
    qKg1                     t    d 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
 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)linalgarangefloat64arraydot	transpose)assert_assert_raisesassert_equalassert_array_equalassert_array_almost_equalassert_array_lessc                      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d Zy)TestRegressionc                     t        g d      }t        dt              }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   shaper   eigsortr   )selfrvaavaves        f/home/alanp/www/video.onchill/myenv/lib/python3.12/site-packages/numpy/linalg/tests/test_regression.pytest_eig_buildzTestRegression.test_eig_build   s\     , - 7'*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$   r%   gJ%~X@)r   r   eighr   )r   rvalscovvalsvecss        r   test_eigh_buildzTestRegression.test_eigh_build(   s?    8>=>@ A [[%
d!$.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   r   r   svdr   r   r   npzeros)r   r   mnusvhbs           r   test_svd_buildzTestRegression.test_svd_build3   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$ 3@g&ug.ܷ#@z>f8r   z<f8)r   r   choleskyr   )r   r   r:   apbps        r   test_lapack_endianz!TestRegression.test_lapack_endianB   sU    I
+*-/6;=!5!__Q__Q2r"r!   c                 n    t        j                  dd      }t         j                  j                  |       y )Ni  B   )r3   eyer   r2   )r   xs     r   test_large_svd_32bitz#TestRegression.test_large_svd_32bitL   s"    FF4
		ar!   c           	         dD ]  }t         t        fD ]  }t        j                  ||      }t	        j
                  |d      }t        j                  t        j                  |      dkD        }t        |d       t        t        j                  j                  |      d       t        dt        j                  j                  |d             t	        j                  |      }t        ||         y )	N))      )rM   rM   )rM   rL   r   F)
compute_uvg      ?   r1   ord)floatcomplexr3   onesr   r2   count_nonzeroabsoluter   matrix_rankr   r?   svdvalsr   )r   r   tr   wc	w_svdvalss          r   test_svd_no_uvzTestRegression.test_svd_no_uvQ   s    +EG^GGE+JJqU3$$R[[^c%9:Q"RYY2215q9!!RYY^^A1^%=>"NN1-	)!Y7 $ ,r!   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   rO   r   r   rP   r1   r=   nuc)r   r   r   rL   )r3   r   objectr   r?   r   r	   r   r
   r>   inf	TypeError)r   
testvectorr?   
testmatrixs       r   test_norm_object_arrayz%TestRegression.test_norm_object_array_   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)r3   randomrandnr   r   lstsqr   )
r   sizen_rhsGr7   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   )rw   r   )r3   r   rB   r4   ro   )r   rw   rs   s      r   test_cholesky_empty_arrayz(TestRegression.test_cholesky_empty_array   s6     ii  &!1 ?xx1}}r!   rtolr-   rM   rM   c                     t        j                  d      }t         j                  j                  ||      }|j                  dk(  sJ y )N)rM   rL   r1   )rz   r{   )r3   r4   r   rW   r   )r   rz   rI   rs   s       r   test_matrix_rank_rtol_argumentz-TestRegression.test_matrix_rank_rtol_argument   s=     HHYii##AD#1yyD   r!   c                    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   rO      zHunexpected result from matmul, probably due to OpenBLAS threading issues)	r3   r   r   vstackTr   rangeisclosesum)r   rI   srcmatrixexpectediresult
mismatchess           r   test_openblas_threadingz&TestRegression.test_openblas_threading   s     IIfBJJ/iiCE
#%%Aq6Aq6*+99c!eQZ(**sA6\F::fh77<<>JQA  @ Au	 r!   N)__name__
__module____qualname__r    r+   r;   r@   rE   rJ   r]   rg   rv   pytestmarkparametrizery   r3   r4   r}   r    r!   r   r   r      s    +.	/7K
#
8+BZ
. [[WtUm4 5
 [[VcC519hbhhtn%EF! G!Ar!   r   )__doc__warningsr   numpyr3   r   r   r   r   r   r   numpy.testingr	   r
   r   r   r   r   r   r   r!   r   <module>r      s1       @ @ cA cAr!   