o
    i                    @   s2  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mZmZmZ d dl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"m#Z#m$Z$m%Z%m&Z&m'Z'm(Z(m)Z)m*Z*m+Z+m,Z,m-Z- d dl.m/Z/ d d	l0m1Z1 d d
l2m3Z3 ejej4ej5fZ6ej7ej8ej9fZ:e6e: Z;dd Z<G dd dZ=G dd dZ>G dd dZ?G dd dZ@G dd dZAG dd dZBd0ddZCG dd dZDG dd dZEG dd  d ZFejGHd!d"ejGHd#e!e"fd$d% ZIG d&d' d'ZJG d(d) d)ZKG d*d+ d+ZLG d,d- d-ZMG d.d/ d/ZNdS )1    N)arangearraydotzerosidentity	conjugate	transposefloat32)random)assert_equalassert_almost_equalassert_assert_array_almost_equalassert_allcloseassert_array_equalsuppress_warnings)raises)_pep440)solveinvdetlstsqpinvpinvhnormsolve_bandedsolveh_bandedsolve_triangularsolve_circulant	circulantLinAlgError
block_diagmatrix_balanceqrLinAlgWarningassert_no_overwrite)check_free_memory)	HAS_ILP64c                 C   s2   | }|t jkrt j}n|t jkrt j}t |jS )z;Get the epsilon for dtype, possibly downcast to BLAS types.)np
longdoublefloat64clongdouble
complex128finfoeps)Zdtypdt r1   l/var/www/html/eduruby.in/lip-sync/lip-sync-env/lib/python3.10/site-packages/scipy/linalg/tests/test_basic.py	_eps_cast   s   

