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    ivo                     @   st  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@mAZAmBZBmCZCmDZDmEZEmFZFmGZGmHZHmIZImJZJmKZKmLZLmMZMmNZNmOZOmPZPmQZQmRZRmSZSmTZTmUZUmVZVmWZW d dlXmYZY d dlZm[Z[ e\e j]^e j]_e`ddZae\e j]^e j]_e`ddZbe\e j]^e j]_e`d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$ Zqd%d& Zrd'd( Zsd)d* Ztd+d, Zud-d. Zvd/d0 Zwd1d2 Zxd3d4 Zyd5d6 Zzd7d8 Z{d9d: Z|d;d< Z}d=d> Z~d?d@ ZdAdB ZdCdD ZdEdF ZdGdH ZdIdJ ZdKdL ZdMdN ZdOdP ZdQdR ZdSdT ZdUdV ZdWdX ZdYdZ Zd[d\ Zd]d^ Zd_d` Zdadb Zdcdd Zdedf Zg edemdgdhdidjdkedendldmdndjdkedendodmdndpdkedeqdldmdndqdrdsedeqdodmdndpdrdsedeodldmdndqdrdsedeododmdndtdrdsedeydldmdndudkedeydodmdndvdkedezdldmdndwdkedezdodmdndvdkedepdldmdidwdrdsedepdodmdidxdrdsederdldmdidwdrdsederdodmdidxdrdsede(dydmdndzdkede(dydmdndzdkede(d{dmdnd|dkede)d}dhd~ddkede)ddhd~d|dkede)ddhd~dwdkede)ddhd~ddkede*ddhdiddkede?d}dhd~ddkede?ddhd~ddkede?ddhd~dwdkede?ddhd~ddkede@ddhdiddkededdhdddkedeAdddiddkededddddkedeBddd~ddkededddddkededdmdndzdkededdmdnd|dkede>dddiddkededddddkedeHdddiddkededddddkedeIdddnddkededddiddkededdd ede'dd dede'dddede'dd ddvdkede'ddddzdkede'dd dddkede'dddddkede'dd dddkede'dddddkedegdd dedehddmdnddkedeidd dedejddmdnddkede7dd dede7ddddzdkede8dd dnddkede7dd dede7dddede8dd dnddkede7dd dede7ddddzdkede8dd dnede9dd dede:dd dede:dd ddd dede;dddndzdkede;dddnddkede<dd ddzdkede<dd ddzdkede<dd dede=ddmdnede=ddmdnddkede!dd dede!dd dede!dd dede!dd dede!dd dddkede!dd dddkede!dddddkede!dddddkede!dddddkede!dddddkede!dddddkede!ddddvdkede"dd dnddkede"dd dnddkede"dd dnddkede"dd dnddkede"dd dnddkede"dd dnede#ddmd~ddkede#ddmd~dvdkede#ddmd~dvdkede#ddmd~ddkededdmd~dzdkededdmd~dvdkededdmd~dvdkededdmd~ddkede$ddmdidzdkede$ddmdidvdkede$ddmdiddkede$ddmdidjdkededdmdidzdkededdmdidvdkededdmdiddkededdmdidjdkededddnddkededddiddkededdmdndvdkededdmdnededdmdnededdmdidvdkededdmdiededdmdiede{ddmdndwdkede|ddmdnddkede}ddmdnddˍede~ddhdidvdkededdhdiddˍededd dededd dnededdmdnddkededddndddэededdmdnddkededddnddkededdmdnddkededddndddэededdmdnddkededddnddkededdmdnddkededddnddkededdmdnddkededddnddkededdmdnddkededddnddkededdmdndzdkededddndzdkededdmdndjdkededddndjdkededdmdnddkededdmdnddkededddnddkededdmdnddkededddnddkede ddmdnddkede dddnddkede ddmdnddkede dddnddkededdmdnddkededdmdnddkededdmdnddkededddnddkededdmdnddkededddnddkededdmdnddkededddnddkedeldd ddd dedeldd ddd dedeldd ddd dedeldd ddd dede%ddmdndjdkede%ddmdnddkede%ddmdndjdkede&ddmdiddkede&ddmdiddkede&ddmdiddkededdmdndtddededdmdnddkededdmdnededdmdnddˍededdmdiddkededdmdiedeCdddiddkedeCdddidddededddddd d d dd dd fdededdmdndzdkededdmdnddkedeJddmdndqdkedeJddmdnd	dkede2d
dmdnddkede3ddhdiddkede3ddhdiddkede3ddhdiddkede3ddhdiddkede3ddhdiddkede3ddhdiddkede4ddhdiddkede4ddhdiddkede4ddhdiddkede4ddhdiddkede4ddhdiddkede5ddhdiddkede5ddhdiddkede5ddhdiddkede5ddhdiddkede5ddhdiddkede6d d!ddd"d#d fd$Zejjd%eed&d'd( ZeeeKd)dmdndzdzdэeeeLd)dmdidzdzdэeeesd*dhdid+dzdэeeetd*dhdd+dzdэeeeud,dhdid+dzdэeeevd,dhdd+dzdэeeewd,dhd~d+dzdэeeexd,dhdd+dzdэgZejjd%eed&d-d. Zefe0d/dmdnefe/d0d defe-d1dmdnefed2dmd3ddkefed2dmdddkefe#d4dmdnddkefe$d5dmdndjdkefeTd6d7dddzdэefeSd6d7d~ddzdэefeWd8dhdidjdkg
Zejjd%eed&d9d: Zejfd;d<ZdS (=      N)suppress_warnings)Qlpnlpmnlpmvlqnlqmnsph_harmeval_legendreeval_hermiteeval_laguerreeval_genlaguerrebinomcbrtexpm1log1pzetajnjvjvpynyvyvpivivpknkvkvpgammagammalngammainc	gammainccgammaincinvgammainccinvdigammabetabetainc
