o
    寪g1                    @   s
  d Z ddlZddlZddlZddlZddlZddlZddlZddlZ	ddlm
Z
mZmZmZmZmZmZmZ ddlmZ ddlmZmZmZmZ ddlmZ ddlmZmZmZmZmZ ddlm Z  dd	l!m"Z"m#Z#m$Z$m%Z%m&Z&m'Z'm(Z(m)Z)m*Z*m+Z+ zddl,ZW n	 e-y   Y nw d
d Z.e&Z/dddZ&dd Z0dd Z1dd Z2h dZ3G dd dZ4dd Z5e	j67d g Z8e8e5de4de
ddgd d!gged"e
ddged"e4d#e
ddgd d!gged"e
ddged"e4d$e
ddgd d!gged"e
g d%g d&ged"e4d'e
d(d)gd*d+gged"e
d,d(ged"e4d-e
d(d)gd*d+gged"e
d,d(ged"e4d.e
d(d)gd*d+gged"e
g d/g d0ged"e4d1e	j9d2ed"e	j9d3ed"d4hd5e4d6e	j6:d7d7e	j6:d7e4d8e	j6:d9d9e	j6:d9e4d:d9d;gd<d=ggd;d9gg
7 Z8e8e5d>e4d?e
g d@g d&ged"e
ddged"e4dAe
ddgd d!gdBdCgged"e
g dDed"e4dEe
g d@g d&ged"e
ddged"e4dFe
ddgd d!gdBdCgged"e
g dDed"e4dGe
g dHg dIged"e
d,d(ged"e4dJe
dKdLgdMdNgdOdPgged"e
g dQed"e4dRe
g dHg dIged"e
d,d(ged"e4dSe
dKdLgdMdNgdOdPgged"e
g dQed"e4dTe
g dHg dIged"e
d,d(gdUdVgged"e4dWe
dKdLgdMdNgdOdPgged"e
d,d(gdUdVgdUdVgged"e4dXe	j6:d7dYe	j6:d7e4dZe	j6:d9d[e	j6:d9e4d\e	j6:d[d9e	j6:d[e4d]e	j6:dd=e	j6:dd4hd5e4d^e	j6:d=de	j6:d=d4hd5g7 Z8e8e5d_e4d`e
ddgddgged"de4dae
ddgddgged"de4dbe
dd)gdcd9gged"de4dde
dd)gdcd9gged"de4dee	j9d2ed"dd4hd5e4dfd9d;gd;d9ggde4dge
ddgddggde4dhe	j6:d9d9dg7 Z8didj Z;e8e; 7 Z8dkdl Z<dmdn Z=e8e= 7 Z8G dodp dpZ>G dqdr dre>Z?G dsdt dte>Z@G dudv dve>ZAG dwdx dxe>ZBG dydz dze>ZCG d{d| d|e>ZDd}d~ ZEdd ZFG dd de?eBZGG dd deGZHG dd de?eBZIG dd deIZJG dd de?eBZKG dd deKZLG dd de?eBZMG dd deMZNG dd dZOG dd de?eBZPG dd dePeOZQG dd deAeDZRG dd deReOZSG dd de?eBZTG dd deTZUG dd de?e@eBeCZVG dd deVZWG dd deAeDZXG dd deXZYG dd de?eBZZG dd deZZ[G dd de?e@Z\G dd de\Z]ej^_ddd dD G dd dZ`G dd deAeDZaG dd dZbG dd deAeDZcG dd dZdG dd dZeG dd deeZfG dd deeZgG ddĄ degefZhG ddƄ dƃZiG ddȄ deeZjG ddʄ deeZkG dd̄ deeZlG dd΄ dehejZmG ddЄ dehekZnG dd҄ dehelZoG ddԄ dԃZpddք ZqG dd؄ d؃ZrG ddڄ dڃZsdd܄ Ztej^jue+ddލdd Zvdd Zwej^jue+ddލej^jxdd ZyG dd dZzG dd dZ{G dd dZ|dd Z}ej^j~ddލdd Zej^je* ddލdd ZdS )z# Test functions for linalg module

    N)arraysingledoublecsinglecdoubledotidentitymatmul)swapaxes)multiply
atleast_2dinfasarray)linalg)matrix_powernormmatrix_rank	multi_dotLinAlgError)_multi_dot_matrix_chain_order)
assert_assert_equalassert_raisesassert_array_equalassert_almost_equalassert_allclosesuppress_warningsassert_raises_regexHAS_LAPACK64IS_WASMc                 C   s$   t | t|tjrt |u S tju S N)type
isinstancenpndarray)outin_ r'   Z/var/www/html/chatdoc2/venv/lib/python3.10/site-packages/numpy/linalg/tests/test_linalg.pyconsistent_subclass!   s   r)         c                 K   s8   t | jjttfv r|}n|}t| |fd|i| d S )Ndecimal)r   dtyper!   r   r   old_assert_almost_equal)absingle_decimaldouble_decimalkwr,   r'   r'   r(   r   +   s   r   c                 C   s   t t tttt tti|  S r    )r   r   r   r   r-   r'   r'   r(   get_real_dtype3   
   r5   c                 C   s   t ttttttti|  S r    )r   r   r   r   r4   r'   r'   r(   get_complex_dtype8   r6   r7   c                 C   s   | t tfv rdS dS )Ngh㈵>gdy=)r   r   r4   r'   r'   r(   get_rtol=   s   r8   >   squarestrided	hermitian	nonsquaregeneralizedsize-0c                   @   s*   e Zd Ze fddZdd Zdd ZdS )
LinalgCasec                 C   s.   t t|t || _|| _|| _t|| _dS )z
        A bundle of arguments to be passed to a test case, with an identifying
        name, the operands a and b, and a set of tags to filter the tests
        N)r   r"   strnamer/   r0   	frozensettags)selfrA   r/   r0   rC   r'   r'   r(   __init__M   s
   zLinalgCase.__init__c                 C   s   || j | j| jd dS )zN
        Run the function `do` on this test case, expanding arguments
        rC   N)r/   r0   rC   )rD   dor'   r'   r(   checkX   s   zLinalgCase.checkc                 C   s   d| j  dS )Nz<LinalgCase: >)rA   rD   r'   r'   r(   __repr__^   s   zLinalgCase.__repr__N)__name__
__module____qualname__setrE   rH   rK   r'   r'   r'   r(   r?   L   s    r?   c                 C   s,   | t v sJ d|D ]	}|j| hB |_q
|S )z^
    Add the given tag (a string) to each of the cases (a list of LinalgCase
    objects)
    zInvalid tag)all_tagsrC   )tagcasescaser'   r'   r(   	apply_tagb   s   rT     r9   r         ?       @      @      @r4   r   double_2)rW   rV   rY   )rX   rY         @r         ?       @y       @      @y      @      @y      @      @       @      ?r   	cdouble_2)r]   r\   y      ?      @)y      ?       y      ?      y      ?      0x0r   r   r   r>   rF   8x8   1x1   nonarray         r<   single_nsq_1)rV   rW   rX   single_nsq_2g      @r[   )rW   rV   rX   double_nsq_1double_nsq_2csingle_nsq_1)      ?      ?       @       @      @      )y      @      y      @      "@y      @       @csingle_nsq_2ro   rp   rq   y      @      "y      @      y      @       @)r]   r\   rq   cdouble_nsq_1cdouble_nsq_2cdouble_nsq_1_2y      ?      y       @       cdouble_nsq_2_28x11   1x5   5x10x44x0r;   hsinglehdoublehcsingley       @      hcdoublehempty	hnonarraymatrix_b_onlyhmatrix_1x1c                  C   s  g } t D ]}t|jtjsqt|jd|j d|j g}|jd u r%d }nt|jd|j d|j g}t|jd |||j	dhB d}| 
| t|jgd d d|jj }|jd u rbd }nt|jgd d d|jj }t|jd	 |||j	dhB d}| 
| q| S )
Nrg   rh      r*   _tile3r=   rF   rh   rg   _tile213)CASESr"   r/   r#   r$   r   r0   r?   rA   rC   appendreshapeshape)	new_casesrS   r/   r0   new_caser'   r'   r(   _make_generalized_cases   s*   


