
    doin                     
   S SK rS SKrS SKrS SKrS SKJrJrJ	r	J
r
JrJrJrJrJrJrJrJrJrJrJrJrJrJrJrJrJrJrJrJrJrJ r J!r!J"r"J#r#J$r$J%r%J&r&J'r'J(r(J)r)J*r*J+r+J,r,J-r-J.r.J/r/J0r0J1r1J2r2J3r3J4r4J5r5J6r6J7r7J8r8J9r9J:r:J;r;J<r<J=r=J>r>J?r?J@r@JArAJBrBJCrCJDrDJErEJFrFJGrGJHrHJIrIJJrJJKrKJLrLJMrMJNrNJOrOJPrPJQrQ  S SKRJSrS  S SKTJUrU  \R                  R                  S5      rX\XR                  S5      rZ\R                  R                  \Z5       r\\R                  " \\5      r^SSS5        \XR                  S5      r_\R                  R                  \_5       r\\R                  " \\5      r`SSS5        \XR                  S5      ra\R                  R                  \a5       r\\R                  " \\5      rbSSS5        S	 rcS
 rdS reS rfS rgS rhS riS rjS rkS rlS rmS rnS roS rpS rqS rrS rsS rtS ruS rvS rwS rxS ryS  rzS! r{S" r|S# r}S$ r~S% rS& rS' rS( rS) rS* rS+ rS, rS- rS. rS/ rS0 rS1 rS2 r/ \c" \kS3S4S5S6S79P\c" \lS8S9S:S6S79P\c" \lS;S9S:S<S79P\c" \uS8S9S:S=S79P\c" \uS;S9S:S>S79P\c" \vS8S9S:S?S79P\c" \vS;S9S:S>S79P\c" \mS8S9S5S?S@SA9P\c" \mS;S9S5SBS@SA9P\c" \nS8S9S5S?S@SA9P\c" \nS;S9S5SBS@SA9P\c" \%SCS9S:SDS79P\c" \%SCS9S:SDS79P\c" \%SES9S:SFS79P\c" \&SGS4SHSIS79P\c" \&SJS4SHSFS79P\c" \&SKS4SHS?S79P\c" \&SLS4SHSMS79P\c" \'SNS4S5SOS79P\c" \;SPSQS5SRS79P\c" \}SPSQSSSRS79P\c" \<SPSTSHSRS79P\c" \~SPSTSUSRS79P\c" \SVS9S:SDS79P\c" \SWS9S:SFS79P\c" \:SXSQS5SRS79P\c" \|SXSQSSSRS79P\c" \BSYSQS5SZS79P\c" \SYSQSSSZS79P\c" \CS[S\S:S]S79P\c" \S[S\S5SZS79P\c" \S^S_S 5      P\c" \$S`S S_5      P\c" \$S`SaS_5      P\c" \$SbS S_S>S79P\c" \$SbSaS_SDS79P\c" \$ScS S_SdS79P\c" \$ScSaS_SdS79P\c" \$SeS S_SdS79P\c" \$SeSaS_SfS79P\c" \fSgS S_5      P\c" \gShS9S:SfS79P\c" \hSiS S_5      P\c" \iSjS9S:SfS79P\c" \3SkS S_5      P\c" \3SkSaS_SDS79P\c" \4SkS S:SIS79P\c" \3SlS S_5      P\c" \3SlSaS_5      P\c" \4SlS S:SmS79P\c" \3SnS S_5      P\c" \3SnSaS_SDS79P\c" \4SnS S:5      P\c" \5SoS S_5      P\c" \6SpS S_5      P\c" \6SqS S_Sr Ss9P\c" \7StS_S:SDS79P\c" \7StSuS:SRS79P\c" \8SvS S_SDS79P\c" \8SwS S_SDS79P\c" \8SxS S_5      P\c" \9SyS9S:5      P\c" \9SzS9S:SfS79P\c" \S{S S_5      P\c" \S|S S_5      P\c" \S}S S_5      P\c" \S~S S_5      P\c" \SS S_SS79P\c" \SS S_SmS79P\c" \S{SaS_SS79P\c" \S|SaS_SS79P\c" \S}SaS_SS79P\c" \S~SaS_SS79P\c" \SSaS_SS79P\c" \SSaS_S>S79P\c" \S{S S:SS79P\c" \S|S S:SS79P\c" \S}S S:SS79P\c" \S~S S:SS79P\c" \SS S:SS79P\c" \SS S:5      P\c" \ SS9SHSS79P\c" \ SS9SHS>S79P\c" \ SS9SHS>S79P\c" \ SS9SHSS79P\c" \SS9SHSDS79P\c" \SS9SHS>S79P\c" \SS9SHS>S79P\c" \SS9SHSS79P\c" \!SS9S5SDS79P\c" \!SS9S5S>S79P\c" \!SS9S5SmS79P\c" \!SS9S5S6S79P\c" \SS9S5SDS79P\c" \SS9S5S>S79P\c" \SS9S5SmS79P\c" \SS9S5S6S79P\c" \SS\S:SRS79P\c" \SS\S5SRS79P\c" \SS9S:S>S79P\c" \SS9S:5      P\c" \SS9S:5      P\c" \SS9S5S>S79P\c" \SS9S55      P\c" \SS9S55      P\c" \wSS9S:S?S79P\c" \xSS9S:SS79P\c" \ySS9S:SS9P\c" \zSS4S5S>S79P\c" \{SS4S5SS9P\c" \SS