
    gi                     l    d Z ddlZddlZddlmZmZmZmZmZm	Z	 ddl
mZmZmZmZmZmZ  G d d      Zy)z" Test functions for linalg module
    N)arangearraydotfloat64linalg	transpose)assert_assert_array_almost_equalassert_array_equalassert_array_lessassert_equalassert_raisesc                   @   e Zd Zd Zd Zd Zd Zd Zd Zd Z	d Z
d	 Zej                  j                  d
ddg      d        Zej                  j                  dddgdz   ej"                  d      g      d        Zej                  j'                  d      d        Zy)TestRegressionc                     t        g d      }t        dt              }|j                  d      }|dz  }t	        j
                  |      \  }}|j                          |j                          t        ||       y )N)yӝ'Y@        yF.<2/3        yʹLTW9>/@yʹLTW9>/y=J&        ytV)忷B$@ytV)忷B$yZynFr62@        y(3%@        y:@        yCr~        yYqs`<        yt&Aۼ           dtype)   r      )r   r   r   reshaper   eigsortr
   )selfrvaavaves        Z/var/www/html/audio_env/lib/python3.12/site-packages/numpy/linalg/tests/test_regression.pytest_eig_buildzTestRegression.test_eig_build   sc     , - 7'*IIhFAB
	
!"c*    c                 |    g d}t        g dg dg dg      }t        j                  |      \  }}t        ||       y )N)g"&Q@ggdV@g7Z@)g'UlS@4h@%pJ/@)r#   g+>V@研qi0)r$   r%   gJ%~X@)r   r   eighr
   )r   rvalscovvalsvecss        r   test_eigh_buildzTestRegression.test_eigh_build+   s=    8<<<> ? [[%
d!$.r!   c                     t        ddgddgddgddgg      }|j                  \  }}t        j                  |      \  }}}t	        t        |d d |d f         |      }t        |t        j                  d             y )N              ?       @      @)   r1   )	r   shaper   svdr   r   r
   npzeros)r   r   mnusvhbs           r   test_svd_buildzTestRegression.test_svd_build6   ss    B8b"XBx"b:;ww1::a=1b	!AqrE(#Q'!!RXXf%56r!   c                 Z    t        t        t        j                  t	        g d      d       y )N)r.   r/   r0   fro)r   
ValueErrorr   normr   )r   s    r   test_norm_vector_badargz&TestRegression.test_norm_vector_badarg@   s     	j&++u\/BEJr!   c                     t        ddgddggd      }t        |d      }t        j                  |      }t        j                  |      }t        ||       y )NgC$ 3@g&ug.ܷ#@z>f8r   z<f8)r   r   choleskyr   )r   r   r;   apbps        r   test_lapack_endianz!TestRegression.test_lapack_endianE   sU    Y
+,.5:<!5!__Q__Q2r"r!   c                 n    t        j                  dd      }t         j                  j                  |       y )Ni  B   )r4   eyer   r3   )r   xs     r   test_large_svd_32bitz#TestRegression.test_large_svd_32bitO   s"    FF4
		ar!   c           	         dD ]  }t         t        fD ]  }t        j                  ||      }t	        j
                  |d      }t        j                  t        j                  |      dkD        }t        |d       t        t        j                  j                  |      d       t        dt        j                  j                  |d             t	        j                  |      }t        ||         y )	N))      )rN   rN   )rN   rM   r   F)
compute_uvg      ?   r1   ord)floatcomplexr4   onesr   r3   count_nonzeroabsoluter   matrix_rankr   r@   svdvalsr
   )r   r2   tr   wc	w_svdvalss          r   test_svd_no_uvzTestRegression.test_svd_no_uvT   s    + 
	8EG^ 	8GGE+JJqU3$$R[[^c%9:Q"RYY2215q9!!RYY^^A1^%=>"NN1-	)!Y7	8
	8r!   c                    t        j                  t        j                  ddg      ddgt              }t        j                  |      }t        |ddg       t        |j                  t        j                  d      k(         t        j                  |d      }t        |ddg       t        |j                  t        j                  d      k7         t        j                  |d      }t        |ddg       t        |j                  t        j                  d      k(         t        t        t        j                  |d       t        t        t        j                  |d       t        t        t        j                  |t         j                         t        t        t        j                  |t         j                          t        t        t        j                  |d       t        t        t        j                  |d	       t        t        t        j                  |d
       t        j                  t        j                  ddg      ddgg dgt              }t        j                  |      }t        |ddg       t        |j                  t        j                  d      k(         t        j                  |d      }t        |ddg       t        |j                  t        j                  d      k(         t        t        t        j                  |d       t        t        t        j                  |t         j                         t        t        t        j                  |t         j                          t        t        t        j                  |d       t        t        t        j                  |d       t        t        t        j                  |d	       t        t        t        j                  |d       t        t        t        j                  |d
       t        t        t        j                  |d       y )Nr   rP   r   r   rQ   r1   r>   nuc)r   r   r   rM   )r4   r   objectr   r@   r   r	   r   r   r?   inf	TypeError)r   
testvectorr@   
testmatrixs       r   test_norm_object_arrayz%TestRegression.test_norm_object_arrayb   s   XXrxxA/A6fE
{{:&4!Q(