$
$
r   c                 c   s   t | tjs| dfV  dS dg| j }d|d< | jdkr!d|d< | jdkr*d	|d
< tjt| D ]}dd t| j|D }tdd |D }tj	|| j
d}|tjd || }| |d< || j}tt|| k |dddd |D  fV  | jdkr| jd dkrt| j}d|d< tjjj| |d}|dfV  | jdkr| jd dkrt| j}d|d< tjjj| |d}|dfV  | jdkr| jdd dkrt| j}d|d< d|d< tjjj| |d}|dfV  q1dS )z<
    Generate cartesian product of strides for all axes
    nopNre   )re   rh   re   rg   )re   r   c                 S   s   g | ]
\}}t || qS r'   )abs).0r/   r0   r'   r'   r(   
<listcomp>%  s    z%_stride_comb_iter.<locals>.<listcomp>c                 S   s   g | ]}t d d |qS r    )slice)r   repeatr'   r'   r(   r   &  s    r4   l   >[= .stride__c                 S   s   g | ]}d | qS )z%+dr'   )r   jr'   r'   r(   r   /  s    r   )stridesstride_xxx_0stride_xxx_0_xre   re   stride_xxx_0_0)r"   r#   r$   ndim	itertoolsproducttuplezipr   emptyr-   viewuint32fill	__class__r   alljoinlistr   libstride_tricks
as_strided)x
stride_setrepeats	new_shapeslicesxisr'   r'   r(   _stride_comb_iter  sL   








r   c               	   C   sn   g } t D ]0}t|jD ](\}}t|jD ]\}}t|jd | d | |||jdhB d}| | qqq| S )Nr   r:   rF   )r   r   r/   r0   r?   rA   rC   r   )r   rS   r/   a_labelr0   b_labelr   r'   r'   r(   _make_strided_casesD  s   
r   c                   @   s"   e Zd ZeZe e fddZdS )LinalgTestCasec                 C   sv   | j D ]5}|j|@ |krq|j|@ rqz|| j W q ty8 } zd|d}|t 7 }t||d}~ww dS )zx
        Run func on each of the cases with all of the tags in require, and none
        of the tags in exclude
        zIn test case: z

N)
TEST_CASESrC   rH   rG   	Exception	traceback
format_excAssertionError)rD   requireexcluderS   emsgr'   r'   r(   check_casesX  s   


zLinalgTestCase.check_casesN)rL   rM   rN   r   r   rO   r   r'   r'   r'   r(   r   U  s    r   c                   @      e Zd Zdd Zdd ZdS )LinalgSquareTestCasec                 C      | j dhddhd d S )Nr9   r=   r>   r   r   r   rJ   r'   r'   r(   test_sq_casesn     
z"LinalgSquareTestCase.test_sq_casesc                 C      | j ddhdhd d S )Nr9   r>   r=   r   r   rJ   r'   r'   r(   test_empty_sq_casesr     

z(LinalgSquareTestCase.test_empty_sq_casesN)rL   rM   rN   r   r   r'   r'   r'   r(   r   l      r   c                   @   r   )LinalgNonsquareTestCasec                 C   r   )Nr<   r=   r>   r   r   rJ   r'   r'   r(   test_nonsq_casesy  r   z(LinalgNonsquareTestCase.test_nonsq_casesc                 C   r   )Nr<   r>   r=   r   r   rJ   r'   r'   r(   test_empty_nonsq_cases}  r   z.LinalgNonsquareTestCase.test_empty_nonsq_casesN)rL   rM   rN   r   r   r'   r'   r'   r(   r   w  r   r   c                   @   r   )HermitianTestCasec                 C   r   )Nr;   r=   r>   r   r   rJ   r'   r'   r(   test_herm_cases  r   z!HermitianTestCase.test_herm_casesc                 C   r   )Nr;   r>   r=   r   r   rJ   r'   r'   r(   test_empty_herm_cases  r   z'HermitianTestCase.test_empty_herm_casesN)rL   rM   rN   r   r   r'   r'   r'   r(   r     r   r   c                   @   ,   e Zd Zejjdd Zejjdd ZdS )LinalgGeneralizedSquareTestCasec                 C   r   )Nr=   r9   r>   r   r   rJ   r'   r'   r(   test_generalized_sq_cases     

z9LinalgGeneralizedSquareTestCase.test_generalized_sq_casesc                 C      | j h dd d S )N>   r9   r=   r>   r   r   rJ   r'   r'   r(   test_generalized_empty_sq_cases     z?LinalgGeneralizedSquareTestCase.test_generalized_empty_sq_casesN)rL   rM   rN   pytestmarkslowr   r   r'   r'   r'   r(   r     
    
r   c                   @   r   )"LinalgGeneralizedNonsquareTestCasec                 C   r   )Nr=   r<   r>   r   r   rJ   r'   r'   r(   test_generalized_nonsq_cases  r   z?LinalgGeneralizedNonsquareTestCase.test_generalized_nonsq_casesc                 C   r   )N>   r<   r=   r>   r   r   rJ   r'   r'   r(   "test_generalized_empty_nonsq_cases  r   zELinalgGeneralizedNonsquareTestCase.test_generalized_empty_nonsq_casesN)rL   rM   rN   r   r   r   r   r   r'   r'   r'   r(   r     r   r   c                   @   r   )HermitianGeneralizedTestCasec                 C   r   )Nr=   r;   r>   r   r   rJ   r'   r'   r(   test_generalized_herm_cases  r   z8HermitianGeneralizedTestCase.test_generalized_herm_casesc                 C   s   | j h ddhd d S )N>   r;   r=   r>   noner   r   rJ   r'   r'   r(   !test_generalized_empty_herm_cases  r   z>HermitianGeneralizedTestCase.test_generalized_empty_herm_casesN)rL   rM   rN   r   r   r   r   r   r'   r'   r'   r(   r     r   r   c                 C   s   t | } | jdkrZ| j|jkr| jd d |jdd   }n| j|jd kr.| jd d }ntdtj|t| |d}tjt	t
| jd d  D ]}t| | || ||< qJ|S t| |S )Nrh   r   re   zNot implemented...r4   r   )r   r   r   
ValueErrorr#   r   common_typer   r   mapranger   )r/   r0   r   rcr'   r'   r(   dot_generalized  s   

r   c                 C   sH   t | } | jdkrtj| j| jd}t| jd |d< |S t| jd S )Nrh   r4   r   .r   )r   r   r#   r   r   r-   r   )r/   r   r'   r'   r(   identity_like_generalized  s   
r   c                   @      e Zd Zdd ZdS )
SolveCasesc                 C   s.   t ||}t|t|| tt|| d S r    )r   solver   r   r   r)   )rD   r/   r0   rC   r   r'   r'   r(   rG     s   zSolveCases.doNrL   rM   rN   rG   r'   r'   r'   r(   r         r   c                   @   s:   e Zd Zejdeeee	gdd Z
dd Zdd ZdS )		TestSolver-   c                 C   s2   t jddgddgg|d}tt||j| d S Nre         ?r4   )r#   r   r   r   r   r-   rD   r-   r   r'   r'   r(   
test_types  s   zTestSolve.test_typesc              	   C   s.  G dd dt j}t dddd}t dddd|}t||d d ddd d f }t|d d ddddf |d d ddd d f }t|| tt	|| t
tjtj|d d ddddf | t
ttj||d d ddd d f  t dddd}t
ttj|| t
ttj|dd |dd  t ddd|}t||d d ddf }t|d d ddddf |d d ddf }t|| tt	|| t ddd}t
ttj|| t
ttj|dd |dd  t
ttj|d d ddddf | d S )	Nc                   @      e Zd ZdS )z,TestSolve.test_0_size.<locals>.ArraySubclassNrL   rM   rN   r'   r'   r'   r(   ArraySubclass      r  rc   rg   r*   re   rh   r   )r#   r$   aranger   r   r   r   r   r   r"   r   r   r   rD   r  r/   r0   expectedresultr'   r'   r(   test_0_size  s*   "8
(& 2
 *zTestSolve.test_0_sizec                 C   s  G dd dt j}t dddd}t dddd|}t||d d d d ddf }t||d d d d ddf }t|| tt	|| t||d d ddddf }t|d d ddddf |d d ddddf }t|| tt	|| d S )	Nc                   @   r   )z.TestSolve.test_0_size_k.<locals>.ArraySubclassNr  r'   r'   r'   r(   r     r  r  ri   re   rg   r*   rh   r   )
r#   r$   r  r   r   r   r   r   r   r"   r  r'   r'   r(   test_0_size_k  s   ""
"8
zTestSolve.test_0_size_kN)rL   rM   rN   r   r   parametrizer   r   r   r   r   r  r	  r'   r'   r'   r(   r     s
    