S_5      P\c" \SS S:5      P\c" \SS9S:SS79P\c" \SSS:SSS9P\c" \SS9S:SS79P\c" \SSS:SS79P\c" \SS9S:SS79P\c" \SSS:SSS9P\c" \SS9S:SS79P\c" \SSS:SS79P\c" \SS9S:SS79P\c" \SSS:SS79P\c" \SS9S:SS79P\c" \SSS:SS79P\c" \SS9S:SS79P\c" \SSS:SS79P\c" \SS9S:SDS79P\c" \SSS:SDS79P\c" \SS9S:S6S79P\c" \SSS:SS79P\c" \SS9S:SS79P\c" \SS9S:SS79P\c" \SSS:SS79P\c" \SS9S:SS79P\c" \SSS:SS79P\c" \SS9S:SS79P\c" \SSS:SS79P\c" \SS9S:SS79P\c" \SSS:SS79P\c" \SS9S:SS79P\c" \SS9S:SS79P\c" \SS9S:SS79P\c" \SSS:SS79P\c" \SS9S:SS79P\c" \SSS:SS79P\c" \SS9S:SZS79P\c" \SSS:SZS79P\c" \jSS S_S Ss9P\c" \jSS S_S Ss9P\c" \jSS S_S Ss9P\c" \jSS S_S Ss9P\c" \"SS9S:S6S79P\c" \"SS9S:SfS79P\c" \"SS9S:S6S79P\c" \#SS9S5SS79P\c" \#SS9S5SfS79P\c" \#SS9S5SfS79P\c" \SS9S:SSS9P\c" \SS9S:SS79P\c" \SS9S:5      P\c" \SS9S:SS9P\c" \SS9S5SIS79P\c" \SS9S55      P\c" \=SSQS5SS79P\c" \=SSQS5SSS9P\c" \SS9S:SDS79P\c" \SS9S:SS79P\c" \DSS9S:SS79P\c" \DSS9S:SS79P\c" \.SS9S:SS79P\c" \/SS4S5SS79P\c" \/SS4S5SS79P\c" \/SS4S5SS79P\c" \/SS4S5SS79P\c" \/SS4S5SS79P\c" \/SS4S5SS79P\c" \0SS4S5SS79P\c" \0SS4S5SS79P\c" \0SS4S5SS79P\c" \0SS4S5SS79P\c" \0SS4S5SS79P\c" \1SS4S5SS79P\c" \1SS4S5SS79P\c" \1SS4S5SS79P\c" \1SS4S5SS79P\c" \1SS4S5SS79P\c" \2SSSSSSS 4S9Pr\GR                  GR                  S\\S9S 5       r\d" \ESS9S:SDSDS9\d" \FSS9S5SDSDS9\d" \oSS4S5SSDS9\d" \pSS4SSSSDS9\d" \qSS4S5SSDS9\d" \rSS4SSSSDS9\d" \sSS4SHSSDS9\d" \tSS4SUSSDS9/r\GR                  GR                  S\\S9S 5       r\e" \-SS9S:5      \e" \,SS S_5      \e" \*SS9S:5      \e" \SS9SSfS79\e" \SS9SSfS79\e" \ SS9S:SS79\e" \!SS9S:S6S79\e" \NSSSUSSDS9\e" \MSSSHSSDS9\e" \QSS4S5S6S79/
r\GR                  GR                  S\\S9S 5       r\GR,                  4S jrg! , (       d  f       G	N= f! , (       d  f       G	N= f! , (       d  f       G	N[= f)    N)Klpmvlqnlqmneval_legendreeval_hermiteeval_laguerreeval_genlaguerrebinomcbrtexpm1log1pzetajnjvjvpynyvyvpivivpknkvkvpgammagammalngammainc	gammainccgammaincinvgammainccinvdigammabetabetainc
betaincinvpochellipe	ellipeincellipkellipkm1	ellipkincelliprcelliprdelliprfelliprgelliprjerferfcerfinverfcinvexp1expiexpnbdtrikbtdtriabtdtribchndtrgdtrgdtrcgdtrixgdtribnbdtrikpdtrikowens_t	mathieu_a	mathieu_bmathieu_cemmathieu_semmathieu_modcem1mathieu_modsem1mathieu_modcem2mathieu_modsem2
ellip_harmellip_harm_2spherical_jnspherical_ynwright_bessel)IntegrationWarning)FuncDatazscipy.special.tests.dataz	boost.npzzgsl.npzz	local.npzc                 T    UR                  SU5        [        U [        U   /UQ70 UD6$ Ndataname)
setdefaultrO   DATASETS_BOOSTfuncrR   akws       Y/var/www/html/land-ocr/venv/lib/python3.13/site-packages/scipy/special/tests/test_data.pydatarZ   ,   ,    MM*h'D.2=Q="==    c                 T    UR                  SU5        [        U [        U   /UQ70 UD6$ rQ   )rS   rO   DATASETS_GSLrU   s       rY   data_gslr_   1   s,    MM*h'D,x0;1;;;r\   c                 T    UR                  SU5        [        U [        U   /UQ70 UD6$ rQ   )rS   rO   DATASETS_LOCALrU   s       rY   
