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    iEo                     @   sd  d dl Z d dlZd dlmZ d dlZd dlmZmZm	Z	m
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mZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZm Z m!Z!m"Z"m#Z#m$Z$m%Z%m&Z&m'Z'm(Z(m)Z)m*Z*m+Z+m,Z,m-Z-m.Z.m/Z/m0Z0m1Z1m2Z2m3Z3m4Z4m5Z5m6Z6m7Z7m8Z8m9Z9m:Z:m;Z;m<Z<m=Z=m>Z>m?Z?m@Z@mAZAmBZBmCZCmDZDmEZEmFZFmGZGmHZHmIZImJZJmKZKmLZLmMZMmNZNmOZOmPZPmQZQmRZRmSZSmTZTmUZUmVZV d dlWmXZX d dlYmZZZ e[e j\]e j\^e_ddZ`e[e j\]e j\^e_ddZae[e j\]e j\^e_dd	Zbd
d Zcdd Zddd Zedd Zfdd Zgdd Zhdd Zidd Zjdd Zkdd Zldd Zmdd  Znd!d" Zod#d$ Zpd%d& Zqd'd( Zrd)d* Zsd+d, Ztd-d. Zud/d0 Zvd1d2 Zwd3d4 Zxd5d6 Zyd7d8 Zzd9d: Z{d;d< Z|d=d> Z}d?d@ Z~dAdB ZdCdD ZdEdF ZdGdH ZdIdJ ZdKdL ZdMdN ZdOdP ZdQdR ZdSdT ZdUdV ZdWdX ZdYdZ Zd[d\ Zd]d^ Zd_d` Zdadb Zdcdd Zg ecekdedfdgdhdieceldjdkdldhdieceldmdkdldndieceodjdkdldodpdqeceodmdkdldndpdqecemdjdkdldodpdqecemdmdkdldrdpdqecewdjdkdldsdiecewdmdkdldtdiecexdjdkdldudiecexdmdkdldtdiecendjdkdgdudpdqecendmdkdgdvdpdqecepdjdkdgdudpdqecepdmdkdgdvdpdqece(dwdkdldxdiece(dwdkdldxdiece(dydkdldzdiece)d{dfd|d}diece)d~dfd|dzdiece)ddfd|dudiece)ddfd|ddiece*ddfdgddiece>d{dfd|d}diece>d~dfd|ddiece>ddfd|dudiece>ddfd|ddiece?ddfdgddieceddfdddiece@dddgddiecedddddieceAddd|ddiecedddddieceddkdldxdieceddkdldzdiece=dddgddiece~dddddieceGdddgddiecedddddieceHdddlddiecedddgddieceddd ece'dd dece'dddece'dd ddtdiece'ddddxdiece'dd dddiece'dddddiece'dd dddiece'dddddiecefdd decegddkdlddiecehdd deceiddkdlddiece6dd dece6ddddxdiece7dd dld}diece6dd dece6dddece7dd dlddiece6dd dece6ddddxdiece7dd dlece8dd dece9dd dece9dd ddd dece:dddldxdiece:dddlddiece;dd ddxdiece;dd ddxdiece;dd dece<ddkdlece<ddkdlddiece!dd dece!dd dece!dd dece!dd dece!dd dddiece!dd dddiece!dddddiece!dddddiece!dddddiece!dddddiece!dddddiece!ddddtdiece"dd dlddiece"dd dlddiece"dd dlddiece"dd dlddiece"dd dlddiece"dd dlece#ddkd|ddiece#ddkd|dtdiece#ddkd|dtdiece#ddkd|ddieceddkd|dxdieceddkd|dtdieceddkd|dtdieceddkd|ddiece$ddkdgdxdiece$ddkdgdtdiece$ddkdgddiece$ddkdgdhdieceddkdgdxdieceddkdgdtdieceddkdgddieceddkdgdhdiecedddlddiecedddgddieceddkdldtdieceddkdleceddkdleceddkdgdtdieceddkdgeceddkdgeceyddkdldudiecezddkdlddiece{ddkdlddɍece|ddfdgdtdiece}ddfdgddɍecedd decedd dleceddkdlddiecedddldddύeceddkdlddiecedddlddieceddkdlddiecedddldddύeceddkdlddiecedddlddieceddkdlddiecedddlddieceddkdlddiecedddlddieceddkdlddiecedddlddieceddkdldxdiecedddldxdieceddkdldhdiecedddldhdieceddkdlddieceddkdlddiecedddlddieceddkdlddiecedddlddiece ddkdlddiece dddlddiece ddkdlddiece dddlddieceddkdlddieceddkdlddieceddkdlddiecedddlddieceddkdlddiecedddlddieceddkdlddiecedddlddiecejdd ddd decejdd ddd decejdd ddd decejdd ddd dece%ddkdldhdiece%ddkdlddiece%ddkdldhdiece&ddkdgddiece&ddkdgddiece&ddkdgddieceddkdldrddeceddkdlddieceddkdleceddkdlddɍeceddkdgd}dieceddkdgeceBdddgddieceBdddgdddecedddddd dd dd d d fdeceddkdldxdieceddkdlddieceIddkdldodieceIddkdlddiece1ddkdld	diece2d