r3   c                   @   L   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dS )TestSolveBandedc                 C      t g dg dg dg dg}t g dg dg dg dg}d	\}}t g d
}|dd}t ddgddgddgddgg}t g dg dg dg dg}||||fD ]}	t||f||	}
tt||
|	 qVd S )N      ?   r   r         r         r9   r?   r                 r9   r=   r?   r@   r<   r9   rD   r;   r@   rC   r   r?   rB   r   r   r?   r@         $@rF          @g      ,@rB   r@   r?   r;   r<      r@   r   r   r   r   r   r   r@   r   r@   r   r   r   reshaper   r   r   selfaablub4b4by1b4by2b4by4bxr1   r1   r2   	test_real+   6   zTestSolveBanded.test_realc                 C   r6   )Nr7   r:   )               @r@   r9   rb   rA   rF   r9   r=   rb   rG   rH   )rb   rB   r   r   rJ   rL   rF   rM   y              ,@rB   r@   r?   r;   r<   rN   rO   )r   r   r                 ?rQ   rR   rT   r1   r1   r2   test_complexC   ra   zTestSolveBanded.test_complexc           	      C      t g dg dg dg}t|ddd f dt|dd d f d t|dd df d }t g d}|dd}t ddgd	d
gddgddgg}t g dg dg dg dg}||||fD ]}td||}tt||| qcd S )NrE   rG   rH   r   r@   r?   rB   rK   r;   r<   rN   rO   rP   rQ   r@   r@   r   r)   diagrS   r   r   r   	rU   rW   rV   rZ   r[   r\   r]   r^   r_   r1   r1   r2   test_tridiag_real[   .   2z!TestSolveBanded.test_tridiag_realc           	      C   rg   )Nrc   rG   rH   r   r@   r?   rB   rd   r;   r<   rN   rO   rP   rQ   rh   ri   rk   r1   r1   r2   test_tridiag_complexo   rm   z$TestSolveBanded.test_tridiag_complexc                 C   s|   t g dg dg dg dg}t g dg dg dg dg}d	\}}t g d
}t||f||dd}tt||| d S )Nr7   r:   r>   rA   rE   rG   rH   rI   rJ   rK   Fcheck_finite)r   r   r   r   )rU   rV   rW   rX   rY   rZ   r_   r1   r1   r2   test_check_finite   s   z!TestSolveBanded.test_check_finitec                 C   s   t g dg dg dg dg}d\}}t g ddd}ttt||f|| ttt||f|d	d
g tttd|d	d
g d S )NrE   rG   rH   rI   rJ   )r8   rM         @      @rB   r<   r8   rM   rh   )r   rS   assert_raises
ValueErrorr   )rU   rW   rX   rY   badr1   r1   r2   test_bad_shape   s   zTestSolveBanded.test_bad_shapec                 C   s\   t g dg}tddgdgdgg|}t|g dg t|jtd t|g dg d S )Nr8   rM   rr   rh   r   r?   )      ?r8   g      ?f8)r   r   r   r   dtyper)   )rU   r^   r_   r1   r1   r2   test_1x1   s
   zTestSolveBanded.test_1x1c                 C   sl   g dg dg dg dg}g dg dg dg dg}d	\}}g d
}t ||f||}tt||| d S )Nr7   r:   r>   rA   rE   rG   rH   rI   rJ   rK   )r   r   r   )rU   rV   rW   rX   rY   r^   r_   r1   r1   r2   test_native_list_arguments   s   z*TestSolveBanded.test_native_list_argumentsN)__name__
__module____qualname__r`   rf   rl   rn   rq   rw   r|   r}   r1   r1   r1   r2   r5   )   s    r5   c                   @   s   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dd Zdd Zdd Zdd Zdd Zdd Zdd Zdd  Zd!d" Zd#d$ Zd%d& Zd'd( Zd)d* Zd+d, Zd-S ).TestSolveHBandedc                 C   B   t g dg dg dg}t g d}t||}t|g d d S NrF   rF   rM   rM   r8   r8   r8   rs   rs   rs   rs   r8   rs   r8   rM   rF   r8   rF   rF   r   r   r   rU   rW   r^   r_   r1   r1   r2   test_01_upper      
zTestSolveHBanded.test_01_upperc                 C   sr   t g dg dg dg}t ddgddgddgddgg}t||}t ddgddgddgddgg}t|| d S )	Nr   r   r   r8         @rs   rM   rF   r   rU   rW   r^   r_   expectedr1   r1   r2   test_02_upper       
zTestSolveHBanded.test_02_upperc                 C   sV   t g dg dg dg}t g ddd}t||}t|t g ddd d S )Nr   r   r   r   rB   r@   r   r   rS   r   r   r   r1   r1   r2   test_03_upper   s   
zTestSolveHBanded.test_03_upperc                 C   sF   t g dg dg dg}t g d}t||dd}t|g d d S )Nr   r8   r8   r8   r   rM   rM   rF   rF   r   Tlowerr   r   r   r1   r1   r2   test_01_lower   s   zTestSolveHBanded.test_01_lowerc                 C   sv   t g dg dg dg}t ddgddgddgddgg}t||dd	}t d
dgdd
gd
dgd
d
gg}t|| d S )Nr   r   r   r8   r   rs   rM   Tr   rF   r   r   r1   r1   r2   test_02_lower   s    zTestSolveHBanded.test_02_lowerc                 C   sJ   t g dg dg dgtd}t g dtd}t||}t|g d d S )Nr   r   r   r{   r   r   r   r	   r   r   r   r1   r1   r2   test_01_float32
  s   
z TestSolveHBanded.test_01_float32c                 C   sz   t g dg dg dgtd}t ddgddgddgddggtd}t||}t d	dgdd	gd	dgd	d	gg}t|| d S )
Nr   r   r   r   r8   r   rs   rM   rF   r   r   r1   r1   r2   test_02_float32  s(   
z TestSolveHBanded.test_02_float32c                 C   r   )Nr   r                r   r   r   )       @            @            @      ?       @      ?)rF   r8   r8   rF   r   r   r1   r1   r2   test_01_complex-  r   z TestSolveHBanded.test_01_complexc                 C   sr   t g dg dg dg}t ddgddgdd	gd
dgg}t||}t ddgddgddgddgg}t|| d S )Nr   r   r   r          @      @r               r   y      @       @r   re   rF   r8   r   r   r1   r1   r2   test_02_complex;  r   z TestSolveHBanded.test_02_complexc                 C   <   t g dg dg}t g d}t||}t|g d d S )Nr   r8   r8   rs   rs   rs   r8   rs   r8   rF   r8   rF   r   r   r1   r1   r2   test_tridiag_01_upperP     
z&TestSolveHBanded.test_tridiag_01_upperc                 C   s`   t g dg dg}t ddgddgddgg}t||}t ddgddgddgg}t|| d S )Nr   r   r8   rs   rM   rF   r   r   r1   r1   r2   test_tridiag_02_upper[     
z&TestSolveHBanded.test_tridiag_02_upperc                 C   sP   t g dg dg}t g ddd}t||}t|t g ddd d S )Nr   r   r   rB   r@   r   r   r   r1   r1   r2   test_tridiag_03_upperl  s   
z&TestSolveHBanded.test_tridiag_03_upperc                 C   @   t g dg dg}t g d}t||dd}t|g d d S )Nr   r8   r8   r   r   Tr   r   r   r   r1   r1   r2   test_tridiag_01_lowerw  s   z&TestSolveHBanded.test_tridiag_01_lowerc                 C   sd   t g dg dg}t ddgddgddgg}t||dd}t ddgddgddgg}t|| d S )	Nr   r   r8   rs   rM   Tr   rF   r   r   r1   r1   r2   test_tridiag_02_lower  s   z&TestSolveHBanded.test_tridiag_02_lowerc                 C   sD   t g dg dgtd}t g dtd}t||}t|g d d S )Nr   r   r   r   r   r   r   r1   r1   r2   test_tridiag_01_float32  s   
z(TestSolveHBanded.test_tridiag_01_float32c                 C   sh   t g dg dgtd}t ddgddgddggtd}t||}t ddgddgddgg}t|| d S )Nr   r   r   r8   rs   rM   rF   r   r   r1   r1   r2   test_tridiag_02_float32  s"   
z(TestSolveHBanded.test_tridiag_02_float32c                 C   r   )Nr   r   r   r   )r   r   r   )rF   r8   r8   r   r   r1   r1   r2   test_tridiag_01_complex  r   z(TestSolveHBanded.test_tridiag_01_complexc                 C   s`   t g dg dg}t ddgddgddgg}t||}t d	d
gdd	gddgg}t|| d S )Nr   r   r                 @r   r   r   rs   rF   re   r8   r   r   r1   r1   r2   test_tridiag_02_complex  r   z(TestSolveHBanded.test_tridiag_02_complexc                 C   r   )Nr   r   r   Fro   r   r   r   r1   r1   r2   rq     s   z"TestSolveHBanded.test_check_finitec                 C   s\   t g dg dg}t ddgddgg}ttt|| ttt|ddg ttt|dg d S )Nr   r   r8   rs   rM   )r   rt   ru   r   )rU   rW   r^   r1   r1   r2   test_bad_shapes  s   z TestSolveHBanded.test_bad_shapesc                 C   s:   t dggg dg}t|g dg t|jtd d S )Nr@   r@   r?   rN   rx   rz   )r   r   r   r{   r)   )rU   r_   r1   r1   r2   r|     s   zTestSolveHBanded.test_1x1c                 C   s:   g dg dg dg}g d}t ||}t|g d d S r   )r   r   r   r1   r1   r2   r}     s   
z+TestSolveHBanded.test_native_list_argumentsN)r~   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   rq   r   r|   r}   r1   r1   r1   r2   r      s.    	r   c                   @   s  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d Zdd Zdd Zdd Zdd  Zd!d" Zd#d$ Zd%d& Zd'd( Zd)d* Zd+d, Zd-d. Zd/d0 Zd1d2 Zd3d4 Zd5d6 Zd7d8 Zd9d: Zd;d< Z d=d> Z!e"j#j$d?d@dAdB Z%dCS )D	TestSolvec                 C      t jd d S N  r)   r
   seedrU   r1   r1   r2   setup_method     zTestSolve.setup_methodc                 C   sl   ddgddgg}t |ddg}tt||ddg ddgddgg}ddg}t ||}tt||ddg d S )Nr@   r8   r                   333333?r   r   r   )rU   rV   Zx0r^   r1   r1   r2   test_20Feb04_bug  s   
zTestSolve.test_20Feb04_bugc                 C   sZ   ddgddgg}ddgddggddgddgddggfD ]}t ||}tt||| qd S )Nr@   r9   r;   r<   r   r?   r   rU   rV   r^   r_   r1   r1   r2   test_simple  s   
zTestSolve.test_simplec                 C   sd   t ddgddggd}ddgddgddggdd	gt ddgdfD ]}t||}tt||| q d S )
N   r?   rb   r<   Dre   r   r@   r   )r   r   r   r   r   r1   r1   r2   test_simple_complex  s   
zTestSolve.test_simple_complexc                 C   \   ddgddgg}dD ]!}ddgddggddgfD ]}t ||d|d}tt||| qq
d S )	Nr?   rN   r   r   r@   r@   r   posassume_ar   r   rU   rV   r   r^   r_   r1   r1   r2   test_simple_pos     zTestSolve.test_simple_posc                 C   P   ddgddgg}ddgddgddggfD ]}t ||dd}tt||| qd S )Nr   r?   r<   re   r   r   r   r   r   r1   r1   r2   test_simple_pos_complexb     z"TestSolve.test_simple_pos_complexbc                 C   r   )	Nr?   rN   r   r@   r   symr   r   r   r1   r1   r2   test_simple_sym"  r   zTestSolve.test_simple_symc                 C   r   )Nr   r?   re   r   r   r   r   r   r1   r1   r2   test_simple_sym_complexb+  r   z"TestSolve.test_simple_sym_complexbc                 C   sV   ddgddgg}ddgddgddgddggfD ]}t ||dd	}tt||| qd S )
Nr   r   r   re   r   r@   r?   r   r   r   r   r1   r1   r2   test_simple_sym_complex3     z!TestSolve.test_simple_sym_complexc                 C   sb   ddgddgg}dD ]$}ddgddggddgddgfD ]}t ||d|d	}tt||| qq
d S )
Nr?   rN   r   r   r@   r   re   herr   r   r   r1   r1   r2   test_simple_her_actuallysym<  s   z%TestSolve.test_simple_her_actuallysymc                 C   sV   ddgddgg}ddgddgddgddggfD ]}t ||d	d
}tt||| qd S )Nr   r   r   r   re   r   r@   r?   r   r   r   r   r1   r1   r2   test_simple_herF  r   zTestSolve.test_simple_herc                 C   s   d}t ||gt ||gd  }t||fd}t|}t|t|d  }td|D ]}|d d |f }t|||d d |f< q*t|| d S )Nr?   re   r   r   r   )r
   r   r   r   r   r   r   )rU   nAXZAinvRirr1   r1   r2   test_nils_20Feb04O  s   zTestSolve.test_nils_20Feb04c                 C   sr   d}t ||g}t|D ]}dd|||f   |||f< qtdD ]}t |dg}t||}tt||| q!d S )Nr9   皙?r<   rN   r
   ranger   r   r   rU   r   rV   r   r^   r_   r1   r1   r2   test_randomZ  s   
zTestSolve.test_randomc                 C   s   d}t ||gdt ||g  }t|D ]}dd|||f   |||f< qtdD ]}t |dg}t||}tt||| q)d S )Nr9   re   r   r?   rN   r   r   r1   r1   r2   test_random_complexe  s   
zTestSolve.test_random_complexc                 C   s   d}t ||g}t|D ]#}tdd|||f   |||f< t|D ]}|||f |||f< q"qtdD ]}t |g}t||dd}tt||| q4d S )Nr9   r   r<   r   r   )r
   r   absr   r   r   rU   r   rV   r   jr^   r_   r1   r1   r2   test_random_symo  s    
zTestSolve.test_random_symc                 C   s   d}t ||g}|dt ||g  }t|D ]%}tdd|||f   |||f< t|D ]}t|||f |||f< q,qt |gdt |g  }tdD ]}t||dd}tt||| qLd S )Nr9   re   r   rb   r?   r   r   )r
   r   r   r   r   r   r   r   r1   r1   r2   test_random_sym_complex{  s    z!TestSolve.test_random_sym_complexc                 C   s^   ddgddgg}ddgddggddgddgddggfD ]}t ||dd}tt||| qd S )	Nr@   r9   r;   r<   r   r?   Fro   r   r   r1   r1   r2   rq     s   zTestSolve.test_check_finitec                 C   s8   d}g d}t ||}t| | t|jdkd d S )Nr@   r   rN   z'Scalar_a_1D_b test returned wrong shape)r   r   Zravelr   shaper   r1   r1   r2   test_scalar_a_and_1D_b  s
   