data_localrb   6   r[   r\   c                     [        X -  5      $ N)r'   ks    rY   ellipk_rg   ;       !#;r\   c                     [        XU-  5      $ rd   )r)   frf   s     rY   
ellipkinc_rl   ?       Q!r\   c                     [        X -  5      $ rd   )r%   re   s    rY   ellipe_ro   C   rh   r\   c                     [        XU-  5      $ rd   )r&   rj   s     rY   
ellipeinc_rq   G   rm   r\   c                     [        U S5      $ N      ?)r   )xs    rY   zeta_rv   K   s    2;r\   c                 @    [        XR                  [        5      U5      $ rd   )r   astypeint)numuru   s      rY   assoc_legendre_p_boost_r|   O   s    IIcNA&&r\   c                     [        SX5      $ Nr   )r   )rz   ru   s     rY   legendre_p_via_assoc_r   S   s    2>r\   c                 D    [        U R                  S5      U5      S   S   $ )Nlr   )r   rx   nru   s     rY   lqn_r   V   s!    qxx}a #B''r\   c                 &    [        SX5      S   S   $ )Nr   )r   r   )r   r   s     rY   legendre_q_via_lqmnr   Y   s    1=D!!r\   c                 H    [        XUS-  [        R                  -  5      S   $ N   r   )rC   nppimqru   s      rY   mathieu_ce_radr   \        qQsU255[)!,,r\   c                 H    [        XUS-  [        R                  -  5      S   $ r   )rD   r   r   r   s      rY   mathieu_se_radr   `   r   r\   c                 p    [        XU5      S   [        R                  " [        R                  S-  5      -  $ Nr      )rE   r   sqrtr   r   s      rY   mathieu_mc1_scaledr   d   s,     1#A&q)999r\   c                 p    [        XU5      S   [        R                  " [        R                  S-  5      -  $ r   )rF   r   r   r   r   s      rY   mathieu_ms1_scaledr   j   *    1#A&q)999r\   c                 p    [        XU5      S   [        R                  " [        R                  S-  5      -  $ r   )rG   r   r   r   r   s      rY   mathieu_mc2_scaledr   n   r   r\   c                 p    [        XU5      S   [        R                  " [        R                  S-  5      -  $ r   )rH   r   r   r   r   s      rY   mathieu_ms2_scaledr   r   r   r\   c                 8    [        U R                  S5      U5      $ Nr   r   rx   r   s     rY   eval_legendre_ldr   u       #**r\   c                 8    [        U R                  S5      U5      $ Ndr   r   s     rY   eval_legendre_ddr   x   r   r\   c                 8    [        U R                  S5      U5      $ r   )r   rx   r   s     rY   eval_hermite_ldr   {       q))r\   c                 8    [        U R                  S5      U5      $ r   r   rx   r   s     rY   eval_laguerre_ldr   ~   r   r\   c                 8    [        U R                  S5      U5      $ r   r   r   s     rY   eval_laguerre_ddr      r   r\   c                 8    [        U R                  S5      X5      $ r   r	   rx   r   rW   ru   s      rY   eval_genlaguerre_lddr          AHHSM100r\   c                 8    [        U R                  S5      X5      $ r   r   r   s      rY   eval_genlaguerre_dddr      r   r\   c                      [        SU -