!r   c                   @   r   )InvCasesc                 C   s0   t |}tt||t| tt|| d S r    )r   invr   r   r   r   r)   )rD   r/   r0   rC   a_invr'   r'   r(   rG     s
   

zInvCases.doNr   r'   r'   r'   r(   r    r   r  c                   @   2   e Zd Zejdeeee	gdd Z
dd ZdS )TestInvr-   c                 C   s0   t jddgddgg|d}tt|j| d S r   )r#   r   r   r   r  r-   r   r'   r'   r(   r     s   zTestInv.test_typesc                 C   s   G dd dt j}t jdt jd|}t|}t|jj	t j
u  t|j|j tt|| t jdt jd|}t|}t|jj	t ju  t|j|j tt|| d S )Nc                   @   r   )z*TestInv.test_0_size.<locals>.ArraySubclassNr  r'   r'   r'   r(   r  "  r  r  r   re   re   r4   r`   )r#   r$   zerosint_r   r   r  r   r-   r!   float64r   r   r"   	complex64rD   r  r/   resr'   r'   r(   r     s   

zTestInv.test_0_sizeNrL   rM   rN   r   r   r
  r   r   r   r   r   r  r'   r'   r'   r(   r    s    
r  c                   @   r   )EigvalsCasesc                 C   s&   t |}t |\}}t|| d S r    )r   eigvalseigr   )rD   r/   r0   rC   evevaluesevectorsr'   r'   r(   rG   3  s   
zEigvalsCases.doNr   r'   r'   r'   r(   r  1  r   r  c                   @   r  )TestEigvalsr-   c                 C   s`   t jddgddgg|d}tt|j| t jddgddgg|d}tt|jt| d S Nre   r   r4   r   )r#   r   r   r   r  r-   r7   r   r'   r'   r(   r   :  s   zTestEigvals.test_typesc                 C   s   G dd dt j}t jdt jd|}t|}t|jj	t j
u  td|j tt|t j t jdt jd|}t|}t|jj	t ju  td|j tt|t j d S )Nc                   @   r   )z.TestEigvals.test_0_size.<locals>.ArraySubclassNr  r'   r'   r'   r(   r  C  r  r  r  r4   r   re   r`   ra   )r#   r$   r  r  r   r   r  r   r-   r!   r  r   r   r"   r  r  r'   r'   r(   r  A     

zTestEigvals.test_0_sizeNr  r'   r'   r'   r(   r  9  s    
r  c                   @   r   )EigCasesc                 C   sb   t |}|j|j}}tt||t|t|dd d d f  t|j	d t
t|| d S )N.rtol)r   r  eigenvalueseigenvectorsr   r   r#   r   r8   r-   r   r)   )rD   r/   r0   rC   r  r%  r&  r'   r'   r(   rG   V  s   

 zEigCases.doNr   r'   r'   r'   r(   r"  T  r   r"  c                   @   r  )TestEigr-   c                 C   s   t jddgddgg|d}t j|\}}t|j| t|j| t jddgddgg|d}t j|\}}t|jt| t|jt| d S r  )r#   r   r   r  r   r-   r7   rD   r-   r   wvr'   r'   r(   r   `  s   zTestEig.test_typesc                 C   s   G dd dt j}t jdt jd|}t|\}}t|jj	t j
u  t|jj	t j
u  t|j|j td|j tt|t j t jdt jd|}t|\}}t|jj	t ju  t|jj	t ju  t|j|j td|j tt|t j d S )Nc                   @   r   )z*TestEig.test_0_size.<locals>.ArraySubclassNr  r'   r'   r'   r(   r  n  r  r  r  r4   r   r`   ra   )r#   r$   r  r  r   r   r  r   r-   r!   r  r   r   r"   r  rD   r  r/   r  res_vr'   r'   r(   r  l     zTestEig.test_0_sizeNr  r'   r'   r'   r(   r'  _  s    
r'  c                   @   s.   e Zd ZdZejdeee	e
gdd ZdS )SVDBaseTestsFr-   c                 C   s   t jddgddgg|d}t|}|j|j|j}}}t|j| t|jt	| t|j| tj|d| j
d}t|jt	| d S )Nre   r   r4   F
compute_uvr;   )r#   r   r   svdUSVhr   r-   r5   r;   )rD   r-   r   r  r2  r3  r4  r   r'   r'   r(   r     s   
zSVDBaseTests.test_typesN)rL   rM   rN   r;   r   r   r
  r   r   r   r   r   r'   r'   r'   r(   r.    s    r.  c                   @   r   )SVDCasesc              	   C   sp   t |d\}}}t|tt|t|dd d d f  t|t|jd tt	|| tt	|| d S )NF.r#  )
r   r1  r   r   r#   r   r8   r-   r   r)   )rD   r/   r0   rC   ur   vtr'   r'   r(   rG     s   &zSVDCases.doNr   r'   r'   r'   r(   r5    r   r5  c                   @   r   )TestSVDc                 C   s   t d}tj|d| jd\}}}t|jd t|jd t|t d t d}tj|d| jd\}}}t|jd t|jd t|t d dS )	z6 Empty input should put an identity matrix in u or vh )ri   r   Tr/  ri   ri   r`   ri   )r   ri   N)r#   r   r   r1  r;   r   r   eye)rD   r   r6  r   vhr'   r'   r(   test_empty_identity  s   

zTestSVD.test_empty_identityN)rL   rM   rN   r<  r'   r'   r'   r(   r8    s    r8  c                   @   r   )SVDHermitianCasesc              	   C   s   t j|ddd\}}}t|tt|t|dd d d f  t|t|jd dd }tt	|||t
t|jd |j tt	|||t
t|jd |j tt|dd d df | tt|| tt|| d S )	NFTr;   .r#  c                 S   s<   t t| j}|d |d |d< |d< ttj| |dS )Nr   r   axes)r   r   r   r#   conj	transpose)matr@  r'   r'   r(   r;     s   z'SVDHermitianCases.do.<locals>.hermitianr   )r   r1  r   r   r#   r   r8   r-   r   r	   broadcast_tor:  r   r   sortr   r)   )rD   r/   r0   rC   r6  r   r7  r;   r'   r'   r(   rG     s   &,,zSVDHermitianCases.doNr   r'   r'   r'   r(   r=    r   r=  c                   @   s   e Zd ZdZdS )TestSVDHermitianTN)rL   rM   rN   r;   r'   r'   r'   r(   rF    s    rF  c                   @   r   )	CondCasesc                 C   s  t |}d|v rtttj| d S tj|dd}tt||d |d  ddd tt|d	|d |d  ddd tt|d
|d |d  ddd tj|}tt|dt	|
d
dt	|
d
d ddd tt|dt	|
d
dt	|
d
d ddd tt|tjt	|
ddt	|
dd ddd tt|tj t	|
ddt	|
dd ddd tt|dtt	|d	 
d
dt	|d	 
d
d ddd d S )Nr>   F)r0  ).r   ).r   rz   rx   r1   r2   rg   r   re   r   fro)r   r   r   r   condr1  r   r#   r  r   summaxminr   sqrt)rD   r/   r0   rC   r   r   cinvr'   r'   r(   rG     sZ   
&
&&&

zCondCases.doNr   r'   r'   r'   r(   rG    s    rG  c                   @   s>   e Zd Zdd Zdd Zejjddddd	d
 Zdd Z	dS )TestCondc                 C   s   t g dg dg dg}tt|td tt|t d tt|dd tt|dd tt|d	td
 d S )N)rV   r   re   )r   g       r   )r   r   rX   ri   gUUUUUU?re   r   r   rI  gUUUUU6@)r   r   r   rJ  r   r#   rN  rD   Ar'   r'   r(   test_basic_nonsvd  s   zTestCond.test_basic_nonsvdc                 C   st   t dt dg}g d}ddg}t||D ]\}}tt||dk qt||D ]
\}}t|| q-d S )Nrg   rg   Nre   rg   rI  r   r     4&kC)r#   r  onesr   r   r   r   rJ  )rD   Asp_posp_negrR  pr'   r'   r(   test_singular  s   zTestCond.test_singularTFz/Platform/LAPACK-dependent failure, see gh-18914)runreasonc                 C   s   g d}g d}t d}t j|d< |D ]}t||}tt|t j tt | qt d}t j|d< |D ]:}t||}tt |d  ||v r^t|d d	k t|d
 d	k q8tt |d   tt |d
   q8d S )N)Nre   r   rg   r   rI  rU  rT  r   )rh   rg   rg   re   r   re   re   r   rV  rg   )	r#   rW  nanr   rJ  r   r"   float_isnan)rD   psrY  rR  r[  r   r'   r'   r(   test_nan
  s&   



