U
    ¸mœd_2  ã                   @   sô   d dl Zd dlZd dlmZ d dlmZ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ejje	dd�G dd„ dƒƒZdS )é    N)Úrandom)Úassert_array_equalÚassert_raisesÚassert_allcloseÚIS_WASMc                 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   úW/home/sam/Atlas/atlas_env/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/   r1   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$   ÚpytestZraisesr   )r   r.   r   r   r   r   Ú	test_ifft-   s     þÿzTestFFT1D.test_ifftc                 C   sº   t dƒdt dƒ  }ttjjtjj|dd�dd�tj |¡dd� ttj |¡tjj|dd	�dd� ttj |¡t d
¡ tjj|dd	�dd� ttj |¡d tjj|dd	�dd� d S ©N©r*   é   r    r   r	   r   r+   r!   r,   r-   éX  r/   ç     À‚@r1   )r   r   r   r   Úfft2r2   r3   r   r   r   Ú	test_fft28   s"    
 ÿ ÿ ÿ ÿzTestFFT1D.test_fft2c                 C   sº   t dƒdt dƒ  }ttjjtjj|dd�dd�tj |¡dd� ttj |¡tjj|dd	�dd� ttj |¡t d
¡ tjj|dd	�dd� ttj |¡d tjj|dd	�dd� d S r9   )r   r   r   r   r$   Úifft2r2   r3   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·@r1   )r   r   r   r   Úfftnr2   r3   r   r   r   Ú	test_fftnN   s$    &
 þ ÿ ÿ ÿzTestFFT1D.test_fftnc                 C   sÆ   t dƒdt dƒ  }ttjjtjjtjj|dd�dd�dd�tj |¡dd� ttj |¡tjj|d	d
�dd� ttj |¡t d¡ tjj|dd
�dd� ttj |¡d tjj|dd
�dd� d S rB   )r   r   r   r   r$   Úifftnr2   r3   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   r5   ©Únr.   r   r+   r!   )rL   r,   r/   r1   )r   Úsizer   r   r   r&   r2   )r   r   rL   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/   r1   )r   r   r   r   r%   r&   r3   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 )Nr:   é   r+   r!   r,   r-   r<   r/   r=   r1   )r   r   r   r   r>   Úrfft2r2   r3   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 )Nr:   r+   r!   r,   r-   r/   r1   )r   r   r   r   Zirfft2rQ   r3   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 )NrC   é   r+   r!   r,   r-   rE   r/   rF   r1   )r   r   r   r   rG   Úrfftnr2   r3   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 )NrC   r+   r!   r,   r-   r/   r1   )r   r   r   r   ÚirfftnrU   r3   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/   r0   r1   )r   r   ÚconcatenateÚconjr   r   Úhfftr2   ©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 )NrY   r    r   r   r+   r!   r,   r-   r/   r1   )r   r   rZ   r[   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 )NrC   )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   ra   r   rc   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   r5   rK   r+   r!   )r   r   Zlinalgr.   rM   r   r$   r&   r%   r_   r\   r   )	r   r   Zx_normrL   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   ri   r   r   r   r   Útest_dtypesÞ   s    zTestFFT1D.test_dtypesN)"r   r   r   r)   r4   r7   ÚmarkÚparametrizer8   r?   rA   rH   rJ   rN   rO   rR   rS   rV   rX   r^   r`   r   r   rG   rI   rU   rW   re   rh   ZhalfZsingleÚdoubleZ
longdoublerk   r   r   r   r   r      s4   
	






 ÿ
ÿr   ri   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       @rp   r   r   r   r	   )r"   Zrtol)r>   rG   )r   r   )r   r   )r   r   rG   )r   )r   )r   rb   )r   r   ZRandomStateZrandrj   r2   Úlog2rM   Zfinfori   ZepsZasfortranarrayZascontiguousarrayr   Úendswithr#   r   Úextendr   )ri   ro   r   ÚrngÚXZ_tolÚYr
   ZX_resZY_resrc   Zaxr   r   r   Útest_fft_with_orderè   s*    $
r|   zCannot start thread)Úreasonc                   @   s<   e Zd ZdZdZdd„ Zdd„ Zdd„ Zd	d
„ Zdd„ Z	dS )ÚTestFFTThreadSafeé   )i   éÈ   c                    s|   ‡fdd„‰t  ¡ ‰ˆˆ Ž }‡ ‡‡fdd„t| jƒD ƒ}dd„ |D ƒ dd„ |D ƒ t| jƒD ]}tˆjdd�|d	ƒ q^d S )
Nc                    s   |  ˆ | Ž ¡ d S ©N)Úput)ÚargsÚq)Úfuncr   r   Úworker  s    z.TestFFTThreadSafe._test_mtsame.<locals>.workerc                    s   g | ]}t jˆˆ ˆfd �‘qS ))Útargetrƒ   )Ú	threadingÚThread)Ú.0r(   )rƒ   r„   r†   r   r   Ú
<listcomp>  s   ÿz2TestFFTThreadSafe._test_mtsame.<locals>.<listcomp>c                 S   s   g | ]}|  ¡ ‘qS r   )Ústart©rŠ   r   r   r   r   r‹     s     c                 S   s   g | ]}|  ¡ ‘qS r   )Újoinr�   r   r   r   r‹      s     é   )Útimeoutz6Function returned wrong value in multithreaded context)ÚqueueÚQueuer#   Úthreadsr   Úget)r   r…   rƒ   ÚexpectedÚtr(   r   )rƒ   r…   r„   r†   r   Ú_test_mtsame  s    ÿÿzTestFFTThreadSafe._test_mtsamec                 C   s(   t  | j¡d d }|  t jj|¡ d S ©Nr   y                )r   ÚonesÚinput_shaper—   r   ©r   rd   r   r   r   r4   &  s    zTestFFTThreadSafe.test_fftc                 C   s(   t  | j¡d d }|  t jj|¡ d S r˜   )r   r™   rš   r—   r   r$   r›   r   r   r   r8   *  s    zTestFFTThreadSafe.test_ifftc                 C   s    t  | j¡}|  t jj|¡ d S r�   )r   r™   rš   r—   r   r&   r›   r   r   r   rN   .  s    zTestFFTThreadSafe.test_rfftc                 C   s(   t  | j¡d d }|  t jj|¡ d S r˜   )r   r™   rš   r—   r   r%   r›   r   r   r   rO   2  s    zTestFFTThreadSafe.test_irfftN)
r   r   r   r“   rš   r—   r4   r8   rN   rO   r   r   r   r   r~     s   r~   )Únumpyr   r7   Znumpy.randomr   Znumpy.testingr   r   r   r   rˆ   r‘   r   r   r   rl   rm   Zfloat32Zfloat64Z	complex64Z
complex128r   r>   rG   r$   r@   rI   r|   Zskipifr~   r   r   r   r   Ú<module>   s2    Qþ  ÿþ