
    xf                        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,                  j/                  de      e j,                  j/                  dg d	      e j,                  j/                  d
ddg      d                      Zd Zd Zd Zd Zd Zd Zd Ze j,                  j/                  de      d        Z y)    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         y )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                G/usr/lib/python3/dist-packages/scipy/linalg/tests/test_decomp_cossin.pytest_cossinr4      s     	JHH]&&q)8HH[__Q'v6q!Q!*,IAr2Aq2v{!C%8H8L8L2LM77f88rwwqz'''''88v"1"bqb&	1RaRV9aBQBi12qr6C!*,IAr2Aq2v{!C%8H8L8L2LM77f88rwwqz'''''88vAq#(#,.KAsC B"2bhhv.>.B.B+BCB"2bhhv.>.B.B+BC1a#("+-JBQ ArBHHV,<,@,@)@AB"2bhhv.>.B.B+BCq!Q!&"'!*,IAsA B"2bhhv.>.B.B+BC    c            	      ~   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         y )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   J
#2::6A"1"bqb&	2A2qr6"--@!"bqb&	!"ab&	# $IAr2
 77bmm###88rzz!!!88r}}$$$Aq2v{rxx6:::<r5   c                      t        j                  t        d      5  t        ddgg dddgg df       d d d        y # 1 sw Y   y xY w)	Nz!be due to missing p, q arguments.matchr   r   r   r               	   r   pytestraises
ValueErrorr    r5   r3   %test_cossin_error_incorrect_subblocksrI   V   s?    	z)L	M 8A	Aq6:678 8 8s	   =Ac                     t        j                  t        d      5  t        g g g g f       d d d        t        j                  t        d      5  t        ddgg ddgg df       d d d        t        j                  t        d	      5  t        ddgg d
g g df       d d d        t        j                  t        d      5  t        ddgg d
dgg f       d d d        y # 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   ZxY w# 1 sw Y   y xY w)Nz
x11.*emptyr;   z
x12.*emptyr   r   r?   r@   rA   z
x21.*emptyr=   z
x22.*emptyrD   rH   r5   r3   !test_cossin_error_empty_subblocksrK   [   s    	z	6 !BB !	z	6 1AQFJ/01	z	6 4A	2z234	z	6 -A	A3+,- -! !1 14 4- -s/   CC+C7DC(+C47D Dc                  <   t        j                  t        d      5  t        t	        j
                  d             d d d        t        j                  t        d      5  t        t	        j
                  d             d d d        y # 1 sw Y   LxY w# 1 sw Y   y xY w)Nz.*exactly four arrays.* got 2r;   r   z.*might be due to missing p, qr   )rE   rF   rG   r   r   r$   rH   r5   r3   &test_cossin_error_missing_partitioningrM   f   sw    	z)H	I %}  #$% 
z)I	J %}  #$% %% %% %s   BBBBc                  z    t        j                  t        d      5  t        d       d d d        y # 1 sw Y   y xY w)Nzcontaining the subblocks of Xr;   y              (@rD   rH   r5   r3   test_cossin_error_non_iterablerO   n   s-    	z)H	I s  s   1:c                      t        j                  t        d      5  t        t	        j
                  ddgg      dd       d d d        y # 1 sw Y   y xY w)Nzonly supports squarer;   r   r   )rE   rF   rG   r   r"   r#   rH   r5   r3   test_cossin_error_non_squarerQ   s   sA    	z)?	@ )rxx!Q!1a() ) )s   $A		Ac                  \   t        j                  t        j                  d      t         j                        } t        j                  t        d      5  t        | dd       d d d        t        j                  t        d      5  t        | dd       d d d        t        j                  t        d      5  t        | dd	       d d d        t        j                  t        d
      5  t        | dd       d d d        y # 1 sw Y   xY w# 1 sw Y   xxY w# 1 sw Y   SxY w# 1 sw Y   y xY w)Nr   r   zinvalid p=0.*0<p<4.*r;   r   r   zinvalid p=4.*0<p<4.*zinvalid q=-2.*0<q<4.*zinvalid q=5.*0<q<4.*r>   )	r"   r#   r   r$   r7   rE   rF   rG   r   )r+   s    r3   test_cossin_error_partitioningrT   w   s    
#2::6A	z)?	@ q!Q	z)?	@ q!Q	z)@	A q!R	z)?	@ q!Q     s0   C>D
6D'D">D
D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         y )Nr   )   P      orunr   csd	csd_lworklworklrworkT)separater   r   r   )r   REAL_DTYPESr   r$   r   r"   r#   r	   r   dictzipr   r   r%   r&   )r
   r(   r)   r*   pfxXdrvdlwlwvallwvalsr/   thetau1r2   v1tv2tu1_2u2_2theta2v1t_2v2t_2s                        r3   test_cossin_separaterr      s   JGAq!K'$TC!Tk}/@/@/CA
&!AucK.? @!EHC31a(E!$gu$sG<D<F;@8B 3CF
 	Abqb"1"fIq!QRy!ABF)Qqr12vYA&A #Qr2sC ,2!QD+I(LT4&.5%D"2Brxx/?/C/C,CDD"2Brxx/?/C/C,CDE3Rb&1A1E1E.EFE3Rb&1A1E1E.EFFEBHHV4D4H4H1H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 1zz2::&,,.	~	% 6* tUm4&D 5 +&DR<8
-%
)	 6*J +Jr5   