
    h$,fA                       d dl Z d dlZd dlZd dlZd dlmZ d dlmZm	Z	 d dl
mZ d dlmZ d dlmZ d dlmZmZmZmZmZmZmZmZmZmZmZmZmZ d dlmZm Z  d d	l!m"Z" d d
l#m$Z$ d dl%m&Z& d dl'm(Z(m)Z)m*Z*m+Z+ d dl,m-Z- d dl.m/Z/ d dl0m1Z1m2Z2m3Z3 eeegZ4ddZ5d Z6d Z7d Z8d Z9ejt                  jw                  dddg      d        Z<d Z=d Z>d Z?d Z@d ZAd ZBd ZCd  ZDd! ZEd" ZFd# ZGejt                  jw                  d$ ej                  g d%      g d&f ej                  g d%      dfg d'g d(fg d'dfg      d)        ZIejt                  jw                  d$ ej                  g d*      g d&f ej                  g d+      g d,fg      d-        ZJejt                  jw                  d$ ej                  g d.      dfg d/dfg d.g d&fg d/g d(fg      d0        ZKejt                  jw                  d1g d2      d3        ZLd4 ZMejt                  jw                  d5d6 ej                  g d.      g d7fd6 ej                  g d/      g d8fd9 ej                  g d*      dfd: ej                  g d/      g d;fd< ej                  g d.      d d=gfd< ej                  g d/      d>d?gfd@ ej                  g d.      g dAfd@ ej                  g d/      g dBfdC ej                  g dD      g d(fdC ej                  g dB      g d(fdC ej                  g dA      g d&fg      ejt                  jw                  dEdFdGg      dH               ZNejt                  jw                  dIdJdKdFdLfdMdKdGdLfdNdFg dOfdPdFdQdRfdSi fg      dT        ZOdU ZPejt                  jw                  dVe4      dW        ZQejt                  jw                  dVe4      dX        ZRejt                  jw                  dVe4      dY        ZSejt                  jw                  dddg      dZ        ZTd[ ZUejt                  jw                  dddg      d\        ZVd] ZWd^ ZXd_ ZYd` ZZda Z[db Z\ejt                  jw                  dcg ddg ded gd gfg ddg dfd gd gfg ddg dgd gd gfg ddg dhd gd gfg dig dedQgd gfg dig dfdQgd gfg dig dgdQgd gfg dig dhdQgd gfg djg dedkgd gfg djg dfd gd gfg djg dgd gd gfg djg dhd gd gfg dlg deg dmg djfg dlg dfg dmg djfg dlg dgg dmg djfg dlg dhg dmg djfg dng deg dog dpfg dng dfg dog dpfg dng dgg dog dpfg dng dhg dog dpfg      dq        Z]ejt                  jw                  dcd=d gdQdQgd=gd gfd d=gdQdQgd=gd gfg ddg drdQgd gfg dig drdQgd gfg djg drd gd gfg dlg drd=gd gfg dng drd=gd gfg dog drd=gd gfg      ds        Z^dt Z_ejt                  jw                  dug dv      dw        Z`ejt                  jw                  dxg dyg dzg d{g d|g d}g      d~        Zaejt                  jw                  dd d=gg dedfg djd dQgdfg dg dedfg dg dedfg dg ddfg      d        Zbd Zcd Zdd Zed Zfd Zgd Zhd Zi	 ddZjejt                  jw                  dedehegeef      ejt                  jw                  deeif      d               Zkd Zlejt                  jw                  dd      ejt                  jw                  dd      ejt                  jw                  d emd=            d                      Znd Zod Zpd Zqejt                  jw                  dg dng drfg dng drgfg dngg drfg      d        Zrd Zsejt                  jw                  de/      d        Ztd Zud Zvd Zwd Zxd Zyd Zzd Z{d Z|ejt                  jw                  dddg      d        Z}d Z~d Zd Zd Zejt                  jw                  dg dAd=dfg dAddQfg dAddfg      d        Zejt                  jw                  d ej                  g d      d=d=f ej                  g d      d=dQf ej                  g d      dd=f ej                  g d      d=d=f ej                  g d      d=dQf ej                  g d      dd=fg      d        Zejt                  jw                  d ej                  g d      dg dAf ej                  g d      dQg dAf ej                  g d      dQg dAf ej                  g d      dg d¢fg      ejt                  jw                  dddg      dĄ               Zdń Zejt                  jw                  dg dAd=dfg dAddQfg dAdd=fg      dƄ        