bhhy112{{:1-4!Q(

bhhy112{{:1-4!Q(

bhhy112j&++zuEj&++zuEj&++zrvvFj&++zwGj&++zqAj&++zrBj&++zrBXX!Q 0!Q779@FH
 {{:&4!Q(

bhhy112{{:514!Q(

bhhy112ijeDj&++zrvvFj&++zwGj&++zqAj&++zqAj&++zrBija@ijbAj&++zqAr!   c                    d}d}t         j                  j                  ||      dt         j                  j                  ||      z  z   }t         j                  j                  ||      dt         j                  j                  ||      z  z   }|j                  |      }t	        j
                  ||d       \  }}}}	t        ||       y )N   F   y              ?)rcond)r4   randomrandnr   r   lstsqr
   )
r   sizen_rhsGr8   r;   u_lstsqresranksvs
             r   test_lstsq_complex_larger_rhsz,TestRegression.test_lstsq_complex_larger_rhs   s    IIOOD$'"ryytT/J*JJIIOOD%(2		e0L+LLEE!H!'a$!?dB!'1-r!   upperTFc                     t         j                  j                  t        j                  d      |      }|j                  dk(  sJ y )N)r   r   )rx   r   )r4   r   rC   r5   rp   )r   rx   rt   s      r   test_cholesky_empty_arrayz(TestRegression.test_cholesky_empty_array   s6     ii  &!1 ?xx1}}r!   rtolr-   rN   rN   c                     t        j                  d      }t         j                  j                  ||      }|j                  dk(  sJ y )N)rN   rM   r1   )r{   r|   )r4   r5   r   rX   r2   )r   r{   rJ   rt   s       r   test_matrix_rank_rtol_argumentz-TestRegression.test_matrix_rank_rtol_argument   s=     HHYii##AD#1yyD   r!   z-test is already testing threads with openblas)reasonc                    t        j                  dt         j                        }t        j                  |d|z  f      j                  }t        j
                  ddgddgg      }t        j                  d|z  |f      j                  }t        d      D ]8  }||z  }t        j                  ||       j                         }|dk7  s3J d        y )Ni  r   ir   rP      zHunexpected result from matmul, probably due to OpenBLAS threading issues)	r4   r   r   vstackTr   rangeisclosesum)r   rJ   srcmatrixexpectediresult
mismatchess           r   test_openblas_threadingz&TestRegression.test_openblas_threading   s    
 IIfBJJ/iiC!G%''Aq6Aq6*+99cAgq\*,,s 	AA6\F::fh77<<>JQA  @ Au		Ar!   N)__name__
__module____qualname__r    r+   r<   rA   rF   rK   r^   rh   rw   pytestmarkparametrizerz   r4   r5   r~   thread_unsafer    r!   r   r   r      s    +.	/7K
#
8+BZ
. [[WtUm4 5
 [[VcC519hbhhtn%EF! G! [[&UVA WAr!   r   )__doc__r   numpyr4   r   r   r   r   r   r   numpy.testingr	   r
   r   r   r   r   r   r   r!   r   <module>r      s0      @ @ dA dAr!   