Zeejd͐dQdRZeejej5edSej5dTdU ZdVdW ZedXdY ZedZd[ Zd\d] Zeejd^d_ Zeejd`da Zeejdbdc Zeejddde Zeejdfdg Zeej dʐdhdiZ!edjd Z"edkd Z#eej$dldm Z%eej&dՐdodpZ'eej(dqdr Z)eej*dsdt Z+dudv Z,eej-dΐ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d͐ddZ6e7Z8eej9dא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dʐddZMeejNejOfddZPeejQdd ZReejSdϐddZTeejUdd ZVeejWdʐ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bg dZcebg d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dÄ ZnedĐdń ZodƐdǄ ZpeepdȐdɄ 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 dS  ty   Y dS w NFT)r   ImportError r"   r"   e/home/ncw/WWW/www-new/content/articles/pi-bbp/venv/lib/python3.10/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      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(   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
   
rF   c           	         s   t |tjs
td|j t| krd  }| d }g }|tjg| 7 }|tjg7 }|tjg| 7 }t||||} fdd}||fS )aH  
    Generates a tuple that can be used to index a specific slice from an
    array for sum with axis.  shape_tuple is the size of the dimensions of
    the input array.  'value' is the value to put in the indexing tuple
    in the axis dimension and 'axis' is that dimension.  For this to work,
    axis has to be a const.
    z axis argument must be a constantr   r%   c                    s   |  }t|}|\}}}dd }| ||t g }	td D ]	}
|||	|
}q"||| }t d D ]	}
|||	|
}q:|S )Nc                   S   s
   t d d S r&   )slicer"   r"   r"   r#   create_full_slice      
z<_gen_index_tuple.<locals>.codegen.<locals>.create_full_slicer   r%   )r+   r   r,   r0   r   slice2_typer-   r1   )r2   r3   r4   r5   r6   r7   r9   	value_argrH   
slice_datar(   
axis_valuer=   r?   r"   r#   r@   }   s   


z!_gen_index_tuple.<locals>.codegen)	
isinstancer   Literalr   literal_valuerA   rJ   r/   Tuple)	rC   rD   valueaxisbeforeafter
types_listrE   r@   r"   rM   r#   _gen_index_tupleV   s    	
rX   z	array.sumc                    B   | d  fdd}| j||||t|j dd}t| ||j |S )Nr   c                    s$    }t | D ]}|| 7 }q|S r&   npnditeritem)arrcvzeror"   r#   array_sum_impl      z!array_sum.<locals>.array_sum_implr_   localsreturn_typer0   dictr   contextr3   sigr5   rc   resr"   ra   r#   	array_sum      

ro   c                 C      | S r&   r"   )r^   r`   r"   r"   r#   _array_sum_axis_nop      rr   c                    s    fdd}|S )Nc                    s2  | j }s|dk s|dkrtd||krtdt| j}|| }|| t|| j}t|t}t	|D ]Y}rLt
| j| }|| | 7 }q:|dkr^t
| j|d}	|| |	 7 }q:|dkrpt
| j|d}
|| |
 7 }q:|dkrt
| j|d}|| | 7 }q:|dkrt
| j|d}|| | 7 }q:|dS )a(  
        function that performs sums over one specific axis

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

        typing/arraydecl.py:sum_expand defines the return type for sum with
        axis. It is one dimension less than the input array.
        r      zHNumba does not support sum with axis parameter outside the range 0 to 3.zaxis is out of bounds for arrayr%      )ndim
ValueErrorlistshapepoprF   r[   fulltyper-   rX   )r^   rT   rv   ashapeaxis_lenashape_without_axisresult
axis_indexindex_tuple_genericindex_tuple1index_tuple2index_tuple3index_tuple4const_axis_valis_axis_constoprb   r"   r#   inner   s>   


z gen_sum_axis_impl.<locals>.innerr"   )r   r   r   rb   r   r"   r   r#   gen_sum_axis_impl   s   =r   c                    s  |j }t|d|d}t|dd d u rtj}nt}|j\}}}	d}
d}t|tjrb|j	}|dk r5|j
| }|dk s>||j
krBtd| j|}| ||}|d ||d f}|j|||	gd}d}
t|
|||}t|  fd	d
}| ||||}t| ||j |S )Ndtyper   rv   Fz'axis' entry is out of boundsru   r5   Tc                    
    | |S r&   r"   )r^   rT   r   compiledr"   r#   array_sum_impl_axis  rI   z1array_sum_axis_dtype.<locals>.array_sum_impl_axis)ri   getattrr[   takerr   r5   rO   r   rP   rQ   rv   rw   typing_contextresolve_value_typer.   replacer   r   r0   r   )rl   r3   rm   r5   rettyrb   r   ty_arrayty_axisty_dtyper   r   axis_valgen_implr   rn   r"   r   r#   array_sum_axis_dtype   s0   
r   c                    rY   )Nr   c                    s$    }t | D ]}|| 7 }q|S r&   rZ   )r^   r   r_   r`   ra   r"   r#   rc   (  rd   z'array_sum_dtype.<locals>.array_sum_implre   rf   rh   rk   r"   ra   r#   array_sum_dtype#  rp   r   c                    s  |j }t|d|d}t|dd d u rtj}nt}|j\}}d}	d}
t|tjrc|j	}
|
dk r4|j
|
 }
|
dk s=|
|j
krGd|
 d}t|| j|
}| ||
}|d |f}|j||gd}d}	t|	|
||}t|  fd	d
}| ||||}t| ||j |S )Nr   r   rv   Fz'axis' entry (z) is out of boundsr   Tc                    r   r&   r"   r^   rT   r   r"   r#   r   X  rI   z+array_sum_axis.<locals>.array_sum_impl_axis)ri   r   r[   r   rr   r5   rO   r   rP   rQ   rv   r   r   r   r.   r   r   r   r0   r   )rl   r3   rm   r5   r   rb   r   r   r   r   r   msgr   r   r   rn   r"   r   r#   array_sum_axis3  s2   

r   c                 C   s.   | j tjkrt|| }|S |  |}|S r&   )r|   r[   timedelta64int64view)r   rS   acc_initr"   r"   r#   get_accumulator_  s
   
r   prodc                    s4   t | tjrt| j}t|d  fdd}|S d S )Nr%   c                    s$    }t | D ]}|| 9 }q|S r&   rZ   r'   r_   r`   r   r"   r#   array_prod_implo  rd   z#array_prod.<locals>.array_prod_impl)rO   r   Arrayr	   r   r   )r'   r   r   r"   r   r#   
array_prodg  s   

r   cumsumc                    r   t | tjr7| jtjv }| jtjk}|r| jjtjjk s|r$ttjnt| jt	d  fdd}|S d S )Nr   c                    s:   t | j} }t| jD ]\}}||7 }|||< q|S r&   r[   emptysize	enumerateflatr'   outr_   idxr`   r   r   r"   r#   array_cumsum_impl     
z'array_cumsum.<locals>.array_cumsum_impl
rO   r   r   r   signed_domainbool_bitwidthr/   r	   r   )r'   
is_integeris_boolr   r"   r   r#   array_cumsumx     

r   cumprodc                    r   )Nr%   c                    s:   t | j} }t| jD ]\}}||9 }|||< q|S r&   r   r   r   r"   r#   array_cumprod_impl  r   z)array_cumprod.<locals>.array_cumprod_implr   )r'   r   r   r   r"   r   r#   array_cumprod  r   r   meanc                    s\   t | tjr,| jtjttjgB v }|rttj}nt| j}t	|d  fdd}|S d S )Nr   c                    s*    }t | D ]}|| 7 }q|| j S r&   )r[   r\   r]   r   r   r   r"   r#   array_mean_impl  s   
z#array_mean.<locals>.array_mean_impl)
rO   r   r   r   integer_domain	frozensetr   r	   float64r   )r'   	is_numberr   r   r"   r   r#   
array_mean  s   

r   varc                 C      t | tjrdd }|S d S )Nc                 S   sJ   |   }d}t| D ]}| | }|t|t| 7 }q|| j S Nr   )r   r[   r\   r]   realconjr   )r'   mssdr`   valr"   r"   r#   array_var_impl  s   
z!array_var.<locals>.array_var_implrO   r   r   )r'   r   r"   r"   r#   	array_var  s   r   stdc                 C   r   )Nc                 S   s   |   d S N      ?)r   r'   r"   r"   r#   array_std_impl     z!array_std.<locals>.array_std_implr   )r'   r   r"   r"   r#   	array_std  s   r   c                 C      | |k S r&   r"   r'   min_valr"   r"   r#   min_comparator     r   c                 C      | |kS r&   r"   r   r"   r"   r#   max_comparator  r   r   c                 C      dS NFr"   r   r"   r"   r#   return_false  rs   r   minc                       t | tjsd S t | jtjtjfrtjt n#t | jtj	r*t
dd }t| nt | jtjr7tjt nt
t  fdd}|S )Nc                 S   s0   | j |j k rdS | j |j kr| j|jk rdS dS NTFr   imagr   r"   r"   r#   	comp_func     znpy_min.<locals>.comp_funcc                    j   | j dkr	tdt| }t|d}|r|S |D ]}| }|r+|  S  ||r2|}q|S )Nr   zDzero-size array to reduction operation minimum which has no identityr   rw   r[   r\   nextr   r]   )r'   it	min_valuer   r`   
comparatorpre_return_funcr"   r#   impl_min     


znpy_min.<locals>.impl_min)rO   r   r   r   
NPDatetimeNPTimedeltar[   isnatr   Complexr   r   Floatisnan)r'   r   r   r"   r   r#   npy_min      
r   maxc                    r   )Nc                 S   s0   | j |j krdS | j |j kr| j|jkrdS dS r   r   )r'   max_valr"   r"   r#   r   )  r   znpy_max.<locals>.comp_funcc                    r   )Nr   zDzero-size array to reduction operation maximum which has no identityr   )r'   r   	max_valuer   r`   r   r"   r#   impl_max9  r   znpy_max.<locals>.impl_max)rO   r   r   r   r   r   r[   r   r   r   r   r   r   r   )r'   r   r  r"   r   r#   npy_max  r  r  c                 C   s   | j dkr	tdt| }t|d}d}t|r|S d}|D ]}| }t|r1|  S ||k r9|}|}|d7 }q"|S Nr   *attempt to get argmin of an empty sequencer%   r   rw   r[   r\   r   r   r   r]   )arryr   r   min_idxr   r   r`   r"   r"   r#   array_argmin_impl_datetimeN  "   




r  c                 C   sr   | j dkr	td| jD ]}|}d} t|r|S d}| jD ]}t|r*|  S ||k r2|}|}|d7 }q|S r  r   rw   r   r[   r   r
  r`   r   r  r   r"   r"   r#   array_argmin_impl_floatd  "   





r  c                 C   s\   | j dkr	td| jD ]}|}d} ntdd}| jD ]}||k r'|}|}|d7 }q|S )Nr   r  unreachabler%   )r   rw   r   RuntimeErrorr  r"   r"   r#   array_argmin_impl_genericz  s   



r  argminc                    \   t | jtjtjfrt nt | jtjrt nt t	|r&d fdd	}|S t
| | }|S )Nc                        | S r&   r"   r   flatten_implr"   r#   array_argmin_impl  r*   z'array_argmin.<locals>.array_argmin_implr&   )rO   r   r   r   r   r  r   r  r  r   %build_argmax_or_argmin_with_axis_impl)r^   rT   r  r"   r  r#   array_argmin     r  c                 C   s   | j dkr	tdt| }t|d}d}t|r|S d}|D ]}| }t|r1|  S ||kr9|}|}|d7 }q"|S Nr   z*attempt to get argmax of an empty sequencer%   r	  )r
  r   r  max_idxr   r   r`   r"   r"   r#   array_argmax_impl_datetime  r  r   c                 C   sr   | j dkr	td| jD ]}|}d} t|r|S d}| jD ]}t|r*|  S ||kr2|}|}|d7 }q|S r  r  r
  r`   r  r  r   r"   r"   r#   array_argmax_impl_float  r  r"  c                 C   sR   | j dkr	td| jD ]}|}d} d}| jD ]}||kr"|}|}|d7 }q|S r  )r   rw   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.
    rT   Nc           	         s  |dk r	| j | }|dk s|| j krtd| j dkr | S }t|| j d D ]
}t|||d }q)t|| j d |}| |}|jd }| }|j| jksSJ |j| dks\J t	|j| }t|jD ]} ||| |d |  ||< qj|
|jd d S )Nr   zaxis is out of boundsr%   )rv   rw   r-   r   	transposery   ravelr   r[   r   reshape)	r^   rT   tmpr(   transpose_indextransposed_arrr   raveledr   r  r   tuple_bufferr"   r#   impl  s&   



