o
    Eb                     @   sT  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 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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ZDejEFdG dd dZGejEFdG dd  d ZHejEFdejEId!d"ejEId#e e"e!fd$d% ZJG d&d' d'ZKG d(d) d)ZLG d*d+ d+ZMG d,d- d-ZNG d.d/ d/ZOdS )1    N)arangearraydotzerosidentity	conjugate	transposefloat32)random)assert_equalassert_almost_equalassert_assert_array_almost_equalassert_allcloseassert_array_equalsuppress_warnings)raises)solveinvdetlstsqpinvpinv2pinvhnormsolve_bandedsolveh_bandedsolve_triangularsolve_circulant	circulantLinAlgError
block_diagmatrix_balanceqrLinAlgWarningassert_no_overwrite)check_free_memory)	HAS_ILP64c                 C   s2   | }|t jkrt j}n|t jkrt j}t |jS )z;Get the epsilon for dtype, possibly downcast to BLAS types.)np
longdoublefloat64clongdouble
complex128finfoeps)ZdtypZdt r0   ?/usr/lib/python3/dist-packages/scipy/linalg/tests/test_basic.py	_eps_cast   s   

r2   c                   @   L   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dS )TestSolveBandedc                 C      t g dg dg dg dg}t g dg dg dg dg}d	\}}t g d
}|dd}t ddgddgddgddgg}t g dg dg dg dg}||||fD ]}	t||f||	}
tt||
|	 qVd S )N      ?   r   r         r         r8   r>   r                 r8   r<   r>   r?   r;   r8   rC   r:   r?   rB   r   r>   rA   r   r   r>   r?         $@rE          @g      ,@rA   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xr0   r0   r1   	test_real*   6   zTestSolveBanded.test_realc                 C   r5   )Nr6   r9   )               @r?   r8   ra   r@   rE   r8   r<   ra   rF   rG   )ra   rA   r   r   rI   rK   rE   rL   y              ,@rA   r?   r>   r:   r;   rM   rN   )r   r   r                 ?rP   rQ   rS   r0   r0   r1   test_complexB   r`   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 )NrD   rF   rG   r   r?   r>   rA   rJ   r:   r;   rM   rN   rO   rP   r?   r?   r   r)   diagrR   r   r   r   	rT   rV   rU   rY   rZ   r[   r\   r]   r^   r0   r0   r1   test_tridiag_realZ   .   2z!TestSolveBanded.test_tridiag_realc           	      C   rf   )Nrb   rF   rG   r   r?   r>   rA   rc   r:   r;   rM   rN   rO   rP   rg   rh   rj   r0   r0   r1   test_tridiag_complexn   rl   z$TestSolveBanded.test_tridiag_complexc                 C   s|   t g dg dg dg dg}t g dg dg dg dg}d	\}}t g d
}t||f||dd}tt||| d S )Nr6   r9   r=   r@   rD   rF   rG   rH   rI   rJ   Fcheck_finite)r   r   r   r   )rT   rU   rV   rW   rX   rY   r^   r0   r0   r1   test_check_finite   s   z!TestSolveBanded.test_check_finitec                 C   s   t g dg dg dg dg}d\}}t g ddd}ttt||f|| ttt||f|d	d
g tttd|d	d
g d S )NrD   rF   rG   rH   rI   )r7   rL         @      @rA   r;   r7   rL   rg   )r   rR   assert_raises
ValueErrorr   )rT   rV   rW   rX   Zbadr0   r0   r1   test_bad_shape   s   zTestSolveBanded.test_bad_shapec                 C   s\   t g dg}tddgdgdgg|}t|g dg t|jtd t|g dg d S )Nr7   rL   rq   rg   r   r>   )      ?r7   g      ?f8)r   r   r   r   dtyper)   )rT   r]   r^   r0   r0   r1   test_1x1   s
   zTestSolveBanded.test_1x1c                 C   sl   g dg dg dg dg}g dg dg dg dg}d	\}}g d
}t ||f||}tt||| d S )Nr6   r9   r=   r@   rD   rF   rG   rH   rI   rJ   )r   r   r   )rT   rU   rV   rW   rX   r]   r^   r0   r0   r1   test_native_list_arguments   s   z*TestSolveBanded.test_native_list_argumentsN)__name__
__module____qualname__r_   re   rk   rm   rp   ru   rz   r{   r0   r0   r0   r1   r4   (   s    r4   c                   @   s   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dd Zdd Zdd Zdd Zdd Zdd Zdd Zdd  Zd!d" Zd#d$ 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rE   rE   rL   rL   r7   r7   r7   rr   rr   rr   rr   r7   rr   r7   rL   rE   r7   rE   rE   r   r   r   rT   rV   r]   r^   r0   r0   r1   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   r7         @rr   rL   rE   r   rT   rV   r]   r^   expectedr0   r0   r1   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   rA   r?   r   r   rR   r   r   r   r0   r0   r1   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   r7   r7   r7   r   rL   rL   rE   rE   r   Tlowerr   r   r   r0   r0   r1   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   r7   r   rr   rL   Tr   rE   r   r   r0   r0   r1   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   ry   r   r   r   r	   r   r   r   r0   r0   r1   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   r7   r   rr   rL   rE   r   r   r0   r0   r1   test_02_float32  s(   
z TestSolveHBanded.test_02_float32c                 C   r   )Nr   r                r   r   r   )       @            @            @      ?       @      ?)rE   r7   r7   rE   r   r   r0   r0   r1   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   rd   rE   r7   r   r   r0   r0   r1   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   r7   r7   rr   rr   rr   r7   rr   r7   rE   r7   rE   r   r   r0   r0   r1   test_tridiag_01_upperO     
