
    ge                        d dl Z d dlZd dlmZ d dlmZ d dlmZ d dl	m
Z
mZ d dlmZmZ ej        ej        fZej        ej        fZeez   Ze j                            de          e j                            dg d	          e j                            d
ddg          d                                     Zd Zd Zd Zd Zd Zd Zd Ze j                            de          d             Z dS )    N)seed)assert_allclose)_compute_lwork)ortho_groupunitary_group)cossinget_lapack_funcsdtype_zm, p, q)
)      r   )   r   r   )r   r   r   )   r   r   )r   r   r   )(         )r      r   )r   r   r   )d   2   r   )r   r   r   	swap_signTFc           	         t          d           | t          v r)t          j        t	          j        |          |           }n(t          j        t          j        |          |           }t          ||||          \  }}}t          |||z  |z  d|dz  t          j	        |           j
        z             |j        | k    sJ |j        t          j        |          j        k    sJ |j        | k    sJ t          |d |d |f         |d ||d f         ||d d |f         ||d |d f         g|          \  }}}t          |||z  |z  d|dz  t          j	        |           j
        z             |j        | k    sJ |j        t          j        |          j        k    sJ |j        | k    sJ t          |||d|          \  }	}
}t          ||
dd	t          j	        |           j
        z             t          ||dd	t          j	        |           j
        z             t          |||d|
          \  }}
}	t          ||dd	t          j	        |           j
        z             t          ||
dd	t          j	        |           j
        z             t          |||dd|          \  }	}
}	t          ||
dd	t          j	        |           j
        z             d S )N  dtype)r           g     @@rtolatolF)	compute_ur   
   )
compute_vhr   )r   r    r   )r   COMPLEX_DTYPESnparrayr   rvsr   r   r   finfoepsr   real)r
   mpqr   xucsvh_cs2vh2u2s                Elib/python3.11/site-packages/scipy/linalg/tests/test_decomp_cossin.pytest_cossinr4      s$     	JJJH]&q))888H[_Q''v666q!Q!*, , ,IAr2Aq2v{!C%8H8H8L2LMMMM7f8rwqzz'''''8v"1"bqb&	1RaRV9aBQBi122qrr6C!*, , ,IAr2Aq2v{!C%8H8H8L2LMMMM7f8rwqzz'''''8vAq#(#,. . .KAsC B"2bhv.>.>.B+BCCCCB"2bhv.>.>.B+BCCCC1a#("+- - -JBQ ArBHV,<,<,@)@AAAAB"2bhv.>.>.B+BCCCCq!Q!&"'!*, , ,IAsA B"2bhv.>.>.B+BCCCCCC    c            	      V   t          d           t          j        t          j        d          t          j                  } t          | d dd df         t          j        | d ddd f         t          j                  | dd d df         | dd dd f         g          \  }}}|j        t          j        k    sJ |j        t          j        k    sJ |j        t          j        k    sJ t          | ||z  |z  ddt          j
        t          j                  j        z             d S )Nr   r   r   r   r   g     @r   )r   r"   r#   r   r$   float64r   
complex128r   r   r%   r&   )r+   r,   r-   r.   s       r3   test_cossin_mixed_typesr9   G   s*   JJJ
##2:666A"1"bqb&	2A2qrr6"-@@@!""bqb&	!""abb&	# $ $IAr2
 7bm####8rz!!!!8r}$$$$Aq2v{rx66::< < < < < <r5   c                      t          j        t          d          5  t          ddgg dddgg df           d d d            d S # 1 swxY w Y   d S )	Nz!be due to missing p, q arguments.matchr   r   r   r               	   r   pytestraises
ValueErrorr    r5   r3   %test_cossin_error_incorrect_subblocksrI   V   s    	z)L	M	M	M 8 8A			Aq6:::67778 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8s   AA	A	c                  Z   t          j        t          d          5  t          g g g g f           d d d            n# 1 swxY w Y   t          j        t          d          5  t          ddgg ddgg df           d d d            n# 1 swxY w Y   t          j        t          d	          5  t          ddgg d
g g df           d d d            n# 1 swxY w Y   t          j        t          d          5  t          ddgg d
dgg f           d d d            d S # 1 swxY w Y   d S )Nz
x11.*emptyr;   z
x12.*emptyr   r   r?   r@   rA   z
x21.*emptyr=   z