dfdgd	diece2ddfdgd	diece2ddfdgd	diece2ddfdgd	diece2ddfdgddiece2ddfdgddiece3ddfdgd	diece3ddfdgd	diece3ddfdgd	diece3ddfdgd	diece3ddfdgd	diece4ddfdgddiece4ddfdgddiece4ddfdgddiece4ddfdgd	diece4ddfdgd	diece5dddd	d d!d fd"Zejjd#eed$d%d& ZedeJd'dkdldxdxdύedeKd'dkdgdxdxdύedeqd(dfdgd)dxdύederd(dfdd)dxdύedesd*dfdgd)dxdύedetd*dfdd)dxdύedeud*dfd|d)dxdύedevd*dfdd)dxdύgZejjd#eed$d+d, Zeee0d-dkdleee/d.d deee-d/dkdleeed0dkd1ddieeed0dkdddieee#d2dkdlddieee$d3dkdldhdieeeSd4d5dddxdύeeeRd4d5d|ddxdύeeeVd6dfdgdhdig
Zejjd#eed$d7d8 Zejfd9d:ZdS (;      N)suppress_warnings)Plpnlpmnlpmvlqnlqmnsph_harmeval_legendreeval_hermiteeval_laguerreeval_genlaguerrebinomcbrtexpm1log1pzetajnjvjvpynyvyvpivivpknkvkvpgammagammalngammainc	gammainccgammaincinvgammainccinvdigammabetabetainc
betaincinvpochellipe	ellipeincellipkellipkm1	ellipkincelliprcelliprdelliprfelliprgelliprjerferfcerfinverfcinvexp1expiexpnbdtrikbtdtrbtdtribtdtriabtdtribchndtrgdtrgdtrcgdtrixgdtribnbdtrikpdtrikowens_t	mathieu_a	mathieu_bmathieu_cemmathieu_semmathieu_modcem1mathieu_modsem1mathieu_modcem2mathieu_modsem2
ellip_harmellip_harm_2spherical_jnspherical_ynwright_bessel)IntegrationWarning)FuncDatadataz	boost.npzzgsl.npzz	local.npzc                 O   (   | d| t| t| g|R i |S Ndataname)
setdefaultrT   DATASETS_BOOSTfuncrX   akw r_   l/var/www/html/eduruby.in/lip-sync/lip-sync-env/lib/python3.10/site-packages/scipy/special/tests/test_data.pyrU   $      c                 O   rV   rW   )rY   rT   DATASETS_GSLr[   r_   r_   r`   data_gsl)   ra   rc   c                 O   rV   rW   )rY   rT   DATASETS_LOCALr[   r_   r_   r`   
data_local.   ra   re   c                 C      t | |  S N)r*   kr_   r_   r`   ellipk_3      rj   c                 C      t | || S rg   )r,   fri   r_   r_   r`   
ellipkinc_7      ro   c                 C   rf   rg   )r(   rh   r_   r_   r`   ellipe_;   rk   rq   c                 C   rl   rg   )r)   rm   r_   r_   r`   
ellipeinc_?   rp   rr   c                 C   s
   t | dS N      ?)r   )xr_   r_   r`   zeta_C   s   
rv   c                 C   s   t || t|S rg   )r   astypeint)numuru   r_   r_   r`   assoc_legendre_p_boost_G   s   r{   c                 C      t d| |S Nr   )r   )ry   ru   r_   r_   r`   legendre_p_via_assoc_K   rk   r~   c                 C      t | d|d d S Nlr   )r   rw   nru   r_   r_   r`   lpn_N      r   c                 C   r   r   )r   rw   r   r_   r_   r`   lqn_Q   r   r   c                 C      t d| |d d S Nr   )r   r   )r   r   r_   r_   r`   legendre_p_via_lpmnT      r   c                 C   r   r   )r   r   r_   r_   r`   legendre_q_via_lqmnW   r   r   c                 C      t | ||d tj d S N   r   )rH   nppimqru   r_   r_   r`   mathieu_ce_radZ      r   c                 C   r   r   )rI   r   r   r   r_   r_   r`   mathieu_se_rad^   r   r   c                 C       t | ||d ttjd  S Nr      )rJ   r   sqrtr   r   r_   r_   r`   