
    G/Ph1                     |    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dS )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                            d
ddg          d             Zej                            dddgdz   ej        d          g          d             Z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   shaper   eigsortr   )selfrvaavaves        b/var/www/html/test/jupyter/venv/lib/python3.11/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          ||           d S )N)g"&Q@ggdV@g7Z@)g'UlS@4h@%pJ/@)r#   g+>V@研qi0)r$   r%   gJ%~X@)r   r   eighr   )r   rvalscovvalsvecss        r   test_eigh_buildzTestRegression.test_eigh_build(   sj    888>>>===>>>@ A A [%%
d!$.....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                     d S )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   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$ 3@g&ug.ܷ#@z>f8r   z<f8)r   r   choleskyr   )r   r   r:   apbps        r   test_lapack_endianz!TestRegression.test_lapack_endianB   ss    I
+*-/6;= = =!5!!!_Q_Q2r"""""r!   c                 n    t          j        dd          }t           j                            |           d S )Ni  B   )r3   eyer   r2   )r   xs     r   test_large_svd_32bitz#TestRegression.test_large_svd_32bitL   s-    F4
	ar!   c           	         dD ]}t           t          fD ]}t          j        ||          }t	          j        |d          }t          j        t          j        |          dk              }t          |d           t          t          j        	                    |          d           t          dt          j                            |d                     t	          j        |          }t          ||           d S )	N))      )rM   rM   )rM   rL   r   F)
compute_uvg      ?   r1   ord)floatcomplexr3   onesr   r2   count_nonzeroabsoluter   matrix_rankr   r?   svdvalsr   )r   r   tr   wc	w_svdvalss          r   test_svd_no_uvzTestRegression.test_svd_no_uvQ   s    + 
	8 
	8EG^ 	8 	8GE+++JqU333$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   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_   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)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    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   )rw   r   )r3   r   rB   r4   ro   )r   rw   rs   s      r   test_cholesky_empty_arrayz(TestRegression.test_cholesky_empty_array   s;     i  &!1!1 ??x1}}}}}}r!   rtolr-   rM   rM   c                     t          j        d          }t           j                            ||          }|j        dk    sJ d S )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   sF     HYi##AD#11yD      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 ]?}||z  }t          j        ||                                           }|dk    r
J d            @d S )	Ni  r   ir   rO      FzHunexpected 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     IfBJ///iCE
##%Aq6Aq6*++9c!eQZ((*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;   r@   rE   rJ   r]   rg   rv   pytestmarkparametrizery   r3   r4   r}   r    r!   r   r   r      s.       + + +.	/ 	/ 	/7 7 7K K K
# # #  
8 8 8+B +B +BZ
. 
. 
. [WtUm44  54
 [VcC519hbhtnn%EFF! ! GF!A A A A 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      s           @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @               cA cA cA cA cA cA cA cA cA cAr!   