U
    ÉZj2  ã                   @   sà   d dl Zd dlZd dlmZ d dlmZmZmZ d dl	Z	d dl
Z
dd„ ZG dd„ dƒZG dd	„ d	ƒZej d
ejejejejg¡ej dddg¡ej dejjejjejjejjejjejjg¡dd„ ƒƒƒZG dd„ dƒZdS )é    N)Úrandom)Úassert_array_equalÚassert_raisesÚassert_allclosec                 C   sN   t | ƒ}dtj t |¡|  }t |¡ dd¡| }tj| t |¡ dd�S )Ny       €       Àéÿÿÿÿé   ©Úaxis)ÚlenÚnpÚpiZarangeZreshapeÚsumÚexp)ÚxÚLZphase© r   úa/var/www/html/TRUCKING_PROJECT/venv/lib/python3.8/site-packages/numpy/fft/tests/test_pocketfft.pyÚfft1   s    r   c                   @   s   e Zd Zdd„ ZdS )ÚTestFFTShiftc                 C   s   t ttjjdddgdƒ d S )Nr   é   é   r   )r   Ú
ValueErrorr   Úfft)Úselfr   r   r   Ú
test_fft_n   s    zTestFFTShift.test_fft_nN)Ú__name__Ú
__module__Ú__qualname__r   r   r   r   r   r      s   r   c                   @   sî   e Zd Zdd„ Zdd„ Zej dd¡dd„ ƒZd	d
„ Z	dd„ Z
dd„ Zdd„ Zdd„ Zdd„ Zdd„ Zdd„ Zdd„ Zdd„ Zdd„ Zdd „ Zej d!ejjejjejjejjg¡d"d#„ ƒZd$d%„ Zej d&ejejejej g¡d'd(„ ƒZ!d)S )*Ú	TestFFT1Dc              	   C   s’   d}t |ƒdt |ƒ  }t |ƒ}td|ƒD ]b}ttj tj |d|… ¡¡|d|… dd� ttj tj |d|… ¡|¡|d|… dd� q*d S )Ni   ù              ð?r   r   gê-�™—q=©Úatol)r   Úranger   r   r   ÚifftÚirfftÚrfft)r   Úmaxlenr   ZxrÚir   r   r   Útest_identity   s    &ÿ
 ÿzTestFFT1D.test_identityc                 C   sš   t dƒdt dƒ  }tt|ƒtj |¡dd� tt|ƒtjj|dd�dd� tt|ƒt d¡ tjj|dd�dd� tt|ƒd tjj|d	d�dd� d S )
Né   r   ç�íµ ÷Æ°>r    Úbackward©ÚnormÚorthoç      >@Úforward)r   r   r   r   r   Úsqrt©r   r   r   r   r   Útest_fft$   s     ÿ ÿzTestFFT1D.test_fftr-   ©Nr+   r.   r0   c              	   C   sh   t dƒdt dƒ  }t|tjjtjj||d�|d�dd� tjtdd�� tjjg |d� W 5 Q R X d S )Nr)   r   r,   r*   r    z!Invalid number of FFT data points)Úmatch)r   r   r   r   r#   ÚpytestZraisesr   )r   r-   r   r   r   r   Ú	test_ifft-   s     þÿzTestFFT1D.test_ifftc                 C   sº   t dƒdt dƒ  }ttjjtjj|dd�dd�tj |¡dd� ttj |¡tjj|dd	�dd� ttj |¡t d
¡ tjj|dd	�dd� ttj |¡d tjj|dd	�dd� d S ©N©r)   é   r   r   r   r   r*   r    r+   r,   éX  r.   ç     À‚@r0   )r   r   r   r   Úfft2r1   r2   r   r   r   Ú	test_fft28   s"    
 ÿ ÿ ÿ ÿzTestFFT1D.test_fft2c                 C   sº   t dƒdt dƒ  }ttjjtjj|dd�dd�tj |¡dd� ttj |¡tjj|dd	�dd� ttj |¡t d
¡ tjj|dd	�dd� ttj |¡d tjj|dd	�dd� d S r8   )r   r   r   r   r#   Úifft2r1   r2   r   r   r   Ú
test_ifft2C   s"    
 ÿ ÿ ÿ ÿzTestFFT1D.test_ifft2c                 C   sÆ   t dƒdt dƒ  }ttjjtjjtjj|dd�dd�dd�tj |¡dd� ttj |¡tjj|d	d
�dd� ttj |¡t d¡ tjj|dd
�dd� ttj |¡d tjj|dd
�dd� d S ©N©r)   r:   é
   r   r   r   r   r   r*   r    r+   r,   ép  r.   ç     p·@r0   )r   r   r   r   Úfftnr1   r2   r   r   r   Ú	test_fftnN   s$    &
 þ ÿ ÿ ÿzTestFFT1D.test_fftnc                 C   sÆ   t dƒdt dƒ  }ttjjtjjtjj|dd�dd�dd�tj |¡dd� ttj |¡tjj|d	d
�dd� ttj |¡t d¡ tjj|dd
�dd� ttj |¡d tjj|dd
�dd� d S rA   )r   r   r   r   r#   Úifftnr1   r2   r   r   r   Ú
test_ifftnZ   s$    &