z TestSolve.test_scalar_a_and_1D_bc                 C   sp   t g dg dg dg dg}t ddgddgd	d
gddgg}t||}t|t g dg dgj d S )N)?g
ףp=
@gffffff @g{Gz)g     h@g     prg     Wg     w)gHzG?gQg333333gp=
ף)g(\gQgzGg?g
ףp=
#@gQx2@g     @g      l@gp=
ף?g(\*gzGgףp=
)r8   rB   rN   r   )rN   r?   r<   r@   )r)   r   r   r   Tr   r1   r1   r2   test_simple2  s    


zTestSolve.test_simple2c              	   C   sz   t g dg dg dg dg}t ddgddgd	d
gddgg}t||}t|t ddgddgddgddgg d S )N)yq=
ףpffffff@yQ?\(\	@y(\y
ףp=
?q=
ףp)y333333333333,y̌@@      y      *@y)@+@)yRQ
Qy(\Gz@yQyQ??)yHzG@(\?yQ῅Q?y(\Gzy\(\q=
ףp?y(\B:@p=
I@yRQ?@y33333P@33333Uy33333c@ffffff,y      (\O9@y333333q=
ף0>@y(\?(\@y{Gz333333@      ?      ?y             y       @      y      @      ?y            y            @y              @)r)   r   r   r   r   r1   r1   r2   test_simple_complex2  s    


zTestSolve.test_simple_complex2c                 C   s   t g dg dg dg dg}t ddgddgd	d
gddgg}t ddgddgddgddgg}t||dd}t|| t| j|ddd}t|| d S )N)gq=
ףpy)\(?)\(y{GzzGyHzG@      )r   gQyq=
ףpQ?yGz@zG?)r   r   g=
ףp!yHzG?)r   r   r   g(\yףp=
@\(\$yGz<@RCy)\(#
ףp=
@y
ףp=8 yp=
ף0yQ@zGQy)\(@Q@yRA(\2@r   y             @y      @       y      @       y             @y            @      ?      y      @      r   r   Tr   )r)   r   r   r   conjr   )rU   rV   r^   resr_   r1   r1   r2   test_hermitian  s&   



zTestSolve.test_hermitianc                 C   sp   t dddd}tt |d t ddd}t|g d tt |d t ddd}t|g d d S )	Nr@   
   rN   	   r   r   )      "@r   r8   r   r)   r   rS   r   trilonesr   rU   r   r_   r1   r1   r2   test_pos_and_sym  s
   zTestSolve.test_pos_and_symc                 C   sh   t g dg dg dg dg dg dg dg dg dg	}t dd d d f }ttt|| d S )N)	r@   r   r   r   r   r   r@   r   r@   )	r@   r@   r@   r   r   r   r@   r   r@   )	r   r@   r@   r   r   r   r@   r   r@   )	r@   r   r@   r@   r@   r@   r   r   r   )	r@   r@   r@   r@   r@   r@   r@   r@   r@   r  )r)   r   r   rt   r    r   rU   rV   r^   r1   r1   r2   test_singularity  s   
	zTestSolve.test_singularityc                 C   sf   t ddgddgg}t d}t  td ttt|| W d    d S 1 s,w   Y  d S )Nr@   r8   g?r?   error)	r)   r   r
  warningscatch_warningssimplefilterrt   r$   r   r  r1   r1   r2   test_ill_condition_warning  s   


"z$TestSolve.test_ill_condition_warningc                 C   s@   t d}g g g}t||}t|jdkd t|jdkd d S )Nr?   r   zReturned array is not empty)r?   r   z#Returned empty array shape is wrong)r)   eyer   r   sizer   r   r1   r1   r2   test_empty_rhs  s
   

zTestSolve.test_empty_rhsc                 C   s2   t d}t jddd}t||}t|| d S )Nr?   rN   r<   )r)   r  r
   randr   r   r   r1   r1   r2   test_multiple_rhs  s   

