o
    h                     @   s>  d dl mZmZmZmZmZmZ d dlZd dlmZ	 d dl
mZmZmZmZmZmZ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mZmZm Z  d dlZ!d dl"Zd dl#m$Z$ g dZ%g dZ&d	gZ'd
gZ(dd Z)dd Z*dd Z+dd Z,dd Z-dd Z.dd Z/dd Z0dd Z1dd Z2G dd  d Z3G d!d" d"e3Z4G d#d$ d$e3Z5G d%d& d&e3Z6G d'd( d(Z7G d)d* d*Z8ej9j:e!j;e!j<u d+d,G d-d. d.e8Z=G d/d0 d0e8Z>G d1d2 d2e8Z?G d3d4 d4Z@ej9j:e!j;e!j<u d+d,G d5d6 d6e@ZAG d7d8 d8e@ZBG d9d: d:e@ZCG d;d< d<ZDej9j:e!j;e!j<u d+d,G d=d> d>eDZEG d?d@ d@eDZFG dAdB dBeDZGG dCdD dDZHG dEdF dFZIG dGdH dHZJG dIdJ dJZKG dKdL dLZLG dMdN dNZMG dOdP dPZNej9OdQeeeeeeeegdRdS ZPej9OdQeeeeeeeegdTdU ZQej9OdQeeeegdVdW ZRdS )X    )assert_assert_equalassert_array_almost_equalassert_array_almost_equal_nulpassert_array_lessassert_allcloseN)raises)ifftfftfftnifftnrfftirfftrfftnirfftnhfftihffthfftnihfftn)	arangearrayasarrayzerosdotexppiswapaxescdoublerand)i    i`  i  )      $   i     c                 C   s8   d| d| }t tj| | |tj|  | d S )Nzsize: z  rdt: )r   nplinalgnorm)xyrtolsizerdterr_msg r-   Y/var/www/vscode/kcb/lib/python3.10/site-packages/scipy/fft/_pocketfft/tests/test_basic.py_assert_close_in_norm&   s   (r/   c                 C   s   t |  S Nr   )r*   r-   r-   r.   random,   s   r1   c                 C   s   | j d}| |S )z-Returns the same array with swapped byteorderS)dtypenewbyteorderastype)arrr3   r-   r-   r.   swap_byteorder/   s   
r7   c                 C   sZ   t | } t| }t|td}t| dt |  }t|D ]}tt|| | ||< q|S Nr3                  @	r   lenr   r   r   r   ranger   r   r'   nr(   wir-   r-   r.   
direct_dft4   s   rB   c                 C   s\   t | } t| }t|td}t|dt |  }t|D ]}tt|| | | ||< q|S r8   r;   r>   r-   r-   r.   direct_idft>   s   rC   c                 C   (   t | } t| jD ]}t| |d} q	| S N)axis)r   r=   ndimr
   r'   rF   r-   r-   r.   direct_dftnH      rI   c                 C   rD   rE   )r   r=   rG   r	   rH   r-   r-   r.   direct_idftnO   rJ   rK   c                 C   sj   t | } t| }t| dt |  }t|d d td}t|d d D ]}tt|| | ||< q%|S )Nr:   r       r9   )	r   r<   r   r   r   r   r=   r   r   )r'   r?   r@   r(   rA   r-   r-   r.   direct_rdftV   s   rM   c                 C   sj   t | } t|td}t|d d D ]}| | ||< |dkr/d| |k r/t| | ||| < qt|jS )Nr9   r    rL   r   )r   r   r   r=   r$   conjrC   real)r'   r?   x1rA   r-   r-   r.   direct_irdft`   s   
rQ   c                 C   s   t t| t| jd dS )NrL   axes)r   r   r=   rG   r'   r-   r-   r.   direct_rdftnj   s   rU   c                   @   <   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd ZdS )_TestFFTBasec                 C   s   d | _ d | _tjd d S N  )cdtr+   r$   r1   seedselfr-   r-   r.   setup_methodo   s   z_TestFFTBase.setup_methodc                 C   sf   t jg d| jd}t|}t|j| j t|}t|| t jg d| jd}tt|t| d S )NrL   r             @      ?rL   r    r`   y      @       @r9   rL   r    r`   y      @           )r$   r   rZ   r
   r   r3   rB   r   r]   r'   r(   y1r-   r-   r.   test_definitiont   s   
z_TestFFTBase.test_definitionc                 C   sz   t jg d| jd}t jg d| jd}t||gdd}t|j| j t|jd t|d t	| t|d t	| d S NrL   r    r`      r9   ri   r?   r    ri   r   rL   )