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   r7   rr   rL   rE   r   r   r0   r0   r1   test_tridiag_02_upperZ     
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   rA   r?   r   r   r   r0   r0   r1   test_tridiag_03_upperk  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   r7   r7   r   r   Tr   r   r   r   r0   r0   r1   test_tridiag_01_lowerv  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   r7   rr   rL   Tr   rE   r   r   r0   r0   r1   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   r0   r0   r1   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   r7   rr   rL   rE   r   r   r0   r0   r1   test_tridiag_02_float32  s"   
z(TestSolveHBanded.test_tridiag_02_float32c                 C   r   )Nr   r   r   r   )r   r   r   )rE   r7   r7   r   r   r0   r0   r1   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   rr   rE   rd   r7   r   r   r0   r0   r1   test_tridiag_02_complex  r   z(TestSolveHBanded.test_tridiag_02_complexc                 C   r   )Nr   r   r   Frn   r   r   r   r0   r0   r1   rp     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   r7   rr   rL   )r   rs   rt   r   )rT   rV   r]   r0   r0   r1   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>   rM   rv   rx   )r   r   r   ry   r)   )rT   r^   r0   r0   r1   rz     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   r0   r0   r1   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   rp   r   rz   r{   r0   r0   r0   r1   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rT   r0   r0   r1   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?   r7   r                   333333?r   r   r   )rT   rU   Zx0r]   r0   r0   r1   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?   r8   r:   r;   r   r>   r   rT   rU   r]   r^   r0   r0   r1   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>   ra   r;   Drd   r   r?   r   )r   r   r   r   r   r0   r0   r1   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>   rM   r   r   r?   r?   r   posassume_ar   r   rT   rU   r   r]   r^   r0   r0   r1   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;   rd   r   r   r   r   r   r0   r0   r1   test_simple_pos_complexb     z"TestSolve.test_simple_pos_complexbc                 C   r   )	Nr>   rM   r   r?   r   symr   r   r   r0   r0   r1   test_simple_sym!  r   zTestSolve.test_simple_symc                 C   r   )Nr   r>   rd   r   r   r   r   r   r0   r0   r1   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   rd   r   r?   r>   r   r   r   r   r0   r0   r1   test_simple_sym_complex2     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>   rM   r   r   r?   r   rd   herr   r   r   r0   r0   r1   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   rd   r   r?   r>   r   r   r   r   r0   r0   r1   test_simple_herE  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>   rd   r   r   r   )r
   r   r   r   r   r   r   )rT   nAXZAinvRirr0   r0   r1   test_nils_20Feb04N  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 )Nr8   皙?r;   rM   r
   ranger   r   r   rT   r   rU   r   r]   r^   r0   r0   r1   test_randomY  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 )Nr8   rd   r   r>   rM   r   r   r0   r0   r1   test_random_complexd  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 )Nr8   r   r;   r?   Zsym_pos)r
   r   absr   r   r   rT   r   rU   r   jr]   r^   r0   r0   r1   test_random_symn  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 )Nr8   rd   r   ra   r>   r?   r   )r
   r   r   r   r   r   r   r   r0   r0   r1   test_random_sym_complexz  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?   r8   r:   r;   r   r>   Frn   r   r   r0   r0   r1   rp     s   zTestSolve.test_check_finitec                 C   s8   d}g d}t ||}t| | t|jdkd d S )Nr?   r   rM   z'Scalar_a_1D_b test returned wrong shape)r   r   Zravelr   shaper   r0   r0   r1   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=
)r7   rA   rM   r   )rM   r>   r;   r?   )r)   r   r   r   Tr   r0   r0   r1   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   r0   r0   r1   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      ?      y      @      r   r   Tr   )r)   r   r   r   conjr   )rT   rU   r]   resr^   r0   r0   r1   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?   