"z3build_argmax_or_argmin_with_axis_impl.<locals>.implr&   )r   r   r/   tupler-   rv   )r^   rT   r  r.  r"   r,  r#   r    s
   
r  argmaxc                    r  )Nc                    r  r&   r"   r   r  r"   r#   array_argmax_impl  r*   z'array_argmax.<locals>.array_argmax_implr&   )rO   r   r   r   r   r   r   r"  r#  r   r  )r^   rT   r1  r"   r  r#   array_argmax  r  r2  allc                 C      dd }|S )Nc                 S   s"   t | D ]	}| s dS qdS r    rZ   r'   r`   r"   r"   r#   flat_all#  
   znp_all.<locals>.flat_allr"   )r'   r6  r"   r"   r#   np_all      r8  h㈵>:0yE>Fc                 C   s   t | }t |}|s|s|r|sdS |r|r|sdS dS t | s(t |r,| |kS t | | ||t |d   kr@dS dS )NF      ?Tr[   r   isinfabs)a_vb_vrtolatol	equal_nan	a_v_isnan	b_v_isnanr"   r"   r#   _allclose_scalars,  s"   

$rG  allclosec                 C   s   t | stdt |stdt|tjstdt|tjs$tdt|tjs.tdt| tj}t|tj}|rG|rG		dd	d
}|S |rT|sT		ddd}|S |sa|ra		ddd}	|	S |sn|sp		ddd}
|
S 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rB  rC  rD  )rG  r'   brB  rC  rD  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 NrI  FTr[   asarrayr\   rG  r]   )r'   rK  rB  rC  rD  bvr"   r"   r#   np_allclose_impl_scalar_arrayf     
z2np_allclose.<locals>.np_allclose_impl_scalar_arrayc                 S   s:   t | } t | D ]}t| ||||ds dS q
dS rM  rN  )r'   rK  rB  rC  rD  avr"   r"   r#   np_allclose_impl_array_scalarp  rR  z2np_allclose.<locals>.np_allclose_impl_array_scalarc           	      S   s`   t | } t |}t | |\}}t ||fD ]\}}t| | |||ds- dS qdS rM  )r[   rO  broadcast_arraysr\   rG  r]   )	r'   rK  rB  rC  rD  a_ab_brS  rP  r"   r"   r#   np_allclose_impl_array_arrayz  s   

z1np_allclose.<locals>.np_allclose_impl_array_arrayr:  r;  F)r
   	TypeErrorrO   r   r   r   BooleanNumber)r'   rK  rB  rC  rD  is_a_scalaris_b_scalarrL  rQ  rT  rX  r"   r"   r#   np_allcloseF  sB   



r_  anyc                 C   r4  )Nc                 S   s"   t | D ]	}| r dS qdS r   rZ   r5  r"   r"   r#   flat_any  r7  znp_any.<locals>.flat_anyr"   )r'   ra  r"   r"   r#   np_any  r9  rb  c                 C   sR   |d u s
t |tjrddd}|S |d u st |tjr"ddd}|S ddd}|S )Nc                 S   s   t | } t | S r&   )r[   rO  r   r^   rT   weightsr"   r"   r#   np_average_impl  s   

z#np_average.<locals>.np_average_implc                 S   sv   t | } t |}| j|jkr!|d u rtd|jdkr!tdt |}|dkr.tdt t | || }|S )NzCNumba does not support average when shapes of a and weights differ.r%   z81D weights expected when shapes of a and weights differ.        z)Weights sum to zero, can't be normalized.)r[   rO  ry   rZ  rv   sumZeroDivisionErrormultiply)r^   rT   rd  sclavgr"   r"   r#   re    s$   



c                 S   s   t d)Nz)Numba does not support average with axis.)rZ  rc  r"   r"   r#   re    r*   NN)rO   r   NoneType)r^   rT   rd  re  r"   r"   r#   
np_average  s   


rn  c                 C   s(   t | tjtjfrtjS tdd }|S )z$
    A generic isnan() function
    c                 S   r   r   r"   xr"   r"   r#   _trivial_isnan  rs   z!get_isnan.<locals>._trivial_isnan)rO   r   r   r   r[   r   r   )r   rq  r"   r"   r#   	get_isnan  s
   
rr  c                 C      t | rdd S d S )Nc                 S   s   t | jdkS r   r[   rO  r   ro  r"   r"   r#   <lambda>      znp_iscomplex.<locals>.<lambda>r
   ro  r"   r"   r#   np_iscomplex     rx  c                 C   rs  )Nc                 S   s   t | jdkS r   rt  ro  r"   r"   r#   ru    rv  znp_isreal.<locals>.<lambda>rw  ro  r"   r"   r#   	np_isreal  ry  rz  c                    sX   t | }t| tjrt | j}t|tj t| tjr$ fdd}|S  fdd}|S )Nc                    s   | d u rdS  S r   r"   ro  iscmplxr"   r#   r.    s   ziscomplexobj.<locals>.implc                        S r&   r"   ro  r{  r"   r#   r.       )determine_dtyperO   r   Optionalr|   r[   
issubdtypecomplexfloating)rp  dtr.  r"   r{  r#   iscomplexobj  s   
r  c                 C   r4  )Nc                 S   s   t |  S r&   )r[   r  ro  r"   r"   r#   r.    r   zisrealobj.<locals>.implr"   rp  r.  r"   r"   r#   	isrealobj  s   r  c                    s   t |   fdd}|S )Nc                    r}  r&   r"   )numrn   r"   r#   r.    r~  znp_isscalar.<locals>.impl)r   )r  r.  r"   r  r#   np_isscalar  s   r  c                    s,   t |rd fdd	}|S d fdd	}|S )Nc                    s   t t |  t | S r&   r[   logical_andr>  signbitrp  r   fnr"   r#   r.       zis_np_inf_impl.<locals>.implc                    s   t t |  t | |S r&   r  r  r  r"   r#   r.       r&   r   )rp  r   r  r.  r"   r  r#   is_np_inf_impl  s
   r  c                 C      t dd }t| ||S )Nc                 S   rq   r&   r"   ro  r"   r"   r#   ru        zisneginf.<locals>.<lambda>r   r  rp  r   r  r"   r"   r#   isneginf     r  c                 C   r  )Nc                 S   s   |  S r&   r"   ro  r"   r"   r#   ru    s    zisposinf.<locals>.<lambda>r  r  r"   r"   r#   isposinf  r  r  c                 C   r   r&   r"   r'   rK  r"   r"   r#   	less_than  r   r  c                 C   r   r&   r"   r  r"   r"   r#   greater_than  r   r  c                 C   s   | j dkr	tdd S )Nr   z3zero-size array to reduction operation not possible)r   rw   r   r"   r"   r#   check_array"  s   
r  c                    s$   |r
 fdd}|S  fdd}|S )Nc                    s   t | }t| t |}t|d}|D ].}| }t |jr,t |js,|}q |j|jr6|}q|j|jkrE |j	|j	rE|}q|S r   )
r[   rO  r  r\   r   r   r]   r   r   r   r'   r^   r   
return_valr   r`   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   )r[   rO  r  r\   r   r   r]   r   r  r  r"   r#   r.  ;  s   



r"   )r  is_complex_dtyper.  r"   r  r#   nan_min_max_factory(  s
   r  )r  Tc                 C   sp   t | rt |r|S t | rt |r| dk|dkkS t | s(t |r*dS t| | ||t|  kS )Nr   Fr=  )rp  yrB  rC  rD  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}|S t| tjr2t|tjr2d
dd}|S t| tjrEt|tjrEd
dd}|S 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'  r[   zerosrA   r   r-   r  ry   	r'   rK  rB  rC  rD  rp  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 r  r  r  r"   r"   r#   r  s  s   
c                 S   s   t | j|j}t | |}t ||}t jt|t jd}tt ||fD ]\}	\}
}t	|

 |
 |||||	< q't ||S Nr   )r[   broadcast_shapesry   broadcast_tor  rA   r   r   r\   r  r]   )r'   rK  rB  rC  rD  ry   a_b_r   r(   rS  rP  r"   r"   r#   r  |  s   
c                 S   s   t | ||||S r&   )r  rJ  r"   r"   r#   r       rY  )r
   r   rO   r   r   r\  )r'   rK  rB  rC  rD  r  r"   r"   r#   isclosed  s   
!


r  c                 C      t | }t|tjrtS tS r&   )r  r[   r  r  complex_nanminreal_nanminr'   r  r"   r"   r#   	np_nanmin     r  c                 C   r  r&   )r  r[   r  r  complex_nanmaxreal_nanmaxr  r"   r"   r#   	np_nanmax  r  r  c                    *   t | tjsd S t| j  fdd}|S )Nc                    sH   d}d}t | D ]}| } |s|| 7 }|d7 }q	t ||S Nrf  r   r%   )r[   r\   r]   divide)r'   r_   countr   r`   r   r"   r#   nanmean_impl  s   z np_nanmean.<locals>.nanmean_implrO   r   r   rr  r   )r'   r  r"   r  r#   
np_nanmean  s
   
r  c                    r  )Nc                    sj   t | }d}d}t | D ] }| } |s.| | }|t |t | 7 }|d7 }qt ||S r  )r[   nanmeanr\   r]   r   r   r  )r'   r   r   r  r   r`   r   r  r"   r#   nanvar_impl  s   
znp_nanvar.<locals>.nanvar_implr  )r'   r  r"   r  r#   	np_nanvar  
   
r  c                 C      t | tjsd S dd }|S )Nc                 S   s   t | d S r   )r[   nanvarr   r"   r"   r#   nanstd_impl     znp_nanstd.<locals>.nanstd_implr   )r'   r  r"   r"   r#   	np_nanstd  s   r  c                    P   t | tjsd S t | jtjrtj}n| j}|dt| j  fdd}|S )Nr   c                    s0   }t | D ]}| } |s||7 }q|S r&   rZ   r'   r_   r   r`   r   rb   r"   r#   nansum_impl     znp_nansum.<locals>.nansum_implrO   r   r   r   Integerr/   rr  )r'   r   r  r"   r  r#   	np_nansum     
r  c                    r  )Nr%   c                    s0   }t | D ]}| } |s||9 }q|S r&   rZ   r  r   oner"   r#   nanprod_impl  r  z np_nanprod.<locals>.nanprod_implr  )r'   r   r  r"   r  r#   
np_nanprod  r  r  c                    sV   t | tjsd S t | jtjtjfrdd S | jt d fdd}|S )Nc                 S   
   t | S r&   )r[   r   r   r"   r"   r#   ru       
 znp_nancumprod.<locals>.<lambda>r%   c                    sD   t | j}}t| jD ]\}} | r||9 }|||< q|S r&   r   r   is_nanr  r   r"   r#   nancumprod_impl     