betaincinvpochellipe	ellipeincellipkellipkm1	ellipkincellipjelliprcelliprdelliprfelliprgelliprjerferfcerfinverfcinvexp1expiexpnbdtrikbtdtrbtdtribtdtriabtdtribchndtrgdtrgdtrcgdtrixgdtribnbdtrikpdtrikowens_t	mathieu_a	mathieu_bmathieu_cemmathieu_semmathieu_modcem1mathieu_modsem1mathieu_modcem2mathieu_modsem2
ellip_harmellip_harm_2spherical_jnspherical_ynwright_bessel)IntegrationWarning)FuncDatadataz	boost.npzzgsl.npzz	local.npzc                 O   (   | d| t| t| g|R i |S Ndataname)
setdefaultrU   DATASETS_BOOSTfuncrY   akw r`   X/var/www/edux/Edux_v2/venv/lib/python3.10/site-packages/scipy/special/tests/test_data.pyrV   $      c                 O   rW   rX   )rZ   rU   DATASETS_GSLr\   r`   r`   ra   data_gsl)   rb   rd   c                 O   rW   rX   )rZ   rU   DATASETS_LOCALr\   r`   r`   ra   
data_local.   rb   rf   c                 C      t | |  S N)r*   kr`   r`   ra   ellipk_3      rk   c                 C      t | || S rh   )r,   frj   r`   r`   ra   
ellipkinc_7      rp   c                 C   rg   rh   )r(   ri   r`   r`   ra   ellipe_;   rl   rr   c                 C   rm   rh   )r)   rn   r`   r`   ra   
ellipeinc_?   rq   rs   c                 C   rg   rh   )r-   ri   r`   r`   ra   ellipj_C   rl   rt   c                 C   s
   t | dS N      ?)r   )xr`   r`   ra   zeta_G   s   
rx   c                 C   s   t || t|S rh   )r   astypeint)numurw   r`   r`   ra   assoc_legendre_p_boost_K   s   r}   c                 C      t d| |S Nr   )r   )r{   rw   r`   r`   ra   legendre_p_via_assoc_O   rl   r   c                 C      t | d|d d S Nlr   )r   ry   nrw   r`   r`   ra   lpn_R      r   c                 C   r   r   )r   ry   r   r`   r`   ra   lqn_U   r   r   c                 C      t d| |d d S Nr   )r   r   )r   r   r`   r`   ra   legendre_p_via_lpmnX      r   c                 C   r   r   )r   r   r`   r`   ra   legendre_q_via_lqmn[   r   r   c                 C      t | ||d tj d S N   r   )rI   nppimqrw   r`   r`   ra   mathieu_ce_rad^      r   c                 C   r   r   )rJ   r   r   r   r`   r`   ra   mathieu_se_radb   r   r   c                 C       t | ||d ttjd  S Nr      )rK   r   sqrtr   r   r`   r`   ra   mathieu_mc1_scaledf   s    r   c                 C   r   r   )rL   r   r   r   r   r`   r`   ra   mathieu_ms1_scaledl       r   c                 C   r   r   )rM   r   r   r   r   r`   r`   ra   mathieu_mc2_scaledp   r   r   c                 C   r   r   )rN   r   r   r   r   r`   r`   ra   mathieu_ms2_scaledt   r   r   c                 C      t | d|S Nr   r	   ry   r   r`   r`   ra   eval_legendre_ldw      r   c                 C   r   Ndr   r   r`   r`   ra   eval_legendre_ddz   r   r   c                 C   r   r   )r
   ry   r   r`   r`   ra   eval_hermite_ld}   r   r   c                 C   r   r   r   ry   r   r`   r`   ra   eval_laguerre_ld   r   r   c                 C   r   r   r   r   r`   r`   ra   eval_laguerre_dd   r   r   c                 C      t | d||S r   r   ry   r   r^   rw   r`   r`   ra   eval_genlaguerre_ldd      r   c                 C   r   r   r   r   r`   r`   ra   eval_genlaguerre_ddd   r   r   c                 C      t d|  ||S N   )r:   yr   pr`   r`   ra   bdtrik_comp   r   r   c                 C   s   t | |d| S r   )r<   )r^   br   r`   r`   ra   btdtri_comp   r   r   c                 C   r   r   )r=   )r   r   rw   r`   r`   ra   btdtria_comp   r   r   c                 C   s   t | d| |S r   )r>   )r^   r   