r$   r   r+   r
   r   r3   rZ   shaper   rB   r]   rP   x2r(   r-   r-   r.   test_n_argument_real}      z!_TestFFTBase.test_n_argument_realc                 C   sz   t jg d| jd}t jg d| jd}t||gdd}t|j| j t|jd t|d t| t|d t| d S )N)rL   r    r`   ra   r9   ri   rj   rk   r   rL   )	r$   r   rZ   r
   r   r3   rl   r   rB   rm   r-   r-   r.   _test_n_argument_complex   rp   z%_TestFFTBase._test_n_argument_complexc                 C   s\   t ddD ]&}d| }t|}t|t}tj|}t|| t|}t|| qd S Nr       )r=   r$   r   r
   r5   complexnumpyr   r]   rA   r?   r'   r(   y2r-   r-   r.   test_djbfft   s   

z_TestFFTBase.test_djbfftc                 C   *   t ttg  t ttddgddggd d S NrL   r    )assert_raises
ValueErrorr
   r\   r-   r-   r.   test_invalid_sizes      z_TestFFTBase.test_invalid_sizesN)	__name__
__module____qualname__r^   rf   ro   rq   rx   r~   r-   r-   r-   r.   rW   n   s    			
rW   c                   @      e Zd Zdd ZdS )TestLongDoubleFFTc                 C      t j| _t j| _d S r0   r$   clongdoublerZ   
longdoubler+   r\   r-   r-   r.   r^         zTestLongDoubleFFT.setup_methodNr   r   r   r^   r-   r-   r-   r.   r          r   c                   @   r   )TestDoubleFFTc                 C   r   r0   )r$   r   rZ   float64r+   r\   r-   r-   r.   r^      r   zTestDoubleFFT.setup_methodNr   r-   r-   r-   r.   r      r   r   c                   @   r   )TestSingleFFTc                 C   r   r0   r$   	complex64rZ   float32r+   r\   r-   r-   r.   r^      r   zTestSingleFFT.setup_methodNr   r-   r-   r-   r.   r      r   r   c                   @      e Zd Zdd Zdd ZdS )TestFloat16FFTc                 C   sT   t jg dt jd}t|dd}t|jt j t|jd t|t	|
t j d S )Nrh   r9   ri   rj   )ri   r$   r   float16r
   r   r3   r   rl   r   rB   r5   r   )r]   rP   r(   r-   r-   r.   test_1_argument_real   s
   z#TestFloat16FFT.test_1_argument_realc                 C   s   t jg dt jd}t jg dt jd}t||gdd}t|jt j t|jd t|d t	|
t j t|d t	|
t j d S rg   r   rm   r-   r-   r.   ro      s   z#TestFloat16FFT.test_n_argument_realN)r   r   r   r   ro   r-   r-   r-   r.   r      s    r   c                   @   sL   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dS )_TestIFFTBasec                 C      t jd d S rX   r$   r1   r[   r\   r-   r-   r.   r^         z_TestIFFTBase.setup_methodc                 C   sb   t g d| j}t|}t|}t|j| j t|| t g d| j}tt|t| d S )Nr_   rb   )r$   r   rZ   r	   rC   r   r3   r   rd   r-   r-   r.   rf      s   
z_TestIFFTBase.test_definitionc                 C   sr   t g d| j}t|}t|j| j t|}t|| t jg d| jd}t|j| j tt|t| d S )NrL   r    r`   ri   rL   r    r`   ri   rL   r    r`   ri   rc   r9   )	r$   r   r+   r	   r   r3   rZ   rC   r   rd   r-   r-   r.   test_definition_real   s   
z"_TestIFFTBase.test_definition_realc                 C   sz   t ddD ]5}d| }t|}t|| j}tj|| j}t||| j	| j
d t|}t||| j	| j
d qd S )Nr    rs   )r)   atol)r=   r$   r   r	   r5   rZ   ru   r
   r   r)   r   rv   r-   r-   r.   rx      s   