z&np_nancumprod.<locals>.nancumprod_implrO   r   r   r   r[  r  rr  )r'   r  r"   r  r#   np_nancumprod     	r  c                    sV   t | tjsd S t | jtjtjfrdd S | jt d fdd}|S )Nc                 S   r  r&   )r[   r   r   r"   r"   r#   ru  $  r  znp_nancumsum.<locals>.<lambda>r   c                    sD   t | j}}t| jD ]\}} | r||7 }|||< q|S r&   r   r   r  r   rb   r"   r#   nancumsum_impl*  r  z$np_nancumsum.<locals>.nancumsum_implr  )r'   r  r"   r  r#   np_nancumsum  r  r  c                 C   s    t | }t|dkrtd|S )Nr   z&zero-size array reduction not possible)_asarrayrA   rw   r'   r^   r"   r"   r#   prepare_ptp_input6  s   r  c                    s,   t |tjr fdd}|S  fdd}|S )Nc                    s4    |j | j r	|S |j | j kr |j| jr|S | S r&   r   current_valr   r   r"   r#   r.  F  s   z+_compute_current_val_impl_gen.<locals>.implc                    s    || r|S | S r&   r"   r  r  r"   r#   r.  N  s   )rO   r   r   )r   r  r   r.  r"   r  r#   _compute_current_val_impl_gen?  s
   
r  c                 C      d S r&   r"   r  r"   r"   r#   _compute_a_maxS  r~  r  c                 C   r  r&   r"   r  r"   r"   r#   _compute_a_minW  r~  r  c                 C      t tj| |S r&   )r  operatorgtr  r"   r"   r#   _compute_a_max_impl[     r  c                 C   r  r&   )r  r  ltr  r"   r"   r#   _compute_a_min_impl`  r  r  c                 C   r  r&   r"   r   r"   r"   r#   _early_returne  r~  r  c                    sL   d t | tjr fdd}|S t | tjr fdd}|S  fdd}|S )Nr   c                    sB   t | jrt | jrdt jt jd  fS dt jd fS d fS )NT              ?y                F)r[   r   r   r   nanr  UNUSEDr"   r#   r.  m  s
   z _early_return_impl.<locals>.implc                    s   t | r
dt jfS d fS r   )r[   r   r  r  r  r"   r#   r.  v  s   

c                    s   d fS r   r"   r  r  r"   r#   r.  |  r*   )rO   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 )Nr   +Boolean dtype is unsupported (as per NumPy)c           	      S   sj   t | }|j}|d }|d }t|jD ]}|| }t|\}}|r&|  S t||}t||}q|| S r   )r  r   r-   r   r  r  r  )	r'   r^   a_flata_mina_maxr(   r   take_branchretvalr"   r"   r#   np_ptp_impl  s   
znp_ptp.<locals>.np_ptp_impl)hasattrrO   r   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 r    )r[   r   r  r"   r"   r#   nan_aware_less_than  s
   

r	  c                    s   d fdd	}|S )Nc                    s2  || d? }| | | | r+| | | | | |< | |<  r+|| || ||< ||< | | | | rP| | | | | |< | |<  rP|| || ||< ||< | | | | ru| | | | | |< | |<  ru|| || ||< ||< | | }| | | | | |< | |<  r|| || ||< ||< |}|d }	 ||k r| | |r|d7 }||k r| | |s||krЈ|| | r|d8 }||krЈ|| | s||krn%| | | | | |< | |<  r|| || ||< ||< |d7 }|d8 }q| | | | | |< | |<  r|| || ||< ||< |S Nr%   r"   )AlowhighImidpivotr(   jargpartition	pivotimplr"   r#   
_partition  sL   z&_partition_factory.<locals>._partitionr&   r"   )r  r  r  r"   r  r#   _partition_factory  s   -r  )r  c                    s   d fdd	}|S )Nc                    s\    | |||}||kr*||k r|d } | |||}n|d } | |||}||ks| | S )zJ
        Select the k'th smallest element in array[low:high + 1].
        r%   r"   )r
  kr  r  r   r(   partitionimplr"   r#   _select  s   z _select_factory.<locals>._selectr&   r"   )r  r  r"   r  r#   _select_factory  s   r  c                 C   s   	 ||ksJ t | ||}||k r|d }n%||d kr!|d }n||kr1t| |d |d | nt| |||d  nq| | | |d  fS )z
    Select the k'th and k+1'th smallest elements in array[low:high + 1].

    This is significantly faster than doing two independent selections
    for k and k+1.
    Tr%   )r  r  )r
  r  r  r  r(   r"   r"   r#   _select_two  s   

r  c                 C   sP   d}|d }|d? }|d@ dkr!t | |d ||\}}|| d S t| |||S )zt
    The main logic of the median() call.  *temp_arry* must be disposable,
    as this function will mutate it.
    r   r%   ru   )r  r  )	temp_arrynr  r  halfr'   rK  r"   r"   r#   _median_inner  s   r   c                 C   r  )Nc                 S   s   |   }|jd }t||S r   )flattenry   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}|S tjt |tjd}tt |D ]}|| }|dkrIt| }tt|  rHt| rHtj	}n|dkrt
| }tt|  rt| tjk}t| tj k}|||  }	|	dkrytj	}|dkr|dkrtj	}|dkrtj	}|	dkr|dkr|dkrtj	}n/d|d t|d  }
t|
}|
| }t| t|d d|d d\}}|d|  ||  }|||< q'|S )Nr%   r   r  d   ru         Y@)r  r  r  )rA   r[   r{   r   r   r-   r  r3  isfiniter  r   rg  inftrue_dividemathfloorr  int)r'   qr  r   r(   
percentiler   num_pos_infnum_neg_inf
num_finiterankfr   lowerupperr"   r"   r#   _collect_percentiles_inner3  sJ   *


 
r5  c                 C   sP   |r| |  } t | dkrdS nt|rdS t | dkr&| d }t|S dS )Nr   Fr%   T)rA   r[   r`  r&  )r'   nan_maskskip_nanr   r"   r"   r#   _can_collect_percentilesh  s   


r8  c                 C   s   d}| j dkr.| jdk r.t| jD ]}| | dk s&| | |ks&t| | r+d} |S q|S tt| sDt| dk sDt| |krFd}|S )NTr%   
   rf  F)rv   r   r-   r[   r   r`  )r,  q_upper_boundvalidr(   r"   r"   r#   check_validy  s   &,r<  c                 C      t | dds
tdd S )Nr%  r:  z)Percentiles must be in the range [0, 100]r<  rw   r,  r"   r"   r#   percentile_is_valid     rA  c                 C   r=  )Nr<  r>  z%Quantiles must be in the range [0, 1]r?  r@  r"   r"   r#   quantile_is_valid  rB  rC  c                 C   s|   t j|t jd }|| || }t j| t jd }t |}t|||r3||  }t||}|S t t|t j	}|S r  )
r[   rO  r   r!  r   r8  r5  r{   rA   r  )r'   r,  check_qfactorr7  r  r6  r   r"   r"   r#   _collect_percentiles  s   


rF  c                    sr   t | }t|tjrtd fdd} fdd}t|tjtjfr*|S t|tj	r7|j
dkr7|S |S )z
    The underlying algorithm to find percentiles and quantiles
    is the same, hence we converge onto the same code paths
    in this inner function implementation
    zNot supported for complex dtypec                    s   t | | d S r   rF  r'   r,  rD  rE  r7  r"   r#   np_percentile_q_scalar_impl     z?_percentile_quantile_inner.<locals>.np_percentile_q_scalar_implc                    s   t | | S r&   rG  rH  rI  r"   r#   np_percentile_impl  r  z6_percentile_quantile_inner.<locals>.np_percentile_implr   )r  r[   r  r  r   rO   r   r\  r[  r   rv   )r'   r,  r7  rE  rD  r  rJ  rL  r"   rI  r#   _percentile_quantile_inner  s   rM  c                 C      t | |ddtdS )NFr<  r7  rE  rD  rM  rA  rH  r"   r"   r#   np_percentile     
rQ  c                 C   rN  )NTr<  rO  rP  rH  r"   r"   r#   np_nanpercentile  rR  rS  c                 C   rN  )NFr%  rO  rM  rC  rH  r"   r"   r#   np_quantile  rR  rU  c                 C   rN  )NTr%  rO  rT  rH  r"   r"   r#   np_nanquantile  rR  rV  c                    r  )Nc                    s\   t | j| j}d}t | D ]}| } |s!|||< |d7 }q|dkr)t jS t||S Nr   r%   )r[   r   r   r   r\   r]   r  r   )r'   r  r  r   r`   r  r"   r#   nanmedian_impl  s   
z$np_nanmedian.<locals>.nanmedian_implr  )r'   rX  r"   r  r#   np_nanmedian  r  rY  c           	      C   sl   t | }t | jd d }|D ]"}| |  }d}t|d }|D ]}t|||| |}q#|||< q|S )Nr$  r   r%   )r[   
empty_likendindexry   copyrA   _select_w_nan)	r'   	kth_arrayr   r   sr
  r  r  kthr"   r"   r#   np_partition_impl_inner  s   

ra  c           
      C   s   t j| t jd}t | jd d }|D ]*}| |  }t t|}d}t|d }|D ]}	t||	||| |	}q-|||< q|S )Nr  r$  r   r%   )	r[   rZ  r/   r[  ry   r\  arangerA   _arg_select_w_nan)
r'   r^  r   r   r_  r
  idx_arryr  r  r`  r"   r"   r#   np_argpartition_impl_inner  s   
re  c                 C   s   t |tj}|jdkrtdtt|| jd kr"tdt	|}t
|D ]\}}|dk r>|| jd  ||< q,|||< q,t|S )a  
    Returns a sorted, unique array of kth values which serve
    as indexers for partitioning the input array, a.

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

    Values less than 0 are transformed to equivalent positive
    index values.
    r%   zkth must be scalar or 1-Dr$  zkth out of boundsr   )r  astyper[   r   rv   rw   r`  r?  ry   rZ  ndenumerateunique)r'   r`  r^  r   indexr   r"   r"   r#   
valid_kths"  s   



rj  c                 C   n   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s1tddd }|S )N(The first argument must be an array-liker   3The first argument must be at least 1-D (found 0-D)r   Partition index must be integerc                 S   s.   t | }|jdkr| S t||}t||S r   )r  r   r\  rj  ra  r'   r`  a_tmpr^  r"   r"   r#   np_partition_implS  s
   


z'np_partition.<locals>.np_partition_impl
rO   r   r   SequencerR   rZ  rv   r   r[  r  )r'   r`  kthdtrq  r"   r"   r#   np_partitionE     ru  c                 C   rk  )Nrl  r   rm  r   rn  c                 S   s4   t | }|jdkr| dS t||}t||S )Nr   r/   )r  r   r\  rf  rj  re  ro  r"   r"   r#   np_argpartition_impll  s
   


z-np_argpartition.<locals>.np_argpartition_implrr  )r'   r`  rt  rw  r"   r"   r#   np_argpartition^  rv  rx  c                 C   sv   t d| t d|f}tj|tjd}t|d D ] }tt d|| d |d }d||d |f< d|||d f< q|S )Nr   r  r%   )r  r[   r   r   r-   r   )NMr  ry   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 u r| }t | ||S r&   )r|  )ry  rz  r  r"   r"   r#   tri_impl  s   znp_tri.<locals>.tri_implr   )r   )ry  rz  r  r}  r"   r"   r#   np_tri  s   