mathieu_mc1_scaledb   s    r   c                 C   r   r   )rK   r   r   r   r   r_   r_   r`   mathieu_ms1_scaledh       r   c                 C   r   r   )rL   r   r   r   r   r_   r_   r`   mathieu_mc2_scaledl   r   r   c                 C   r   r   )rM   r   r   r   r   r_   r_   r`   mathieu_ms2_scaledp   r   r   c                 C      t | d|S Nr   r	   rw   r   r_   r_   r`   eval_legendre_lds      r   c                 C   r   Ndr   r   r_   r_   r`   eval_legendre_ddv   r   r   c                 C   r   r   )r
   rw   r   r_   r_   r`   eval_hermite_ldy   r   r   c                 C   r   r   r   rw   r   r_   r_   r`   eval_laguerre_ld|   r   r   c                 C   r   r   r   r   r_   r_   r`   eval_laguerre_dd   r   r   c                 C      t | d||S r   r   rw   r   r]   ru   r_   r_   r`   eval_genlaguerre_ldd      r   c                 C   r   r   r   r   r_   r_   r`   eval_genlaguerre_ddd   r   r   c                 C      t d|  ||S N   )r9   yr   pr_   r_   r`   bdtrik_comp   r   r   c                 C   s   t | |d| S r   )r;   )r]   br   r_   r_   r`   btdtri_comp   r   r   c                 C   r   r   )r<   )r   r   ru   r_   r_   r`   btdtria_comp   r   r   c                 C   s   t | d| |S r   )r=   )r]   r   ru   r_   r_   r`   btdtrib_comp   r   r   c                 C   r|   rs   )r?   r   ru   r_   r_   r`   gdtr_   rk   r   c                 C   r|   rs   )r@   r   r_   r_   r`   gdtrc_   rk   r   c                 C   r|   rs   rA   r   r   r_   r_   r`   gdtrix_   rk   r   c                 C   s   t d| d| S Nrt   r   r   r   r_   r_   r`   gdtrix_comp   r   r   c                 C   r|   rs   rB   r   r_   r_   r`   gdtrib_   rk   r   c                 C   s   t dd|  |S r   r   r   r_   r_   r`   gdtrib_comp   r   r   c                 C   r   r   )rC   r   r_   r_   r`   nbdtrik_comp   r   r   c                 C   s   t d|  |S r   )rD   )r   r   r_   r_   r`   pdtrik_comp   rp   r   c                 C   s   dt | | S rs   r'   zr   r_   r_   r`   poch_   rp   r   c                 C   s   dt | |  S rs   r   r   r_   r_   r`   
poch_minus   r   r   c                 C   r   r   )rP   rw   r   r_   r_   r`   spherical_jn_   r   r   c                 C   r   r   )rQ   rw   r   r_   r_   r`   spherical_yn_   r   r   c                 C   s   t | |||}|j|jfS rg   )r   realimag)r   r   thetaphir   r_   r_   r`   	sph_harm_   s   r   c                 C      t | d|  }|j|jfS N              ?)r   r   r   ru   r   r   r_   r_   r`   cexpm1      r   c                 C   r   r   )r   r   r   r   r_   r_   r`   clog1p   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;=gvIh%,=F)r   Z