Zejt                  jw                  dg dAdfg dAdfg      dɄ        Zejt                  jw                  dg dˢg d̢g d͢g d΢g dϢgddfg dAg d̢g d͢g d΢g dϢgddfg dҢg d̢g d͢g d΢g dϢgg d/dfg dҢg d̢g d͢g d΢g dϢgg d;dfg dբg d̢g d͢g d΢g dϢgg dAdfg dբg d̢g d͢g d΢g dϢgg dעdfd d=gg d٢g dڢgddfg      d܄        Zejt                  jw                  de/      d݄        Zejt                  jw                  deeeeg      ejt                  jw                  dg d      d               Zd Zy)    N)stats)datasetssvm)make_multilabel_classification)UndefinedMetricWarning)LogisticRegression)accuracy_scoreaucaverage_precision_scorecoverage_error	dcg_score	det_curve%label_ranking_average_precision_scorelabel_ranking_loss
ndcg_scoreprecision_recall_curveroc_auc_score	roc_curvetop_k_accuracy_score)_dcg_sample_scores_ndcg_sample_scores)train_test_split)label_binarize)_sparse_random_matrix)assert_allcloseassert_almost_equalassert_array_almost_equalassert_array_equal)softmax)CSR_CONTAINERS)check_arraycheck_consistent_lengthcheck_random_stateFc                    | t        j                         } | j                  }| j                  }|r||dk     ||dk     }}|j                  \  }}t        j                  |      }t        d      }|j                  |       ||   ||   }}t        |dz        }t
        j                  j                  d      }t
        j                  ||j                  |d|z        f   }t        j                  ddd      }	|	j!                  |d| |d|       j#                  ||d       }
|r	|
ddd	f   }
|	j%                  ||d       }||d }|||
fS )
zMake some classification predictions on a toy dataset using a SVC

    If binary is True restrict to a binary classification problem instead of a
    multiclass classification problem
    N   %   r      linearT)kernelprobabilityrandom_state   )r   	load_irisdatatargetshapenparanger#   shuffleintrandomRandomStatec_randnr   SVCfitpredict_probapredict)datasetbinaryXy	n_samples
n_featuresprnghalfclfy_scorey_predy_trues                Blib/python3.12/site-packages/sklearn/metrics/tests/test_ranking.pymake_predictionrK   7   sM    $$&AAQx1q51GGIz
		)A
R
 CKKNQ41qAy1}D ))


"C
a9cJ&6778A ''t!
DCggah%4)77$%AG !Q$-[[45"FtuXF67""    c                    t        j                  |       d   }|| |k(     }|| |k7     }|j                  dd      |j                  dd      z
  }t        j                  |dkD        }|t	        t        |      t        |      z        z  S )zKAlternative implementation to check for correctness of
    `roc_auc_score`.r,   r   )r1   uniquereshapesumfloatlen)rI   rG   	pos_labelposnegdiff_matrix	n_corrects          rJ   _aucrY   g   s     		&!!$I &I%
&C
&I%
&C++a$s{{2q'99K{Q'IuSXC0111rL   c                 `   t        j                  |       d   }t        j                  | |k(        }t        j                  |      ddd   }||   }| |   } d}t	        t        |            D ]<  }| |   |k(  sd}t	        d|dz         D ]  }| |   |k(  s|dz  } ||dz   z  }||z  }> ||z  S )a>  Alternative implementation to check for correctness of
    `average_precision_score`.

    Note that this implementation fails on some edge cases.
    For example, for constant predictions e.g. [0.5, 0.5, 0.5],
    y_true = [1, 0, 0] returns an average precision of 0.33...
    but y_true = [0, 0, 1] returns 1.0.
    r,   NrN   r         ?)r1   rO   rQ   argsortrangerS   )	rI   rG   rT   n_posorderscoreiprecjs	            rJ   _average_precisionrd   v   s     		&!!$IFF6Y&'EJJw"%EenGE]FE3w<  	!9	! D1a!e_  !9	)CKD  AGODTME	 5=rL   c                     t        | |      \  }}}t        t        |            }t        t        |            }d}t        dt	        |            D ]  }|||   ||   ||dz
     z
  z  z  } |S )ao  A second alternative implementation of average precision that closely
    follows the Wikipedia article's definition (see References). This should
    give identical results as `average_precision_score` for all inputs.