r~  c                 C   sD   | j dksJ t| }tj||f| jd}t|D ]}| ||< q|S )zq
    Takes a 1d array and tiles it to form a square matrix
    - i.e. a facsimile of np.tile(m, (len(m), 1))
    r%   r  )rv   rA   r[   r   r   r-   )r   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$  rz  r  r  r[   triry   rf  uintwhere
zeros_liker   r   r  maskr"   r"   r#   np_tril_impl_2d  s   $r  c                 C   >   t |d d	dd}d	dd}| jdkr|S | jdkrtS |S )
Nr  r   c                 S      t | }t||S r&   )r  r  r   r  m_2dr"   r"   r#   np_tril_impl_1d     
z my_tril.<locals>.np_tril_impl_1dc                 S   sv   t j| jd | jd |dt j}t | jd d }t | }t j|| jd}|D ]}t 	|| | |||< q+|S r  
r[   r  ry   rf  r  r[  rZ  r  r   r  r   r  r  r   zzero_optselr"   r"   r#   np_tril_impl_multi  s   $
z#my_tril.<locals>.np_tril_impl_multir%   ru   r   )r   rv   r  )r   r  r  r  r"   r"   r#   my_tril  s   



	
r  c                 C   4   t | d t |d t|st |d ddd}|S )Nr  r  r   r   c                 S   s   t t j| ||dS )Nr  r[   nonzeror  r  r  r   r"   r"   r#   np_tril_indices_impl  s   z-np_tril_indices.<locals>.np_tril_indices_implr   Nr   r   )r  r  r   r  r"   r"   r#   np_tril_indices     



r  c                 C   *   t |d | jdkrtdddd}|S )Nr  ru   input array must be 2-dr   c                 S      t j| jd || jd dS Nr   r%   )r  r   )r[   tril_indicesry   r^   r  r"   r"   r#   np_tril_indices_from_impl  r  z7np_tril_indices_from.<locals>.np_tril_indices_from_implr  r   rv   r   )r^   r  r  r"   r"   r#   np_tril_indices_from  
   


r  c                 C   sB   t j| jd | jd |d dt j}t |t j| | jd| S Nr  r$  r%   r  r  r  r  r"   r"   r#   np_triu_impl_2d  s   (r  c                 C   r  )
Nr  r   c                 S   r  r&   )r  r  r  r"   r"   r#   np_triu_impl_1d  r  z my_triu.<locals>.np_triu_impl_1dc                 S   sz   t j| jd | jd |d dt j}t | jd d }t | }t j|| jd}|D ]}t 	||| | ||< q-|S r  r  r  r"   r"   r#   np_triu_impl_multi  s   (
z#my_triu.<locals>.np_triu_impl_multir%   ru   r  )r   rv   r  )r   r  r  r  r"   r"   r#   my_triu  s   



	
r  c                 C   r  )Nr  r  r   r   c                 S   s   t dt j| ||d d S )Nr%   r  r  r  r"   r"   r#   np_triu_indices_impl  r  z-np_triu_indices.<locals>.np_triu_indices_implr  r  )r  r  r   r  r"   r"   r#   np_triu_indices  r  r  c                 C   r  )Nr  ru   r  r   c                 S   r  r  )r[   triu_indicesry   r  r"   r"   r#   np_triu_indices_from_impl  r  z7np_triu_indices_from.<locals>.np_triu_indices_from_implr  r  )r^   r  r  r"   r"   r#   np_triu_indices_from  r  r  c                 C   r  r&   r"   r^   r"   r"   r#   _prepare_array  r~  r  c                 C   s   | d t jfv rdd S dd S )Nc                 S   s
   t dS )Nr"   r[   arrayr  r"   r"   r#   ru  &  r  z%_prepare_array_impl.<locals>.<lambda>c                 S   s   t |  S r&   )r  r&  r  r"   r"   r#   ru  (  s    r   noner  r"   r"   r#   _prepare_array_impl#  s   r  c                 C   s~   | }	 t |tjtjfrt|S t|dd }|d ur"| dkr"tjS t|dd }|d u r0tdt |tj	r:|j
}nt|S q)NT__len__r   r   ztype has no dtype attr)rO   r   r\  r[  r	   r   r[   r   rZ  rs  r   )inobjobjlr  r"   r"   r#   _dtype_of_compound+  s   r  c                 C   s   t | tjrt | jtjrtdt| }d }t|st|}d }t|s)t|}|d ur9t	||s9d}t||d urIt	||sId}t|ddd}|S )Nr   z3dtype of to_begin must be compatible with input aryz1dtype of to_end must be compatible with input aryc           
      S   s   t |}t | }t |}|j}t|dkrMtjt|t| t| d |d}t|}t|t| d }	||d |< t||||	< |||	d < |S tjt|t| |d}t|}||d |< |||d < |S )Nr   r%   r  )r  r   rA   r[   r   diff)
aryto_endto_beginstartr  end	out_dtyper   	start_idxmid_idxr"   r"   r#   np_ediff1d_implV  s&   z#np_ediff1d.<locals>.np_ediff1d_implrl  )
rO   r   r   r   r[  r   r  r   r[   can_cast)r  r  r  ary_dtto_begin_dt	to_end_dtr   r  r"   r"   r#   
np_ediff1d<  s$   
r  c                 C   r  r&   r"   r  r"   r"   r#   _select_elementt  r~  r  c                 C   s,   t | dd dk}|rdd }|S dd }|S )Nrv   r   c                 S   s$   t jd| jd}| |d d < |d S )Nr%   r  r   )r[   r  r   )r^   rp  r"   r"   r#   r.  |  s   z"_select_element_impl.<locals>.implc                 S   rq   r&   r"   r  r"   r"   r#   r.    r~  r   )r^   zerodr.  r"   r"   r#   _select_element_implx  s   r  c                 C   r  r&   r"   )dxrp  r"   r"   r#   _get_d  r~  r  c                 C   s    t | r
dd }|S dd }|S )Nc                 S   s
   t |S r&   r[   rO  rp  r  r"   r"   r#   r.    rI   zget_d_impl.<locals>.implc                 S   s   t t | S r&   )r[   r  rO  r  r"   r"   r#   r.    r  r  )rp  r  r.  r"   r"   r#   
get_d_impl  s
   r  r<  c                 C   sF   t | tjtjfrtdt | tjr| jdkrtdddd}|S )Nzy cannot be a scalarr   zy cannot be 0Dr<  c                 S   sX   t | }t||}|dtdd f |dtd df  d }t || d}t|}|S )N.r%   r$         @)r[   rO  r  rG   rg  r  )r  rp  r  yarrdy_averet	processedr"   r"   r#   r.    s   

(znp_trapz.<locals>.implNr<  )rO   r   r\  r[  r   r   rv   )r  rp  r  r.  r"   r"   r#   np_trapz  s   
r  c                 C   s   |j \}}|t| ksJ ||ksJ |r?t|D ]#}|dkr(d|dd|f< qt| |dd|d f |dd|f< qdS t|d ddD ]%}||d krXd|dd|f< qGt| |dd|d f |dd|f< qGdS )a*  
    Generate an N-column Vandermonde matrix from a supplied 1-dimensional
    array, x. Store results in an output matrix, out, which is assumed to
    be of the required dtype.

    Values are accumulated using np.multiply to match the floating point
    precision behaviour of numpy.vander.
    r   r%   Nr$  )ry   rA   r-   r[   ri  )rp  ry  
increasingr   r   r  r(   r"   r"   r#   
_np_vander  s   

**r  c                 C   s&   | j dkr	td|dk rtdd S )Nr%   z.x must be a one-dimensional array or sequence.r   z#Negative dimensions are not allowed)rv   rw   )rp  ry  r"   r"   r#   _check_vander_params  s
   
r  c                    sz   |d t jfvrt|t jstdd fdd	}ddd}t| t jr0t| j}t	|t
 |S t| t jt jfr;|S d S )Nz,Second argument N must be None or an integerFc                    sF   |d u rt | }t| | tjt | t|f d}t| ||| |S r  )rA   r  r[   r   r+  r  )rp  ry  r  r   r  r"   r#   np_vander_impl  s   
z!np_vander.<locals>.np_vander_implc                 S   sR   |d u rt | }t| }t|| tjt | t|f|jd}t|||| |S r  )rA   r[   r  r  r   r+  r   r  )rp  ry  r  x_arrr   r"   r"   r#   np_vander_seq_impl  s   

z%np_vander.<locals>.np_vander_seq_implr   )r   r  rO   r  r   r   r	   r   r[   promote_typesr+  rR   rs  )rp  ry  r  r  r  x_dtr"   r  r#   	np_vander  s   

r  c                 C   s@   t |tjtjfstddd }t | tjtjfrdd S |S )Nzshift must be an integerc                 S   sR   t | }t j|j|jd}|j}t|jD ]}|| |j }|| |j|< q|S r  )r[   rO  r   ry   r   r   r-   r   )r'   shiftr^   r   arr_flatr(   r   r"   r"   r#   np_roll_impl  s   
znp_roll.<locals>.np_roll_implc                 S   r  r&   r  )r'   r  r"   r"   r#   ru  
	  r  znp_roll.<locals>.<lambda>)rO   r   r  r[  r   r\  )r'   r  r  r"   r"   r#   np_roll  s   r     c                 C   s|  d}|}| ||d  kr|S | |d k rdS |dkr8d}||k r4| || kr4|d7 }||k r4| || ks&|d S ||d krB|d }|dk rHd}| || k ro| ||d  k rk|d }|t krj| ||t   krj|t  }n2|d S | ||d  k ry|S | ||d  k r|d S |d }||t  d k r| ||t   k r|t  }||k r||| d?  }| || kr|d }n|}||k s|d S )Nr   r%   r$     rt   ru   )LIKELY_IN_CACHE_SIZE)keyr^   lengthguessiminimaxr(   imidr"   r"   r#   binary_search_with_guess	  sR   
r  c                 C   s  t | }t |}t |}t|dkrtdt|t|kr%td|jdkr5t j|j|d |dS t j|j|d}|j}t|}	|d }
||	d  }|	dkr|d }|d }t|D ] }|j	| }||k ro|
|j	|< q^||kry||j	|< q^||j	|< q^|S d}|	|krt j|	d |d}nt jd|d}|jrt|	d D ]2}d||d  ||   }||d  j
|| j
 | }||d  j|| j | }|d|  ||< qt|D ]}|j	| }t |r|}d}|d|  |j	|< qt|||	|}|d	kr|
|j	|< q||	kr||j	|< q||	d kr|| |j	|< q|| |kr.|| |j	|< q|jr7|| }n.d||d  ||   }||d  j
|| j
 | }||d  j|| j | }|d|  }|j
|||   || j
 }t |r|j
|||d    ||d  j
 }t |r|| j
||d  j
kr|| j
}|j|||   || j }t |r|j|||d    ||d  j }t |r|| j||d  jkr|| j}|d|  |j	|< q|S )
Nr   array of sample points is empty#fp and xp are not of the same size.r%   
fill_valuer   r  r  rf  r$  )r[   rO  rA   rw   r   r{   ry   r   r-   r   r   r   r   r  )rp  xpfpr   dzr  dydreslenxlenxplvalrvalxp_valfp_valr(   x_valr  slopesinv_dxr   r   sloper"   r"   r#   np_interp_impl_complex_innerZ	  s   