zTestCond.test_nanc                 C   s   t jd t jdddd}d|d< d|d< dD ]*}t||}t|d t j t|d t j tt 	|d  tt 	|d  qd S )	NrU   rg   r   r`   r   )Nre   rg   rI  r   r   r   re   r   )
r#   randomseedrandr   rJ  r   r   r   isfinite)rD   rR  r[  r   r'   r'   r(   test_stacked_singular%  s   zTestCond.test_stacked_singularN)
rL   rM   rN   rS  r\  r   r   xfailrd  rj  r'   r'   r'   r(   rP    s    	

rP  c                   @   r   )	PinvCasesc                 C   s<   t |}t}t||||||ddd tt|| d S )Nrz   rx   rH  r   pinvr   r   r   r)   rD   r/   r0   rC   a_ginvr   r'   r'   r(   rG   :  s   
zPinvCases.doNr   r'   r'   r'   r(   rl  5  s    rl  c                   @   r   )TestPinvNr  r'   r'   r'   r(   rq  B  r  rq  c                   @   r   )PinvHermitianCasesc                 C   s@   t j|dd}t}t||||||ddd tt|| d S )NTr>  rz   rx   rH  rm  ro  r'   r'   r(   rG   H  s   zPinvHermitianCases.doNr   r'   r'   r'   r(   rr  F  r   rr  c                   @   r   )TestPinvHermitianNr  r'   r'   r'   r(   rs  P  r  rs  c                   @   r   )DetCasesc                 C   s   t |}t |}|j|j}}t|jjtt	fv r#t|
t	}nt|
t}t |}	t|tj|	dd t|t| tj|	dd t|}t|}|dk}
tt||
 d t||
  t  d S )Nr   axisr   re   )r   detslogdetsign	logabsdetr   r-   r!   r   r   astyper   r  r   r   reducer#   exp
atleast_1dr   r   r   )rD   r/   r0   rC   dr  r   ldadr  mr'   r'   r(   rG   V  s   




zDetCases.doNr   r'   r'   r'   r(   rt  T  r   rt  c                   @   s:   e Zd Zdd Zejdeee	e
gdd Zdd ZdS )	TestDetc                 C   s   t tdggd t ttdggt t tdggd t ttdggt t tdggdt f t ttdggd t t ttdggd t t tdggdt f t ttdggd t t ttdggd t d S )N        y                r   re   )r   r   rw  r!   r   r   rx  r   rJ   r'   r'   r(   	test_zeroj  s    zTestDet.test_zeror-   c                 C   s^   t jddgddgg|d}tt j|j| t j|\}}t|jt| t|j| d S r   )r#   r   r   r   rw  r-   rx  r5   )rD   r-   r   phr   r'   r'   r(   r   w  s
   zTestDet.test_typesc                 C   s   t jdt jd}t|}t|d t|jjt ju  t	|}t|d t|d jjt ju  t|d jjt j
u  t jdt jd}t|}t|d t|jjt ju  t	|}t|d t|d jjt ju  t|d jjt ju  d S )Nr`   r4   rV   re  r   re   )r#   r  r  r   rw  r   r   r-   r!   rx  float32r  )rD   r/   r  r'   r'   r(   r    s    







zTestDet.test_0_sizeN)rL   rM   rN   r  r   r   r
  r   r   r   r   r   r  r'   r'   r'   r(   r  i  s
    
r  c                   @   r   )
LstsqCasesc                 C   sL  t |}|j\}}t|d\}}}	tj||dd\}
}}}|dkr+t|
dk  ||kr=t|t	||
 t
|| nt
|| t||| ||kr}||kr}t tt 	||
| d jdd}t |}t |jdkr|d|_t
|j|j n
t g t|
}t|| tt |jt j tt|
| tt|| d S )	NFr   rcondr   rg   ru  re   r   )r#   r   r   r   r1  lstsqr   r   r   r   r   __array_wrap__r   rK  r   r   r   r!   
issubdtyper-   floatingr)   )rD   r/   r0   rC   arrr  nr6  r   r7  r   	residualsranksvexpect_residsr'   r'   r(   rG     s0   


 

zLstsqCases.doNr   r'   r'   r'   r(   r    r   r  c                   @   s:   e Zd Zdd Zejg dg ddd Zdd Zd	S )
	TestLstsqc           	      C   s   t g dg dg dg dgj}t g d}t K}|td}t||\}}}}t|dk tj||dd	\}}}}t|dk tj||d d	\}}}}t|d
k tt	|dk W d    d S 1 sjw   Y  d S )N)r  rV   r  rV   rW   r  )r  rW   r  r  rV   r  )rV   r  rV   r  r  rY   )r  r  r  rW   rX   r  )re   r   r   r   r   r   z`rcond` parameter will changeri   r   r  rh   re   )
r#   r   Tr   recordFutureWarningr   r  r   len)	rD   r/   r0   supr)  r   r  r  r   r'   r'   r(   test_future_rcond  s$   
"zTestLstsq.test_future_rcond)r  r  n_rhs))ri   rg   rg   )r   ri   re   )r   ri   rg   )ri   r   re   )ri   r   rg   )ri   rg   r   )r   r   r   c                 C   s   t || ||}t ||f}tj||d d\}}}}	|dkr*t|dk  t|j	||f t|j	||kr<|fnd ||krZ|dkrZ|t 
|| }
t||
|
 jdd t|t|| t|	j	t||f d S )Nr  r   ra   r   ru  )r#   r  r   rW  r   r  r   r   r   r   r   r   rK  rM  )rD   r  r  r  r/   r0   r   r  r  r   r   r'   r'   r(   test_empty_a_b  s   
zTestLstsq.test_empty_a_bc                 C   sv   t g d}t g d}t |t t|gj}ttd tj	||d d W d    d S 1 s4w   Y  d S )N)r   re   rg   rh   )r   g?g?g @gffffff
@zIncompatible dimensionsr  )
r#   r   vstackrW  r  r  r   r   r   r  )rD   r   yrR  r'   r'   r(   test_incompatible_dims  s   "z TestLstsq.test_incompatible_dimsN)	rL   rM   rN   r  r   r   r
  r  r  r'   r'   r'   r(   r    s
    
	r  dtc                 C   s   g | ]}t |qS r'   )r#   r-   )r   r   r'   r'   r(   r     s    r   z?bBhHiIqQefdgFDGOc                   @   s   e Zd ZedZeg d Zeg d Zeg d ZeeeegZ	e
ddgddggZeegggd Zeeded	ed
gZdd Zdd Zdd Zdd Zdd Zdd Zdd Zejjedddd ZdS )TestMatrixPowerri   )rh   r   re   rg   )rg   rh   r   re   )re   rg   rh   r   re   r   rg   r   gGc                 C   s   | j |}tt|dd d d d | j tt|dd d d d | j  tt|dd d d d | j tt|dd d d d | j d S )Nrg   d   i       r   re   rh   )rshft_1r{  r   r   rshft_0rshft_2rshft_3)rD   r  rshftr'   r'   r(   test_large_power  s   z TestMatrixPower.test_large_powerc                 C   >   dd }| j D ]}||| |tkr|| j| qd S )Nc                 S   s*   t | d}t|t|  t|j| j d S )Nr   )r   r   r   r-   )Mmzr'   r'   r(   tz  s   
z.TestMatrixPower.test_power_is_zero.<locals>.tz	rshft_allr{  objectstackedrD   r  r  rC  r'   r'   r(   test_power_is_zero     
z"TestMatrixPower.test_power_is_zeroc                 C   r  )Nc                 S   s&   t | d}t||  t|j| j d S )Nre   )r   r   r-   )rC  r  r'   r'   r(   r  	  s   