  X5      $ N   )r6   yr   ps      rY   bdtrik_compr      s    !A#qr\   c                      [        SU -
  X5      $ r   )r7   )r   bru   s      rY   btdtria_compr          1Q3r\   c                 "    [        U SU-
  U5      $ r   )r8   )rW   r   ru   s      rY   btdtrib_compr      s    1ac1r\   c                     [        SX5      $ rs   )r:   r   ru   s     rY   gdtr_r      s    Q?r\   c                     [        SX5      $ rs   )r;   r   s     rY   gdtrc_r      s    ar\   c                     [        SX5      $ rs   r<   r   r   s     rY   gdtrix_r          #qr\   c                 "    [        SU SU-
  5      $ Nrt   r   r   r   s     rY   gdtrix_compr      s    #q!A#r\   c                     [        SX5      $ rs   r=   r   s     rY   gdtrib_r      r   r\   c                 "    [        SSU -
  U5      $ r   r   r   s     rY   gdtrib_compr      s    #qsAr\   c                      [        SU -
  X5      $ r   )r>   r   s      rY   nbdtrik_compr      r   r\   c                      [        SU -
  U5      $ r   )r?   )r   r   s     rY   pdtrik_compr      s    !A#q>r\   c                     S[        X5      -  $ rs   r$   zr   s     rY   poch_r      s    ar\   c                      S[        X* 5      -  $ rs   r   r   s     rY   
poch_minusr      s    ar\   c                 8    [        U R                  S5      U5      $ r   )rK   rx   r   s     rY   spherical_jn_r      r   r\   c                 8    [        U R                  S5      U5      $ r   )rL   rx   r   s     rY   spherical_yn_r      r   r\   c                 T    [        U SU-  -   5      nUR                  UR                  4$ N              ?)r   realimagru   r   r   s      rY   cexpm1r      %    a"Q$hA66166>r\   c                 T    [        U SU-  -   5      nUR                  UR                  4$ r   )r   r   r   r   s      rY   clog1pr      r   r\   z%assoc_legendre_p_ipp-assoc_legendre_p)r   r   r      gdy=)rtolzlegendre_p_ipp-legendre_p)r   r   r   z%legendre_p_large_ipp-legendre_p_largeg [n;=gt0=gvIh%L=g+=F)r   
vectorizedg-=zbeta_exp_data_ipp-beta_exp_datagvIh%<=zbeta_med_data_ipp-beta_med_datag-a=z%ibeta_small_data_ipp-ibeta_small_data   g [n<zibeta_data_ipp-ibeta_dataz!ibeta_int_data_ipp-ibeta_int_dataz%ibeta_large_data_ipp-ibeta_large_datag|=z!ibeta_inv_data_ipp-ibeta_inv_datagh㈵>z#ibeta_inva_data_ipp-ibeta_inva_data)r   r   r   g:0y5>   )r   r   r      