D




	$&
$&
r  c                 C   s  t j| t jd}t j|t jd}t j|t jd}t|dkr"tdt|t|kr.td|jdkr>t j|j|d |dS t j|j|d}|j}t|}	|d }
||	d  }|	dkr|d }|d }t	|D ] }|j
| }||k rx|
|j
|< qg||kr||j
|< qg||j
|< qg|S d}|	|kr|dd  |d d  |dd  |d d   }nt jd|d}t	|D ]}|j
| }t |r||j
|< qt|||	|}|dkr|
|j
|< q||	kr||j
|< q||	d kr|| |j
|< q|| |kr|| |j
|< q|jr|| }n||d  ||  ||d  ||   }||||   ||  |j
|< t |j
| r`||||d    ||d   |j
|< t |j
| r`|| ||d  kr`|| |j
|< q|S )Nr  r   r  r  r%   r  r$  )r[   rO  r   rA   rw   r   r{   ry   r   r-   r   r   r  )rp  r   r  r   r  r  r  r  r  r  r  r  r	  r
  r(   r  r  r  r  r"   r"   r#   np_interp_impl_inner	  sj   

02



(&(r  c                    s   t |dr|jdkrtdt |dr|jdkrtdd}t|}t|tjr-t|t|}t|tj t tjrBt	nt
 fdd} fdd	}t| tjrdt| tjrbt||S |S )
Nrv   r%   zxp must be 1Dzfp must be 1Dz:Cannot cast array data from complex dtype to float64 dtypec                    s   | || S r&   r"   rp  r   r  r   r   r"   r#   np_interp_impl<
  r  z!np_interp.<locals>.np_interp_implc                    s   | || j d S r   r   r  r  r"   r#   np_interp_scalar_impl?
  rK  z(np_interp.<locals>.np_interp_scalar_impl)r  rv   r   r  r[   r  r  result_typer   r  r  rO   r   r\  r   )rp  r   r  complex_dtype_msgxp_dtfp_dtr  r  r"   r  r#   	np_interp!
  s*   r  c                 C   s`   | j dksJ | j\}}tj|df| jd}t|D ]}t| |d d f | ||df< q|S )Nru   r%   r  r   )rv   ry   r[   r   r   r-   rg  )r'   r   r  r   r(   r"   r"   r#   row_wise_averageM
  s   
$r  c                 C   sb   |d u r|r	d}nd}| j d | }t|d}| t| 8 } t| t| j}|td|9 }|S )Nr   r%   rf  )ry   r  r  r[   dotr   Tr(  )Xbiasddoffactr_   r"   r"   r#   np_cov_impl_innerZ
  s   
r"  c                   C   r  r&   r"   r"   r"   r"   r#   _prepare_cov_input_inners
  r~  r#  c                 C   s&   |d t jfv rdd }|S dd }|S )Nc                 S   s   t t| }|s|j}|S r&   )r[   
atleast_2dr  r  )r   r  rowvarr   m_arrr"   r"   r#   r#  z
  s   z9_prepare_cov_input_impl.<locals>._prepare_cov_input_innerc                 S   s   t t| }t t|}|s$|jd dkr|j}|jd dkr$|j}|j\}}|j\}}	||	kr6tdt j|| |f|d}
||
d |d d f< ||
| d d d f< |
S )Nr   r%   z$m and y have incompatible dimensionsr  )r[   r$  r  ry   r  rw   r   )r   r  r%  r   r&  y_arrm_rowsm_colsy_rowsy_colsr   r"   r"   r#   r#  
  s   

r  )r   r  r%  r   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 d S )Nru   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].)rv   ry   r  )r   r   r"   r"   r#   _handle_m_dim_change
  s   r-  c                 C   rq   r&   r"   ro  r"   r"   r#   ru  
  r  ru  c                    s   t j}t| tjrt| j}|S t| tjtjfrt| }|S t| tj	tj
frbt  | D ]}t|dr> fdd|D  q- | q-t dkrVt jdd  D  }|S t dkrbt  }|S )Nr  c                    s   g | ]}  |qS r"   )add).0r`   coltypesr"   r#   
<listcomp>
      z#determine_dtype.<locals>.<listcomp>r%   c                 S   s   g | ]}t |qS r"   )r	   )r/  tyr"   r"   r#   r2  
      )r[   r   rO   r   r   r	   r   r\  r[  rB   rR   setr  r.  rA   r  rz   )
array_likearray_like_dtr   r"   r0  r#   r  
  s&   

r  c                 C   sx   t | tjr| jdkrtd|d S t | tjr6t | jd tjr8t | jd jd tjr:td|d S d S d S )Nru   z{0} has more than 2 dimensionsr   )rO   r   r   rv   rZ  formatrs  r  )r7  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)r[   r&  rw   r+  )r   r"   r"   r#   _handle_ddof
  s
   
r<  c                 C   rq   r&   r"   ro  r"   r"   r#   ru  
  r  c                 C   s   ||  || t | |||S r&   )r#  )r   r  r%  r   r   _DDOF_HANDLER_M_DIM_HANDLERr"   r"   r#   _prepare_cov_input
  s   r?  c                 C   s   |d t jfv }t| t jr| jdkr|S t| t jr8tdd | j D r&|S t| j dkr8t| j d t jr8|S t| t jt j	frC|S t| t j
rVt| jd t j
sV|rVdS dS )Nr%   c                 s   s"    | ]}t |tjtjfV  qd S r&   )rO   r   r\  r[  r/  rp  r"   r"   r#   	<genexpr>
  s    z)scalar_result_expected.<locals>.<genexpr>r   TF)r   r  rO   r   rv   	BaseTupler3  rA   r\  r[  rs  r  )mandatory_inputoptional_inputopt_is_noner"   r"   r#   scalar_result_expected
  s(   rF  c                 C   s   t t | dkt | | S r
  )r[   r  fabssignro  r"   r"   r#   
_clip_corr
  s   rI  c                 C   s    t | j}t | j}|d|  S )Nr  )rI  r   r   )rp  r   r   r"   r"   r#   _clip_complex
  s   

rJ  c           	         s   t | d t |d |d tjfv rt nt|tjtjfr t nt|tjr)t nt	dt
t| tjr7tt| }t|}t||tjd
 fdd	}		 d
 fdd		}t| |rb|S |S )Nr   r  z)ddof must be a real numerical scalar typeTFc                    s^   t | ||| }tt|jdkr)tj|jd |jd ftjdS t|||S )Nr   r  )	r?  rf  r[   r`  r  ry   r{   r  r"  )r   r  r%  r  r   r  r=  r>  r   r"   r#   np_cov_impl"  s   znp_cov.<locals>.np_cov_implc                    sT   t | ||| }tt|jdkrtj}n	t|||jd }t|S r   )	r?  rf  r[   r`  r  ry   r  r"  r   )r   r  r%  r  r   r  variancerK  r"   r#   np_cov_impl_single_variable,  s   
z+np_cov.<locals>.np_cov_impl_single_variableNTFN)r;  r   r  _handle_ddof_noprO   r  r[  r   r<  r   _handle_m_dim_nopr   r-  r  r[   r  r   rF  )	r   r  r%  r  r   m_dty_dtrL  rN  r"   rK  r#   np_cov  s,   



rT  c                    s^   t | }t |}t||tj}|tjkrt nt d fdd	}ddd}t| |r-|S |S )NTc                    sp   t | ||}t |}t |j}t|jd D ]}||d d f  |  < |d d |f  |  < q |S r   )r[   covdiagsqrtr   r-   ry   )rp  r  r%  r_   r  stddevr(   clip_fnr"   r#   np_corrcoef_implJ  s   
z%np_corrcoef.<locals>.np_corrcoef_implc                 S   s   t | ||}|| S r&   )r[   rU  )rp  r  r%  r_   r"   r"   r#    np_corrcoef_impl_single_variableU  s   z5np_corrcoef.<locals>.np_corrcoef_impl_single_variableNT)r  r[   r  r   complex_rJ  rI  rF  )rp  r  r%  r  rS  r   r[  r\  r"   rY  r#   np_corrcoef>  s   


r_  c                    sD   t | tjtjf}t| r|sdd }|S d d fdd}|S )Nc                 S   s:   t | }|jdkrt jdtjdS t t t |S )Nr"   )r   r%   r  )	r[   rO  ry   r  r   r/   r%  vstackr  r  r"   r"   r#   r.  j  s   

znp_argwhere.<locals>.impl)r   r   )r%   r   c                    s0   | d urt | rtjtjdS tj tjdS r  )boolr[   r  r   r/   r   falseishtrueishr"   r#   r.  s  s   )rO   r   r\  r[  r
   )r'   
use_scalarr.  r"   rb  r#   np_argwherec  s   rf  c                 C   s    t | r
dd }|S dd }|S )Nc                 S   s   t | }t t |d S r   )r[   rO  r  r&  r  r"   r"   r#   r.    s   
znp_flatnonzero.<locals>.implc                 S   s:   | d urt | rdg}n	dd tdD }tj|tjdS )Nr   c                 S   s   g | ]}|qS r"   r"   r@  r"   r"   r#   r2    rv  z0np_flatnonzero.<locals>.impl.<locals>.<listcomp>r  )ra  r-   r[   r  r   r/   )r'   r;   r"   r"   r#   r.    s   rw  )r'   r.  r"   r"   r#   np_flatnonzero|  s
   rg  c                 C   s   | j dkr(| jd }| jd }d| }|r|| }||fS |t|| }||fS t| j}tt|dks<tddt|d d 	  }|
 }||fS )Nru   r   r%   z/All dimensions of input must be of equal lengthr$  )rv   ry   r   r[   r  r3  r  rw   r   rg  r   )r'   wrapr   r  stepr  ry   r"   r"   r#   _fill_diagonal_params  s   



rj  c                 C   s.   t | |\}}td||D ]}|| j|< qd S r   )rj  r-   r   )r'   r   rh  r  ri  r(   r"   r"   r#   _fill_diagonal_scalar  s   rk  c                 C   sN   t | |\}}d}t|}td||D ]}|| | j|< |d7 }|| }qd S rW  )rj  rA   r-   r   )r'   r   rh  r  ri  ctrv_lenr(   r"   r"   r#   _fill_diagonal  s   
rn  c                 C   sR   t | j}|j}|j}t t | s#t ||k s#t ||kr'tdd S Nz'Unable to safely conform val to a.dtype)r[   iinfor   r   r  r`  r&  rw   )r'   r   rp  v_minv_maxr"   r"   r#   _check_val_int  s   .rs  c                 C   sN   t | j}|j}|j}|t | }t ||k s!t ||kr%tdd S ro  )r[   finfor   r   r  r&  r`  rw   )r'   r   rt  rq  rr  finite_valsr"   r"   r#   _check_val_float  s   rv  c                 C   rq   r&   r"   rp  r  r"   r"   r#   ru    r  c                 C   r  r&   r"   ro  r"   r"   r#   r    r~  r  c                    sX   t | tjr
dd S t | tjtjfrdd S t | tjtjfr*t|   fddS d S )Nc                 S   rq   r&   r"   ro  r"   r"   r#   ru    r  z_asarray_impl.<locals>.<lambda>c                 S   r  r&   r  ro  r"   r"   r#   ru    r  c                    s   t j| g dS r  r  ro  r4  r"   r#   ru    rv  )rO   r   r   rs  rR   r\  r[  r	   ro  r"   rx  r#   _asarray_impl  s   ry  c                    s   | j dkrEt| jtjrt nt| jtjrt nt d fdd	}d fdd	}t|tjtjtj	fr6|S t|tj
tjtjfrC|S d S d| j  }t|)	Nr%   Fc                    s&   t | } | | t| || d S r&   )r  r!  rk  r'   r   rh  tmpvalcheckerr"   r#   scalar_impl     
z%np_fill_diagonal.<locals>.scalar_implc                    s&   t | } | | t| || d S r&   )r  r!  rn  rz  r|  r"   r#   non_scalar_impl  r  z)np_fill_diagonal.<locals>.non_scalar_implz4The first argument must be at least 2-D (found %s-D)F)rv   rO   r   r   r  rs  r   rv  
_check_nopr[  rR   rs  r   r   )r'   r   rh  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   )r5   r+   modulellvmliteirFunctionTyper   get_or_insert_functionr  callr   ri   )rl   r3   rm   r5   r   r  lltyr  fntyr  rn   r"   r"   r#   r@     s   