zTestSolve.test_multiple_rhsc                 C   sr   t dddd }tt |d t ddd}t|g d tt |d t ddd}t|g d d S )	Nr  rN   r@   T
transposed)r   g?r@   F)r  gg333333r  r  r1   r1   r2   test_transposed_keyword  s
   z!TestSolve.test_transposed_keywordc                 C   sL   t dt}tt t||dd W d    d S 1 sw   Y  d S )NrN   Tr  )r)   r  astypecomplexrt   NotImplementedErrorr   rU   rV   r1   r1   r2   test_transposed_notimplemented  s   
"z(TestSolve.test_transposed_notimplementedc                 C   s   t ttddgd d S )Nr@   r?   rt   ru   r   r   r1   r1   r2   test_nonsquare_a     zTestSolve.test_nonsquare_ac                 C   s@   t ttdtdtd ttttdtd d S )NrN   r<   )r   r   r)   r  r
  rt   ru   r   r1   r1   r2   test_size_mismatch_with_1D_b  s   "z&TestSolve.test_size_mismatch_with_1D_bc                 C   s   t ttdddd d S )Nr@   Zzxcvr   r!  r   r1   r1   r2   test_assume_a_keyword  r#  zTestSolve.test_assume_a_keywordz5Failure on OS X (gh-7500), crash on Windows (gh-8064)reasonc                 C   s  ddg}g d}t jt jt jt jg}t|||D ]\}}}|t jt jfv }|dkr-|s-qd|||}t j	||
|}	t j	|
|}
|rW|	dt j	|| 
| }	|dkra|	|	j }	n|dkrm|	|	j  }	n|dkr|	 j|	d	t |  }	|t jt jfv rd
nd}|dv r|t jt jfv r|d9 }t|	|
|d}t|	||
|| || |d |dkr|t jt jfvrt|	|
|dd}t|	||
|| || |d qd S )Nr  d   )genr   r   r   r   z+Failed for size: {}, assume_a: {},dtype: {}re   r   r   r   -q=gư>)r)  r   r   r   atolrtolerr_msgT)r   r  )r)   r	   r+   	complex64r-   	itertoolsproductformatr
   randnr  r   r  r   r  r   r   )rU   sizesZ	assume_asZdtypesr  r   r{   Z
is_complexr.  rV   r^   tolr_   r1   r1   r2   'test_all_type_size_routine_combinations  sV   
z1TestSolve.test_all_type_size_routine_combinationsN)&r~   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   rq   r   r   r   r  r  r  r  r  r  r  r   r"  r$  r%  pytestmarkskipr6  r1   r1   r1   r2   r     sD    	
			
	
r   c                   @   $   e Zd Zdd Zdd Zdd ZdS )TestSolveTriangularc                 C   s   t ddgddgg}ddg}t||dd}t|ddg t|j|dd}t|ddg t||ddd}t|ddg td}t||ddd}t|d	d
gddgg dS ):
        solve_triangular on a simple 2x2 matrix.
        r@   r   r?   Tr   Fry   r   Ztransr8         N)r   r   r   r   r   rU   r   r^   Zsolr1   r1   r2   r   <  s   zTestSolveTriangular.test_simplec                 C   s>  t ddgddgg}td}t||ddd}t|dd	gdd
gg tddg}t||ddd}t|ddgddgg t||ddd}t|ddgddgg t||ddd}t|ddgddgg t|j|ddd}t|ddgddgg t|j|ddd}t|ddgddgg t|j|ddd}t|ddgddgg dS )zA
        solve_triangular on a simple 2x2 complex matrix
        r   r   re   r?   Tr@   r=  y      ?      y      п      пry         ?       @y             y      ?      ?y      ?      y            пFr>  N)r   r   r   r   r)   rj   r   r?  r1   r1   r2   r   Q  s"   z'TestSolveTriangular.test_simple_complexc                 C   s>   t ddgddgg}ddg}t||ddd}t|ddg dS )r<  r@   r   r?   TF)r   rp   N)r   r   r   r?  r1   r1   r2   rq   n  s   z%TestSolveTriangular.test_check_finiteN)r~   r   r   r   r   rq   r1   r1   r1   r2   r;  :  s    r;  c                   @   <   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd ZdS )TestInvc                 C   r   r   r   r   r1   r1   r2   r   y  r   zTestInv.setup_methodc                 C   sf   ddgddgg}t |}tt||td g dg dg dg}t |}tt||td d S )Nr@   r?   rN   r<   r   r<   r   r=   rC      r  )r   r   r   r)   r  rU   rV   a_invr1   r1   r2   r   |  s   zTestInv.test_simplec                 C   sh   d}t dD ]+}t||g}t |D ]}dd|||f   |||f< qt|}tt||t| qd S )Nr9   r<   r   r   r
   r   r   r   r   rU   r   r   rV   rG  r1   r1   r2   r     s   
zTestInv.test_randomc                 C   s8   ddgddgg}t |}tt||ddgddgg d S )Nr@   r?   rN   r   r   r   r   r   rF  r1   r1   r2   r     s    zTestInv.test_simple_complexc                 C   sx   d}t dD ]3}t||gdt||g  }t |D ]}dd|||f   |||f< qt|}tt||t| qd S )Nr9   r<   rb   r   rH  rI  r1   r1   r2   r     s   
zTestInv.test_random_complexc                 C   s<   ddgddgg}t |dd}tt||ddgddgg d S )Nr@   r?   rN   r<   Fro   r   rJ  rF  r1   r1   r2   rq     s    zTestInv.test_check_finiteN)	r~   r   r   r   r   r   r   r   rq   r1   r1   r1   r2   rB  x  s    

rB  c                   @   s   e Zd Zdd Zdd Zdd Zejdddgd	d	gg d
gdd Z	dd Z
ejddd ejd dd	 D dd Zdd Zdd Zdd Zdd Zdd ZdS ) TestDetc                 C   s   t jd| _d S )Nl   *n`/ )r)   r
   Zdefault_rngrngr   r1   r1   r2   r        zTestDet.setup_methodc                 C   s   t dgg}t|}|jjdksJ t |sJ |dks J t jdggggdd}t|}|jjdks7J t |s>J |dksDJ t jdgggt jd}t|}|jjdks[J t |sbJ |dkshJ d S )Nr@   dr8   fr   y      ?      @r   )r)   r   r   r{   charZisscalarr/  rU   rV   detar1   r1   r2   test_1x1_all_singleton_dims  s   z#TestDet.test_1x1_all_singleton_dimsc                 C   s   | j jg dtjd}t|}|jjdksJ |jdksJ t|t	| | j jg dtjdt
d }t|}|jjdksBJ |jdksIJ t|t	| d S )N)r<   r   r@   r@   r   rN  r<   r   re   r   )rL  r
   r)   r	   r   r{   rP  r   r   Zsqueezer/  rQ  r1   r1   r2   test_1by1_stacked_input_output  s    z&TestDet.test_1by1_stacked_input_outputr   r?   r9   )rN   r?   r9   r9   c                 C   s   | j jdd|d}t|tj|}}t|| | j jdd|dd }|| j jdd|d7 }t|tj|}}t|| d S )N      r8   )r  re   r>  ry   )rL  uniformr   r)   linalgr   )rU   r   rV   Zd1Zd2r^   Zd3Zd4r1   r1   r2   #test_simple_det_shapes_real_complex  s   
z+TestDet.test_simple_det_shapes_real_complexc                 C   s   t g dg dg dg dg dg dg dg dg}tt|d	 ttt d
ddd t jg dg dg dg dgt jd}tt|d t g dg dg dg dg dg dg dg dgd }tt|d d S )N)r@   r@   r@   r@   r@   r@   r@   r@   )r@   rB   r@   rB   r@   rB   r@   rB   )r@   r@   rB   rB   r@   r@   rB   rB   )r@   rB   rB   r@   r@   rB   rB   r@   )r@   r@   r@   r@   rB   rB   rB   rB   )r@   rB   r@   rB   rB   r@   rB   r@   )r@   r@   rB   rB   rB   rB   r@   r@   )r@   rB   rB   r@   rB   r@   r@   rB   g      @   r   rF   )r   r                 r  )r   r         ?        r[  )re   r   r   r   )r\  re   r   r   r   y      @        )g             r8   rF   rF   rF   rF   rF   )r8   rF   rF   rF   rF   rF   rF   rF   )rF   g      rF   g      r8   rF   rF   rF   )rF   r8   rF   rF   rF   rF   rF   rF   )rF   rF   rF   g      rF   g      r8   rF   )rF   rF   rF   r8   rF   rF   rF   rF   )rF   rF   rF   rF   rF   g       rF   g      ")rF   rF   rF   rF   rF   r8   rF   rF   re   r  )r)   r   r   r   r   rS   r/  r  r1   r1   r2   test_for_known_det_values  s>   