zbinomial_data_ipp-binomial_dataz+binomial_large_data_ipp-binomial_large_dataz,binomial_quantile_ipp-binomial_quantile_dataz>negative_binomial_quantile_ipp-negative_binomial_quantile_datag&.1>z*poisson_quantile_ipp-poisson_quantile_data)r   r   gA:)>zcbrt_data_ipp-cbrt_datar   zdigamma_data_ipp-digamma_datay                z%digamma_neg_data_ipp-digamma_neg_dataz'digamma_root_data_ipp-digamma_root_datagV瞯<z)digamma_small_data_ipp-digamma_small_datag+=zellint_k_data_ipp-ellint_k_datazellint_f_data_ipp-ellint_f_datazellint_e_data_ipp-ellint_e_dataz!ellint_e2_data_ipp-ellint_e2_datazerf_data_ipp-erf_dataz!erf_large_data_ipp-erf_large_datag+&=z!erf_small_data_ipp-erf_small_datazerf_inv_data_ipp-erf_inv_datazerfc_inv_data_ipp-erfc_inv_dataz'erfc_inv_big_data_ipp-erfc_inv_big_datac                     U S:  $ r~    ss    rY   <lambda>r   )      QUr\   )param_filterzexpint_1_data_ipp-expint_1_datar   zexpinti_data_ipp-expinti_dataz+expinti_data_double_ipp-expinti_data_doublez'expinti_data_long_ipp-expinti_data_longz'expint_small_data_ipp-expint_small_datazexpint_data_ipp-expint_dataztest_gamma_data_ipp-near_0ztest_gamma_data_ipp-near_1ztest_gamma_data_ipp-near_2ztest_gamma_data_ipp-near_m10ztest_gamma_data_ipp-near_m55gYLɞ=ztest_gamma_data_ipp-factorialsg&.!>g|=g|=z'igamma_small_data_ipp-igamma_small_datag+<z#igamma_med_data_ipp-igamma_med_dataz#igamma_int_data_ipp-igamma_int_dataz#igamma_big_data_ipp-igamma_big_datag-q=z%igamma_inva_data_ipp-igamma_inva_dataz3tgamma_delta_ratio_data_ipp-tgamma_delta_ratio_dataz1tgamma_delta_ratio_int_ipp-tgamma_delta_ratio_intz3tgamma_delta_ratio_int2_ipp-tgamma_delta_ratio_int2zhermite_ipp-hermitezlaguerre2_ipp-laguerre2zhyp2f1 insufficiently accurate.)knownfailurezlaguerre3_ipp-laguerre3z%log1p_expm1_data_ipp-log1p_expm1_datazbessel_i_data_ipp-bessel_i_data)r   r   gP7xf )r   atolz'bessel_i_int_data_ipp-bessel_i_int_datag&.>z3bessel_i_prime_int_data_ipp-bessel_i_prime_int_datagt@=gYnz'bessel_j_int_data_ipp-bessel_j_int_dataz+bessel_j_large_data_ipp-bessel_j_large_datagp~=zbessel_j_data_ipp-bessel_j_dataz3bessel_j_prime_int_data_ipp-bessel_j_prime_int_dataz7bessel_j_prime_large_data_ipp-bessel_j_prime_large_datagdy=z'bessel_k_int_data_ipp-bessel_k_int_datazbessel_k_data_ipp-bessel_k_dataz3bessel_k_prime_int_data_ipp-bessel_k_prime_int_datagt =z+bessel_k_prime_data_ipp-bessel_k_prime_datag(3=z#bessel_y01_data_ipp-bessel_y01_dataz!bessel_yn_data_ipp-bessel_yn_dataz!bessel_yv_data_ipp-bessel_yv_datag|=z-bessel_yv_prime_data_ipp-bessel_yv_prime_datazzeta_data_ipp-zeta_datac                     U S:  $ r   r   r   s    rY   r   r     r   r\   zzeta_neg_data_ipp-zeta_neg_datac                     U S:  $ r   r   r   s    rY   r   r     r   r\   z!zeta_1_up_data_ipp-zeta_1_up_datac                     U S:  $ r   r   r   s    rY   r   r     r   r\   z'zeta_1_below_data_ipp-zeta_1_below_datac                     U S:  $ r   r   r   s    rY   r   r     r   r\   