x22.*emptyrD   rH   r5   r3   !test_cossin_error_empty_subblocksrK   [   s7   	z	6	6	6 ! !BB   ! ! ! ! ! ! ! ! ! ! ! ! ! ! !	z	6	6	6 1 1AQFJJJ/0001 1 1 1 1 1 1 1 1 1 1 1 1 1 1	z	6	6	6 4 4A			2zzz23334 4 4 4 4 4 4 4 4 4 4 4 4 4 4	z	6	6	6 - -A			A3+,,,- - - - - - - - - - - - - - - - - -sE   <A A "BBB.CCC:D  D$'D$c                  X   t          j        t          d          5  t          t	          j        d                     d d d            n# 1 swxY w Y   t          j        t          d          5  t          t	          j        d                     d d d            d S # 1 swxY w Y   d S )Nz.*exactly four arrays.* got 2r;   r   z.*might be due to missing p, qr   )rE   rF   rG   r   r   r$   rH   r5   r3   &test_cossin_error_missing_partitioningrM   f   s   	z)H	I	I	I % %} ##$$$% % % % % % % % % % % % % % % 
z)I	J	J	J % %} ##$$$% % % % % % % % % % % % % % % % % %s#   "A

AA0"BB#&B#c                      t          j        t          d          5  t          d           d d d            d S # 1 swxY w Y   d S )Nzcontaining the subblocks of Xr;   y              (@rD   rH   r5   r3   test_cossin_error_non_iterablerO   n   s    	z)H	I	I	I  s                 s   9= =c                      t          j        t          d          5  t          t	          j        ddgg          dd           d d d            d S # 1 swxY w Y   d S )Nzonly supports squarer;   r   r   )rE   rF   rG   r   r"   r#   rH   r5   r3   test_cossin_error_non_squarerQ   s   s    	z)?	@	@	@ ) )rx!Q!!1a((() ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )s   'AAAc                     t          j        t          j        d          t           j                  } t          j        t          d          5  t          | dd           d d d            n# 1 swxY w Y   t          j        t          d          5  t          | dd           d d d            n# 1 swxY w Y   t          j        t          d          5  t          | dd	           d d d            n# 1 swxY w Y   t          j        t          d
          5  t          | dd           d d d            d S # 1 swxY w Y   d S )Nr   r   zinvalid p=0.*0<p<4.*r;   r   r   zinvalid p=4.*0<p<4.*zinvalid q=-2.*0<q<4.*zinvalid q=5.*0<q<4.*r>   )	r"   r#   r   r$   r7   rE   rF   rG   r   )r+   s    r3   test_cossin_error_partitioningrT   w   s   
##2:666A	z)?	@	@	@  q!Q              	z)?	@	@	@  q!Q              	z)@	A	A	A  q!R              	z)?	@	@	@  q!Q                 sH   A,,A03A0B00B47B4C44C8;C8D99D= D=c           	         t          d           d\  }}}| t          v rdnd}|dk    rt          j        |          nt	          j        |          }t          j        ||           }t          |dz   |dz   f|g          \  }}t          ||||          }|dk    rd|int          t          dd	g|                    }	 ||d |d |f         |d ||d f         ||d d |f         ||d |d f         fi |	^ }
}}}}}}
t          |||d
          \  \  }}}\  }}t          ||ddt          j        |           j        z             t          ||ddt          j        |           j        z             t          ||ddt          j        |           j        z             t          ||ddt          j        |           j        z             t          ||ddt          j        |           j        z             d S )Nr   )   P      orunr   csd	csd_lworklworklrworkT)separater   r   r   )r   REAL_DTYPESr   r$   r   r"   r#   r	   r   dictzipr   r   r%   r&   )r
   r(   r)   r*   pfxXdrvdlwlwvallwvalsr/   thetau1r2   v1tv2tu1_2u2_2theta2v1t_2v2t_2s                        r3   test_cossin_separaterr      sE   JJJGAq!K''$$TC!Tkk}/@/C/CA
&!!!AucK.? @!EEHC31a((E!$gu$sG<D<F;@8B 8B 3C 3CF
 	Abqb"1"fIq!QRRy!ABBF)Qqrr122vYAA&AA #Qr2sC ,2!QD+I+I+I(LT4&.5%D"2Brx/?/?/C,CDDDDD"2Brx/?/?/C,CDDDDE3Rb&1A1A1E.EFFFFE3Rb&1A1A1E.EFFFFFEBHV4D4D4H1HIIIIIIr5   )!rE   numpyr"   numpy.randomr   numpy.testingr   scipy.linalg.lapackr   scipy.statsr   r   scipy.linalgr   r	   float32r7   r`   	complex64r8   r!   DTYPESmarkparametrizer4   r9   rI   rK   rM   rO   rQ   rT   rr   rH   r5   r3   <module>r~      s              ) ) ) ) ) ) . . . . . . 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1z2:&,.	~	% 6**    tUm44&D &D 54  +*&DR< < <8 8 8
- - -% % %  
) ) )	 	 	 6**J J +*J J Jr5   