   rM   	   r   r   )g      "@r   r7   r   r)   r   rR   r   trilonesr   rT   r   r^   r0   r0   r1   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   rs   r    r   rT   rU   r]   r0   r0   r1   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?   r7   g?r>   error)	r)   r   r  warningscatch_warningssimplefilterrs   r$   r   r
  r0   r0   r1   test_ill_condition_warning  s   


"z$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   r0   r0   r1   test_empty_rhs  s
   

zTestSolve.test_empty_rhsc                 C   s2   t d}t jddd}t||}t|| d S )Nr>   rM   r;   )r)   r  r
   randr   r   r   r0   r0   r1   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  rM   r?   T
transposed)r   g?r?   F)r  gg333333r  r  r0   r0   r1   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 )NrM   Tr  )r)   r  astypecomplexrs   NotImplementedErrorr   rT   rU   r0   r0   r1   test_transposed_notimplemented  s   
"z(TestSolve.test_transposed_notimplementedc                 C   s   t ttddgd d S )Nr?   r>   rs   rt   r   r   r0   r0   r1   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 )NrM   r;   )r   r   r)   r  r  rs   rt   r   r0   r0   r1   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   r0   r0   r1   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: {}rd   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   )rT   ZsizesZ	assume_asZdtypesr  r   ry   Z
is_complexr+  rU   r]   tolr^   r0   r0   r1   '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   rp   r   r   r   r  r	  r  r  r  r  r  r  r  r!  r"  pytestmarkskipr2  r0   r0   r0   r1   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   Frw   r   Ztransr7         N)r   r   r   r   r   rT   r   r]   Zsolr0   r0   r1   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   rd   r>   Tr?   r9  y      ?      y      п      пrw         ?       @y             y      ?      ?y      ?      y            пFr:  N)r   r   r   r   r)   ri   r   r;  r0   r0   r1   r   P  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 )r8  r?   r   r>   TF)r   ro   N)r   r   r   r;  r0   r0   r1   rp   m  s   z%TestSolveTriangular.test_check_finiteN)r|   r}   r~   r   r   rp   r0   r0   r0   r1   r7  9  s    r7  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   r0   r0   r1   r   x  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>   rM   r;   r   r;   r   r<   rB      r  )r   r   r   r)   r  rT   rU   a_invr0   r0   r1   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 )Nr8   r;   r   r   r
   r   r   r   r   rT   r   r   rU   rC  r0   r0   r1   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>   rM   r   r   r   r   r   rB  r0   r0   r1   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 )Nr8   r;   ra   r   rD  rE  r0   r0   r1   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>   rM   r;   Frn   r   rF  rB  r0   r0   r1   rp     s    zTestInv.test_check_finiteN)	r|   r}   r~   r   r   r   r   r   rp   r0   r0   r0   r1   r>  w  s    

r>  c                   @   r=  )TestDetc                 C   r   r   r   r   r0   r0   r1   r     r   zTestDet.setup_methodc                 C   &   ddgddgg}t |}t|d d S )Nr?   r>   rM   r;          r   r   rT   rU   Za_detr0   r0   r1   r        zTestDet.test_simplec                 C   rH  )Nr?   r>   rM   r   y            @rJ  rK  r0   r0   r1   r     rL  zTestDet.test_simple_complexc                 C   sB   t j}d}tdD ]}t||g}t|}||}t|| q	d S )Nr8   r;   )linalgr   r   r