z-TestMatrixPower.test_power_is_one.<locals>.tzr  r  r'   r'   r(   test_power_is_one  r  z!TestMatrixPower.test_power_is_onec                 C   r  )Nc                 S   s>   t | d}| jtkrtnt}t||| |  t|j| j d S )Nrg   )r   r-   r  r	   r   r   )rC  r  mmulr'   r'   r(   r    s   
z-TestMatrixPower.test_power_is_two.<locals>.tzr  r  r'   r'   r(   test_power_is_two  s   
z!TestMatrixPower.test_power_is_twoc                 C   s0   dd }| j D ]}|| jvr||| qd S )Nc                 S   s4   t | d}| jtkrtnt}t||| t|  d S Nr   )r   r-   r  r	   r   r   r   )rC  invmatr  r'   r'   r(   r     s
   
z3TestMatrixPower.test_power_is_minus_one.<locals>.tz)r  dtnoinvr{  r  r'   r'   r(   test_power_is_minus_one  s   

z'TestMatrixPower.test_power_is_minus_onec                 C   s.   | j |}ttt|d ttt|dg d S )Ng      ?re   )r  r{  r   	TypeErrorr   rD   r  rC  r'   r'   r(   test_exceptions_bad_power*  s   z)TestMatrixPower.test_exceptions_bad_powerc                 C   sP   t tttdg|d t tttdgdgg|d t tttd|d d S )Nre   rg   )ri   rh   rg   )r   r   r   r#   r   rW  )rD   r  r'   r'   r(   test_exceptions_non_square/  s   z*TestMatrixPower.test_exceptions_non_squarefp errors don't work in wasmr^  c                 C   s,   || j v rd S | j|}ttt|d d S r  )r  noninvr{  r   r   r   r  r'   r'   r(   test_exceptions_not_invertible4  s   
z.TestMatrixPower.test_exceptions_not_invertibleN)rL   rM   rN   r#   r:  r  r  r  r  r  r   r  blockr  r  r-   r  r  r  r  r  r  r  r  r   r   skipifr   r  r'   r'   r'   r(   r    s$    
r  c                   @   r   )TestEigvalshCasesc                 C   s^   t |d}t |\}}|jdd t||t|jd t |d}t||t|jd d S )NLr   ru  r#  r2  )r   eigvalshr  rE  r   r8   r-   )rD   r/   r0   rC   r  r  r  ev2r'   r'   r(   rG   >  s   zTestEigvalshCases.doNr   r'   r'   r'   r(   r  <  r   r  c                   @   B   e Zd Zejdeeee	gdd Z
dd Zdd Zdd	 Zd
S )TestEigvalshr-   c                 C   s:   t jddgddgg|d}t j|}t|jt| d S r   )r#   r   r   r  r   r-   r5   )rD   r-   r   r)  r'   r'   r(   r   K  s   zTestEigvalsh.test_typesc                 C   X   t jddgddggt jd}ttt jj|dd ttt jj|d ttt jj|d d S Nre   r   r4   lrongUPLOlowerupper)r#   r   r  r   r   r   r  rD   r   r'   r'   r(   test_invalidQ     zTestEigvalsh.test_invalidc                 C   s   t jddgddggt jd}t jddgddggt jd}t jddgt jd}tt j}t j|}t|||d t jj|dd}t|||d t jj|dd}t|||d t jj|d	d}t|||d t jj|d
d}t|||d d S Nr   re   r4   r   r#  r  r  lr2  r6  )r#   r   r   r8   r   r  r   )rD   KloKuptgtr$  r)  r'   r'   r(   	test_UPLOW  s   
zTestEigvalsh.test_UPLOc                 C   s   G dd dt j}t jdt jd|}t|}t|jj	t j
u  td|j tt|t j t jdt jd|}t|}t|jj	t ju  td|j tt|t j d S )Nc                   @   r   )z/TestEigvalsh.test_0_size.<locals>.ArraySubclassNr  r'   r'   r'   r(   r  o  r  r  r  r4   r   r`   ra   )r#   r$   r  r  r   r   r  r   r-   r!   r  r   r   r"   r  r  r  r'   r'   r(   r  m  r!  zTestEigvalsh.test_0_sizeNrL   rM   rN   r   r   r
  r   r   r   r   r   r  r  r  r'   r'   r'   r(   r  J  s    
r  c                   @   r   )TestEighCasesc                 C   s   t |}|j|j}}t |\}}|jdd t|| tt||t	
|dd d d f t	
| t|jd t |d\}	}
t|	| tt||
t	
|	dd d d f t	
|
 t|jt|d d S )Nr   ru  .r#  r2  )r$  err_msg)r   eighr%  r&  r  rE  r   r   r   r#   r   r8   r-   repr)rD   r/   r0   rC   r  r  evcr  r  r  evc2r'   r'   r(   rG     s   


 

 
zTestEighCases.doNr   r'   r'   r'   r(   r    r   r  c                   @   r  )TestEighr-   c                 C   sJ   t jddgddgg|d}t j|\}}t|jt| t|j| d S r   )r#   r   r   r  r   r-   r5   r(  r'   r'   r(   r     s   zTestEigh.test_typesc                 C   r  r  )r#   r   r  r   r   r   r  r  r'   r'   r(   r    r  zTestEigh.test_invalidc                 C   s   t jddgddggt jd}t jddgddggt jd}t jddgt jd}tt j}t j|\}}t|||d t jj|dd\}}t|||d t jj|dd\}}t|||d t jj|d	d\}}t|||d t jj|d
d\}}t|||d d S r  )r#   r   r   r8   r   r  r   )rD   r  r  r  r$  r)  r*  r'   r'   r(   r    s   
zTestEigh.test_UPLOc                 C   s   G dd dt j}t jdt jd|}t|\}}t|jj	t j
u  t|jj	t j
u  t|j|j td|j tt|t j t jdt jd|}t|\}}t|jj	t ju  t|jj	t ju  t|j|j td|j tt|t j d S )Nc                   @   r   )z+TestEigh.test_0_size.<locals>.ArraySubclassNr  r'   r'   r'   r(   r    r  r  r  r4   r   r`   ra   )r#   r$   r  r  r   r   r  r   r-   r!   r  r   r   r"   r  r  r+  r'   r'   r(   r    r-  zTestEigh.test_0_sizeNr  r'   r'   r'   r(   r    s    
r  c                   @   s    e Zd ZdZdZedd ZdS )_TestNormBaseNc                 C   s<   t | jjtjrt|j| jj d S tt |jjtj d S r    )	
issubclassr-   r!   r#   inexactr   realr   r  )r   r  r'   r'   r(   check_dtype  s   z_TestNormBase.check_dtype)rL   rM   rN   r  decstaticmethodr  r'   r'   r'   r(   r    s
    r  c                   @   s4   e Zd Zdd Zdd Zdd Zdd Zd	d
 ZdS )_TestNormGeneralc                 C   sF   t tg d t ttg | jdd t tttg | jdd d S )Nr  r4   )r   r   r   r  r   rJ   r'   r'   r(   
test_empty  s    z_TestNormGeneral.test_emptyc           	   	   C   s  t g d}t jd }t jd }|| }|D ]}||}t|t j }| || t|d t }|	t
d t|d}| || t|d W d    n1 sTw   Y  t|d}| || t|d t|d	}| || t|d
 t|d}| || t||jd
|jd  t|d}| || t||jd
|jd  t|t j}| || t|d qd S )Nr_  
AllIntegerAllFloatr  divide by zero encounteredr   r   rg   re   rW   r   ri   g      ?rV   )r#   r   	typecodesr{  r   r   r  r   r   filterRuntimeWarningr-   r!   	rD   r/   exact_typesinexact_types	all_types	each_typeatanr  r'   r'   r(   test_vector_return_type  s>   










z(_TestNormGeneral.test_vector_return_typec                    sv   g d}g d}g d} fdd}|||fD ]}|| qt | jdt | jdt | jdfD ]}|| q2d S )N)re   rg   rh   ri   )r   r   r   r   )r   rg   r   ri   c                    s   t jjt| d jd t jjt| td jd t jjt| t d jd t jjt| dd jd t jjt| dd jd t jjt| d	d jd t jjt| d
d jd t jjt| dd jd d S )Ng6ҭ@r,   rY   rV   re         $@r   gQ?rg   r   gsc?r   ri   )r#   testingr   r   r  r   )r*  rJ   r'   r(   _test  s0   
z+_TestNormGeneral.test_vector.<locals>._testr4   )r   r  )rD   r/   r0   r   r  r*  r'   rJ   r(   test_vector  s   