    References
    ----------
    .. [1] `Wikipedia entry for the Average precision
       <https://en.wikipedia.org/wiki/Average_precision>`_
    r   r,   )r   listreversedr]   rS   )rI   rG   	precisionrecall	thresholdaverage_precisionra   s          rJ   _average_precision_slowrl      s     $:&'#J IvyXi()I(6"#F1c)n% HYq\VAYA-FGGHrL   c                     d } || ||      \  }}t        ||      }d}|}d||z
  z  ||z   z  }	||z
  }
dd||	z
  |
|	z
  z  z   z  S )zcAlternative implementation to check for correctness of `roc_auc_score`
    with `max_fpr` set.
    c                 .   t        | |      \  }}}|||k     }t        j                  ||      }|||k     }t        j                  ||kD        }|dz
  }	||	   ||   g}
||	   ||   g}t        j                  |t        j                  ||
|            }||fS )Nr,   )r   r1   appendargmaxinterp)rI   	y_predictmax_fprfprtpr_new_fprnew_tpridx_outidx_inx_interpy_interps               rJ   _partial_rocz,_partial_roc_auc_score.<locals>._partial_roc   s    	2S!cWn%))GW-cWn%))C'M*1KW.KW.))GRYYw(%KL!!rL   r         ?r,   )r
   )rI   rr   rs   r}   rw   rx   partial_aucfpr1fpr2min_areamax_areas              rJ   _partial_roc_auc_scorer      ss    

" $FIw?GWgw'K DDdTk"dTk2Hd{H!{X-(X2EFFGGrL   dropTc                 ,   t        d      \  }}}t        ||      }t        |||       \  }}}t        ||      }t	        ||d       t        |t        ||             |j                  |j                  k(  sJ |j                  |j                  k(  sJ y )NTr>   drop_intermediater%   decimal)rK   rY   r   r
   r   r   r   r0   )	r   rI   rv   rG   expected_aucrt   ru   
thresholdsroc_aucs	            rJ   test_roc_curver      s     )5FAw(L$VWMCj#smGg|Q?vw!?@99		!!!99
(((((rL   c                  `   t         j                  j                  d      } t        j                  dgdz  dgdz  z         }| j	                  dd      }t        ||d      \  }}}|d   dk(  sJ |d	   dk(  sJ |j                  |j                  k(  sJ |j                  |j                  k(  sJ y )
Nr   2   r,      d   sizeTr   rN   )r1   r5   r6   arrayrandintr   r0   )rD   rI   rH   rt   ru   thrs         rJ   test_roc_curve_end_pointsr      s     ))


"CXXqcBh!r)*F[[[%FffEMCcq6Q;;r7a<<99		!!!99		!!!rL   c                  l   t        d      \  } }}t        | |      \  }}}g }|D ]I  }t        j                  ||k\  | z        }t        j                  |       }	|j	                  d|z  |	z         K t        ||d       |j                  |j                  k(  sJ |j                  |j                  k(  sJ y )NTr   r[   r%   r   )rK   r   r1   rQ   ro   r   r0   )
rI   rv   rG   rt   ru   r   tpr_correctttprC   s
             rJ   test_roc_returns_consistencyr      s     )5FAw$VW5Cj K )VVW\V+,FF6N38a<() c;:99		!!!99
(((((rL   c                      t        d      \  } }}t        j                  t              5  t	        | |       d d d        y # 1 sw Y   y xY w)NFr   )rK   pytestraises
ValueErrorr   )rI   rv   rG   s      rJ   test_roc_curve_multir      s>    (6FAw	z	" #&'"# # #s   A  A	c                      t        d      \  } }}t        | |dz
        \  }}}t        ||      }t        |dd       |j                  |j                  k(  sJ |j                  |j                  k(  sJ y )NTr   r~   ?r%   r   )rK   r   r
   r   r0   )rI   rv   rG   rt   ru   r   r   s          rJ   test_roc_curve_confidencer      so    (5FAw$VWs];Cj#smGgtQ799		!!!99
(((((rL   c                     t        d      \  } }}t        j                  | j                        }t	        | |      \  }}}t        ||      }t        |dd       |j                  |j                  k(  sJ |j                  |j                  k(  sJ t        j                  | j                        }t	        | |      \  }}}t        ||      }t        |dd       |j                  |j                  k(  sJ |j                  |j                  k(  sJ t	        | |      \  }}}t        ||      }t        |dd       |j                  |j                  k(  sJ |j                  |j                  k(  sJ y )NTr   r~   r%   r   g(\?)rK   r1   onesr0   r   r
   r   zeros)rI   predrG   trivial_predrt   ru   r   r   s           rJ   test_roc_curve_hardr     sE   +48FD' 776<<(L$V\:Cj#smGgtQ799		!!!99
((((( 88FLL)L$V\:Cj#smGgtQ799		!!!99
((((( %VT2Cj#smGgtQ799		!!!99
(((((rL   c                     g d} g d}d}t        j                  t        |      5  t        | |      \  }}}d d d        t	        t        j                  t              t
        j                               |j                  j                  k(  sJ |j                  |j                  k(  sJ d}t        j                  t        |      5  t        | D cg c]  }d|z
  	 c}|      \  }}}d d d        t	        |t        j                  t        |      t
        j                               |j                  |j                  k(  sJ |j                  |j                  k(  sJ y # 1 sw Y   ,xY wc c}w # 1 sw Y   xY w)N)
r,   r,   r,   r,   r,   r,   r,   r,   r,   r,   )
r   r,   r   r,   r   r,   r   r,   r   r,   INo negative samples in y_true, false positive value should be meaninglessmatchHNo positive samples in y_true, true positive value should be meaninglessr,   )
r   warnsr   r   r   r1   fullrS   nanr0   )rI   rH   expected_messagert   ru   r   xs          rJ   test_roc_curve_one_labelr      sH   +F+F 	T  
,4D	E 9(8S*9 sBGGC
ORVV<=99		!!!99
((((( 	S  
,4D	E J()@A!a%)@&IS*J sBGGC
ORVV<=99		!!!99
(((((#9 9 *AJ Js)   E!	