   r   rT   Z	basic_detr   r   rU   Zd1Zd2r0   r0   r1   r     s   zTestDet.test_randomc                 C   sV   t j}d}tdD ]}t||gdt||g  }t|}||}t||dd q	d S )Nr8   r;   ra   gvIh%<=r*  )rM  r   r   r
   r   rN  r0   r0   r1   r     s   zTestDet.test_random_complexc                 C   s*   ddgddgg}t |dd}t|d d S )Nr?   r>   rM   r;   Frn   rI  rJ  rK  r0   r0   r1   rp     s   zTestDet.test_check_finiteN)	r|   r}   r~   r   r   r   r   r   rp   r0   r0   r0   r1   rG    s    		rG  c                 C   s2   t | }|r
t|}t|| }t||}t||S )N)r   r   r   r   )rU   r]   cmplxata1b1r0   r0   r1   direct_lstsq  s   


rT  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   r0   r0   r1   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?   r8   r:   r;   r   TF)r?   r   r   rY  )rI   r:   r;   lapack_driveroverwrite_aoverwrite_br   r>   !expected efficient rank 2, got %s   
driver: %sr(  )REAL_DTYPESr)   r   rU  lapack_driverscopyr   r   r   r   r2   ry   )rT   ry   rU   r\  	overwritebtrR  r]   rS  outr^   r   r0   r0   r1   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   rM   r   r   rW  r[  r   rV  r_  axisr`  ra  r*  r)  r+  )gm۶mۿgm۶m?)rb  r)   r   rU  rc  rd  r   sumr   r   r   r   r2   ry   )rT   ry   rU   r]   r\  re  rR  rS  rg  r^   	residualsr   r0   r0   r1   test_simple_overdet  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   rM   r   )r?   r   rM   rW  r[  r   rV  r?   r_  ri  r`  ra  rk  )yu{޿E(B?yӽu{?(YJV?)COMPLEX_DTYPESr)   r   rU  rc  rd  r   r   rl  r   r   r   r   r2   ry   )rT   ry   rU   r]   r\  re  rR  rS  rg  r^   r  rm  r   r0   r0   r1   test_simple_overdet_complex  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   r?  r   r?   r>   rW  r[  r   r_  )gqqgqq?gdq?r`  ra  rk  )rb  r)   r   rU  rc  rd  r   r   r   r2   ry   )rT   ry   rU   r]   r\  re  rR  rS  rg  r^   r   r0   r0   r1   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||f  |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r8      rW  r   r8   r   r;   rM   r[  r   r>   "expected efficient rank %s, got %si  ra  rk    )rb  rU  rc  r)   asarrayr
   r   rd  r   r   r	   r   r   r2   ry   rT   ry   r   r\  re  rU   r   r]   rR  rS  rg  r^   r   r0   r0   r1   test_random_exactE  sN   




zTestLstsq.test_random_exactc                 C   sV  t D ]}dD ]}tjD ]}dD ]}tjt||gd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||f  |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 )Nrr  rW  rd   r   r8   r   r>   rM   r[  r   rt  i  ra  rk  ru  )ro  rU  rc  r)   rv  r
   r   rd  r   r   r,  r   r   r2   ry   rw  r0   r0   r1   test_random_complex_exactg  sP   




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||f  t
|t||d	ddt|	j dt|	j d| d q7qqqqd S )N)r8      )rs  r>   rW  r   r8   r   r;   rM   r[  r   r>   rt  rP  r`  ra  rk  )rb  rU  rc  r)   rv  r
   r   rd  r   r   r   rT  r2   ry   rT   ry   r   mr\  re  rU   r   r]   rR  rS  rg  r^   r   r0   r0   r1   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||f  t
|t||dddt|	j dt|	j d| d q?qqqqd S )Nrz  rW  rd   r   r8   r   r>   rM   r[  r   rt  r?   r|  r`  ra  rk  )ro  rU  rc  r)   rv  r
   r   rd  r   r   r   rT  r2   ry   r}  r0   r0   r1   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?   r8   rZ  rX  rW  r   )r\  ro   r]  r^  r   r>   r_  r`  ra  rk  )r   filterRuntimeWarningr)   r   r-  r.  rb  rU  rc  r  rd  r   r   r   r   r2   ry   )rT   suprQ  ry   rf  r\  re  ro   rU   r]   rR  rS  rg  r^   r   r0   r0   r1   rp     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   ri  r>   zexpected rank 0)	r)   r  r   r   r   emptyrM  r   r   )	rT   Za_shapeZb_shaper]   r^   ZresiduesZranksZresidues_should_ber0   r0   r1   test_zero_size  s   