z_TestNormGeneral.test_vectorc           	   	      s  t g dg dg| jd d dddddtjtj fD ]4 fd	d
t jd D }tt dd|  fdd
t jd D }tt dd| qtjdd| jd	dddj
}d ddddtjtj dfD ]htt| |dD ][}|\}}|dk r||7 }|dk r||7 }||krttt|d qyt|d}|||  ||k rfdd
tj D }nfdd
tj D }t|| qyqmd S )Nre   rg   rh   ri   rz   r*   r4   r   r   re   rg   rh   c                    s$   g | ]}t  d d |f dqS Nordr   r   krR  orderr'   r(   r   3     $ z._TestNormGeneral.test_axis.<locals>.<listcomp>r  rv  c                    s$   g | ]}t  |d d f dqS r  r  r	  r  r'   r(   r   5  r     ri   r   rI  c                    s*   g | ]}t  d d  j|ddqS Nru  r  )r   taker	  Bk_indexr  r'   r(   r   K  s    "c                    s,   g | ]}t  d d  j|djdqS r  )r   r  r  r	  r  r'   r(   r   N  s    $)r   r  r#   Infr   r   r   r   r  r   r   r   combinationsr   r   )	rD   	expected0	expected1ndrv  row_axiscol_axisr  r  r'   )rR  r  r  r  r(   	test_axis-  s:   z_TestNormGeneral.test_axisc           	   
   C   s  t jdd| jdddd}d}d}t|d d d	}t|d d d
d}tt |||d d d d}t|j	|k||j	|d d  d dddddt j
t j
 fD ]C}t|jD ];}t|||d	}t|||d
d}tt |||||d t|j	}d||< t|}t|j	|k||j	||| qTqMd ddddt j
t j
 ddf	D ]O}tt|jdD ]C}t|||d	}t|||d
d}tt |||||d t|j	}d||d < d||d < t|}t|j	|k||j	||| qqd S )Nre   r  r4   rg   rh   ri   zorder {0}, axis = {1}z;Shape mismatch found {0}, expected {1}, order={2}, axis={3}r  T)r  rv  keepdims)r  )re   re   re   r   r   r   rI  nuc)r#   r  r  r   r   r   squeezeformatr   r   r  r   r   r   r   r   permutations)	rD   rR  allclose_err	shape_errr  foundexpected_shaper  r
  r'   r'   r(   test_keepdimsR  sT   




 


z_TestNormGeneral.test_keepdimsN)rL   rM   rN   r  r  r  r  r&  r'   r'   r'   r(   r    s    )%r  c                   @   s:   e Zd ZejZdd Zdd Zdd Zdd Zd	d
 Z	dS )_TestNorm2Dc                 C   s    t t| jg g| jdd d S )Nr4   r  )r   r   r   r  rJ   r'   r'   r(   test_matrix_empty  s    z_TestNorm2D.test_matrix_emptyc           	   	   C   s  |  g dg dg}tjd }d}|| }|D ]}||}t|tj }| || t|d t }|	t
d t|d}| || t|d W d    n1 sUw   Y  t|d	}| || t|d t|d
}| || t|d t|d}| || t|d t|tj}| || t|d t|d}| || t|d t|d}| || tjj|ddd qd S )Nr_  r  r  fdFDrW   r  r   rV   re   rg   gLXz?r   rI  r  gU&,t=@r*   r  )r   r#   r  r{  r   r   r  r   r   r  r  r   r  r'   r'   r(   test_matrix_return_type  sD   













z#_TestNorm2D.test_matrix_return_typec                 C   s   | j ddgddgg| jd}tt|d tt|dd tt|dd	 tt|td
 tt|t d tt|dd	 tt|dd tt|dd tt|dd ttt|d ttt|d ttt|d d S )Nre   rh   rz   r   r4   gT"@rI  r  r  g      (@rY   r   r[   rg   gW?"@r   gїʄ?nofror   r   )r   r  r   r   r   r   r   rQ  r'   r'   r(   test_matrix_2x2  s   z_TestNorm2D.test_matrix_2x2c                 C   s   d| j g dg dg dg| jd }tt|d tt|dd tt|dd	 tt|td
 tt|t d tt|dd tt|dd tt|dd tt|dd d S )Ng?r  )r*   r   rz   )rh   rg   re   r4   grj=Q0?rI  r  gB+pc?g?g333333?re   rV   r   g?rg   g&.d?r   gܸՠ?)r   r  r   r   r   rQ  r'   r'   r(   test_matrix_3x3  s    z_TestNorm2D.test_matrix_3x3c                 C   s  | j g dg dg| jd}tjdd| jdddd}ttt|d	d
 ttt|dd
 tttddgd	d  tttddgdd  tttddgdd  dD ]}ttt||d  ttt||d ttt||d qLttjt|d d ttjt|d d ttt|d d d S )Nr  r  r4   re   r  rg   rh   ri   rI  r   r  testr   rh   r   )re   rg   rg   rh   )r   re   rg   )	r   r  r#   r  r   r   r   r   	AxisError)rD   rR  r  r  r'   r'   r(   test_bad_args  s   z_TestNorm2D.test_bad_argsN)
rL   rM   rN   r#   r   r(  r*  r,  r-  r2  r'   r'   r'   r(   r'  }  s    3r'  c                   @   r   )	_TestNormNr  r'   r'   r'   r(   r3    r  r3  c                   @   s$   e Zd Zdd Zdd Zdd ZdS )TestNorm_NonSystematicc                 C   s*   t jdt jd}tt|ddddd d S )N
   r4   rh   r  gL)@rg   r  )r#   r  
longdoubler.   r   r  r'   r'   r(   test_longdouble_norm  s   z+TestNorm_NonSystematic.test_longdouble_normc                 C   s,   t jdgt jd}tt|ddddd d S )Ni   r4   rh   r  l        rz   r  )r#   r   int32r.   r   r  r'   r'   r(   test_intmin  s   z"TestNorm_NonSystematic.test_intminc                 C   s   t jdt jd}d|d< d|d< d}tt jj|dd	|d
d |t j}tt jj|dd	|dd |t j}tt jj|dd	|dd d S )Nrg   r4   y      @      @r   y            @re   gV;'@rh   r  r5  r  	   rz   )	r#   r   clongdoubler.   r   r   r{  
complex128r  )rD   r  r  r'   r'   r(   test_complex_high_ord  s   z,TestNorm_NonSystematic.test_complex_high_ordN)rL   rM   rN   r7  r9  r>  r'   r'   r'   r(   r4    s    r4  c                   @      e Zd ZejZdZdS )_TestNormDoubleBaser+   N)rL   rM   rN   r#   r   r  r  r'   r'   r'   r(   r@        r@  c                   @   r?  )_TestNormSingleBaser*   N)rL   rM   rN   r#   r  r  r  r'   r'   r'   r(   rB    rA  rB  c                   @   r?  )_TestNormInt64Baser+   N)rL   rM   rN   r#   int64r  r  r'   r'   r'   r(   rC    rA  rC  c                   @   r   )TestNormDoubleNr  r'   r'   r'   r(   rE  $  r  rE  c                   @   r   )TestNormSingleNr  r'   r'   r'   r(   rF  (  r  rF  c                   @   r   )TestNormInt64Nr  r'   r'   r'   r(   rG  ,  r  rG  c                   @   r   )TestMatrixRankc                 C   s   t dttd td}d|d< t t|d t ttdd t tg dd t ttd	d t tdgd t|tdtdg}t t|tg d
 t tdd d S )Nri   r  r   r   rh   r9  r   )re   r   r   r   re   )ri   )rh   ri   r   )r   r   r#   r:  r  r   )rD   Imsr'   r'   r(   test_matrix_rank2  s   
zTestMatrixRank.test_matrix_rankc                 C   s   t dttddd t dttddd t dttddd td}d|d< t d	t|dd d
|d< t dt|ddd t d	t|ddd d S )Nri   Tr>  re   r9  r   r  rI  rh   g:0yE>g|"BE>)r;   tolg;䡈E>)r   r   r#   r:  rW  r  )rD   rJ  r'   r'   r(   test_symmetric_rankF  s   
z"TestMatrixRank.test_symmetric_rankN)rL   rM   rN   rL  rN  r'   r'   r'   r(   rH  0  s    rH  c                  C   s   t jd} tdD ]B}| jdd}|d d df |d d df  |d d df< tt|d |d d d	f |d d d
f  |d d df< tt|d q
d S )Ni3r  )(   r5  sizere   rg   r   r;  ri   rz   rh   rc   )r#   rf  RandomStater   normalr   r   )rngiXr'   r'   r(   test_reduced_rankT  s   ,,rW  c                	   @   s   e Zd ZejZdd Zejddgg ddd Z	dd	 Z
d
d Zdd Zejdg dejdg dejdejejejejgdd ZdS )TestQRc                 C   s  t |}|j}|j\}}t||}tj|dd}|j|j}}	t|j|k t|	j|k tt	|| tt	|	| t|j||fk t|	j||fk t
t||	| t
t|j |t| t
t|	|	 tj|dd\}
}t|
j|k t|j|k tt	|
| tt	|| t|
j||fk t|j||fk t
t|
|| t
t|
j |
t| t
t|| tj|dd}t|j|k tt	|| t
|| d S )Ncompletemodereducedr   )r!   r-   r   rM  r   qrQRr   r"   r   r   r  rA  r#   r:  triu)rD   r/   a_typea_dtyper  r  r
  r  r^  r_  q1r1r2r'   r'   r(   check_qre  s:   