z_TestIFFTBase.test_djbfftc                 C   s   dD ]<}t |g| j}t |g| jd|  }tt|}tt|}t|j| j t|j| j t|| t|| qd S )N	rL   3   o   d      @         i                 ?)r1   r5   rZ   r	   r
   r   r3   r   r]   r*   r'   re   rw   r-   r-   r.   test_random_complex   s   
z!_TestIFFTBase.test_random_complexc                 C   sh   dD ]/}t |g| j}tt|}tt|}t|j| j t|j| j t|| t|| qd S )Nr   )	r1   r5   r+   r	   r
   r   r3   rZ   r   r   r-   r-   r.   test_random_real   s   
z_TestIFFTBase.test_random_realc                 C   s   t t D ]`}tjd tj|| j}tt	|}t
||| j|| j t	t|}t
||| j|| j |dtj|  | j}tt	|}t
||| j|| j t	t|}t
||| j|| j qd S NrY   r   )LARGE_COMPOSITE_SIZESLARGE_PRIME_SIZESr$   r1   r[   r   r5   r+   r	   r
   r/   r)   rZ   )r]   r*   r'   r(   r-   r-   r.   test_size_accuracy   s   z _TestIFFTBase.test_size_accuracyc                 C   ry   rz   )r|   r}   r	   r\   r-   r-   r.   r~     r   z _TestIFFTBase.test_invalid_sizesN)r   r   r   r^   rf   r   rx   r   r   r   r~   r-   r-   r-   r.   r      s    


r   z Long double is aliased to double)reasonc                   @   r   )TestLongDoubleIFFTc                 C       t j| _t j| _d| _d| _d S N绽|=)r$   r   rZ   r   r+   r)   r   r\   r-   r-   r.   r^        
zTestLongDoubleIFFT.setup_methodNr   r-   r-   r-   r.   r         r   c                   @   r   )TestDoubleIFFTc                 C   r   r   )r$   
complex128rZ   r   r+   r)   r   r\   r-   r-   r.   r^     r   zTestDoubleIFFT.setup_methodNr   r-   r-   r-   r.   r     r   r   c                   @   r   )TestSingleIFFTc                 C   s    t j| _t j| _d| _d| _d S )Nh㈵>g-C6?)r$   r   rZ   r   r+   r)   r   r\   r-   r-   r.   r^   #  r   zTestSingleIFFT.setup_methodNr   r-   r-   r-   r.   r   "  r   r   c                   @   sJ   e Zd Zdd Zdd Zdd Zdd Zd	d
 ZG dd dZdd Z	dS )_TestRFFTBasec                 C   r   rX   r   r\   r-   r-   r.   r^   +  r   z_TestRFFTBase.setup_methodc                 C   sR   g dg dfD ]}t j|| jd}t|}t|}t|| t|j| j qd S )Nr   )	rL   r    r`   ri   rL   r    r`   ri   rc   r9   )	r$   r   r+   r   rM   r   r   r3   rZ   )r]   tr'   r(   re   r-   r-   r.   rf   .  s   
z_TestRFFTBase.test_definitionc                 C   sD   t ddD ]}d| }t|}tj|}t|}t|| qd S rr   )r=   r$   r   r
   r   r   r]   rA   r?   r'   re   r(   r-   r-   r.   rx   6  s   
z_TestRFFTBase.test_djbfftc                 C   ry   rz   )r|   r}   r   r\   r-   r-   r.   r~   >  r   z _TestRFFTBase.test_invalid_sizesc                 C   sJ   t jd| jd}ttdd t| W d    d S 1 sw   Y  d S )N
   r9   x must be a real sequencematch)r$   r   rZ   r|   	TypeErrorr   r]   r'   r-   r-   r.   test_complex_inputB  s   
"z _TestRFFTBase.test_complex_inputc                   @   r   )z_TestRFFTBase.MockSeriesc                 C   s   t || _d S r0   )r$   r   datar]   r   r-   r-   r.   __init__I  r   z!_TestRFFTBase.MockSeries.__init__c              
   C   s:   zt | j|W S  ty } z	td| d|d }~ww )Nz&'MockSeries' object has no attribute '')getattrr   AttributeError)r]   itemer-   r-   r.   __getattr__L  s   z$_TestRFFTBase.MockSeries.__getattr__N)r   r   r   r   r   r-   r-   r-   r.   