vectorizedg7QU=gt0=gvIh%L=g+=g-=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㈵>gvIh%\=   gHת>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                 C      | dkS r}   r_   sr_   r_   r`   <lambda>      r   )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_dataz'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                 C   r   r   r_   r   r_   r_   r`   r     r   zzeta_neg_data_ipp-zeta_neg_datac                 C   r   r   r_   r   r_   r_   r`   r     r   z!zeta_1_up_data_ipp-zeta_1_up_datac                 C   r   r   r_   r   r_   r_   r`   r     r   z'zeta_1_below_data_ipp-zeta_1_below_datac                 C   r   r   r_   r   r_   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_dataz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)spherical_harmonic_ipp-spherical_harmonic)r   r   r   r   )r   r   c                 C      t | jdS N?r   Zonesshaper   r_   r_   r`   r         c                 C   r   r   r   r   r_   r_   r`   r     r   c                 C   s   t | dt j k | dkS )Nr   r   r   logical_andr   r   r_   r_   r`   r     s    c                 C   s   t | t jk | dkS r}   r   r   r_   r_   r`   r     s    )r   r   z#sph_bessel_data_ipp-sph_bessel_dataz%sph_neumann_data_ipp-sph_neumann_datagV瞯=zowens_t_ipp-owens_tz)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                 C   s   | dkS )Ng}:r_   r   r_   r_   r`   r     r   )r   r   r   test)Zidsc                 C      t |  d S rg   _test_factoryr   r_   r_   r`   
test_boost3     r   Z
mathieu_abZmathieu_ce_segHz>Zmathieu_mc_msc                 C   r   rg   r   r   r_   r_   r`   test_gslH  r   r   Zellipkinc_neg_mr+   Zellipeinc_neg_mZlog1p_expm1_complex)r   r   r   r    Zellip)r   r   r   r   r   rR   c                 C   r   rg   r   r   r_   r_   r`   
test_local[  r   r   c              	   C   s   t  3}|td tjdd | j|d W d   n1 s!w   Y  W d   dS W d   dS 1 s9w   Y  dS )z
Boost testz,The occurrence of roundoff error is detectedignore)all)dtypeN)r   filterrS   r   Zerrstatecheck)r   r   supr_   r_   r`   r   `  s   "r   )osnumpyr   Znumpy.testingr   ZpytestZ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$   r%   r&   r'   r(   r)   r*   r+   r,   r-   r.   r/   r0   r1   r2   r3   r4   r5   r6   r7   r8   r9   r:   r;   r<   r=   r>   r?   r@   rA   rB   rC   rD   rE   rF   rG   rH   rI   rJ   rK   rL   rM   rN   rO   rP   rQ   rR   Zscipy.integraterS   Zscipy.special._testutilsrT   loadpathjoindirname__file__rZ   rb   rd   rU   rc   re   rj   ro   rq   rr   rv   r{   r~   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   ZBOOST_TESTSmarkZparametrizereprr   Z	GSL_TESTSr   ZLOCAL_TESTSr   doubler   r_   r_   r_   r`   <module>   s   J 	
 !#$&')*,-/023568:;<=>?@ACDEFHIJKLMNOPRSTVWXYZ\]_`abcdefghijklmnoprstuwxyz|}~             
                                     !  #  $  %  &  (  )  *  +  -  .  /  0  2  4  5  6  7  9  :  ;  <  >  ?  A  B  C  D  F  G  I  J  K  L  N  O  P  R  S  T  V  W  X  Y  Z  [  ]  ^  `  f  g  i  j  }                                             #    %    '    )    +    -
    p