z _np_round_float.<locals>.codegenr"   )	typingctxr   rm   r@   r"   r"   r#   _np_round_float  s   r  c                 C   s   t | s
t | r| S |dkr8|dkrd|d  }d}nd| }d}| | | }t |r0| S t|| | S d|  }| | }t|| S )Nr      g      $@gMDr<  )r)  r>  r   r  )rp  ndigitspow1pow2r  r"   r"   r#   round_ndigits  s   

r  c                 C   s   t | stdt|tjst|sd}t|t| tjtjtjfrWt|rPt| tjr4ddd}|S t| tjrAddd}|S t| tjrNddd}|S d S ddd}|S t| tjrot|rhdd	d}|S dd
d}|S d S )Nz#The argument "a" must be array-likez5The argument "out" must be an array if it is providedr   c                 S   s   |dkrt | S t| |S r   )r  r  r'   decimalsr   r"   r"   r#   r.  B  s   
zimpl_np_round.<locals>.implc                 S   s   |dkr| S t t| |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   )r[   roundr  r"   r"   r#   r.  Z  s   c                 S   s   t | }t | ||S r&   )r[   rZ  r  r  r"   r"   r#   r.  `     
c                 S   s<   | j |j kr
tdt| D ]\}}t||||< q|S )Nzinvalid output shape)ry   rw   r[   rg  r  )r'   r  r   ri  r   r"   r"   r#   r.  e  s
   r  )	r
   r   rO   r   r   r   r   r  r   )r'   r  r   r   r.  r"   r"   r#   impl_np_round5  s4   





r  c                 C   s8   t | tjrdd }|S t | tjrdd }|S td)Nc                 S   s$   | dkrd} | t j9 } t | |  S )Nrf  g#B;)r[   pisinro  r"   r"   r#   r.  q  s   
zimpl_np_sinc.<locals>.implc                 S   s0   t | }t | D ]\}}t |||< q
|S r&   )r[   r  rg  sinc)rp  r   ri  r   r"   r"   r#   r.  x  s   
z,Argument "x" must be a Number or array-like.)rO   r   r\  r   r   r  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r=| j}t|tjr)|j	nt|tj
r2|nd S dfdd	}|S td|  )N   Fc                    s(   |rt | j| j  S t | j| jS r&   )r[   arctan2r   r   )r  deg)deg_multr"   r#   r.    s   zov_np_angle.<locals>.implc                    s6   t j|  d}t | D ]\}}t ||||< q|S r  )r[   r  rg  angle)r  r  r   ri  r   )	ret_dtyper"   r#   r.    s   z6Argument "z" must be a complex or Array[complex]. Got r  )floatr[   r  rO   r   r\  r   r   r   underlying_floatr   r   )r  r  r.  r   r"   )r  r  r#   ov_np_angle  s    r  zarray.nonzeroc                    s  |j d }|j}|j|j}t| |d }t |j}t |j}	|j	}
|j
}tjd}tjd}t |}t ||jD}t |
||	||}t ||} |j|} |    ||| W d    n1 sw   Y  W d    n1 sw   Y   |f fddt|D } fdd|D }dd |D }t |}t ||jk}t |
||	||}t ||} |j|} |; |s|f} |}t|D ]}t || dd|g}t || | q  ||| W d    n	1 s'w   Y  W d    n	1 s7w   Y   |j|}t |j|S )	Nr   r%   c                    s   g | ]}t   qS r"   )r   	_getvalue)r/  r(   r3   rl   	out_shapeoutarytyr"   r#   r2    s    z!array_nonzero.<locals>.<listcomp>c                    s   g | ]
}t  |qS r"   )r   r/  r   )r3   rl   r  r"   r#   r2    s    c                 S   s   g | ]}|j qS r"   )r;   r  r"   r"   r#   r2    s    r"   C)r5   ri   r   r  r   r   unpack_tuplery   stridesr;   layoutr.   r   r/   alloca_once_value	loop_nestr|   get_item_pointer2r   is_trueif_thenstorer.  loadr-   r   
make_tupler   )rl   r3   rm   r5   arytyr   noutsr  ry   r  r;   r  rb   r  r  indicesptrr   nzoutsoutarys	out_datasri  curr(   r7   r"   r  r#   array_nonzero  sh   
	
r  c                        fdd}|S )Nc                    s,   t | }t | }| r|S |S r&   )r[   rO  rf  )	conditionrp  r  x_y_r  r"   r#   r.    s   z)_where_zero_size_array_impl.<locals>.implr"   )r   r.  r"   r  r#   _where_zero_size_array_impl  s   r  c                 C   s0   t | D ]\}}|r|| n|| ||< q|S r&   )r[   rg  )condrp  r  rn   r   r_   r"   r"   r#   _where_generic_inner_impl  s   r  c           	      C   sH   | j }|j }|j }|j }t| jD ]}|| r|| n|| ||< q|S r&   )r   r-   r   )	r  rp  r  rn   cfxfyfrfr(   r"   r"   r#   _where_fast_inner_impl  s   r  c                    s$   dhdhfv  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}
rOt|||	|
S t|||	|
S )Nr  r$  r  )	r[   rO  r  ry   r  r   r  r  r  )r  rp  r  cond1x1y1ry   cond_r  r  rn   r   r  use_faster_implr"   r#   r.    s   "z!_where_generic_impl.<locals>.implr"   )r   r  r.  r"   r  r#   _where_generic_impl  s   r  c                 C   s    t | s
d}t|dd }|S )N+The argument "condition" must be array-likec                 S   s   t |  S r&   )r[   rO  r  )r  r"   r"   r#   where_cond_none_none  r  z)ov_np_where.<locals>.where_cond_none_none)r
   r   )r  r   r  r"   r"   r#   ov_np_where  s
   r  c                    s   t | s
d}t|t|st|rtdt||fdD ]\}}t |s.d}t||qt| tj}t|tj}t|tj}|rt|}	t|}
t	
|	|
}dd  t fdd| ||fD }|rit|S | j}|r|r|j|j  kr}| jkrn n|j}nd	}t||S d
d }|S )Nr  z"Argument "x" or "y" cannot be Nonerw  z0The argument "{}" must be array-like if providedc                 S   s"   t | tjpt | tjo| jdkS r   )rO   r   r\  r   rv   argr"   r"   r#   check_0_dim;  s   z$ov_np_where_x_y.<locals>.check_0_dimc                    s   g | ]} |qS r"   r"   )r/  r'   r  r"   r#   r2  >  r5  z#ov_np_where_x_y.<locals>.<listcomp>r  c                 S   s    t t | t |t |S r&   )r[   r  rO  )r  rp  r  r"   r"   r#   r.  J  s    zov_np_where_x_y.<locals>.impl)r
   r   r   zipr9  rO   r   r   r  r[   r  r3  r  r  r  )r  rp  r  r   r  r:  cond_arrr  r'  r  rS  r   special_0_caser  r.  r"   r  r#   ov_np_where_x_y  s:   
r  c                 C   r4  )Nc                 S      | j S r&   )r   r   r"   r"   r#   np_real_implQ     znp_real.<locals>.np_real_implr"   )r'   r  r"   r"   r#   np_realO     r  c                 C   r4  )Nc                 S   r  r&   )r   r   r"   r"   r#   np_imag_implY  r  znp_imag.<locals>.np_imag_implr"   )r'   r  r"   r"   r#   np_imagW  r  r  c                 C   s   t | tjsd S dd }|S )Nc                 S   s"   t | D ]	}||kr dS qdS r   )r[   r\   )r^   r  rp  r"   r"   r#   np_contains_implg  r7  z%np_contains.<locals>.np_contains_implr   )r^   r  r  r"   r"   r#   np_containsb  s   r  c                 C   s4   t | stdt|rddd}|S ddd}|S )Nz3The argument to np.count_nonzero must be array-likec                 S   s   t | }t |dkS r   )r[   r&  rg  r^   rT   arr2r"   r"   r#   r.  v  r  znp_count_nonzero.<locals>.implc                 S   s   |  tj}tj||dS )N)rT   )rf  r[   r   rg  r  r"   r"   r#   r.  {  s   r&   )r
   r   r   )r^   rT   r.  r"   r"   r#   np_count_nonzerop  s   

r  c                 C   rq   r&   r"   ro  r"   r"   r#   ru    r  c                 C   r  r&   r  ro  r"   r"   r#   ru    r  c                    s   t | tjtjfstdt |tjtjtjfr6t |tjr!t nt |jtjs,tdt	  fdd}|S t |tjs@tddd }|S )Nz)arr must be either an Array or a Sequencezobj should be of Integer dtypec                    s>   t t | } | j}t j|t jd} |}d||< | | S )Nr  F)r[   r&  rO  r   onesr   )r^   r  ry  keephandlerr"   r#   np_delete_impl  s   z!np_delete.<locals>.np_delete_implc                 S   sf   t t | } | j}|}|| k s||krtd|dk r"||7 }t | d | | |d d  fS )Nz"obj must be less than the len(arr)r   r%   )r[   r&  rO  r   
IndexErrorconcatenate)r^   r  ry  posr"   r"   r#   np_delete_scalar_impl  s   "z(np_delete.<locals>.np_delete_scalar_impl)
rO   r   r   rs  r   	SliceTypenp_delete_handler_isslicer   r  np_delete_handler_isarray)r^   r  r  r  r"   r  r#   	np_delete  s   r  r%   c                 C   s(   t | tjr| jdkrd S ddd}|S )Nr   r%   c                 S   s0  |dkr|   S |dk rtd| jd }| jd d t|| df }t|| j}|jdkr2|S | d|f}|d|jd f}t|| j}t	|jd D ]D}t	|d D ]}	|||	d f |||	f  ||	< qYt	d|D ]}
t	||
 d D ]}	||	d  ||	  ||	< q{qq|d ||  ||< qQ|S )Nr   z"diff(): order must be non-negativer$  r%   )
r\  rw   ry   r  r[   r   r   r   r'  r-   )r'   r  r   r  r   a2out2workmajorr(   niterr"   r"   r#   	diff_impl  s*   

"znp_diff_impl.<locals>.diff_implr  )rO   r   r   rv   )r'   r  r   r"   r"   r#   np_diff_impl  s   
r  c                 C   sP   t | rt |stdtjtjf}t| |r"t||r"dd }|S dd }|S )Nz3Both arguments to "array_equals" must be array-likec                 S   s   | |kS r&   r"   r  r"   r"   r#   r.    r*   znp_array_equal.<locals>.implc                 S   s2   t | } t |}| j|jkrt | |kS dS r   )r[   rO  ry   r3  r  r"   r"   r#   r.    s
   