MockSeriesH  s    r   c                 C   sB   t g d}t|}g d}t| t|| t|j| d S )N)g      ?g       @g      @g      @g      @r   )r$   r   r   r   r   r   r   )r]   r'   xsexpectedr-   r-   r.   test_non_ndarray_with_dtypeS  s   

z)_TestRFFTBase.test_non_ndarray_with_dtypeN)
r   r   r   r^   rf   rx   r~   r   r   r   r-   r-   r-   r.   r   *  s    r   c                   @   r   )TestRFFTLongDoublec                 C   r   r0   r   r\   r-   r-   r.   r^   a  r   zTestRFFTLongDouble.setup_methodNr   r-   r-   r-   r.   r   ^  r   r   c                   @   r   )TestRFFTDoublec                 C   r   r0   )r$   r   rZ   r   r+   r\   r-   r-   r.   r^   g  r   zTestRFFTDouble.setup_methodNr   r-   r-   r-   r.   r   f  r   r   c                   @   r   )TestRFFTSinglec                 C   r   r0   r   r\   r-   r-   r.   r^   m  r   zTestRFFTSingle.setup_methodNr   r-   r-   r-   r.   r   l  r   r   c                   @   rV   )_TestIRFFTBasec                 C   r   rX   r   r\   r-   r-   r.   r^   s  r   z_TestIRFFTBase.setup_methodc                    sT   g d}g d}|d d }g d}|d d } fdd}||| ||| d S )N)rL          @      @ra   y      ?       @y      @      @)rL   r   ra   r   ri          @            @      r   rc   )	rL   r   ra   r   y      @      @y      @      r   r   r   c                    s`   t tj|  jdt|d}t| t|}t|j j t	|| j
d t	|t| j
d d S )Nr9   rj   )decimal)r   r$   r   rZ   r<   rQ   r   r3   r+   r   ndecr	   )r'   xrr(   re   r\   r-   r.   _test}  s
   z-_TestIRFFTBase.test_definition.<locals>._testr-   )r]   rP   x1_1x2_1rn   r   r-   r\   r.   rf   v  s   
z_TestIRFFTBase.test_definitionc                 C   s   t ddD ]:}d| }td|ddtd|d d  }d|d< |d dkr0t|d |d< tj|}t|}t|| qd S )Nr    rs   r   r   rL   )r=   r$   r   rO   r
   r   r   r   r-   r-   r.   rx     s   $z_TestIRFFTBase.test_djbfftc                 C   s   dD ]C}t |g| j}tt||d}tt||d d d}t|j| j t|j| j t||| j	d| d t||| j	d| d qd S )Nr   rj   r    rL   zsize=%d)r   r,   )
r1   r5   r+   r   r   r   r3   rZ   r   r   r   r-   r-   r.   r     s   

z_TestIRFFTBase.test_random_realc                 C   s   | j tjkr	d}n| j tjkrd}tt D ]:}tjd tj|	| j }t
t|t|}t||||| j  tt
|dt| d }t||||| j  qd S )Nr   r   rY   r    rL   )r+   r$   r   r   r   r   r1   r[   r   r5   r   r   r<   r/   )r]   r)   r*   r'   r(   r-   r-   r.   r     s   z!_TestIRFFTBase.test_size_accuracyc                 C   ry   rz   )r|   r}   r   r\   r-   r-   r.   r~     r   z!_TestIRFFTBase.test_invalid_sizesN)	r   r   r   r^   rf   rx   r   r   r~   r-   r-   r-   r.   r   r  s    r   c                   @   r   )TestIRFFTLongDoublec                 C      t j| _t j| _d| _d S Nrs   r$   r   rZ   r   r+   r   r\   r-   r-   r.   r^        
z TestIRFFTLongDouble.setup_methodNr   r-   r-   r-   r.   r     r   r   c                   @   r   )TestIRFFTDoublec                 C   r   r   r   r\   r-   r-   r.   r^     r   zTestIRFFTDouble.setup_methodNr   r-   r-   r-   r.   r     r   r   c                   @   r   )TestIRFFTSinglec                 C   r   )Nrc   )r$   r   rZ   r   r+   r   r\   r-   r-   r.   r^     r   zTestIRFFTSingle.setup_methodNr   r-   r-   r-   r.   r     r   r   c                   @   s   e Zd Zdd Zdd Zejdee	 dd Z
ejdee dd	 Zd