zTestQR.check_qrr  r  )rh   r   r/  r`   c                 C   st   t ||}t||f}| | tjj|dd\}}t|jtj t|jtj t|j	||f t|j	|f d S )NrawrZ  )
rM  r#   r   rf  r   r]  r   r-   r   r   )rD   r  r  r
  r/   htaur'   r'   r(   test_qr_empty  s   

zTestQR.test_qr_emptyc                 C   s   | j ddgddgddggtjd}tj|dd	\}}t|jtjk t|jtjk t|jd
k t|jdk tj|jdd	\}}t|jtjk t|jtjk t|jdk t|jdk d S )Nre   rg   rh   ri   rz   r*   r4   rh  rZ  r0  r:  r   )	r   r#   r   r   r]  r   r-   r   r  )rD   r/   ri  rj  r'   r'   r(   test_mode_raw  s   "zTestQR.test_mode_rawc                 C   s   |  ddgddgg}|  ddgddgddgg}dD ]}||}||}| | | | | |j qdD ]$}dd||  }dd||  }| | | | | |j q:d S )	Nre   rg   rh   ri   rz   r*   fd              ?)r   r{  rf  r  )rD   r/   r0   r  m1m2r'   r'   r(   test_mode_all_but_economic  s   





z!TestQR.test_mode_all_but_economicc                 C   sf  t |}|j}|jdd  \}}t||}tj|dd\}}t|j|k t|j|k tt|| tt|| t|jdd  ||fk t|jdd  ||fk tt	||| t
|jd }	t
|	|jd d |jd fd  }
tt	t|dd ||
 tt
|dd d d d f | tj|dd\}}t|j|k t|j|k tt|| tt|| t|jdd  ||fk t|jdd  ||fk tt	||| t
|jd }	t
|	|jd d |jd fd  }
tt	t|dd ||
 tt
|dd d d d f | tj|dd}t|j|k tt|| t|| d S )	Nr   rY  rZ  r   rg   .r\  r   )r!   r-   r   rM  r   r]  r   r"   r   r	   r#   r   rD  r
   rA  r`  )rD   r/   ra  rb  r  r  r
  qr   I_matstack_I_matrc  rd  re  r'   r'   r(   check_qr_stacked  sL   
""zTestQR.check_qr_stackedrQ  ))rh   ri   )ri   rh   r9  rg  r/  
outer_size)rT  r:  )rg   rh   ri   r  c                 C   sP   t jj|| d|}t jj|| d|}| | | |d|   d S )NrP  rn  )r#   rf  rS  r{  ru  )rD   rv  rQ  r  rR  r  r'   r'   r(   test_stacked_inputs  s   

zTestQR.test_stacked_inputsN)rL   rM   rN   r#   r   rf  r   r   r
  rk  rl  rq  ru  r   r   r   r   rw  r'   r'   r'   r(   rX  a  s    (
-rX  c                   @   sL   e Zd Zejdg dejdejejej	ej
fdd Zdd ZdS )	TestCholeskyr   )r   rT  rh   rh   )2   rz  )rh   r5  r5  r-   c                 C   s  t jd t jj| }t |t jr|dt jj|   }ttt|}d|dd < t 	|
| |}t j||d}t j|}t 	||
| }t   d|jd  t |j }W d    n1 sjw   Y  t|||| d| d	| d	| d
 d S )Nre   rn  )r   r   r   r4   i  r    
)atolr  )r#   rf  rg  randnr  complexfloatingr   r   r  r	   rB  rA  r   r   cholesky_no_nep50_warningr   finfoepsr   )rD   r   r-   r/   tr   r0   r}  r'   r'   r(   test_basic_property  s   
*z TestCholesky.test_basic_propertyc                 C   s   G dd dt j}t jdt jd|}t|}t|j|j t	|j
jt ju  t	t|t j t jdt jd|}t|}t|j|j t	|j
jt ju  t	t|t j d S )Nc                   @   r   )z/TestCholesky.test_0_size.<locals>.ArraySubclassNr  r'   r'   r'   r(   r     r  r  r  r4   )re   r   r   )r#   r$   r  r  r   r   r  r   r   r   r-   r!   r  r"   r  r  r'   r'   r(   r    s   

zTestCholesky.test_0_sizeN)rL   rM   rN   r   r   r
  r#   r  r  r  r=  r  r  r'   r'   r'   r(   rx    s    rx  c                  C   s   t jdkrd} nd} tjtjfD ]9}tjd|d}|| }|d }t|j	jd t
jt
jt
jfD ]}||}t||| t||| q4qd S )Nlittle<rI   ri   r4   r3  =)sys	byteorderr#   r  r  r:  newbyteorderbyteswapr   r-   r   r  rw  rn  r   )nativedttr  n_arrsw_arrroutiner  r'   r'   r(   test_byteorder_check0  s   

r  r  r  c                  C   sl   t ddgddgg} t ddgddgg}t g ddd d }| |d< ||d< tt jjt jj| d S )Nre   rg   rh   ri   )ri   ri   rg   rg   .r`   )r#   r   r  r   r   r   r  )
invertiblenon_invertibler   r'   r'   r(    test_generalized_raise_multiloopE  s   r  c                  C   sL  d} zt  }W n ttfy   td Y nw |dkrt d t d dd l}||j	d zt
jj  W n tyC   Y n tyQ   t t j Y nw zt
dgg}t
jjddd|d||dd	 W n ty } zdt|v r}t |  W Y d }~nd }~ww t t j d S t  \}}t || krtd d S d S )	N   zNot POSIX or fork failed.r   re   r`   rV   zDORGQR parameter number 5zNumpy xerbla not linked in.)osforkOSErrorAttributeErrorr   skipcloseresource	setrlimitRLIMIT_COREr#   r   lapack_litexerblar   r   _exit	EX_CONFIGr   dorgqrr@   waitWEXITSTATUS)	XERBLA_OKpidr  r/   r   statusr'   r'   r(   test_xerbla_overrideT  sF   