"
zTestLstsq.test_zero_sizeN)r|   r}   r~   rc  r   rh  rn  rp  rq  rx  ry  r  r  rp   r  r0   r0   r0   r1   rU    s    !"" rU  ignore::DeprecationWarningc                   @   sT   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   r0   r0   r1   r     r   zTestPinv.setup_methodc                 C   s^   t g dg dg dgtd}t|}tt||td t|}tt||td d S Nr   r?  r@  r   rM   r   floatr   r   r   r)   r  r   rT   rU   a_pinvr0   r0   r1   test_simple_real  s
   zTestPinv.test_simple_realc                 C   s   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	 t|}tt||td	 d S 
Nr   r?  r@  r   rd   )r  rA  rB   )r<   r   r;   )rM   r>   r?   rM   r  r  r0   r0   r1   r     s   zTestPinv.test_simple_complexc                 C   s<   t g dg dg dgtd}t|}t|}t|| d S )Nr   r?  rB   rA  r  r   r   r  r   r   r   rT   rU   r  Za_pinv2r0   r0   r1   test_simple_singular     zTestPinv.test_simple_singularc                 C   s6   t g dg dgtd}t|}t|}t|| d S )Nr   r?  r   r  r  r0   r0   r1   test_simple_cols  s   zTestPinv.test_simple_colsc                 C   s<   t ddgddgddggtd}t|}t|}t|| d S )Nr?   r>   rM   r;   r   r<   r   r  r  r0   r0   r1   test_simple_rows  r  zTestPinv.test_simple_rowsc                 C   sb   t g dg dg dg}t|dd}tt||td t|dd}tt||td d S )Nr   )r;   r   r   r@  Frn   rM   )r   r   r   r   r)   r  r   r  r0   r0   r1   rp     s
   zTestPinv.test_check_finitec                 C   s4   g dg dg dg}t |}t|}t|| d S )Nr   r?  r  )r   r   r   r  r0   r0   r1   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@rB   r   gMbP?)r   r   h㈵>g?rE   r)  r*  gMb@?r)  gvIh%,=g;O@{Gz?rO  )r#   r)   r
   r  r   rR   rd  r   r   rM  r   )rT   r   q_a_mrU   r)  r*  a_padiff1adiff2r0   r0   r1   test_atol_rtol$  s"   zTestPinv.test_atol_rtolN)r|   r}   r~   r   r  r   r  r  r  rp   r  r  r0   r0   r0   r1   r    s    	r  c                   @   r=  )TestPinvSymmetricc                 C   r   r   r   r   r0   r0   r1   r   C  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  r0   r0   r1   r  F  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   r?  r  r   r   rA   )
r   r  r)   r   r   rM  Zsvdr   r   r   )rT   rU   rX   r  Zvtr  Za_pinvhr0   r0   r1   test_nonpositiveL  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  r0   r0   r1   r   V  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  r0   r0   r1   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;   rM   r>   r?   vk?gﭣ>gu>r<   )r;   rM   r>   r?   r  rE   rE   r  g1?r  r   rO  r'  gdy=r  -C6?)	r#   r)   r
   r  ri   r   r   r   r   )rT   r   r  r  rU   r  r)  r*  r  r  r  r0   r0   r1   r  d  s$   z TestPinvSymmetric.test_atol_rtolN)	r|   r}   r~   r   r  r  r   r  r  r0   r0   r0   r1   r  @  s    
r  scale)g#B;r7   @xDpinv_c                 C   sD   t ddgddgg|  }t dt | }||}t|| d S )Nr?   r   g|=r7   )r)   r   ri   r   )r  r  r^   r   Zx_invr0   r0   r1   test_auto_rcond  s   r  c                   @   sV   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Ze	j
je dddd ZdS )TestVectorNormsc                 C   s   t jd D ]0}t jg d|d}tdt |jjd }tt|t 	d|d tt|dt 	d|d qt jd	 D ]0}t jg d
|d}tdt |jjd }tt|t 	d|d tt|dt 	d|d q;d S )NZAllFloatr   r   gV瞯<r8   rC   rO  r>   ZComplex)rd   ra   y              @)