d Zejdee	 dd Zejdee dd ZdS )TestFftnSinglec                 C   r   rX   r   r\   r-   r-   r.   r^     r   zTestFftnSingle.setup_methodc                 C   s\   g dg dg dg}t t|tj}t|jtjkdd tt |tj}t|| d S )NrL   r    r`   ri   rc            	   z-double precision output with single precision)msg)r   r$   r   r   r   r3   r   r   r]   r'   r(   y_rr-   r-   r.   rf     s   zTestFftnSingle.test_definitionr*   c                 C   v   t jd}|||fd|||f  }t|jt j}t|jt jt j}t	|j
t j t||d d S )NrY   r     r$   r1   default_rngr   rO   r5   r   r   r   r   r3   r   r]   r*   rngr'   re   rw   r-   r-   r.   test_size_accuracy_small      z'TestFftnSingle.test_size_accuracy_smallc                 C   v   t jd}||dfd||df  }t|jt j}t|jt jt j}t	|j
t j t||d d S )NrY   r`   r   r   r   r   r-   r-   r.   test_size_accuracy_large  r   z'TestFftnSingle.test_size_accuracy_largec                 C   sV   g dg dg dg}t t|tj}t|jtj tt |tj}t|| d S )Nr   r   r   )r   r$   r   r   r   r3   r   r   r   r-   r-   r.   test_definition_float16  s   z&TestFftnSingle.test_definition_float16c                 C   r   )NrY   r   g    Ar$   r1   r   r   rO   r5   r   r   r   r   r3   r   r   r-   r-   r.   test_float16_input_small  r   z'TestFftnSingle.test_float16_input_smallc                 C   r   )NrY   r`   r   g    >Ar   r   r-   r-   r.   test_float16_input_large  r   z'TestFftnSingle.test_float16_input_largeN)r   r   r   r^   rf   pytestmarkparametrizeSMALL_COMPOSITE_SIZESSMALL_PRIME_SIZESr   r   r   r   r   r   r   r-   r-   r-   r.   r     s    
	
		
	r   c                   @   s\   e Z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S )TestFftnc                 C   r   rX   r   r\   r-   r-   r.   r^     r   zTestFftn.setup_methodc                 C   sd   g dg dg dg}t |}t|t| td}tt |t| td}tt |t| d S )Nr   r   r         rc   ri   r`   r  )r   r   rI   r1   r]   r'   r(   r-   r-   r.   rf     s   zTestFftn.test_definitionc              	   C   s  g dg dg dg}g dg dg dg}g dg dg d	g}g dg dg dg}g dg dg dg}g dg dg d	g}g d
g dg dg}g dg dg dg}g dg dg dg}	g dg dg dg}
g dg dg dg}g dg dg dg}g dg dg dg}g dg dg dg}g dg dg dg}g d
g dg dg}g dg dg dg}g dg dg dg}|||	g}|
||g}|||g}|||g}|||g}t |||g}tt|t|dd tt|t|dd tt|ddt|d d t|d!d}tt|d"d#t| t|d$d}ttt|d"d#d"d%t| t|d&d}ttt|d"d#d#d%t| t|d'd}tt|d%d#t| t|d(d}tt|d%d"t| t|d)d}tt||d*  tt||d+  tt||d,  t|d-d}tt||d*  tt||d+  tt||d,  t|d.d}tt|d d d d d*f |d d d d d*f  tt|d d d d d+f |d d d d d+f  tt|d d d d d,f |d d d d d,f  t|d/d}tt|d d d*d d f |d d d*d d f  tt|d d d+d d f |d d d+d d f  tt|d d d,d d f |d d d,d d f  t|d0d}tt|t|d* d%d" tt|t|d+ d%d" tt|t|d, d%d" t|d1d}tt|t|d d d*d d f d"d% tt|t|d d d+d d f d"d% tt|t|d d d,d d f d"d% t|d2d}tt|t|d d d d d*f d"d% tt|t|d d d d d+f d"d% tt|	t|d d d d d,f d"d% t|d3d}td4D ] }td4D ]}tt|||d d f |||d d f  qqt|d5d}td4D ] }td4D ]}tt||d d |f ||d d |f  q6q0t|d6d}td4D ] }td4D ]}tt|d d ||f |d d ||f  qaq[t|d7d}t|| d S )8Nr   r   r   )r         )   rs      )         )   r     )         )   r     )rL   r   r  )ri   r  r  )r   r  r  )r    r
  r  )rc   rs   r  )r   r  r  )r`   r  r  )r   r  r  )r   r  r  )rL   ri   r   )r   r  r  )r  r  r  )r    rc   r   )r
  rs   r  )r  r  r  )r`   r   r   )r  r  r  )r  r  r  )r   rR   r   rL   r    )r   r    )r   r   )r    rL   r   r   r  )r    r   rL   r  )rL   r    r   )rL   r   r    )r   r    rL   r  r   r   rL   r    rL   r    r  r  )r  r   r   r  )r   r  )r  r  r   r`   r  r   r-   )r   r   r   r   r=   r
   )r]   plane1plane2plane3	ki_plane1	ki_plane2	ki_plane3	jk_plane1	jk_plane2	jk_plane3	kj_plane1	kj_plane2	kj_plane3	ij_plane1	ij_plane2	ij_plane3	ik_plane1	ik_plane2	ik_plane3	ijk_space	ikj_space	jik_space	jki_space	kij_spacer'   r(   rA   jr-   r-   r.   test_axes_argument  s.  