z-gamma_inv_small_data_ipp-gamma_inv_small_dataz!gamma_inv_data_ipp-gamma_inv_dataz)gamma_inv_big_data_ipp-gamma_inv_big_datag7QU=zgdtrix unflow some points)r   r   g [n<zgdtrix bad some pointsznccs_ipp-nccsgiUMu>znccs_big_ipp-nccs_biggMb@?zchndtr inaccurate some pointsz#sph_bessel_data_ipp-sph_bessel_dataz%sph_neumann_data_ipp-sph_neumann_datagV瞯=zowens_t_ipp-owens_tgvIh%,=z)owens_t_large_data_ipp-owens_t_large_datag-=z!ellint_rc_data_ipp-ellint_rc_datagV瞯<z!ellint_rd_data_ipp-ellint_rd_datazellint_rd_0xy_ipp-ellint_rd_0xyzellint_rd_0yy_ipp-ellint_rd_0yyzellint_rd_xxx_ipp-ellint_rd_xxxzellint_rd_xxz_ipp-ellint_rd_xxzg_1k<zellint_rd_xyy_ipp-ellint_rd_xyygMg<z!ellint_rf_data_ipp-ellint_rf_datazellint_rf_xxx_ipp-ellint_rf_xxxzellint_rf_xyy_ipp-ellint_rf_xyyzellint_rf_xy0_ipp-ellint_rf_xy0zellint_rf_0yy_ipp-ellint_rf_0yyzellint_rg_ipp-ellint_rggؗ<zellint_rg_xxx_ipp-ellint_rg_xxxzellint_rg_xyy_ipp-ellint_rg_xyyg [n<zellint_rg_xy0_ipp-ellint_rg_xy0zellint_rg_00x_ipp-ellint_rg_00xz!ellint_rj_data_ipp-ellint_rj_data)r   r   r   r   g}:c                     U S:*  $ )Ng}:r   r   s    rY   r   r   /  s    Q%Zr\   )r   r   r   test)idsc                     [        U 5        g rd   _test_factoryr  s    rY   
test_boostr
  p  s
    4r\   
mathieu_abmathieu_ce_segHz>mathieu_mc_msc                     [        U 5        g rd   r  r	  s    rY   test_gslr    
    $r\   ellipkinc_neg_mr(   ellipeinc_neg_mlog1p_expm1_complex)r   r   )r   r   r   r   ellip)r   r   r   r   r   rM   c                     [        U 5        g rd   r  r	  s    rY   
test_localr    r  r\   c                    [         R                  " 5          Sn[         R                  " SU[        5        [        R
                  " SS9   U R                  US9  SSS5        SSS5        g! , (       d  f       N= f! , (       d  f       g= f)z
Boost testz,The occurrence of roundoff error is detectedignore)all)dtypeN)warningscatch_warningsfilterwarningsrN   r   errstatecheck)r  r  msgs      rY   r  r    s_    		 	 	"<#/AB[[X&JJUJ# ' 
#	" '& 
#	"s#   3A;	A*A;*
A8	4A;;
B	)importlib.resources	importlibr  numpyr   pytestscipy.specialr   r   r   r   r   r   r	   r
   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r    r!   r"   r#   r$   r%   r&   r'   r(   r)   r*   r+   r,   r-   r.   r/   r0   r1   r2   r3   r4   r5   r6   r7   r8   r9   r:   r;   r<   r=   r>   r?   r@   rA   rB   rC   rD   rE   rF   rG   rH   rI   rJ   rK   rL   rM   scipy.integraterN   scipy.special._testutilsrO   	resourcesfiles_datadirjoinpath
_boost_npzas_filerk   loadrT   _gsl_npzr^   
_local_npzra   rZ   r_   rb   rg   rl   ro   rq   rv   r|   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   BOOST_TESTSmarkparametrizereprr
  	GSL_TESTSr  LOCAL_TESTSr  float64r  r   r\   rY   <module>r8     s                          / -
 $$%?@{+
  ,WWQZN - Y'  *a771:L + {+
  ,WWQZN ->
<
>
'("--::::++*++11**
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