
    9i                         S SK rS SKrS SKJr  S SKJr   " S S5      r\R                  R                  S5      S 5       rg)    N)assert_allclosec                       \ rS rSr\R
                  R                  S 5       r\R
                  R                  S/ SQ5      \R
                  R                  S/ SQ5      S 5       5       r	Sr
g	)
TestSphHarm   c                    SnSn[         R                  " S[         R                  5      n[         R                  " SS[         R                  -  5      n[         R                  " X45      u  p4[        R
                  " X!X4SS9u  pVn[        R                  " X!USS9u  pn
[         R                  " [         R                  " US-   5      [         R                  " U* S5      /5      n[         R                  " US[        [        SUR                  S-   5      5      -   S9n[        XX[         R                  " S	U-  U-  5      -  5        [        US
   U	[         R                  " S	U-  U-  5      -  5        [        US   S	U-  U-  [         R                  " S	U-  U-  5      -  5        [        US   U
[         R                  " S	U-  U-  5      -  5        [        US   S	U-  U	-  [         R                  " S	U-  U-  5      -  5        [        US   US   5        [        US   U* U-  U-  [         R                  " S	U-  U-  5      -  5        g )N   
   r      )diff_n   r   axis              ?).r   ).r   ).r   r   ).r   r   ).r   r   ).r   r   )nplinspacepimeshgridscsph_harm_y_allsph_legendre_p_allconcatenatearangeexpand_dimstuplerangendimr   exp)selfm_maxn_maxthetaphiyy_jacy_hesspp_jacp_hessms               a/var/www/html/land-doc-ocr/venv/lib/python3.13/site-packages/scipy/special/tests/test_sph_harm.pytest_pTestSphHarm.test_p   s   Aruu%kk!QruuW%[[,
,,U5aP&00uQO&NNBIIeai0"))UFA2FGHNN14eAejjl.C(D#DErvvb1fsl334furvvb1fsl/C'CDfrAvzBFF26C<4H'HIy)6BFF26C<4H+HIy)26E>BFF26C<<P+PQy)6)+<=y)A26A:rAv|8L+LM    r!   )r   r	   2   r    )r         	      c                    [         R                  " S[         R                  5      n[         R                  " SS[         R                  -  5      n[         R                  " US-   5      n[         R                  " U[        [        SUR                  S-   5      5      S9n[         R                  " [         R                  " US-   5      [         R                  " U* S5      /5      n[         R                  " US[        [        SUR                  S-   5      5      -   S9n[        R                  " XX45      n[        R                  " XVX45      n[         R                  R                  XxSS9  g )Nr   r
   r   r   r   gh㈵>)rtol)r   r   r   r   r   r   r   r   r   r   r   
sph_harm_ytestingr   )	r   r!   r    r"   r#   nr*   y_actual	y_desireds	            r+   test_allTestSphHarm.test_all!   s     Aruu%kk!QY'IIeai NN15qA)>#?@NNBIIeai0"))UFA2FGHNN14eAejjl.C(D#DE$$U5>MM!3	


""8U"Cr.    N)__name__
__module____qualname____firstlineno__pytestmarkslowr,   parametrizer;   __static_attributes__r=   r.   r+   r   r      sa    [[N N0 [[Wk2[[W&67D 8 3Dr.   r   zignore::DeprecationWarningc                     S n S nS nS nXX#/n/ SQn/ SQn[         R                  " SS[         R                  -  5      n[         R                  " S[         R                  5      n[         R                  " Xx5      u  px[	        XEU5       H5  u  pn[        [        R                  " XVXx5      U	" Xx5      S	S	S
U SU S3S9  M7     g )Nc                 V    S[         R                  " S[         R                  -  5      -  $ )N      ?r   )r   sqrtr   r"   r#   s     r+   Y00!test_first_harmonics.<locals>.Y00=   s    2771RUU7###r.   c                     S[         R                  " SS[         R                  -  -  5      -  [         R                  " SU -  5      -  [         R                  " U5      -  $ )NrI      r
   y             r   rJ   r   r   sinrK   s     r+   Yn11"test_first_harmonics.<locals>.Yn11@   sA    2771ag;''s5y(99"&&+EEr.   c                     S[         R                  " S[         R                  -  5      -  [         R                  " U5      -  $ )NrI   rO   )r   rJ   r   cosrK   s     r+   Y01!test_first_harmonics.<locals>.Y01C   s+    2771RUU7##BFF3K//r.   c                     S[         R                  " SS[         R                  -  -  5      -  [         R                  " SU -  5      -  [         R                  " U5      -  $ )Ng      rO   r
   r   rP   rK   s     r+   Y11!test_first_harmonics.<locals>.Y11F   sA    BGGAqwK((5)99"&&+EEr.   )r   r   r   )r   r   r   r   r   r
   gV瞯<zY^_z
 incorrect)r5   atolerr_msg)r   r   r   r   zipr   r   sph_harm)
rL   rR   rV   rY   harmsr*   r8   r"   r#   harms
             r+   test_first_harmonicsrc   2   s    $F0F !EAAKK1RUU7#E
++a
CU(JE%A&
A%5U(""$QCq: 6	8 'r.   )numpyr   rB   numpy.testingr   scipy.specialspecialr   r   rC   filterwarningsrc   r=   r.   r+   <module>ri      sB      ) )D )DV 89"8 :"8r.   