222222...zTestFftn.test_axes_argumentc                 C   sl   g dg dg}g dg dg dg dg}t |dd}t|t | t |dd}t|t |d d	  d S )
Nr   r   rL   r    r`   r   ri   rc   r   r   r   r   r   r   ri   ri   s)r`   ri   r   )r   r   r]   small_xlarge_x1r(   r-   r-   r.   test_shape_argument  s   zTestFftn.test_shape_argumentc                 C   s   g dg dg dg}t g dg dg dg dg}t|dd	d
}t|t| t|ddd
}t|ttt|dddd d S )Nr   r   r   r;  r<  )r   r   r   r   r=  r>  r  r@  rS   r  r   r  )r   r   r   r   rA  r-   r-   r.   test_shape_axes_argument  s   
z!TestFftn.test_shape_axes_argumentc                 C   s   t jd}t|ddd}t|t|ddd t jd}t|ddd}t|t|d	dd t jd
}t|ddd}t|t jj|ddd d S )N)r   rc   r`   r   r  )r   )rS   r@  r   r   )rF   r?   r   r  ri   ri   r    r  r   r   )ru   r1   r   r   r
   r	  r-   r-   r.   test_shape_axes_argument2  s   z"TestFftn.test_shape_axes_argument2c                 C   sF   t d}ttdd t|dd W d    d S 1 sw   Y  d S )NrG  z)shape requires more axes than are presentr   )r   r   r    rL   r?  )r   r|   r}   r   r   r-   r-   r.   test_shape_argument_more  s   "z!TestFftn.test_shape_argument_morec                 C   ~   t tdd tg g W d    n1 sw   Y  t tdd tddgddggd W d    d S 1 s8w   Y  d S Nz4invalid number of data points \(\[1, 0\]\) specifiedr   z5invalid number of data points \(\[4, -3\]\) specifiedrL   r    )ri   r  )r|   r}   r   r\   r-   r-   r.   r~        "zTestFftn.test_invalid_sizesc                 C   &   t jd}tt|g d|dd d S N)r    r    r    rR   gHz>r   )ru   r1   r   r   r   r-   r-   r.   test_no_axes     zTestFftn.test_no_axesc                 C   s8   t d}t|ddd}t jj|ddd}t|| dS )z-FFT returns wrong result with axes parameter.rG  rH  r  rE  N)ru   onesr   r
   r   r   r-   r-   r.   test_regression_244  s   
zTestFftn.test_regression_244N)r   r   r   r^   rf   r:  rD  rF  rI  rJ  r~   rQ  rT  r-   r-   r-   r.   r    s     r  c                   @   s   e Zd ZdZdZdd Zejde	j
e	jdfe	je	jdfgdd Zejd	ddgejd
g ddd Zdd Zdd ZdS )	TestIfftnNc                 C   r   rX   r   r\   r-   r-   r.   r^     r   zTestIfftn.setup_methoddtype,cdtype,maxnlpr     c                 C      t jd}t jg dg dg dg|d}t|}t|j| t|t|| |d}tt|t|| |d}tt|t|| d S NrY   r   r   r   r9   r  r  )	r$   r1   r   r   r   r   r3   r   rK   r]   r3   cdtypemaxnlpr   r'   r(   r-   r-   r.   rf        


zTestIfftn.test_definitionr\  r*   rL   r    r       r   \   c                 C   sX   t jd}|||gd|||g  }ttt||| ttt||| d S r   )r$   r1   r   r   r   r   )r]   r\  r*   r   r'   r-   r-   r.   r   	  s    zTestIfftn.test_random_complexc                 C   rK  rL  )r|   r}   r   r\   r-   r-   r.   r~     rM  zTestIfftn.test_invalid_sizesc                 C   rN  rO  )ru   r1   r   r   r   r-   r-   r.   rQ    rR  zTestIfftn.test_no_axes)r   r   r   r3   r[  r^   r   r   r  r$   r   r   r   r   rf   r   r~   rQ  r-   r-   r-   r.   rU    s    