)r
   r   r   r[  r\  rO   )r'   rK  acceptedr.  r"   r"   r#   np_array_equal  s   
r  c                 C   s$   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$  )r[   rO  rh  r  sort)ar1ar2auxr  int1dr"   r"   r#   np_intersects1d_impl  s   



z0jit_np_intersect1d.<locals>.np_intersects1d_implr
   r   )r  r  r	  r"   r"   r#   jit_np_intersect1d  s   r  c                 C   sF   t |tjr|jdkrtd| d S t |tjs!td| d S )Nr%   z${0}(): input should have dimension 1z+{0}(): input should be an array or sequence)rO   r   r   rv   rZ  r9  rs  )	func_nameseqr"   r"   r#   validate_1d_array_like  s   
r  c                    s   t d|  t| jtjsd S t|d |d tjfvr/t d| tjt	dd t	dd  ntj
t	dd t	dd  d fd
d	}|S )Nbincount	minlengthc                 S   s   t | t |krtdd S )Nz7bincount(): weights and list don't have the same length)rA   rw   r'   rd  r  r"   r"   r#   validate_inputs!  s   z$np_bincount.<locals>.validate_inputsc                 S   s   | |  || 7  < d S r&   r"   r   r   r   rd  r"   r"   r#   
count_item'     znp_bincount.<locals>.count_itemc                 S   r  r&   r"   r  r"   r"   r#   r  .  rs   c                 S   s   | |  d7  < d S r
  r"   r  r"   r"   r#   r  2  s   r   c                    s   | || |dk rt dt| }|dkr| d nd}td|D ]}| | dk r-t dt|| | }q!t|d |}t|}t|D ]} ||| | | qF|S )Nr   z 'minlength' must not be negativer$  r%   z/bincount(): first argument must be non-negative)rw   rA   r-   r  r[   r  )r'   rd  r  r  r  r(   
out_lengthr   r  r  r  r"   r#   bincount_impl6  s   z"np_bincount.<locals>.bincount_implr   )r  rO   r   r   r  r   r  r[   r   r   r/   )r'   rd  r  r  r"   r  r#   np_bincount  s$   





r  c                    r  )Nc                    s   t |rt|ddD ]}t | |d  s|  S qdS ||k r$|}nd}||k r.|d n|}||krL|| d? } | | |rF|d }n|}||ks4|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$  r%   )r[   r   r-   )r'   r`   v_lastlohir  r(   r  funcr"   r#   searchsorted_innerM  s"   

z)_searchsorted.<locals>.searchsorted_innerr"   )r  r  r"   r  r#   _searchsortedL  s   .r   c                 C   s   | |kS r&   r"   rw  r"   r"   r#   ru    s    leftc                    s   t |d|}|dkrt n|dkrt ntd| t|tjr*d	 fdd	}|S t|tjr9d	 fdd	}|S d	 fdd	}|S )
NrQ   r!  rightz Invalid value given for 'side': c           
         sn   t | }d}|}t|jtj}|jd }t||fD ]\}}	 | | ||||}| }|	| q|S r   )	rA   r[   r   ry   r/   r   r\   r]   itemset)
r'   r`   sider  r  r  r   r  r   outview	loop_implr"   r#   searchsorted_impl  s   
z'searchsorted.<locals>.searchsorted_implc           	         sf   t | }d}|}tt |tj}|d }tt |D ]} | || ||||}|||< || }q|S r   )rA   r[   r   r/   r-   )	r'   r`   r$  r  r  r  r   r  r(   r&  r"   r#   r(    s   
c                    s   t | } | ||d||S r   )rA   )r'   r`   r$  r  r&  r"   r#   r(    s   r!  )r   _searchsorted_left_searchsorted_rightr   rO   r   r   rs  )r'   r`   r$  side_valr(  r"   r&  r#   searchsorted  s    r-  c                    sl   t dd  t dd t dd t| tjr#d fdd		}|S t| tjr4d fd
d		}|S d S )Nc                 S   sl   t | }d}d}|dkr4| d }td|D ]}| | }|o!||k }|o(||k  }|s1|s1td|}q|S )NTr%   r   z3bins must be monotonically increasing or decreasing)rA   r-   rw   )binsr  is_increasingis_decreasingprevr(   r  r"   r"   r#   are_bins_increasing  s   z(np_digitize.<locals>.are_bins_increasingc                 S   s   t |}d}|}|rDt| r't|ddD ]}t||d  s$|  S qdS ||krB|| d? }|| | k r<|d }n|}||ks+|S t| rK|S ||krf|| d? }|| | kr`|d }n|}||ksO|S )Nr   r$  r%   rA   r[   r   r-   rp  r.  r"  r  r  r  r(   r  r"   r"   r#   digitize_scalar  s4   



	z$np_digitize.<locals>.digitize_scalarc                 S   s   t |}d}|}|rAt| r$td|D ]}t|| s!|  S q|S ||kr?|| d? }|| | k r7|}n|d }||ks(|S t| rHdS ||krc|| d? }|| | kr[|}n|d }||ksL|S rW  r3  r4  r"   r"   r#   digitize_scalar_decreasing  s4   

	z/np_digitize.<locals>.digitize_scalar_decreasingFc                    sd    |}t | jt j}t | |fD ]\}}|r"| ||}n| ||}|| q|S r&   )r[   r   ry   r/   r\   r]   r#  )rp  r.  r"  r/  r   r   r%  ri  r2  r5  r6  r"   r#   digitize_impl  s   z"np_digitize.<locals>.digitize_implc                    s^    |}t t| t j}tt| D ]}|r"| | ||||< q| | ||||< q|S r&   )r[   r   rA   r/   r-   )rp  r.  r"  r/  r   r(   r7  r"   r#   r8  '  s   r  )r   rO   r   r   rs  )rp  r.  r"  r8  r"   r7  r#   np_digitize  s   

%
$
r9  r9  c                    sT   t |ttjfr#|d tjfv rtd d fdd	}|S ddd}|S ddd}|S )Nr'  r9  c                    sL    }  }t | D ]}| }||kr|}||k r|}q
t | |||fS r&   )r[   r\   r]   	histogram)r'   r.  r-   bin_minbin_maxr   r`   r'  r"   r#   histogram_impl@  s   z$np_histogram.<locals>.histogram_implc                 S   s   |dkrt d|\}}||kst dt|tj}||kr_|||  }t| D ]4}| }t|| | }	d|	  krC|k rPn n|t|	  d7  < q*||kr^||d   d7  < q*t	|||d }
||
fS )Nr   z0histogram(): `bins` should be a positive integerz;histogram(): max must be larger than min in range parameterr%   )
rw   r[   r  r/   r\   r]   r)  r*  r+  linspace)r'   r.  r-   r;  r<  hist	bin_ratior   r`   rK  
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rqt| D ]=}| }	||	  krC|ksEn q3d}
|d }|
|k rh|
| d d? }|	|| k rb|d }n|}
|
|k sO||
  d7  < q3||fS )Nr%   z-histogram(): bins must increase monotonicallyr   )rA   _rangerw   r[   r  r/   r\   r]   )r'   r.  r-   nbinsr(   r;  r<  r@  r   r`   r  r  r  r"   r"   r#   r>  f  s.   
r9  N)rO   r+  r   r  r  r  )r'   r.  r-   r>  r"   r=  r#   np_histogram7  s   G
;
!rF  )ibetar   machepepsnegepepsnegiexpminexpxminmaxexpxmaxirndngrdepsilontinyhuge	precision
resolutionMachAr)rI  rK  rL  rH  r  rO  r   rM  rJ  nexpnmantrV  rW  rT  bitsrt  )r   r  r[  rp  c                     s|   t dkrd S t dk d tjddd} tjd| tdd tjW d    n1 s+w   Y  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  r$r$d } t| jjd t| j| j  fdd}|S )Nc                       g | ]}t  |qS r"   r  r@  r2  r"   r#   r2    r3  z7_gen_np_machar.<locals>.MachAr_impl.<locals>.<listcomp>r   c                      s   t   S r&   )rX  r"   )_mach_ar_datar"   r#   r.    r*   z1_gen_np_machar.<locals>.MachAr_impl.<locals>.impl)	r/  _mach_ar_supportedwarningswarn_explicitr_  r5   r   filenamelineno)wmsgr.  	np122plus	np_MachArw)rc  r2  r#   MachAr_impl  s   z#_gen_np_machar.<locals>.MachAr_impl)r   re  catch_warningsfilterwarningsDeprecationWarningr[   rX  r   )r   rn  r"   rj  r#   _gen_np_machar  s   rr  c                    s   t  fdd}d S )Nc                    s^   t | d| }t|}z|W n
 ty   Y d S w tfddD   fdd}|S )Nr   c                    ra  r"   r  r@  rb  r"   r#   r2    r3  z6generate_xinfo.<locals>.xinfo_impl.<locals>.<listcomp>c                    s     S r&   r"   r  )	containerr;   r"   r#   r.    r*   z0generate_xinfo.<locals>.xinfo_impl.<locals>.impl)r   r	   rw   r/  )r  nbtynp_dtyper.  attrrs  np_func)r;   r2  r#   
xinfo_impl  s   z"generate_xinfo.<locals>.xinfo_impl)r   )rx  rs  rw  ry  r"   rv  r#   generate_xinfo  s   rz  c                    sh   t dd }ts
|S tjtjB }| |v o||v }|s|S t| }t|}t|| t  fdd}|S )Nc                 S   s.   d}t t| D ]}|| | ||   }q|S r   r-   rA   )r'   rK  accr(   r"   r"   r#   
_innerprod  s   z#_get_inner_prod.<locals>._innerprodc                    s   t |  | S r&   )r[   r  rf  r  r  r"   r#   	_dot_wrap  r  z"_get_inner_prod.<locals>._dot_wrap)r   
_HAVE_BLASr   real_domaincomplex_domainr	   r[   r  )dtadtbr}  fltyfloatsa_dtb_dtr  r"   r~  r#   _get_inner_prod  s   
r  c                 C   s*   t | tjr| jdkstd| d S d S )Nr%   z!%s() only supported on 1D arrays )rO   r   r   rv   r   )r'   r  r"   r"   r#   
_assert_1d  s
   
r  c                 C   r  r&   r"   )ap1ap2mode	directionr"   r"   r#   _np_correlate_core  r~  r  c                   @   s   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%   ru   N)__name__
__module____qualname____doc__VALID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r*|| d }d}d}	n| jkr>|d }	|d }|| d }ntdt|}
|| }|dkrUd}d}n|dkr`|d }d}ntdt|D ]}| d |d  ||d  d  |
|< || }qht|| d D ]}| |||  ||
|< || }qt|	ddD ]}| | d  |d | |
|< || }q|
S )NzInvalid moder%   r   r$  zInvalid direction)r  r  rw   rA   r[   r  r-   )r  r  r  r  n1n2r  r  n_leftn_rightr  r   incr(   Moder  	innerprodr"   r#   r.    sD   	

(

 
z%_np_correlate_core_impl.<locals>.impl)r	   r   r[   r  r  r  )r  r  r  r  r  r  r.  r"   r  r#   _np_correlate_core_impl  s   