r)   Z	typecodesr   maxr.   r/   realr   r   Zsqrt)rT   ry   r^   r1  r0   r0   r1   
test_types  s   zTestVectorNorms.test_typesc                 C   s    t dgtd}tt|| d S )Nr  r   )r   r	   r   r   r  r0   r0   r1   test_overflow  s   zTestVectorNorms.test_overflowc                 C   sd   t dgdgd  td}ztt|d ddd W d S  ty1   d}tt|d d	|d
 Y d S w )N     @r?   i'  r   rw   r  r  zO: Result should equal either 0.0 or 0.5 (depending on implementation of snrm2).rE   )r+  )r   r	   r   r   AssertionErrorr   )rT   rU   msgr0   r0   r1   test_stable  s   zTestVectorNorms.test_stablec                 C   s,   t tg ddd t tg ddd d S )N)r?   r   rM   r   r>   r   rM   )r   r   r   r0   r0   r1   test_zero_norm  s   zTestVectorNorms.test_zero_normc                 C   s^   t ddgddgggd d}tt|ddddggd  tt|dddd	gd gd  d S )
Nr>   r?   rM   r;   dri  5D+@6f~@g      @)r)   r   r   r   r  r0   r0   r1   test_axis_kwd  s   $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?   rM   r;   r  T)rj  keepdimsr  r  )r>   r?   r>   rq   g      @)r)   r   r   r   r   r   r
  r0   r0   r1   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?   rA   r7   )r'   r)   r   r+   r   r   )rT   r^   r  r0   r0   r1   test_large_vector  s   
z!TestVectorNorms.test_large_vectorN)r|   r}   r~   r  r  r  r  r  r  r3  r4  Zskipifr(   r  r0   r0   r0   r1   r    s    r  c                   @   r6  )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   )rg   )r?   rM   )rM   r?   )r;   r;   )r;   r   )r   r;   r  y              $@Zfror?   rA   r>   )ord)r)   r
   r   ZsingleZdoubleZcsingleZcdoubleZint64r0  r  Z
issubdtypery   Zcomplexfloatinginfr   rM  Zallcloser   )	rT   r   r~  tr   Zt_highZorderZactualZdesiredr0   r0   r1   test_matrix_norms  s$   
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?   rM   r;   r  rY  )r  rj  r   r   )r)   r   r   r  swapaxesr   r   r   )rT   rU   r]   cr  r0   r0   r1   r    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   r  r   r>   rM   r;   r   rY  T)r  rj  r  r?   r   )r)   r   rR   r   r  r   r   r   )rT   rU   r]   r  r0   r0   r1   r    s
   
z!TestMatrixNorms.test_keepdims_kwdN)r|   r}   r~   r  r  r  r0   r0   r0   r1   r    s    r  c                   @   sh   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
ejddd Zdd ZdS )TestOverwritec                 C      t tddg d S NrM   rM   r   )r&   r   r   r0   r0   r1   
test_solve     zTestOverwrite.test_solvec                 C   r  r  )r&   r   r   r0   r0   r1   test_solve_triangular  r  z#TestOverwrite.test_solve_triangularc                 C   s   t dd ddg d S )Nc                 S   s   t d| |S )NrI   )r   )rV   r]   r0   r0   r1   <lambda>  s    z1TestOverwrite.test_solve_banded.<locals>.<lambda>)r;   r<   r<   r%   r   r0   r0   r1   test_solve_banded  s   zTestOverwrite.test_solve_bandedc                 C   r  )N)r>   r<   r  )r&   r   r   r0   r0   r1   test_solveh_banded   r  z TestOverwrite.test_solveh_bandedc                 C      t tdg d S Nr  )r&   r   r   r0   r0   r1   test_inv  r   zTestOverwrite.test_invc                 C   r  r  )r&   r   r   r0   r0   r1   test_det  r   zTestOverwrite.test_detc                 C   r  )N)rM   r>   r   )r&   r   r   r0   r0   r1   
test_lstsq	  r  zTestOverwrite.test_lstsqc                 C   r  r  )r&   r   r   r0   r0   r1   	test_pinv  r   zTestOverwrite.test_pinvr  c                 C   r  r  )r&   r   r   r0   r0   r1   