rU  c                   @   s   e Zd ZdZdZdd Zejde	j
e	jdfe	je	jdfgdd Zejd	g d
dd Zejdeegdd Zejdeegdd Zdd ZdS )	TestRfftnNc                 C   r   rX   r   r\   r-   r-   r.   r^   $  r   zTestRfftn.setup_methodrV  r   rW  c                 C   rX  rY  )	r$   r1   r   r   r   r   r3   r   rU   rZ  r-   r-   r.   rf   '  r]  zTestRfftn.test_definitionr*   r^  c                 C   s8   t jd}|||g}ttt||j|dd d S )NrY   r   rP  )r$   r1   r   r   r   r   rl   )r]   r*   r   r'   r-   r-   r.   test_random9  s   zTestRfftn.test_randomfuncc                 C   s~   t tdd |g g W d    n1 sw   Y  t tdd |ddgddggd W d    d S 1 s8w   Y  d S rL  r|   r}   r]   rc  r-   r-   r.   r~   ?  s   "zTestRfftn.test_invalid_sizesc                 C   s>   t tdd |g g d W d    d S 1 sw   Y  d S )Nz#at least 1 axis must be transformedr   rR   rd  re  r-   r-   r.   rQ  K  s
   "zTestRfftn.test_no_axesc                 C   sF   t tdd ttjdtjd W d    d S 1 sw   Y  d S )Nr   r   r   r9   )r|   r   r   r$   r   r   r\   r-   r-   r.   r   Q  s   "zTestRfftn.test_complex_input)r   r   r   r3   r[  r^   r   r   r  r$   r   r   r   r   rf   rb  r   r   r~   rQ  r   r-   r-   r-   r.   ra     s"    



ra  c                   @   r   )	FakeArrayc                 C   s   || _ |j| _d S r0   )_data__array_interface__r   r-   r-   r.   r   W  s   zFakeArray.__init__N)r   r   r   r   r-   r-   r-   r.   rf  V  r   rf  c                   @   s   e Zd Zdd ZdddZdS )
FakeArray2c                 C   s
   || _ d S r0   rg  r   r-   r-   r.   r   ]  s   
zFakeArray2.__init__Nc                 C   s   | j S r0   rj  )r]   r3   copyr-   r-   r.   	__array__`  s   zFakeArray2.__array__)NN)r   r   r   r   rl  r-   r-   r-   r.   ri  \  s    ri  c                   @   s  e Zd ZdZejejejgZeej	ej
ejg Zg dZdd Zdd Zejdeejdeejd	d
dgejdg ddd Zejdeejdeejd	d
dgejdg ddd Zdd Zejdeejd	d
dgejdg ddd ZdS )TestOverwritez4Check input overwrite behavior of the FFT functions.)r   r  r_  c           
      C   sx   |  }dd ttfD ].}||||||d |j d|j |jd|d|d|d}	|s9t||d	|	 d
 qd S )Nc                 S   s   | S r0   r-   rT   r-   r-   r.   <lambda>n  s    z&TestOverwrite._check.<locals>.<lambda>)overwrite_x(z, z, axis=z, overwrite_x=)zspurious overwrite in )r,   )rk  rf  ri  r   r3   rl   r   )
r]   r'   routinefftsizerF   ro  should_overwritern   fakesigr-   r-   r.   _checkl  s   zTestOverwrite._checkc           
      C   s   t jd t |t jrt jj| dt jj|   }nt jj| }||}|o2||v o2||| k}	| j||||||	d d S )NrY   r   ro  rt  )r$   r1   r[   
issubdtypecomplexfloatingrandnr5   rw  )
r]   rr  r3   rl   rF   overwritable_dtypesrs  ro  r   rt  r-   r-   r.   	_check_1dv  s   


