
    8`i                     t    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dS )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                   J   e Zd Zd Zd Zd Zd Zd Zd Zd Z	d Z
d	 Zej                            d
ddg          d             Zej                            dddgdz   ej        d          g          d             Zej                            d          d             ZdS )TestRegressionc                 &   t          g d          }t          dt                    }|                    d          }|dz  }t	          j        |          \  }}|                                 |                                 t          ||           d S )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        ^/root/collector_daemon/venv/lib/python3.11/site-packages/numpy/linalg/tests/test_regression.pytest_eig_buildzTestRegression.test_eig_build   s     , , , - - 7'***IIhFAB
			


!"c*****    c                     g d}t          g dg dg dg          }t          j        |          \  }}t          ||           d S )N)g"&Q@ggdV@g7Z@)g'UlS@4h@%pJ/@)r#   g+>V@研qi0)r$   r%   gJ%~X@)r   r   eighr
   )r   rvalscovvalsvecss        r   test_eigh_buildzTestRegression.test_eigh_build+   sg    888<<<<<<<<<> ? ? [%%
d!$.....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                     d S )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   s    B8b"XBx"b:;;w1:a==1b	!AAAqrrE(##Q''!!RXf%5%566666r!   c                 f    t          t          t          j        t	          g d          d           d S )N)r.   r/   r0   fro)r   
ValueErrorr   normr   )r   s    r   test_norm_vector_badargz&TestRegression.test_norm_vector_badarg@   s,     	j&+u\\\/B/BEJJJJJr!   c                     t          ddgddggd          }t          |d          }t          j        |          }t          j        |          }t          ||           d S )NgC$ 3@g&ug.ܷ#@z>f8r   z<f8)r   r   choleskyr   )r   r   r;   apbps        r   test_lapack_endianz!TestRegression.test_lapack_endianE   ss    Y
+,.5:< < <!5!!!_Q_Q2r"""""r!   c                 n    t          j        dd          }t           j                            |           d S )Ni  B   )r4   eyer   r3   )r   xs     r   test_large_svd_32bitz#TestRegression.test_large_svd_32bitO   s-    F4
	ar!   c           	         dD ]}t           t          fD ]}t          j        ||          }t	          j        |d          }t          j        t          j        |          dk              }t          |d           t          t          j        	                    |          d           t          dt          j                            |d                     t	          j        |          }t          ||           d S )	N))      )rN   rN   )rN   rM   r   F)
compute_uvg      ?   r1   ord)floatcomplexr4   onesr   r3   count_nonzeroabsoluter   matrix_rankr   r@   svdvalsr
   )r   r2   tr   wc	w_svdvalss          r   test_svd_no_uvzTestRegression.test_svd_no_uvT   s    + 
	8 
	8EG^ 	8 	8GE+++JqU333$R[^^c%9::Q"""RY22155q999!!RY^^A1^%=%=>>>"N1--	)!Y7777	8
	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          k               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           d S )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   si   XrxA//A6fEEE
{:&&4!Q(((
bhy111222{:1---4!Q(((
bhy111222{:1---4!Q(((
bhy111222j&+zuEEEEj&+zuEEEEj&+zrvFFFFj&+zwGGGGj&+zqAAAAj&+zrBBBBj&+zrBBBBX!Q 0 0!Q77779@FH H H
 {:&&4!Q(((
bhy111222{:51114!Q(((
bhy111222ijeDDDDj&+zrvFFFFj&+zwGGGGj&+zqAAAAj&+zqAAAAj&+zrBBBBija@@@@ijbAAAAj&+zqAAAAAAr!   c                    d}d}t           j                            ||          dt           j                            ||          z  z   }t           j                            ||          dt           j                            ||          z  z   }|                    |          }t	          j        ||d           \  }}}}	t          ||           d S )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    IOOD$''"rytT/J/J*JJIOOD%((2	e0L0L+LLEE!HH!'a$!?!?!?dB!'1-----r!   upperTFc                     t           j                            t          j        d          |          }|j        dk    sJ d S )N)r   r   )rx   r   )r4   r   rC   r5   rp   )r   rx   rt   s      r   test_cholesky_empty_arrayz(TestRegression.test_cholesky_empty_array   s;     i  &!1!1 ??x1}}}}}}r!   rtolr-   rN   rN   c                     t          j        d          }t           j                            ||          }|j        dk    sJ d S )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   sF     HYi##AD#11yD      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 ]?}||z  }t          j        ||                                           }|dk    r
J d            @d S )	Ni  r   ir   rP      FzHunexpected 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    
 IfBJ///iC!G%%'Aq6Aq6*++9cAgq\**,s 	A 	AA6\F:fh777<<>>JQA  @ A A A 	A 	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      sP       + + +.	/ 	/ 	/7 7 7K K K
# # #  
8 8 8+B +B +BZ
. 
. 
. [WtUm44  54
 [VcC519hbhtnn%EFF! ! GF! [&UVVA A WVA A 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      s          @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @               dA dA dA dA dA dA dA dA dA dAr!   