test_pinv2  s   zTestOverwrite.test_pinv2c                 C   r  r  )r&   r   r   r0   r0   r1   
test_pinvh  r   zTestOverwrite.test_pinvhN)r|   r}   r~   r  r  r  r  r  r  r  r  r3  r4  filterwarningsr  r  r0   r0   r0   r1   r    s    

r  c                   @   r3   )TestSolveCirculantc                 C   sB   t g d}t g d}t||}tt||}t|| d S N)r?   r>   rM   r   )r?   rA   r?   r   )r)   r   r   r   r   r   rT   r  r]   r^   yr0   r0   r1   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;   rM   r)   r   r   rR   r   r   r   r   r  r0   r0   r1   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;   rM   r>   r  r  r0   r0   r1   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   rA  r;   r>   y              ?r  r  r0   r0   r1   re   0  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   r0  r   r   r   r   r  r0   r0   r1   test_random_b_and_c8  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>   rM   r;   r   )Zsingular)r)   r   r   r   r   r   rs   r    )rT   r  r]   r^   r  r  Zrnkr  r0   r0   r1   test_singularA  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)rA   g      @rM   g      @)r?   r<   r<   g      @)r   r   r?   r?   r  )r?   rA   r   r   r?   )baxis)r;   r>   rM   r   rA   )r  Zoutaxis)r>   rM   r;   r>   )Zcaxis)r)   r   r   r   r   
empty_liker   r   r   r   Zmoveaxisr  )rT   r  r]   r^   r   r0   r0   r1   test_axis_argsJ  s   
&&
z!TestSolveCirculant.test_axis_argsc                 C   s6   g d}g d}t ||}tt||}t|| d S r  )r   r   r   r   r  r0   r0   r1   r{   c  s
   
z-TestSolveCirculant.test_native_list_argumentsN)r|   r}   r~   r  r  r  re   r  r  r  r{   r0   r0   r0   r1   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)rs   rt   r"   r   r0   r0   r1   test_string_argn  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>   rM   )rs   rt   r"   r)   r   r  nanr   r0   r0   r1   test_infnan_argq  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 )Nru  r?   r   r   )r"   r)   r   r   difflog2ri   )rT   r  r  r0   r0   r1   test_scalingw  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   )rT   r   r^   r  r0   r0   r1   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 )Nru  r?   r   Zseparater   r>   )r"   r)   r   r   r  r  r   r   )rT   r  r  zr0   r0   r1   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;   rM   r>   )r!   r)   r  r  r"   r   Z	ones_liker   )rT   r   r^   r  r  r0   r0   r1   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)rE   rE   rE   rE   >)rE   rE   rE   rE   rE   )rL   rL   rE   rE   rE   )rE   rE   r  rE   rE   )r:  rE   rE   rE   )rE         rE   rE   )r7   rE   r:  rE   )rE   r7   rE   r  )      rE   r7   rE   )r  r         r7   )r  r  r  rE   )r  r  r7   r  r?   r  r   )
r)   r   r"   r  r   r   r   ri   r   r   )rT   casesr   r^   r  r  pZipr0   r0   r1   test_perm_and_scaling  s2   



z(TestMatrix_Balance.test_perm_and_scalingN)
r|   r}   r~   r  r  r  r  r  r  r  r0   r0   r0   r1   r  l  s    r  r  )Pr-  r  Znumpyr)   r   r   r   r   r   r   r   r	   Znumpy.linalgrM  Znumpy.randomr
   Znumpy.testingr   r   r   r   r   r   r   r3  r   rs   Zscipy.linalgr   r   r   r   r   r   r   r   r   r   r   r   r   r    r!   r"   r#   r$   Zscipy.linalg._testutilsr&   Zscipy._lib._testutilsr'   Zscipy.linalg.blasr(   r+   r*   rb  r,  r-   r,   ro  ZDTYPESr2   r4   r   r   r7  r>  rG  rT  rU  r4  r  r  r  Zparametrizer  r  r  r  r  r  r0   r0   r0   r1   <module>   sZ    ($P
   =  M>+
&	  
!
O
?</"U