 þ ÿ ÿ ÿzTestFFT1D.test_ifftnc              	   C   sì   t dƒ}|jd|j fD ]Î}dD ]>}ttjj|||d�d |d d … tjj|||d�dd� q ttjj||d�tjj||d	d�dd� ttjj||d�t |¡ tjj||d
d�dd� ttjj||d�| tjj||dd�dd� qd S )Nr)   r   r4   ©Únr-   r   r*   r    )rK   r+   r.   r0   )r   Úsizer   r   r   r%   r1   )r   r   rK   r-   r   r   r   Ú	test_rfftf   s.      þ þ þ þzTestFFT1D.test_rfftc                 C   sœ   t dƒ}t|tj tj |¡¡dd� t|tjjtjj|dd�dd�dd� t|tjjtjj|dd�dd�dd� t|tjjtjj|dd�dd�dd� d S )Nr)   r*   r    r+   r,   r.   r0   )r   r   r   r   r$   r%   r2   r   r   r   Ú
test_irfftw   s"    ÿÿÿÿÿÿzTestFFT1D.test_irfftc                 C   s®   t dƒ}ttj |¡d d …d d…f tj |¡dd� ttj |¡tjj|dd�dd� ttj |¡t d¡ tjj|dd�dd� ttj |¡d	 tjj|d
d�dd� d S )Nr9   é   r*   r    r+   r,   r;   r.   r<   r0   )r   r   r   r   r=   Úrfft2r1   r2   r   r   r   Ú
test_rfft2�   s    . ÿ ÿ ÿzTestFFT1D.test_rfft2c                 C   sœ   t dƒ}t|tj tj |¡¡dd� t|tjjtjj|dd�dd�dd� t|tjjtjj|dd�dd�dd� t|tjjtjj|dd�dd�dd� d S )Nr9   r*   r    r+   r,   r.   r0   )r   r   r   r   Zirfft2rP   r2   r   r   r   Útest_irfft2‹   s"    ÿÿÿÿÿÿzTestFFT1D.test_irfft2c                 C   s´   t dƒ}ttj |¡d d …d d …d d…f tj |¡dd� ttj |¡tjj|dd�dd� ttj |¡t d¡ tjj|dd�dd� ttj |¡d	 tjj|d
d�dd� d S )NrB   é   r*   r    r+   r,   rD   r.   rE   r0   )r   r   r   r   rF   Úrfftnr1   r2   r   r   r   Ú
test_rfftn•   s    4 ÿ ÿ ÿzTestFFT1D.test_rfftnc                 C   sœ   t dƒ}t|tj tj |¡¡dd� t|tjjtjj|dd�dd�dd� t|tjjtjj|dd�dd�dd� t|tjjtjj|dd�dd�dd� d S )NrB   r*   r    r+   r,   r.   r0   )r   r   r   r   ÚirfftnrT   r2   r   r   r   Útest_irfftnŸ   s"    ÿÿÿÿÿÿzTestFFT1D.test_irfftnc                 C   sÞ   t dƒdt dƒ  }t t dƒ|t dƒf¡}t ||d d d…  ¡ f¡}ttj |¡tj |¡dd� ttj |¡tjj|dd�dd� ttj |¡t d	¡ tjj|d
d�dd� ttj |¡d tjj|dd�dd� d S )Né   r   r   r   r*   r    r+   r,   r)   r.   r/   r0   )r   r   ÚconcatenateÚconjr   r   Úhfftr1   ©r   r   Zx_hermr   r   r   Ú	test_hfft©   s      ÿ ÿ ÿzTestFFT1D.test_hfftc                 C   sÜ   t dƒdt dƒ  }t t dƒ|t dƒf¡}t ||d d d…  ¡ f¡}t|tj tj |¡¡dd� t|tjjtjj|dd�dd�dd� t|tjjtjj|d	d�d	d�dd� t|tjjtjj|d
d�d
d�dd� d S )NrX   r   r   r   r*   r    r+   r,   r.   r0   )r   r   rY   rZ   r   r   Úihfftr[   r\   r   r   r   Ú
test_ihfftµ   s2    ÿÿÿÿÿÿÿÿÿzTestFFT1D.test_ihfftÚopc                 C   sX   t dƒ}ddddddg}|D ]6}|t ||¡ƒ}t |||d�|¡}t||d	d
� qd S )NrB   )r   r   r   )r   r   r   )r   r   r   )r   r   r   )r   r   r   )r   r   r   ©Úaxesr*   r    )r   r   Z	transposer   )r   r`   r   rb   ÚaZop_trZtr_opr   r   r   Ú	test_axesÁ   s    zTestFFT1D.test_axesc           	      C   s°   t dƒ}tj |¡}|jd }tjjtjjftjjtjjftjj	tjj
fg}|D ]Z\}}|jd|j fD ]@}dD ]6}||||d�}||||d�}t|tj |¡dd� qpqhqPd S )Nr)   r   r4   rJ   r*   r    )r   r   Zlinalgr-   rL   r   r#   r%   r$   r^   r[   r   )	r   r   Zx_normrK   Z
func_pairsZforwÚbackr-   Útmpr   r   r   Útest_all_1d_norm_preservingË   s     
ü
