o
    i                  	   @   s   d Z ddlZddlmZ ddlmZmZmZm	Z	 ddl
mZmZ ddlZddlmZ dd Zd	d
 Zdd Zdd Zdd Zdd Zejjdddd Zejdeeejeejgejdeeejeejgdd Zejdee	gdd Z dS )z1Test functions for linalg._solve_toeplitz module
    N)levinson)solvetoeplitzsolve_toeplitzmatmul_toeplitz)assert_equalassert_allclose)raisesc                  C   s   t jd} dD ]e}| |}|  dk r|d| |  }| |}|  dk r2|d| |  }| |}|  dk rF|d| |  }t||f|}tt||d|}t|| t||d}tt||}t|| qd S )N  )         
   g      ?              ?rb)	nprandomRandomStaterandnZrandr   r   r   r   )r   ncr   yactualdesired r   `/home/kim/smarthome/.venv/lib/python3.10/site-packages/scipy/linalg/tests/test_solve_toeplitz.pytest_solve_equivalence   s$   



r   c                  C   s   t jd} | d}| d}dD ]0}dD ]+}| j| | }t||f|d}tt||d|}t|j| t|j| t	|| qqd S )Nr
      )r   r   ))r    )r    r   )r    r   r   r   r   )
r   r   r   r   r   r   r   r   shaper   )r   r   r   offsetZyshaper   r   r   r   r   r   test_multiple_rhs%   s   

r#   c                  C   sF   g d} g d}g d}t | |f|}tt| |d|}t|| d S )N)r   r   r       )r   r   	      )   r   r    r   r   )r   r   r   r   )r   r   r   r   r   r   r   r   test_native_list_arguments3   s   r(   c                  C   sR   t jd} d}| |}| |}| |}d|d< tt jjt||f|d d S )Nr
   r    r   r   r   r   r   r   assert_raisesZlinalgZLinAlgErrorr   )r   r   r   r   r   r   r   r   test_zero_diag_error<   s   




r+   c                  C   s6   t jd} g d}| d}tt jjt||d d S )Nr
   )r   r   r   r   r   r)   )r   r   r   r   r   r   test_wikipedia_counterexampleH   s   
r,   c                  C   s0  t jd} | d}| dd }dg}dg}tddD ],}|t|d |d  |d| dd  |t|d |d  |d| dd  qt |dd	d |d d f}t |dd	d  |d d f}t	||dd  d\}}	t	||dd  d\}}
t
||	d d  t
||
d d  d S )
Nr
   r   r   r   r   r   r   )r   r   r   r   rangeappendr   ZconcatenateZconjr   r   )r   Zy_dZy_zZreflection_coeffs_dZreflection_coeffs_ziZ
y_d_concatZ
y_z_concat_Zref_dZref_zr   r   r   test_reflection_coeffsQ   s   
*, $r3   z!Instability of Levinson iteration)reasonc                  C   sT   t jd} d}dt |d  }| |}t||d}tt||}t|| d S )Nr
   d   g?r   r   )	r   r   r   Zaranger   r   r   r   r   )r   r   r   r   Z	solution1Z	solution2r   r   r   test_unstableg   s   	
r6   dt_cdt_bc                 C   s   t jg | d}t jg |d}t||}|jdksJ |jtt jddg| dt jd|djks1J t jd|d}t||}|jdksDJ |j|jksLJ d S )N)dtype)r   r   r   )r   r   )r   arrayr   r!   r9   Zonesempty)r7   r8   r   r   xx1r   r   r   
test_empty{   s   

r>   func                 C   s   t jd}|d}|d}|d}d}tjt|d | || W d    n1 s.w   Y  tjt|d | ||f| W d    d S 1 sMw   Y  d S )Nl   ! )r   r   r       z:Beginning in SciPy 1.17, multidimensional input will be...)match)r   r   Zdefault_rngpytestZwarnsFutureWarning)r?   rngr   r   Zb_or_xmessager   r   r   test_nd_FutureWarning   s   


"rF   )!__doc__numpyr   Zscipy.linalg._solve_toeplitzr   Zscipy.linalgr   r   r   r   Znumpy.testingr   r   rB   r	   r*   r   r#   r(   r+   r,   r3   markZxfailr6   ZparametrizeintfloatZfloat32complexZ	complex64r>   rF   r   r   r   r   <module>   s(    		