z!TestDet.test_for_known_det_valuestypc                 C   s   g | ]}|d vr|qS )ZgGr1   ).0r_   r1   r1   r2   
<listcomp>  s    zTestDet.<listcomp>ZAllNc                 C   s8   d}| j ||g|}tt|tjtjfsJ d S )Nr<   )rL  r
   r  
isinstancer   r)   r+   r-   )rU   r_  r   rV   r1   r1   r2   "test_sample_compatible_dtype_input  s   z*TestDet.test_sample_compatible_dtype_inputc              	   C   sB  d}t dg dD ](\}}tt|d ttjddggd |d W d    n1 s,w   Y  q	tt|d ttjd	d
ggd dd W d    n1 sQw   Y  tt|d ttjddggd dd W d    n1 suw   Y  tt|d ttjddggd dd W d    d S 1 sw   Y  d S )Nz!cannot be cast to float\(32, 64\)ZSUO)Zbytes8Zstr32objectmatchrV   r^   r?   r      a   bVr(     zdatetime64[s]ztimedelta64[s])ziprt   	TypeErrorr   r)   r   )rU   msgctr1   r1   r2   test_incompatible_dtype_input  s   "z%TestDet.test_incompatible_dtype_inputc                 C   sP  t ttddgd t ttg dtg  t ttg dtg d ttdd ttg d W d    n1 sFw   Y  ttd	d ttg  W d    n1 scw   Y  ttdd ttg g W d    n1 sw   Y  ttdd ttg gg W d    d S 1 sw   Y  d S )
Nr   r8   )r   r   r   )rN   r   r   r8   r8   r8   zLast 2 dimensionsre  )r   r   rN   zat least two-dimensional)r   r   r)   emptyr   rt   ru   r   r1   r1   r2   test_empty_edge_cases
  s   ""zTestDet.test_empty_edge_casesc                 C   sL   t dddt j}| }t|dd}t|d ||k r$J d S )Nr  rN   Toverwrite_arF   )	r)   r   rS   r  r	   copyr   r   all)rU   rV   acrR  r1   r1   r2   test_overwrite_a  s
   
zTestDet.test_overwrite_ac                 C   s>   t g dg dg dg}|jdd tt|ddd d S )	N)rM   rF   r8   )      @rr   rV  rq  F)writeTrt  rL   )r)   r   Zsetflagsr   r   r  r1   r1   r2   test_readonly_array"  s   zTestDet.test_readonly_arrayc                 C   sL   ddgdt jgg}ttdd t| W d    d S 1 sw   Y  d S )Nr@   r?   rN   zarray must not containre  )r)   infrt   ru   r   r  r1   r1   r2   test_simple_check_finite(  s   
"z TestDet.test_simple_check_finite)r~   r   r   r   rS  rU  r7  r8  parametrizerY  r^  r)   	typecodesrc  rp  rs  ry  r|  r~  r1   r1   r1   r2   rK    s    

$%
rK  c                 C   s2   t | }|r
t|}t|| }t||}t||S )N)r   r   r   r   )rV   r^   cmplxata1b1r1   r1   r2   direct_lstsq.  s   


r  c                   @   sh   e Zd ZdZdd Zdd Zdd Zdd	 Zd
d Zdd Z	dd Z
dd Zdd Zdd Zdd ZdS )	TestLstsq)ZgelsdZgelssgelsyNc                 C   r   r   r   r   r1   r1   r2   r   ;  r   zTestLstsq.setup_methodc                 C   s   t D ]`}tjddgddgg|d}tjD ]M}dD ]H}dD ]C}| }tj||d}| }t|||||d}	|	d	 }
|	d
 }t|d
kd|  tt	||
|dt
|j dt
|j d| d qqqqd S )Nr@   r9   r;   r<   r   TF)r@   r   r   r  )rJ   r;   r<   lapack_driverru  overwrite_br   r?   !expected efficient rank 2, got %srZ  
driver: %sr+  )REAL_DTYPESr)   r   r  lapack_driversrv  r   r   r   r   r3   r{   )rU   r{   rV   r  	overwritebtr  r^   r  outr_   r   r1   r1   r2   test_simple_exact>  s6   
zTestLstsq.test_simple_exactc              
   C   s2  t D ]}tjddgddgddgg|d}tjg d|d}tjD ]u}dD ]p}| }| }t|||||d	}|d
 }	|dkrLt|||	 d }
n|d }
|d }t	|dkd|  t
tt||	| d jd
d|
dt|j dt|j d| d t
|	ddt|j dt|j d| d q$q qd S )Nr@   r?   r<   r   rN   r   r   r  r  r   r  r  axisrZ  r  r-  r,  r.  )gm۶mۿgm۶m?)r  r)   r   r  r  rv  r   sumr   r   r   r   r3   r{   )rU   r{   rV   r^   r  r  r  r  r  r_   	residualsr   r1   r1   r2   test_simple_overdetW  s>    
zTestLstsq.test_simple_overdetc              
   C   s:  t D ]}tjddgddgddgg|d}tjg d|d}tjD ]y}dD ]t}| }| }t|||||d	}|d
 }	|dkrP|||	 }
t|
|
	  }n|d }|d }t
|dkd|  ttt||	| d jd
d|dt|j dt|j d| d t|	ddt|j dt|j d| d q$q qd S )Nr@  r?   r<   r   rN   r   )r@   r   rN   r  r  r   r  r@   r  r  rZ  r  r  )yu{޿E(B?yӽu{?(YJV?)COMPLEX_DTYPESr)   r   r  r  rv  r   r   r  r  r   r   r   r3   r{   )rU   r{   rV   r^   r  r  r  r  r  r_   r  r  r   r1   r1   r2   test_simple_overdet_complext  sB    
z%TestLstsq.test_simple_overdet_complexc              
   C   s   t D ]Z}tjg dg dg|d}tjddg|d}tjD ]>}dD ]9}| }| }t|||||d}|d }	|d }
t|
dkd	|
  t|	d
dt	|j
 dt	|j
 d| d q!qqd S )Nr   rC  r   r@   r?   r  r  r   r  )gqqgqq?gdq?rZ  r  r  )r  r)   r   r  r  rv  r   r   r   r3   r{   )rU   r{   rV   r^   r  r  r  r  r  r_   r   r1   r1   r2   test_simple_underdet  s,   
zTestLstsq.test_simple_underdetc                 C   sF  t D ]}dD ]}tjD ]}dD ]}tjt||g|d}t|D ]}dd|||f   |||f< q tdD ]g}tjt|dg|d}| }| }	t||	|||d}
|
d	 }|
d
 }t	||kd
|| |tju rtt|||dt|j dt|j d| d q5tt|||dt|j dt|j d| d q5qqqqd S )Nr9   rj  r  r   r9   r   r<   rN   r  r   r?   "expected efficient rank {}, got {}i  r  r    )r  r  r  r)   asarrayr
   r   rv  r   r   r2  r	   r   r   r3   r{   )rU   r{   r   r  r  rV   r   r^   r  r  r  r_   r   r1   r1   r2   test_random_exact  sN   