 ÿz%TestFFT1D.test_all_1d_norm_preservingÚdtypec                 C   sN   t dƒ |¡}ttj tj |¡¡|dd� ttj tj |¡¡|dd� d S )Nr)   r*   r    )r   Úastyper   r   r   r#   r$   r%   )r   rh   r   r   r   r   Útest_dtypesÞ   s    zTestFFT1D.test_dtypesN)"r   r   r   r(   r3   r6   ÚmarkÚparametrizer7   r>   r@   rG   rI   rM   rN   rQ   rR   rU   rW   r]   r_   r   r   rF   rH   rT   rV   rd   rg   ZhalfZsingleÚdoubleZ
longdoublerj   r   r   r   r   r      s4   
	





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 ÿ
ÿr   rh   ÚorderÚFznon-contiguousr   c                 C   s6  t j d¡}| ddd¡j| dd�}dt  t  |j¡¡ t  |j	¡j
 }|dkr\t  |¡}n"|d d d	… }t  |d d d	… ¡}|j d
¡rÂtdƒD ],}|||d�}|||d�}	t||	||d� q’np|j d¡�r,dddg}
|j d¡rø|
 dddd g¡ |
D ],}|||d�}|||d�}	t||	||d� qüntƒ ‚d S )Né*   é   é   é   F)Úcopyg       @ro   r   r   r   r   )r!   Zrtol)r=   rF   )r   r   )r   r   )r   r   rF   )r   )r   )r   ra   )r   r   ZRandomStateZrandri   r1   Úlog2rL   Zfinforh   ÚepsZasfortranarrayZascontiguousarrayr   Úendswithr"   r   Úextendr   )rh   rn   r   ÚrngÚXZ_tolÚYr	   ZX_resZY_resrb   Zaxr   r   r   Útest_fft_with_orderè   s*    $
r|   c                   @   s<   e Zd ZdZdZdd„ Zdd„ Zdd„ Zd	d
„ Zdd„ Z	dS )ÚTestFFTThreadSafeé   )i   éÈ   c                    s|   ‡fdd„‰t  ¡ ‰ˆˆ Ž }‡ ‡‡fdd„t| jƒD ƒ}dd„ |D ƒ dd„ |D ƒ t| jƒD ]}tˆjdd�|d	ƒ q^d S )
Nc                    s   |  ˆ | Ž ¡ d S ©N)Úput)ÚargsÚq)Úfuncr   r   Úworker  s    z.TestFFTThreadSafe._test_mtsame.<locals>.workerc                    s   g | ]}t jˆˆ ˆfd �‘qS ))Útargetr‚   )Ú	threadingÚThread)Ú.0r'   )r‚   rƒ   r…   r   r   Ú
<listcomp>  s   ÿz2TestFFTThreadSafe._test_mtsame.<locals>.<listcomp>c                 S   s   g | ]}|  ¡ ‘qS r   )Ústart©r‰   r   r   r   r   rŠ     s     c                 S   s   g | ]}|  ¡ ‘qS r   )ÚjoinrŒ   r   r   r   rŠ     s     é   )Útimeoutz6Function returned wrong value in multithreaded context)ÚqueueÚQueuer"   Úthreadsr   Úget)r   r„   r‚   ÚexpectedÚtr'   r   )r‚   r„   rƒ   r…   r   Ú_test_mtsame  s    ÿÿzTestFFTThreadSafe._test_mtsamec                 C   s(   t  | j¡d d }|  t jj|¡ d S ©Nr   y                )r   ÚonesÚinput_shaper–   r   ©r   rc   r   r   r   r3   %  s    zTestFFTThreadSafe.test_fftc                 C   s(   t  | j¡d d }|  t jj|¡ d S r—   )r   r˜   r™   r–   r   r#   rš   r   r   r   r7   )  s    zTestFFTThreadSafe.test_ifftc                 C   s    t  | j¡}|  t jj|¡ d S r€   )r   r˜   r™   r–   r   r%   rš   r   r   r   rM   -  s    zTestFFTThreadSafe.test_rfftc                 C   s(   t  | j¡d d }|  t jj|¡ d S r—   )r   r˜   r™   r–   r   r$   rš   r   r   r   rN   1  s    zTestFFTThreadSafe.test_irfftN)
r   r   r   r’   r™   r–   r3   r7   rM   rN   r   r   r   r   r}     s   r}   )Únumpyr   r6   Znumpy.randomr   Znumpy.testingr   r   r   r‡   r�   r   r   r   rk   rl   Zfloat32Zfloat64Z	complex64Z
complex128r   r=   rF   r#   r?   rH   r|   r}   r   r   r   r   Ú<module>   s0    Qþ  ÿþ