
    Џkh                        d dl Z d dlZd dlZd dlZd dlmZmZmZ d dl	m
Z
 d dlmZmZ ej                  j                  Zd Zej                  j#                  dddg      ej                  j#                  d	g d
      ej                  j#                  dg d      ej                  j#                  dddg      d                             Zej                  j&                  d        Zej                  j#                  dddg      d        Z edd      ej                  j#                  deeg      d               Zej                  j#                  dddg      d        Zy)    N)fhtifht	fhtoffset)poch)xp_assert_closexp_assert_lessc                     d }t        j                  ddd      }t        j                  |d   |d   z        }d}d}d}| j	                   |||            }t        |||||	      }g d
}	| j	                  |	| j                        }	t        ||	       t        |||      }t        |||||	      }g d}	| j	                  |	| j                        }	t        ||	       d}t        |||      }t        |      }t        |||||	      }g d}	| j	                  |	| j                        }	t        ||	       d}t        |||      }t        |      }t        |||||	      }g d}	| j	                  |	| j                        }	t        ||	       y )Nc                 L    | |dz   z  t        j                  | dz   dz        z  S N      )npexp)rmus     W/var/www/teggl/fontify/venv/lib/python3.12/site-packages/scipy/fft/tests/test_fftlog.pyfz&test_fht_agrees_with_fftlog.<locals>.f   s'    2a4yAa((          r   r   g333333?        offsetbias)g=lSgl1Z?gpR_g~]
o?g0d@?g?g02u?g7c4Uo?gU/5?gޠ3JgQiIg!m9?g 1g?Jb7?g tj3Bg 	'K?dtyper   )g Dy?g TIg 94?gB M?gQ89w?gĥ?gZT3%?gz;_x?g9%P?gv@݆gAAY]?gayig;gGI<!?g F\mgH ?g @(LGg?)gU_g0E>y7?g4⬞	F?gR^ء*9g-g?g!a?gR޴ ?gmMUU?g .?g'?eHgZ7ZP?gmܷ`%gCGT?g2Tg҅u>g/&g)gG3>g`4]<]?g[8+?g,8GdP?g
u?g,ח$5?g~}?gra,4?gV?gh`>EgDgyٖ?gP2ZSg͆˝?gܺJ?g[U+@g"%@)
r   logspacemathlogasarrayr   float64r   r   float)
xpr   r   dlnr   r   r   aourstheirss
             r   test_fht_agrees_with_fftlogr*      s   ) 	B2A
((1Q4!9
C	BFD


1Q8A q#r&t4D@F ZZbjjZ1FD&! sBT*Fq#r&t4D@F ZZbjjZ1FD&! DsBT*F 6]Fq#r&t4D@F ZZbjjZ1FD&! DsBT*F6]Fq#r&t4D@F ZZbjjZ1FD&!r   optimalTFr   )r         ?g      r   )r   g?gn@   ?   c                 ^   t         j                  j                  d      }|j                  |j	                  |             }|j                  dd      }|j                  dd      }|rt        ||||      }t        |      }t        |||||      }	t        |	||||      }
t        |
|d	       y )
N   E3  r   r   initialr   r   gv!>)rtol)r   randomRandomStater"   standard_normaluniformr   r$   r   r   r   )r-   r   r   r+   r%   rngr'   r&   r   Aa_s              r   test_fht_identityr>   a   s    
 ))



+C


3&&q)*A
++b!
C	R	B3F> vAsBvD1A	abd	3BB'r   c                    t         j                  j                  d      }| j                  |j	                  d            }|j                  dd      }d\  }}t        j                  d      5 }t        ||||       |rJ d	       	 d d d        d
\  }}t        j                  d      5 }t        ||||       |rJ d	       	 d d d        d\  }}t        j                  t              5 }t        ||||       |sJ d       	 d d d        d
\  }}t        j                  t              5 }t        ||||       |sJ d       	 d d d        y # 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   bxY w# 1 sw Y   y xY w)Nr1   r.   r2   r   )g      r,   T)recordr   z)fht warned about a well-defined transform)g            ?)g      rA   z+fht did not warn about a singular transformz,ifht did not warn about a singular transform)r   r7   r8   r"   r9   r:   warningscatch_warningsr   pytestwarnsWarningr   )r%   r;   r'   r&   r   r   r@   s          r   test_fht_special_casesrG   z   s   
))



+C


3&&r*+A
++b!
C
 HB		 	 	- GAsBT"FFFz6G
 HB		 	 	- GAsBT"FFFz6G HB	g	 E&AsBT"DDDvE HB	g	 F&QRd#EEEvF F)G GG GE EF Fs0   -E*E*E%*E1EE"%E.1E:c                 $   t         j                  j                  d      }|j                  dd      }|j                  d|z
  d      }t        j                  dd|       }|j                  ||z        }t        j                  |d   |d   z        }t        ||d	|
      }t        |      }t        |||||      }	t        j                  |      |d d d   z  }
|j                  d|
z  |z  t        |dz   |z
  dz  |      z        }t        |	|       y )Nr1   r      r2   rA   r3   r   r   r   r4   r   )r   r7   r8   r:   r   r"   r    r!   r   r$   r   r   r   r   )r-   r%   r;   r   gammar   r'   r&   r   r<   kAts               r   test_fht_exactrM      s    
))



+C
 
Q	B KK2s#E
B1A


1e8A
((1Q4!9
CsB%8F 6]FAsBvE2A
vq2wA 
QqS5L4AeQ#>>	?BArr   z,array-likes only supported for NumPy backend)np_onlyreasonopc                     ddgddggddgddggddgddggg}t         ||dd       || j                  |      dd             y )Nr,   g       @)r   r"   )r%   rP   xs      r   test_array_likerS      s`     *sCj	!*sCj	!*sCj	!	#A Bq#sOR

1sC%@Ar         c                 >     j                  d      }d}t        j                  dd|      }t        j                  |d   |d   z        }t        |dt        j                  d      z  |      } j                  ||j                  	      }t        j                  |       j                  |d
      z  } fd} |||      }	t        |	|||      }
 |||      } j                   j                  |
|z
  |z              }t        | j                  d      d          y )Nr,   r   ir   r   i
   )r5   r   r   r2   )axisc                 F    | |dz   z  j                  | dz   dz        z  S r   )r   )rR   r   r%   s     r   r   ztest_gh_21661.<locals>.f   s(    26{2661a4%'?**r   )r   r   g `m3*pC )r"   r   r   r    r!   r   r   r   flipr   maxabsr   )r%   r-   oner   r   r&   r   rK   r   a_rfht_vala_krel_errs   `            r   test_gh_21661rc      s    
**S/C	B
B1A
((1Q4!A$;
CsBO;F


1CII
&A277127..A+ Ar(C#sr&1G
Ar(CffRVVWs]c123G7BJJx045r   )rB   r    numpyr   rD   scipy.fft._fftlogr   r   r   scipy.specialr   scipy._lib._array_apir   r   markskip_xp_backendsr*   parametrizer>   thread_unsaferG   rM   rS   rc   rZ   r   r   <module>rl      s_       2 2  A;;// O"d T5M2#340r2h'( ( 1 5 3(*  F  FF r2h' (< $GIT{+B ,IB sCj)6 *6r   