zTestLstsq.test_random_exactc                 C   s  t  dkr ttjtdkr t  d }|dkr t	d t
D ]}dD ]}tjD ]}dD ]}tjt||gdt||g  |d	}t|D ]}d
d|||f   |||f< qHtdD ]g}tjt|dg|d	}| }	| }
t|	|
|||d}|d }|d }t||kd|| |tju rtt|||dt|	j dt|	j d| d q]tt|||dt|	j dt|	j d| d q]q/q+q&q"d S )NWindowsz1.24.0r   glibcz(segfault observed on alpine per gh-17630r  r  re   r   r9   r   r?   rN   r  r  i  r  r  r  )platformsystemr   parser)   __version__Versionlibc_verr7  r9  r  r  r  r  r
   r   rv  r   r   r2  r/  r   r   r3   r{   )rU   Zlibc_flavorr{   r   r  r  rV   r   r^   r  r  r  r_   r   r1   r1   r2   test_random_complex_exact  sZ   





z#TestLstsq.test_random_complex_exactc                 C   s  t D ]}dD ]\}}tjD ]w}dD ]r}tjt||g|d}t|D ]}dd|||f   |||f< q"tdD ]K}tjt|dg|d}| }	| }
t|	|
|||d}|d	 }|d
 }t	||kd
|| t|t||d	ddt|	j dt|	j d| d q7qqqqd S )N)r9      )rj  r?   r  r   r9   r   r<   rN   r  r   r?   r  r  rZ  r  r  )r  r  r  r)   r  r
   r   rv  r   r   r2  r   r  r3   r{   rU   r{   r   mr  r  rV   r   r^   r  r  r  r_   r   r1   r1   r2   test_random_overdet  s@   

zTestLstsq.test_random_overdetc                 C   s"  t D ]}dD ]\}}tjD ]}dD ]z}tjt||gdt||g  |d}t|D ]}dd|||f   |||f< q*tdD ]K}tjt|dg|d}| }	| }
t|	|
|||d	}|d
 }|d }t	||kd
|| t|t||dddt|	j dt|	j d| d q?qqqqd S )Nr  r  re   r   r9   r   r?   rN   r  r   r  r@   r  rZ  r  r  )r  r  r  r)   r  r
   r   rv  r   r   r2  r   r  r3   r{   r  r1   r1   r2   test_random_complex_overdet  sD   

z%TestLstsq.test_random_complex_overdetc              	   C   s   t  }|td W d    n1 sw   Y  td}ttdtj	ddD ]N\}}}}}|
|}tj||d}	| }
|	 }t|
|||||d}|d }|d }t|dkd	|  tt|||	d
t|j d
t|j d| d q(d S )NzIinternal gelsd driver lwork query error,.*Falling back to 'gelss' driver.))r@   r9   r  r  r  r   )r  rp   ru  r  r   r?   r  rZ  r  r  )r   filterRuntimeWarningr)   r   r0  r1  r  r  r  r  rv  r   r   r   r   r3   r{   )rU   supr  r{   r  r  r  rp   rV   r^   r  r  r  r_   r   r1   r1   r2   rq   ,  s<   

