B
    `                 @   s   d Z ddlZddlmZ ddl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dS )z1Test functions for linalg._solve_toeplitz module
    N)levinson)solvetoeplitzsolve_toeplitz)assert_equalassert_allclose)raisesc              C   s   t jd} xdD ]}| |}|  dk r>|d| |  }| |}|  dk rf|d| |  }| |}|  dk r|d| |  }t||f|}tt||d|}t|| t||d}tt||}t|| qW d S )Ni  )         
   g      ?y              ?)r)b)	nprandomRandomStaterandnZrandr   r   r   r   )r   ncr   yactualdesired r   U/home/dcms/DCMS/lib/python3.7/site-packages/scipy/linalg/tests/test_solve_toeplitz.pytest_solve_equivalence   s"    




r   c              C   s   t jd} | d}| d}xldD ]d}x^dD ]V}| j| | }t||f|d}tt||d|}t|j| t|j| t	|| q0W q&W d S )Ni     )r   y              ?))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   sR   ddddg} ddddg}ddddg}t | |f|}tt| |d	|}t|| d S )
Nr	   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 )Ni  r   r   )r   )r   r   r   r   assert_raiseslinalgLinAlgErrorr   )r   r   r   r   r   r   r   r   test_zero_diag_error<   s    


r'   c              C   s8   t jd} dddg}| d}tt jjt||d d S )Ni  r
   r	   r   )r   )r   r   r   r   r$   r%   r&   r   )r   r   r   r   r   r   test_wikipedia_counterexampleH   s    

r(   c              C   s4  t jd} | d}| dd }dg}dg}xftddD ]X}|t|d |d  |d| dd  |t|d |d  |d| dd  q<W t |dd	d |d d f}t |dd	d  |d d f}t	||dd  d\}}	t	||dd  d\}}
t
||	d d  t
||
d d  d S )
Ni  r   y              ?r	   r
   )r   r   )r   r   r   r   rangeappendr   ZconcatenateZconjr   r   )r   Zy_dZy_zZreflection_coeffs_dZreflection_coeffs_ziZ
y_d_concatZ
y_z_concat_Zref_dZref_zr   r   r   test_reflection_coeffsQ   s    
*. $r/   z!Instability of Levinson iteration)reasonc              C   sT   t jd} d}dt |d  }| |}t||d}tt||}t|| d S )Ni  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    	
r2   )__doc__numpyr   Zscipy.linalg._solve_toeplitzr   Zscipy.linalgr   r   r   Znumpy.testingr   r   Zpytestr   r$   r   r   r#   r'   r(   r/   markZxfailr2   r   r   r   r   <module>   s   		