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    4Bi=v                     @   s  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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j\]dZ^e^_dZ`ej\ae`ZbecebZdW d   n1 sw   Y  e^_dZeej\aeeZbecebZfW d   n	1 sw   Y  e^_d	Zgej\aegZbecebZhW d   n	1 s%w   Y  d
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$d% Zvd&d' Zwd(d) Zxd*d+ Zyd,d- Zzd.d/ Z{d0d1 Z|d2d3 Z}d4d5 Z~d6d7 Zd8d9 Zd:d; Zd<d= Zd>d? Zd@dA ZdBdC ZdDdE ZdFdG ZdHdI ZdJdK ZdLdM ZdNdO ZdPdQ ZdRdS ZdTdU ZdVdW ZdXdY ZdZd[ Zd\d] Zd^d_ Zd`da Zdbdc Zddde Zg eieqdfdgdhdidjeierdkdldmdidjeierdndldmdodjeieudkdldmdpdqdreieudndldmdodqdreiesdkdldmdpdqdreiesdndldmdsdqdreie}dkdldmdtdjeie}dndldmdudjeie~dkdldmdvdjeie~dndldmdudjeietdkdldhdvdqdreietdndldhdwdqdreievdkdldhdvdqdreievdndldhdwdqdreie)dxdldmdydjeie)dxdldmdydjeie)dzdldmd{djeie*d|dgd}d~djeie*ddgd}d{djeie*ddgd}dvdjeie*ddgd}ddjeie+ddgdhddjeie?d|dgd}d~djeie?ddgd}ddjeie?ddgd}dvdjeie?ddgd}ddjeie@ddgdhddjeieddgdddjeieAdddhddjeiedddddjeieBddd}ddjeiedddddjeieddldmdydjeieddldmd{djeie>dddhddjeiedddddjeieHdddhddjeiedddddjeieIdddmddjeiedddhddjeieddd eie(dd deie(dddeie(dd ddudjeie(ddddydjeie(dd dddjeie(dddddjeie(dd dddjeie(dddddjeieldd deiemddldmddjeiendd deieoddldmddjeie7dd deie7ddddydjeie8dd dmd~djeie7dd deie7dddeie8dd dmddjeie7dd deie7ddddydjeie8dd dmeie9dd deie:dd deie:dd ddd deie;dddmdydjeie;dddmddjeie<dd ddydjeie<dd ddydjeie<dd deie=ddldmeie=ddldmddjeie"dd deie"dd deie"dd deie"dd deie"dd dddjeie"dd dddjeie"dddddjeie"dddddjeie"dddddjeie"dddddjeie"dddddjeie"ddddudjeie#dd dmddjeie#dd dmddjeie#dd dmddjeie#dd dmddjeie#dd dmddjeie#dd dmeie$ddld}ddjeie$ddld}dudjeie$ddld}dudjeie$ddld}ddjeieddld}dydjeieddld}dudjeieddld}dudjeieddld}ddjeie%ddldhdydjeie%ddldhdudjeie%ddldhddjeie%ddldhdidjeieddldhdydjeieddldhdudjeieddldhddjeieddldhdidjeiedddmddjeiedddhddjeieddldmdudjeieddldmeieddldmeieddldhdudjeieddldheieddldheieddldmdvdjeieddldmddjeieddldmddʍeieddgdhdudjeieddgdhddʍeiedd deiedd dmeieddldmddjeiedddmdddЍeieddldmddjeiedddmddjeieddldmddjeiedddmdddЍeieddldmddjeiedddmddjeieddldmddjeiedddmddjeieddldmddjeiedddmddjeieddldmddjeiedddmddjeieddldmdydjeiedddmdydjeieddldmdidjeiedddmddjeieddldmddjeie ddldmddjeie dddmddjeie ddldmddjeie dddmddjeie!ddldmddjeie!dddmddjeie!ddldmddjeie!dddmddjeieddldmddjeieddldmddjeieddldmddjeiedddmddjeieddldmddjeiedddmddjeieddldmddjeiedddmddjeiepdd ddd deiepdd ddd deiepdd ddd deiepdd ddd deie&ddldmdidjeie&ddldmddjeie&ddldmdidjeie'ddldhddjeie'ddldhddjeie'ddldhddjeieddldmdsddeieddldmddjeieddldmeieddldmddʍeieddldhd~djeieddldheieCdddhddjeieCdddhdddeiedddddd d d dd dd fdeieddldmdydjeieddldmddjeieJddldmdpdjeieJddldmd	djeie2d
dldmddjeie3ddgdhddjeie3ddgdhddjeie3ddgdhddjeie3ddgdhddjeie3ddgdhddjeie3ddgdhddjeie4ddgdhddjeie4ddgdhddjeie4ddgdhddjeie4ddgdhddjeie4ddgdhddjeie5ddgdhddjeie5ddgdhddjeie5ddgdhddjeie5ddgdhddjeie5ddgdhddjeie6d d!ddd"d#d fd$Zejjd%eed&d'd( ZejeKd)dldmdydydЍejeLd)dldhdydydЍejewd*dgdhd+dydЍejexd*dgdd+dydЍejeyd,dgdhd+dydЍejezd,dgdd+dydЍeje{d,dgd}d+dydЍeje|d,dgdd+dydЍgZejjd%eed&d-d. Zeke1d/dldmeke0d0d deke.d1dldmeked2dld3ddjeked2dldddjeke$d4dldmddjeke%d5dldmdidjekeTd6d7dddydЍekeSd6d7d}ddydЍekeWd8dgdhdidjg
Zejjd%eed&d9d: Zejfd;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)FuncDatazscipy.special.tests.dataz	boost.npzzgsl.npzz	local.npzc                 O   (   | d| t| t| g|R i |S Ndataname)
setdefaultrT   DATASETS_BOOSTfuncrW   akw r^   ]/var/www/html/Trade-python/venv/lib/python3.10/site-packages/scipy/special/tests/test_data.pydata,      r`   c                 O   rU   rV   )rX   rT   DATASETS_GSLrZ   r^   r^   r_   data_gsl1   ra   rc   c                 O   rU   rV   )rX   rT   DATASETS_LOCALrZ   r^   r^   r_   
data_local6   ra   re   c                 C      t | |  S N)r*   kr^   r^   r_   ellipk_;      rj   c                 C      t | || S rg   )r,   fri   r^   r^   r_   
ellipkinc_?      ro   c                 C   rf   rg   )r(   rh   r^   r^   r_   ellipe_C   rk   rq   c                 C   rl   rg   )r)   rm   r^   r^   r_   
ellipeinc_G   rp   rr   c                 C   s
   t | dS N      ?)r   )xr^   r^   r_   zeta_K   s   
rv   c                 C   s   t || t|S rg   )r   astypeint)numuru   r^   r^   r_   assoc_legendre_p_boost_O   s   r{   c                 C      t d| |S Nr   )r   )ry   ru   r^   r^   r_   legendre_p_via_assoc_S   rk   r~   c                 C      t | d|d d S Nlr   )r   rw   nru   r^   r^   r_   lpn_V      r   c                 C   r   r   )r   rw   r   r^   r^   r_   lqn_Y   r   r   c                 C      t d| |d d S Nr   )r   r   )r   r   r^   r^   r_   legendre_p_via_lpmn\      r   c                 C   r   r   )r   r   r^   r^   r_   legendre_q_via_lqmn_   r   r   c                 C      t | ||d tj d S N   r   )rH   nppimqru   r^   r^   r_   mathieu_ce_radb      r   c                 C   r   r   )rI   r   r   r   r^   r^   r_   mathieu_se_radf   r   r   c                 C       t | ||d ttjd  S Nr      )rJ   r   sqrtr   r   r^   r^   r_   mathieu_mc1_scaledj   s    r   c                 C   r   r   )rK   r   r   r   r   r^   r^   r_   mathieu_ms1_scaledp       r   c                 C   r   r   )rL   r   r   r   r   r^   r^   r_   mathieu_mc2_scaledt   r   r   c                 C   r   r   )rM   r   r   r   r   r^   r^   r_   mathieu_ms2_scaledx   r   r   c                 C      t | d|S Nr   r	   rw   r   r^   r^   r_   eval_legendre_ld{      r   c                 C   r   Ndr   r   r^   r^   r_   eval_legendre_dd~   r   r   c                 C   r   r   )r
   rw   r   r^   r^   r_   eval_hermite_ld   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   
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>L      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_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                 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   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   Y  r   )r   r   r   test)idsc                 C   sR   | j tttfv r#t  t|  W d    d S 1 sw   Y  d S t|  d S rg   )r[   r:   r;   r   pytestdeprecated_call_test_factoryr   r^   r^   r_   
test_boost  s
   