zTestLstsq.test_check_finitec           	   	   C   s   dD ]M\}}t |}tt ||\}}}}t|t |d f|dd    |d r1t dn	t jj|ddd }t|| t|dkd t|t d qd S )N))r   r?   r   ))r   r<   r  )r<   r   )r<   )r  )r<   r?   r@   r  r   r  r?   zexpected rank 0)	r)   r
  r   r   r   rr  rX  r   r   )	rU   Za_shapeZb_shaper^   r_   ZresiduesZranksZresidues_should_ber1   r1   r2   test_zero_sizeL  s   
"
zTestLstsq.test_zero_sizeN)r~   r   r   r  r   r  r  r  r  r  r  r  r  rq   r  r1   r1   r1   r2   r  7  s    !"' r  c                   @   T   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S )TestPinvc                 C   r   r   r   r   r1   r1   r2   r   \  r   zTestPinv.setup_methodc                 C   s@   t g dg dg dgtd}t|}tt||td d S Nr   rC  rD  r   rN   r   floatr   r   r   r)   r  rU   rV   a_pinvr1   r1   r2   test_simple_real_  s   zTestPinv.test_simple_realc                 C   sb   t g dg dg dgtddt g dg dg dgtd  }t|}tt||td	 d S 
Nr   rC  rD  r   re   )r  rE  rC   )r=   r   r<   )rN   r?   r@   rN   r  r  r1   r1   r2   r   d  s   zTestPinv.test_simple_complexc                 C   sN   t g dg dg dgtd}t|}t g dg dg dg}t|| d S )Nr   rC  rC   rE  r  r   g|qgԕVUUſgc8?gqg^0<gq?g9?gԕVUU?g:87ȿr   r  r   r   rU   rV   r  r   r1   r1   r2   test_simple_singulark  s   zTestPinv.test_simple_singularc                 C   sH   t g dg dgtd}t|}t ddgddgdd	gg}t|| d S )
Nr   rC  r   g֋8g#q?g#qg#q?gIq?g#q̿r  r  r1   r1   r2   test_simple_colss  s   zTestPinv.test_simple_colsc                 C   sH   t ddgddgddggtd}t|}t g dg d	g}t|| d S )
Nr@   r?   rN   r<   r   r=   r   )gDpTUUgQUUտgvWUU?)gDpTUU?gQUU?g&>ڿr  r  r1   r1   r2   test_simple_rows{  s   zTestPinv.test_simple_rowsc                 C   s@   t g dg dg dg}t|dd}tt||td d S )Nr   )r<   r   r   rD  Fro   rN   )r   r   r   r   r)   r  r  r1   r1   r2   rq     s   zTestPinv.test_check_finitec                 C   sF   g dg dg dg}t |}tg dg dg dg}t|| d S )Nr   rC  r  r  r  r  )r   r   r   r  r1   r1   r2   test_native_list_argument  s   z"TestPinv.test_native_list_argumentc                 C   s   d}t tj||\}}tddd}| }d|d< d}d}t||d	d
}|| | | }	|| | | }
ttj	
|	ddd ttj	
|
ddd t|||d
}|| | | }	|| | | }
ttj	
|	ddd ttj	
|
ddd d S )N   g     A@rC   r   gMbP?)r   r   h㈵>g?rF   r,  r-  gMb@?r,  gvIh%,=g;O@{Gz?r-  )r#   r)   r
   r  r   rS   rv  r   r   rX  r   )rU   r   q_a_mrV   r,  r-  a_padiff1adiff2r1   r1   r2   test_atol_rtol  s"   zTestPinv.test_atol_rtolN)r~   r   r   r   r  r   r  r  r  rq   r  r  r1   r1   r1   r2   r  [  s    r  c                   @   rA  )TestPinvSymmetricc                 C   r   r   r   r   r1   r1   r2   r     r   zTestPinvSymmetric.setup_methodc                 C   sP   t g dg dg dgtd}t||j}t|}tt||td d S r  )r   r  r)   r   r   r   r   r  r  r1   r1   r2   r    s   z"TestPinvSymmetric.test_simple_realc                 C   s|   t g dg dg dgtd}t||j}tj|\}}}|d  d9  < t|| |}t|}t|}t	|| d S )Nr   rC  r  r   r   rB   )
r   r  r)   r   r   rX  Zsvdr   r   r   )rU   rV   rY   r  vtr  Za_pinvhr1   r1   r2   test_nonpositive  s   z"TestPinvSymmetric.test_nonpositivec                 C   sv   t g dg dg dgtddt g dg dg dgtd  }t|| j}t|}tt||td	 d S r  )	r   r  r)   r   r  r   r   r   r  r  r1   r1   r2   r     s   z%TestPinvSymmetric.test_simple_complexc                 C   sT   t g dg dg dgtd}t||j}t| }tt||td d S r  )	r   r  r)   r   r   r   tolistr   r  r  r1   r1   r2   r    s   z+TestPinvSymmetric.test_native_list_argumentc                 C   s  d}t tj||\}}tg ddg|d   }|j| | }tg ddg|d   }|j| | }d}d}t||dd	}|| | | }	|| | | }
tt|	|d
d tt|
ddd t|||d	}|| | | }	|| | | }
tt|	dd
d tt|
dd
d d S )Nr  )r<   rN   r?   r@   vk?gﭣ>gu>r=   )r<   rN   r?   r@   r  rF   rF   r  g1?r  r   r  r*  gdy=r  -C6?)	r#   r)   r
   r  rj   r   r   r   r   )rU   r   r  r  rV   r  r,  r-  r  r  r  r1   r1   r2   r    s$   z TestPinvSymmetric.test_atol_rtolN)	r~   r   r   r   r  r  r   r  r  r1   r1   r1   r2   r    s    
r  scale)g#B;r8   @xDpinv_c                 C   sD   t ddgddgg|  }t dt | }||}t|| d S )Nr@   r   g|=r8   )r)   r   rj   r   )r  r  r_   r   Zx_invr1   r1   r2   test_auto_rcond  s   r  c                   @   sV   e Z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 )TestVectorNormsc                 C   s   t jd D ]0}t jg d|d}tdt |jjd }tt|t 	d|d tt|dt 	d|d qt jd	 D ]0}t jg d
|d}tdt |jjd }tt|t 	d|d tt|dt 	d|d q;d S )NZAllFloatr   r   gV瞯<r9   rD   r  r?   Complex)re   rb   y              @)
r)   r  r   maxr.   r/   realr   r   sqrt)rU   r{   r_   r5  r1   r1   r2   
test_types  s   zTestVectorNorms.test_typesc                 C   s    t dgtd}tt|| d S )Nr  r   )r   r	   r   r   r  r1   r1   r2   test_overflow  s   zTestVectorNorms.test_overflowc                 C   sd   t dgdgd  td}ztt|d ddd W d S  ty1   d}tt|d d	|d
 Y d S w )N     @r@   i'  r   ry   r  r  zO: Result should equal either 0.0 or 0.5 (depending on implementation of snrm2).rF   )r.  )r   r	   r   r   AssertionErrorr   )rU   rV   rm  r1   r1   r2   test_stable  s   zTestVectorNorms.test_stablec                 C   s,   t tg ddd t tg ddd d S )N)r@   r   rN   r   r?   r   rN   )r   r   r   r1   r1   r2   test_zero_norm  s   zTestVectorNorms.test_zero_normc                 C   s^   t ddgddgggd d}tt|ddddggd  tt|dddd	gd gd  d S )
Nr?   r@   rN   r<   rN  r  5D+@6f~@rz  )r)   r   r   r   r  r1   r1   r2   test_axis_kwd  s   $zTestVectorNorms.test_axis_kwdc                 C   sx   t ddgddgggd d}t|ddd}t|dd	gggd  t|jd
k tt|dddddgdgggd  d S )Nr?   r@   rN   r<   rN  T)r  keepdimsr  r  )r?   r@   r?   rr   g      @)r)   r   r   r   r   r   r  r1   r1   r2   test_keepdims_kwd  s
   (z!TestVectorNorms.test_keepdims_kwdz64-bit BLAS requiredr&  c                 C   s<   t dd tjdgtjd}d|d< t|}~t|d d S )NihB  )Zfree_mbl        r   r@   rB   r8   )r'   r)   r   r+   r   r   )rU   r_   r  r1   r1   r2   test_large_vector%  s   
z!TestVectorNorms.test_large_vectorN)r~   r   r   r  r  r  r  r  r  r7  r8  Zskipifr(   r  r1   r1   r1   r2   r    s    r  c                   @   r:  )TestMatrixNormsc           	   
   C   s   t jd dD ]p\}}t jt jt jt jt jfD ]_}dt j||	| }t 
|jt jr@|dt j||  	|}t j}nt j}d ddddd	t jt j fD ]&}t||d
}t jj||d
}t ||svt jj|	||d
}t|| qPqqd S )Nr   )rh   )r@   rN   )rN   r@   )r<   r<   rT  )r   r<   r  y              $@Zfror@   rB   r?   )ord)r)   r
   r   singledoubleZcsingleZcdoubleZint64r3  r  Z
issubdtyper{   Zcomplexfloatingr}  r   rX  Zallcloser   )	rU   r   r  ro  r   Zt_highorderactualZdesiredr1   r1   r2   test_matrix_norms1  s$   
z!TestMatrixNorms.test_matrix_normsc                 C   s  t ddgddgggd d}t|t jdd}tt |ddt jd	d}t|dd	d}t|| t|| t|| t|j|j  koG|jkn   t|ddd}tt |dddd	d}t|t jd	d}t|| t|| t|| t|j|j  ko|jk d S    d S )
Nr?   r@   rN   r<   rN  r  )r  r  r   r   )r)   r   r   r}  swapaxesr   r   r   )rU   rV   r^   rn  rN  r1   r1   r2   r  E  s   


"