r  zCannot start subprocessc                  C   sd   ddg} t d}| D ]$}|jdd|d}ttjd|g |jdd|d}ttjd|g qd S )	NzPyQt5.QtWidgetsIPythonz
    import sys
    {before}
    try:
        import {bad_lib}
    except ImportError:
        sys.exit(0)
    {after}
    x = np.ones(2, dtype=np.float32)
    sys.exit(0 if np.allclose(x.dot(x), 2.0) else 1)
    zimport numpy as np )beforeafterbad_libz-c)r  r  r  )textwrapdedentr   
subprocess
check_callr  
executable)bad_libstemplater  coder'   r'   r(   test_sdot_bug_8577  s   
r  c                   @   sd   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dd Zdd Zdd ZdS )TestMultiDotc              	   C   sl   t jd}t jd}t jd}tt|||g||| tt|||gt |t || d S Nr*   rg   rg   r*   r#   rf  r   r   r   )rD   rR  r  Cr'   r'   r(   (test_basic_function_with_three_arguments  s
    (z5TestMultiDot.test_basic_function_with_three_argumentsc                 C   sN   t jd}t jd}tt||g|| tt||gt || d S r  r  )rD   rR  r  r'   r'   r(   &test_basic_function_with_two_arguments  s   z3TestMultiDot.test_basic_function_with_two_argumentsc                 C   s\   t jd}t jd}t jd}t jd}tt||||g|||| d S )Nr  r  rg   re   r  )rD   rR  r  r  Dr'   r'   r(   9test_basic_function_with_dynamic_programming_optimization  s
   ,zFTestMultiDot.test_basic_function_with_dynamic_programming_optimizationc                 C   sL   t jd}t jd}t jd}t jd}tt||||gjd d S )Nrg   r  r  rT  r:  r#   rf  r   r   r   )rD   A1dr  r  r  r'   r'   r(   test_vector_as_first_argument  
   z*TestMultiDot.test_vector_as_first_argumentc                 C   sL   t jd}t jd}t jd}t jd}tt||||gjd d S )Nr  r  rg   )r*   r  )rD   rR  r  r  D1dr'   r'   r(   test_vector_as_last_argument  r  z)TestMultiDot.test_vector_as_last_argumentc                 C   sL   t jd}t jd}t jd}t jd}tt||||gjd d S )Nrg   r  r  r'   r  )rD   r  r  r  r  r'   r'   r(   &test_vector_as_first_and_last_argument  r  z3TestMultiDot.test_vector_as_first_and_last_argumentc              	   C   s   t jd}t jd}t jd}t d}t|||g|d}||u s&J t|||| t|t |t || d S )Nr  r  r%   r#   rf  r  r   r   r   )rD   rR  r  r  r%   retr'   r'   r(   test_three_arguments_and_out  s   
z)TestMultiDot.test_three_arguments_and_outc                 C   sd   t jd}t jd}t d}t||g|d}||u sJ t||| t|t || d S )Nr  r  )r*   r*   r  r  )rD   rR  r  r%   r  r'   r'   r(   test_two_arguments_and_out  s   
z'TestMultiDot.test_two_arguments_and_outc                 C   sz   t jd}t jd}t jd}t jd}t d}t||||g|d}||u s-J t||||| d S )Nr  r  r  )r*   re   r  r  )rD   rR  r  r  r  r%   r  r'   r'   r(   -test_dynamic_programming_optimization_and_out  s   
 z:TestMultiDot.test_dynamic_programming_optimization_and_outc              	   C   s  t jdt jdt jdt jdt jdt jdg}t g dg dg d	g d
g dg dg}t jg dg dg dg dg dg dgtd}|d8 }t|dd\}}tt |d ddd f t |d ddd f  tt |t | d S )N)   #   )r     )r  rz   )rz   r5  )r5     )r  r  )r  g     @g     þ@g    O@g    1@g    @)r  r  g     @g     @g     ջ@g     @)r  r  r  g     p@g     @g     @)r  r  r  r  g     @@g     X@)r  r  r  r  r  g     @)r  r  r  r  r  r  )r   re   re   rh   rh   rh   )r   r   rg   rh   rh   rh   )r   r   r   rh   rh   rh   )r   r   r   r   ri   rz   )r   r   r   r   r   rz   )r   r   r   r   r   r   r4   re   T)return_costsr   )r#   rf  r   intr   r   r`  )rD   arrays
m_expected
s_expectedr   r  r'   r'   r(   test_dynamic_programming_logic  s:   







z+TestMultiDot.test_dynamic_programming_logicc                 C   s&   t ttg  t tttjdg d S )Nry  )r   r   r   r#   rf  rJ   r'   r'   r(   test_too_few_input_arrays%  s   z&TestMultiDot.test_too_few_input_arraysN)rL   rM   rN   r  r  r  r  r  r  r  r  r  r  r  r'   r'   r'   r(   r    s    
	



r  c                   @   sv   e Zd Zejdeddfeddfgdd Zejdd	d
gdd Z	ejdddgdd Z
dd ZdS )TestTensorinvzarr, indri   r*   rc   rg   rg   rh   rh   rg   re   c                 C   s<   t t tj||d W d    d S 1 sw   Y  d S )Nind)r   r   r   	tensorinv)rD   r  r  r'   r'   r(   test_non_square_handling,  s   
"z&TestTensorinv.test_non_square_handlingz
shape, ind)ri   r*   rc   rh   rg   )   rc   rh   re   c                 C   sN   t d}||_tj||d}|j|d  |jd |  }|j}t|| d S )Nr  r/   r  )r#   r:  r   r   r  r   )rD   r   r  r/   ainvr  actualr'   r'   r(   test_tensorinv_shape4  s   
z"TestTensorinv.test_tensorinv_shaper  r   r   c                 C   sL   t d}d|_tt tj||d W d    d S 1 sw   Y  d S )Nr  r  r  )r#   r:  r   r   r   r   r  )rD   r  r/   r'   r'   r(   test_tensorinv_ind_limitA  s
   

"z&TestTensorinv.test_tensorinv_ind_limitc                 C   sJ   t d}d|_tj|dd}t d}tt ||dt j|| d S )Nr  r  re   r  )	r#   r:  r   r   r  rW  r   	tensordottensorsolve)rD   r/   r  r0   r'   r'   r(   test_tensorinv_resultJ  s
   

"z#TestTensorinv.test_tensorinv_resultN)rL   rM   rN   r   r   r
  r#   rW  r  r  r  r  r'   r'   r'   r(   r  *  s     


r  c                   @   sT   e Zd Zejdeddfeddfgdd Zejdg d	d
d Z	dS )TestTensorsolveza, axesr  Nr  )r   rg   c                 C   sR   t t t|jd d }tj|||d W d    d S 1 s"w   Y  d S Nrg   r?  )r   r   r#   rW  r   r   r  )rD   r/   r@  r0   r'   r'   r(   r  U  s   
"z(TestTensorsolve.test_non_square_handlingr   ))rg   rh   r*   )rh   ri   ri   rh   )r   rh   rh   r   c                 C   sN   t jj| }t |jd d }t j||}tt j||t	|jd| d S r  )
r#   rf  r~  rW  r   r   r  r   r  r  )rD   r   r/   r0   r   r'   r'   r(   test_tensorsolve_result^  s    z'TestTensorsolve.test_tensorsolve_result)
rL   rM   rN   r   r   r
  r#   rW  r  r  r'   r'   r'   r(   r  S  s    
r  c                  C   sT   t jddgddggdd} ttd t|  W d    d S 1 s#w   Y  d S )Nre   r   rg   rz   float16r4   zunsupported in linalg)r#   r   r   r  r   r  )r  r'   r'   r(   test_unsupported_commontypeh  s   "r  z,Bad memory reports lead to OOM in ci testingc                  C   sR   d} t jd| gt jd}t jddgt jd}d|d< t ||}t|d d d S )N        re   r4   )r   r   )r#   r  r  rW  r   r   )r  r/   r0   r   r'   r'   r(   test_blas64_dots  s   r  z*Numpy not compiled with 64-bit BLAS/LAPACKc            
   	   C   s   t j} t jjj}d}d}|}t jddg| d}t jdg| d}t jdg| d}|||||||dd}t|d d t|d | t|d | t| }	t	d	|	  k oZd
k  d S    d S )Nl       re   r4   r   r   infor  r  r  l        )
r#   r  r   r  dgeqrfr  r   r  itemr   )
r-   lapack_routiner  r  ldar/   workrj  resultslworkr'   r'   r(   !test_blas64_geqrf_lwork_smoketest}  s   
&r  )r*   r+   )__doc__r  r  r   r   r  r  r   numpyr#   r   r   r   r   r   r   r   r	   
numpy.corer
   r   r   r   r   r   numpy.linalgr   r   r   r   r   numpy.linalg.linalgr   numpy.testingr   r   r   r   r   r   r   r   r   r   numpy.linalg.lapack_liteImportErrorr)   r.   r5   r7   r8   rP   r?   rT   rf  rg  r   r   rh  r   r   r   r   r   r   r   r   r   r   r   r   r   r   r  r  r  r  r"  r'  r.  r5  r8  r=  rF  rG  rP  rl  rq  rr  rs  rt  r  r  r  r   r
  r  r  r  r  r  r  r  r'  r3  r4  r@  rB  rC  rE  rF  rG  rH  rW  rX  rx  r  r  r  r  r   r  r  r  r  r  r  r  rk  r  r'   r'   r'   r(   <module>   s   (0
	

#




9 
0

:	$.C
*4V6; x$ ".
1" )

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