"r   
mathieu_abmathieu_ce_segHz>mathieu_mc_msc                 C      t |  d S rg   r   r   r^   r^   r_   test_gsl     r  ellipkinc_neg_mr+   ellipeinc_neg_mlog1p_expm1_complex)r   r   r   r    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   errstatecheck)r   r  supr^   r^   r_   r     s   "r   )importlib.resources	importlibnumpyr   numpy.testingr   r   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   scipy.integraterS   scipy.special._testutilsrT   	resourcesfiles_datadirjoinpath
_boost_npzas_filern   loadrY   _gsl_npzrb   
_local_npzrd   r`   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   BOOST_TESTSmarkparametrizereprr   	GSL_TESTSr  LOCAL_TESTSr  float64r   r^   r^   r^   r_   <module>   s   J 



"$&)+-/2579;>@CEHJMORTWY]_bdefghijkmnoprstuvwxyz|}
~             	                                             !  #  $  %  &  (  *  ,  .  1  2  3  4  6  7  9  ;  =  ?  A  C  F  I  K  M  O  R  S  U  W  Y  [  ^  `  c  d  e  f  h  i  j  k  m  o  q  s  v  x  y  z  {  }                         	    
                
    
    
    
                "    $    &    )    +    -    /    1    3    6    8    ;    B    D    G    I    ]    _    a    c    e    n    p    r    t    v    x    z                       	            
      P