,zTestMatrixNorms.test_axis_kwdc                 C   sZ   t jddddddd}t|t jdd	d
}t|ddd	d
}t|| t|j|jk d S )Nx   rN  r   r?   rN   r<   r   r  T)r  r  r  r@   r   )r)   r   rS   r   r}  r   r   r   )rU   rV   r^   rn  r1   r1   r2   r  V  s
   
z!TestMatrixNorms.test_keepdims_kwdN)r~   r   r   r  r  r  r1   r1   r1   r2   r  /  s    r  c                   @   r  )TestOverwritec                 C      t tddg d S NrN   rN   r   )r&   r   r   r1   r1   r2   
test_solve_  rM  zTestOverwrite.test_solvec                 C   r  r  )r&   r   r   r1   r1   r2   test_solve_triangularb  rM  z#TestOverwrite.test_solve_triangularc                 C   s   t dd ddg d S )Nc                 S   s   t d| |S )NrJ   )r   )rW   r^   r1   r1   r2   <lambda>f  s    z1TestOverwrite.test_solve_banded.<locals>.<lambda>)r<   r=   r=   r%   r   r1   r1   r2   test_solve_bandede  s   zTestOverwrite.test_solve_bandedc                 C   r  )N)r?   r=   r	  )r&   r   r   r1   r1   r2   test_solveh_bandedi  rM  z TestOverwrite.test_solveh_bandedc                 C      t tdg d S Nr  )r&   r   r   r1   r1   r2   test_invl  r   zTestOverwrite.test_invc                 C   r  r  )r&   r   r   r1   r1   r2   test_deto  r   zTestOverwrite.test_detc                 C   r  )N)rN   r?   r   )r&   r   r   r1   r1   r2   
test_lstsqr  rM  zTestOverwrite.test_lstsqc                 C   r  r  )r&   r   r   r1   r1   r2   	test_pinvu  r   zTestOverwrite.test_pinvc                 C   r  r  )r&   r   r   r1   r1   r2   
test_pinvhx  r   zTestOverwrite.test_pinvhN)r~   r   r   r  r  r
  r  r  r  r  r  r  r1   r1   r1   r2   r  ^  s    r  c                   @   r4   )TestSolveCirculantc                 C   sB   t g d}t g d}t||}tt||}t|| d S N)r@   r?   rN   r   )r@   rB   r@   r   )r)   r   r   r   r   r   rU   rn  r^   r_   yr1   r1   r2   test_basic1~  s
   
zTestSolveCirculant.test_basic1c                 C   sF   t g d}t ddd}t||}tt||}t|| d S )Nr@   r?   r   r  r<   rN   r)   r   r   rS   r   r   r   r   r  r1   r1   r2   test_basic2  s
   
zTestSolveCirculant.test_basic2c                 C   sH   t g d}t dddd}t||}tt||}t|| d S )Nr     r<   rN   r?   r  r  r1   r1   r2   test_basic3  s
   
zTestSolveCirculant.test_basic3c                 C   sJ   t g d}t dddd }t||}tt||}t|| d S )N)r@  r  r   r   rE  r<   r?   y              ?r  r  r1   r1   r2   rf     s
   
zTestSolveCirculant.test_complexc                 C   sJ   t jd t jd}t jd}t||}tt||}t|| d S )Ni1  2   )r)   r
   r   r3  r   r   r   r   r  r1   r1   r2   test_random_b_and_c  s   
z&TestSolveCirculant.test_random_b_and_cc                 C   s\   t g d}t g d}t||dd}tt||\}}}}t|| ttt|| d S )Nr@   r@   r   r   )r@   r?   rN   r<   r   )Zsingular)r)   r   r   r   r   r   rt   r    )rU   rn  r^   r_   r  r  Zrnkr  r1   r1   r2   test_singular  s   
z TestSolveCirculant.test_singularc                 C   s  t g dgg dgg}t g dg dg dg}t||dd}t|jd t |}tt|d	 |j|d d d	d d f< tt|d |j|d d dd d f< t	|| t||dd
d}t|jd t	t 
|d
d	| tt |dd|jdd}t|jd t	|| d S )N)rB   g      @rN   g      @)r@   r=   r=   g      @)r   r   r@   r@   r   )r@   rB   r   r   r@   )baxis)r<   r?   rN   r   rB   )r"  Zoutaxis)r?   rN   r<   r?   )Zcaxis)r)   r   r   r   r   
empty_liker   r   r   r   Zmoveaxisr   )rU   rn  r^   r_   r   r1   r1   r2   test_axis_args  s   
&&
z!TestSolveCirculant.test_axis_argsc                 C   s6   g d}g d}t ||}tt||}t|| d S r  )r   r   r   r   r  r1   r1   r2   r}     s
   
z-TestSolveCirculant.test_native_list_argumentsN)r~   r   r   r  r  r  rf   r  r!  r$  r}   r1   r1   r1   r2   r  |  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S )TestMatrix_Balancec                 C   s   t ttd d S )NzSome string for fail)rt   ru   r"   r   r1   r1   r2   test_string_arg  r   z"TestMatrix_Balance.test_string_argc                 C   sD   t tttddgdtjgg t tttddgdtjgg d S )Nr@   r?   rN   )rt   ru   r"   r)   r   r}  nanr   r1   r1   r2   test_infnan_arg  s   z"TestMatrix_Balance.test_infnan_argc                 C   s@   t tddgddgg\}}tttt|dg d S )Nr  r@   r   r   )r"   r)   r   r   difflog2rj   )rU   r  r  r1   r1   r2   test_scaling  s   "zTestMatrix_Balance.test_scalingc                 C   sB   t g dg dg dg}t|\}}tt|||| d S )N)r@   r   r  )r@   r@   r  )r  g      Y@r@   )r)   r   r"   r   r   r   )rU   r   r_   r  r1   r1   r2   test_scaling_order  s   z%TestMatrix_Balance.test_scaling_orderc                 C   sR   t tddgddggdd\}\}}ttt|dg t|td d S )Nr  r@   r   Zseparater   r?   )r"   r)   r   r   r)  r*  r   r   )rU   r  r  zr1   r1   r2   test_separate  s
   z TestMatrix_Balance.test_separatec                 C   s`   t tdttdtd}t|dd\}\}}t|t| t|tg d d S )N)r?   r?   r  r@   r-  )r   r@   r=   r   r<   rN   r?   )r!   r)   r
  r	  r"   r   Z	ones_liker   )rU   r   r_   r  r.  r1   r1   r2   test_permutation  s   z#TestMatrix_Balance.test_permutationc              	   C   s   t g dg dg dg dg dgt g dg dg dg dgt g d	g d
g dg dgf}|D ]:}t|\}}t|dd\}\}}t |}t |jd ||< t|t ||d d f  tt||	|| q7d S )N)rF   rF   rF   rF   >)rF   rF   rF   rF   rF   )rM   rM   rF   rF   rF   )rF   rF   r1  rF   rF   )r>  rF   rF   rF   )rF   rV  rF   rF   )r8   rF   r>  rF   )rF   r8   rF   rV  )r]  rF   r8   rF   )rV  rV         r8   )r]  r2  r2  rF   )rV  r2  r8   rV  r@   r-  r   )
r)   r   r"   r#  r   r   r   rj   r   r   )rU   casesr   r_   r  r  pipr1   r1   r2   test_perm_and_scaling  s2   



z(TestMatrix_Balance.test_perm_and_scalingN)
r~   r   r   r&  r(  r+  r,  r/  r0  r6  r1   r1   r1   r2   r%    s    r%  r  )Or  r0  r  numpyr)   r   r   r   r   r   r   r   r	   Znumpy.randomr
   Znumpy.testingr   r   r   r   r   r   r   r7  r   rt   Z
scipy._libr   Zscipy.linalgr   r   r   r   r   r   r   r   r   r   r   r   r    r!   r"   r#   r$   Zscipy.linalg._testutilsr&   Zscipy._lib._testutilsr'   Zscipy.linalg.blasr(   r+   r*   r  r/  r-   r,   r  ZDTYPESr3   r5   r   r   r;  rB  rK  r  r  r  r  r8  r  r  r  r  r  r  r%  r1   r1   r1   r2   <module>   sX    ($L
   =  M>+ 
	  &P?</U