4r  c                    s   t | d t |d tdd }tdd }t | jtjv r.|jtjv r)||n||n|jtjv r9||n|| fdd}|S )Nznp.correlatec                 S   r  r&   )r[   r   ro  r"   r"   r#   op_conjQ  s   
z_np_correlate.<locals>.op_conjc                 S   rq   r&   r"   ro  r"   r"   r#   op_nopU  rs   z_np_correlate.<locals>.op_nopc                    sh   t | }t |}|dkrtd|dkrtd||k r(t||  jdS t| | jdS Nr   z'a' cannot be emptyz'v' cannot be emptyr$  r%   )rA   rw   r  r  r'   r`   lalvr  a_opb_opr"   r#   r.  j  s   z_np_correlate.<locals>.impl)r  r   r  r   r   r  )r'   r`   r  r  r.  r"   r  r#   _np_correlateL  s(   



r  c                    s(   t | d t |d t  fdd}|S )Nznp.convolvec                    sl   t | }t |}|dkrtd|dkrtd||k r)t|| d d d  jdS t| |d d d  jdS r  )rA   rw   r  r  r  r  r"   r#   r.    s   znp_convolve.<locals>.impl)r  r  )r'   r`   r.  r"   r  r#   np_convolvey  s
   

r  c                    s6  t | sd S d }t| tjr&t|s| j|jkrd
dd}|S d
dd}|S t| tjtjfrAt|r:d
dd}|S d
dd}|S t| tjtj	fr_t|rP| n|}t
|d
fdd	}|S t| tjjrt| jtjtj	fsttdt|r{| jn|d
fdd	}|S t| tjrt| j d
 fd	d	}|S )Nc                 S   rq   r&   r"   r'   r   r"   r"   r#   r.    r~  znp_asarray.<locals>.implc                 S   s
   |  |S r&   )rf  r  r"   r"   r#   r.    rI   c                 S   r  r&   r  r  r"   r"   r#   r.    rI   c                 S   s   t | |S r&   r  r  r"   r"   r#   r.    r   c                       t |  S r&   r  r  rx  r"   r#   r.    r   z?asarray support for List is limited to Boolean and Number typesc                    s4   t | }tj| d}t| D ]\}}|||< q|S r  )rA   r[   r   r   )r'   r   r  r  r(   r`   )target_dtyper"   r#   r.    s
   
c                    s      S r&   )r\  r  r  r"   r#   r.    r*   r&   )r
   rO   r   r   r   r   rs  rR   r\  r[  r	   
containersListTyper   StringLiteralr[   rO  rQ   )r'   r   r.  dt_convr"   )r^   r  r4  r#   
np_asarray  s@   
)
&

r  c                    sD   t |tjr
t|}t|tjstj n| tjf fdd	}|S )Nc                    r  r&   r  r  r  r"   r#   r.    r   znp_asfarray.<locals>.impl)rO   r   Typer	   r[   r  inexactr   )r'   r   r.  r"   r  r#   np_asfarray  s   r  c                 C   s   dd }|S )Nc                    s   t |  t |  jdkrtdt  jd  r+j jkr+d}t|t jj} fddt|D }t |S )Nr   z"Cannot extract from an empty arrayz+condition shape inconsistent with arr shapec                    s   g | ]}| r j | qS r"   r  )r/  r   r'   r  r"   r#   r2    s    z7np_extract.<locals>.np_extract_impl.<locals>.<listcomp>)	r[   rO  r!  r   rw   r`  r   r-   r  )r  r^   r   max_lenr   r"   r  r#   np_extract_impl  s   

 
z#np_extract.<locals>.np_extract_implr"   )r  r^   r  r"   r"   r#   
np_extract  s   r  c                 C   sF  ddd}t | tjtjfstdt |tjtjfstdt |ttjtjfs-tdt | d tjs9tdt |d tjsEtdt | d tjrZt | d j	tjsZtd	t | d tjrxt | d tjrtt | d d tjsxtd
t | d tjr| d j
|d j
krtdt | d tjr| d j
dk rtd|S )Nr   c                 S   sp   t | t |krtd|t|d j|d j }tt | d ddD ]}| | }|| }t|||}q$|S )Nz7list of cases must be same length as list of conditionsr   r%   r$  )rA   rw   r[   r  ry   r   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$choicelist must be a List or a Tuplez,default must be a scalar (number or boolean)z items of condlist must be arraysz"items of choicelist must be arraysz%condlist arrays must contain booleansz*condlist tuples must only contain booleanszHcondlist and choicelist elements must have the same number of dimensionsr%   z/condlist arrays must be of at least dimension 1r  )rO   r   ListrB   r   r+  r\  r[  r   r   rv   )r  r  r  r  r"   r"   r#   	np_select  s4   
r  c                 C   sT   t | rt |stdd| jjv sd|jjv r$| jj|jjkr$tddd }|S )Nz.The arguments to np.union1d must be array-likeunichrz/For Unicode arrays, arrays must have same dtypec                 S   s4   t t | }t t |}t t ||fS r&   )r[   r&  rO  rh  r  )arr1r  r'   rK  r"   r"   r#   
union_impl,  s   znp_union1d.<locals>.union_impl)r
   r   r   r:  )r  r  r  r"   r"   r#   
np_union1d$  s   r  c                    sh   d}t | tjtjtjfst|t|r| j nzt| W n t	y*   tdw d fdd	}|S )Nz7The argument to np.asarray_chkfinite must be array-likez!dtype must be a valid Numpy dtypec                    s4   t j|  d} t | D ]}t |stdq| S )Nr  z#array must not contain infs or NaNs)r[   rO  r\   r&  rw   )r'   r   r(   r~  r"   r#   r.  C  s   
z"np_asarray_chkfinite.<locals>.implr&   )
rO   r   r   rs  rR   r   r   r   r	   r   )r'   r   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<  ru   r   r%   )r[   rb  r  
less_equalrz  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<  ru   gzG?r   r%   g{Gz?r  r[   rb  cosr  r  r"   r"   r#   np_blackman_impl[  s   r  c                 C   s2   t d|  | d}ddt t j| | d    S )Nr%   ru   gHzG?gq=
ףp?r  r  r"   r"   r#   np_hamming_implb      r  c                 C   s2   t d|  | d}ddt t j| | d    S )Nr%   ru   r   r  r  r"   r"   r#   np_hanning_implh  r  r  c                    r  )Nc                    s$   t | tjs
td fdd}|S )NM must be an integerc                    s8   | dk rt jdt jdS | dkrt jdt jdS  | S )Nr%   r"   r  )r[   r  float_r  )rz  r  r"   r#   window_impls  s
   z>window_generator.<locals>.window_overload.<locals>.window_impl)rO   r   r  r   )rz  r  r  r"   r#   window_overloado  s   z)window_generator.<locals>.window_overloadr"   )r  r  r"   r  r#   window_generatorn  s   r  )g4!\Tg}b3<gr넱g^<g"P
g'&&KF5=gbLag$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   rf  r%   r   r{  )rp  valsb0b1r(   b2r"   r"   r#   _chbevl  s   r  c                 C   s\   | dk r|  } | dkrd|  d }t | t|t S t | td|  d t t |  S )Nr   g       @r   r  g      @@)r[   expr  _i0A_i0BrW  rw  r"   r"   r#   _i0  s   &r  c                 C   sb   t j| t jd}tt |}tt|D ]}t|t d| | | | d   | ||< q|S )Nr  r%   r  )r[   rZ  r  r  r-   rA   rW  )r  alphabetar  tr(   r"   r"   r#   _i0n  s
   0r  c                 C   s:   t | tjs
tdt |tjtjfstddd }|S )Nr  z beta must be an integer or floatc                 S   sT   | dk rt jdt jdS | dkrt jdt jdS t d| }| d d }t|||S )Nr%   r"   r  r   r  )r[   r  r  r  rb  r  )rz  r  r  r  r"   r"   r#   np_kaiser_impl  s   z!np_kaiser.<locals>.np_kaiser_impl)rO   r   r  r   r   )rz  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$  rt   .ru   r   )ry   r[   ri  r   r|   )rp  x0r  x2r"   r"   r#   _cross_preprocessing  s   

z._cross_operation.<locals>._cross_preprocessingr  r  r  )r[   ri  )r'   rK  r   r  a0a1r  r  r  r  cp0cp1cp2r"   r"   r#   _cross_operation  s   	r  c                 C   r  r&   r"   r  r"   r"   r#   _cross  r~  r  c                    sL   t t| jt|j | jdkr|jdkr fdd}|S  fdd}|S )Nr%   c                    s   t d }t| || |S )Nrt   )r[   r   r  )r'   rK  cpr  r"   r#   r.    s   z_cross_impl.<locals>.implc                    s6   t | d |d j}t |d  }t| || |S )Nr  r  )r[   r.  ry   r   r  )r'   rK  ry   r  r  r"   r#   r.     s   )r[   r  r	   r   rv   r'   rK  r.  r"   r  r#   _cross_impl  s   
r  c                 C   $   t | rt |stddd }|S )NInputs must be array-like.c                 S   sf   t | }t |}|jd dvs|jd dvrtd|jd dks*|jd dkr/t||S td)Nr$  )ru   rt   zDIncompatible dimensions for cross product
(dimension must be 2 or 3)rt   zDimensions for both inputs is 2.
Please replace your numpy.cross(a, b) call with a call to `cross2d(a, b)` from `numba.np.extensions`.)r[   rO  ry   rw   r  r'   rK  r  r  r"   r"   r#   r.  -  s   


znp_cross.<locals>.implr
  r  r"   r"   r#   np_cross(  s   r  c                 C   sB   dd }|| \}}||\}}t ||t || }t |S )Nc                 S   s   | d }| d }||fS )Nr  r  r"   )rp  r  r  r"   r"   r#   r  D  s   z0_cross2d_operation.<locals>._cross_preprocessing)r[   ri  rO  )r'   rK  r  r  r  r  r  r  r"   r"   r#   _cross2d_operationA  s
   
r  c                 C   r  r&   r"   r  r"   r"   r#   cross2dU  r~  r  c                 C   r  )Nr  c                 S   sB   t | }t |}|jd dks|jd dkrtdt||S )Nr$  ru   zRIncompatible dimensions for 2D cross product
(dimension must be 2 for both inputs))r[   rO  ry   rw   r  r  r"   r"   r#   r.  ^  s   


zcross2d_impl.<locals>.implr
  r  r"   r"   r#   cross2d_implY  s   
r  r&   rY  rl  r  r   r  r  r  r   rO  r]  r  r)  rE  (r  r  r)  collectionsr   enumr   r  re  llvmlite.irr  numpyr[   
numba.corer   r   numba.core.extendingr   r   r   numba.np.numpy_supportr	   r
   r   r   r   r   numba.core.imputilsr   r   r   r   numba.np.arrayobjr   r   r   r   numba.np.linalgr   r   numba.core.errorsr   r   r   r   r   r   numba.cpython.unsafe.tupler   r$   r  rF   rX   rg  r   ro   rr   r   r/   	DTypeSpecIntegerLiteralr   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r  r  r  r  r  r  r  r   r"  r#  r  r0  r2  r3  r8  rG  rH  r_  r`  rb  averagern  rr  	iscomplexrx  isrealrz  r  r  isscalarr  r  r  r  r  r  r  r  r  r  r  r  r  r  nanminr  nanmaxr  r  r  r  r  nanstdr  nansumr  nanprodr  
nancumprodr  	nancumsumr  r  r  r  r  r  r  r  r  r  r  r	  r  r  _partition_w_nan_argpartition_w_nanr  r  r]  rc  r  r   medianr#  r5  r8  r<  rA  rC  rF  rM  r-  rQ  nanpercentilerS  quantilerU  nanquantilerV  	nanmedianrY  ra  re  rj  	partitionru  r  rx  r|  r  r~  r  r  trilr  r  r  tril_indices_fromr  r  triur  r  r  triu_indices_fromr  r  r  r  ediff1dr  r  r  r  r  trapzr  r  r  vanderr  rollr  r  r  r  r  interpr  r  r"  r#  r,  r-  rQ  r  r;  r<  rP  r?  rF  rI  rJ  rU  rT  corrcoefr_  argwhererf  flatnonzerorg  rj  rk  rn  rs  rv  r  r  ry  fill_diagonalr  r  r  r  aroundr  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r   r  r   r  containsr  count_nonzeror  r  r  deleter  r  r  array_equalr  intersect1dr  r  r  r  r   _lt_ler*  r+  r-  digitizer9  r-   rC  r:  rF  rd  rX  _finfo_supportedrt  _iinfo_supportedrp  rr  rz  r  r  r  r  r  	correlater  convolver  rO  r  asfarrayr   r  extractr  selectr  union1dr  asarray_chkfiniter  r  r  r  r  r  bartlettblackmanhamminghanningr  r  r  r  r  r  kaiserr  r  r  r  crossr  r  r  r  r"   r"   r"   r#   <module>   s     	
(
K

A'(









/
/






,



B

$



	



"




)
















1



4












"




7


'DmX+'
:$


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




5


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

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