rw   r`   r`   ra   btdtrib_comp   r   r   c                 C   r~   ru   )r@   r   rw   r`   r`   ra   gdtr_   rl   r   c                 C   r~   ru   )rA   r   r`   r`   ra   gdtrc_   rl   r   c                 C   r~   ru   rB   r   r   r`   r`   ra   gdtrix_   rl   r   c                 C   s   t d| d| S Nrv   r   r   r   r`   r`   ra   gdtrix_comp   r   r   c                 C   r~   ru   rC   r   r`   r`   ra   gdtrib_   rl   r   c                 C   s   t dd|  |S r   r   r   r`   r`   ra   gdtrib_comp   r   r   c                 C   r   r   )rD   r   r`   r`   ra   nbdtrik_comp   r   r   c                 C   s   t d|  |S r   )rE   )r   r   r`   r`   ra   pdtrik_comp   rq   r   c                 C   s   dt | | S ru   r'   zr   r`   r`   ra   poch_   rq   r   c                 C   s   dt | |  S ru   r   r   r`   r`   ra   
poch_minus   r   r   c                 C   r   r   )rQ   ry   r   r`   r`   ra   spherical_jn_   r   r   c                 C   r   r   )rR   ry   r   r`   r`   ra   spherical_yn_   r   r   c                 C   s   t | |||}|j|jfS rh   )r   realimag)r   r   thetaphir   r`   r`   ra   	sph_harm_   s   r   c                 C      t | d|  }|j|jfS N              ?)r   r   r   rw   r   r   r`   r`   ra   cexpm1      r   c                 C   r   r   )r   r   r   r   r`   r`   ra   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   
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`   ra   <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`   ra   r     r   zzeta_neg_data_ipp-zeta_neg_datac                 C   r   r   r`   r   r`   r`   ra   r     r   z!zeta_1_up_data_ipp-zeta_1_up_datac                 C   r   r   r`   r   r`   r`   ra   r     r   z'zeta_1_below_data_ipp-zeta_1_below_datac                 C   r   r   r`   r   r`   r`   ra   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   onesshaper   r`   r`   ra   r         c                 C   r   r   r   r   r`   r`   ra   r     r   c                 C   s   t | dt j k | dkS )Nr   r   r   logical_andr   r   r`   r`   ra   r     s    c                 C   s   t | t jk | dkS r   r   r   r`   r`   ra   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`   ra   r     r   )r   r   r   test)idsc                 C      t |  d S rh   _test_factoryr   r`   r`   ra   
test_boost7     r   
mathieu_abmathieu_ce_segHz>mathieu_mc_msc                 C   r   rh   r   r   r`   r`   ra   test_gslL  r   r  ellipkinc_neg_mr+   ellipeinc_neg_mlog1p_expm1_complex)r   r   r   r    ellip)r   r   r   r   r   rS   c                 C   r   rh   r   r   r`   r`   ra   
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   filterrT   r   errstatecheck)r   r  supr`   r`   ra   r   d  s   "r   )osnumpyr   numpy.testingr   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$   r%   r&   r'   r(   r)   r*   r+   r,   r-   r.   r/   r0   r1   r2   r3   r4   r5   r6   r7   r8   r9   r:   r;   r<   r=   r>   r?   r@   rA   rB   rC   rD   rE   rF   rG   rH   rI   rJ   rK   rL   rM   rN   rO   rP   rQ   rR   rS   scipy.integraterT   scipy.special._testutilsrU   loadpathjoindirname__file__r[   rc   re   rV   rd   rf   rk   rp   rr   rs   rt   rx   r}   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   BOOST_TESTSmarkparametrizereprr   	GSL_TESTSr  LOCAL_TESTSr  doubler   r`   r`   r`   ra   <module>   s   N 	
 !#$&')*,-/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