zTestOverwrite._check_1dr3   rs  ro  TFz
shape,axes))r  r   )r  r    r   )r    r  rL   c              	   C   s@   t jt jt jf}| t|||||| | t|||||| d S r0   )r$   r   r   r   r}  r
   r	   r]   r3   rs  ro  rl   rS   overwritabler-   r-   r.   test_fft_ifft  s   zTestOverwrite.test_fft_ifftc              	   C   s6   | j }| t|||||| | t|||||| d S r0   )real_dtypesr}  r   r   r  r-   r-   r.   test_rfft_irfft  s   zTestOverwrite.test_rfft_irfftc           
         s   t jd t  t jrt jj| dt jj|   }nt jj| }| }fdddd  fdd}||D ]'}	| j|||	||||	|d	 |jd
krh| j|j	||	|||j	|	|d	 qAd S )NrY   r   c                 3   sb    t | dkrdV  d S | d d | d | d d fD ]} | dd  D ]}|f| V  q%qd S )Nr   r-   r    rL   )r<   )shpr9  rest)fftshape_iterr-   r.   r    s   
"z2TestOverwrite._check_nd_one.<locals>.fftshape_iterc                 S   s   |d u r| S t t| |S r0   )tupler$   take)rl   rS   r-   r-   r.   
part_shape  s   z/TestOverwrite._check_nd_one.<locals>.part_shapec                    s,   | j |}ot|t|ko v S r0   )rl   r$   prod)r   rl   rS   r@  )r3   r|  ro  r  r-   r.   rt    s   z5TestOverwrite._check_nd_one.<locals>.should_overwriterx  rL   )
r$   r1   r[   ry  rz  r{  r5   rw  rG   T)
r]   rr  r3   rl   rS   r|  ro  r   rt  fftshaper-   )r3   r  r|  ro  r  r.   _check_nd_one  s,   


zTestOverwrite._check_nd_one))r~  N)r~  r!  )r  r!  )r  rL   )r   r  N)r  r   rL   )r   r  r    r  )r  r  )r  r!  )r  r  )r  )r    )r  N)r  r  c                 C   s<   t jt jt jf}| t||||| | t||||| d S r0   )r$   r   r   r   r  r   r   )r]   r3   ro  rl   rS   r  r-   r-   r.   test_fftn_ifftn  s   zTestOverwrite.test_fftn_ifftnN)r   r   r   __doc__r$   r   r   r   r  r   r   r   dtypesfftsizesrw  r}  r   r   r  r  r  r  r  r-   r-   r-   r.   rm  e  s,    
(rm  rc  c                 C   sL   t jdtd}ttdd | |dd W d    d S 1 sw   Y  d S )Nr   r9   zBInvalid norm value 'o', should be "backward", "ortho" or "forward"r   o)r&   )r$   r   floatr|   r}   )rc  r'   r-   r-   r.   test_invalid_norm  s   "r  c                 C   s>   t jd}|dd|d  }t| t|| | d S )NrY   r   r   r$   r1   RandomStater   r   r7   rc  r   r'   r-   r-   r.   test_swapped_byte_order_complex  s   r  c                 C   s0   t jd}|d}t| t|| | d S )NrY   r   r  r  r-   r-   r.   test_swapped_byte_order_real  s   
r  )Snumpy.testingr   r   r   r   r   r   r   r   r|   scipy.fft._pocketfftr	   r
   r   r   r   r   r   r   r   r   r   r   ru   r   r   r   r   r   r   r   r   r   r$   	numpy.fftnumpy.randomr   r   r  r   r  r/   r1   r7   rB   rC   rI   rK   rM   rQ   rU   rW   r   r   r   r   r   r   skipifr   r   r   r   r   r   r   r   r   r   r   r   r   r   r  rU  ra  rf  ri  rm  r  r  r  r  r-   r-   r-   r.   <module>   s    8,



0M4CA d06	z