E3E.
E3!E+.E33E<c                     ddg} ddg}t        | |      \  }}}t        | |      }t        |g d       t        |g d       t        |d       ddg} ddg}t        | |      \  }}}t        | |      }t        |g d       t        |g d       t        |d       ddg} ddg}t        | |      \  }}}t        | |      }t        |ddg       t        |ddg       t        |d       ddg} ddg}t        | |      \  }}}t        | |      }t        |g d       t        |g d       t        |d       ddg} ddg}t        | |      \  }}}t        | |      }t        |ddg       t        |ddg       t        |d       ddg} dd	g}d
}t	        j
                  t        |      5  t        | |      \  }}}d d d        t	        j                  t              5  t        | |       d d d        t        |g d       t        |t        j                  t        j                  t        j                  g       ddg} dd	g}d}t	        j
                  t        |      5  t        | |      \  }}}d d d        t	        j                  t              5  t        | |       d d d        t        |t        j                  t        j                  t        j                  g       t        |g d       t        j                  ddgddgg      } t        j                  ddgddgg      }t	        j                  t              5  t        | |d       d d d        t	        j                  t              5  t        | |d       d d d        t        t        | |d      d       t        t        | |d      d       t        j                  ddgddgg      } t        j                  ddgddgg      }t	        j                  t              5  t        | |d       d d d        t	        j                  t              5  t        | |d       d d d        t        t        | |d      d       t        t        | |d      d       t        j                  ddgddgg      } t        j                  ddgddgg      }t        t        | |d      d       t        t        | |d      d       t        t        | |d      d       t        t        | |d      d       t        j                  ddgddgg      } t        j                  ddgddgg      }t        t        | |d      d       t        t        | |d      d       t        t        | |d      d       t        t        | |d      d       y # 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   RxY w# 1 sw Y   1xY w# 1 sw Y   xY w# 1 sw Y   nxY w# 1 sw Y   xY w# 1 sw Y   xY w)Nr   r,   r   r   r,   r   r,   r,   r[           r~         ?      ?r   r   r   r~   r[   r   macroaverageweightedsamplesmicro)r   r   r   r   r   r   r   r   r   r1   r   r   )rI   rG   ru   rt   rv   r   r   s          rJ   test_roc_curve_toydatar   ;  s_   VF!fGFG,KCaFG,Gc9-c9-%VF!fGFG,KCaFG,Gc9-c9-%VF!fGFG,KCaFG,GcAq6*cAq6*%VF!fGFG,KCaFG,Gc9-c9-%VFCjGFG,KCaFG,GcAq6*cAq6*%VFTlG 	S  
,4D	E 10S!1 
z	" 'fg&'c?3cBFFBFFBFF#;<VFTlG 	T  
,4D	E 10S!1 
z	" 'fg&'cBFFBFFBFF#;<c?3 XX1v1v&'FhhAA'(G	z	" 8fgw78	z	" ;fgz:;fgyI3OfgwGMXX1v1v&'FhhAA'(G	z	" 8fgw78	z	" ;fgz:;fgyI3OfgwGMXX1v1v&'FhhAA'(GfgwGKfgzJANfgyI1MfgwGKXX1v1v&'Fhhc
S#J/0GfgwGMfgzJCPfgyI3OfgwGMk1 1' '1 1' '8 8; ;8 8; ;s`   "VV)V6W2W"W8W*(W7V&)V36W WWW'*W47Xc            	          g d} g d}t        | |d      \  }}}t        |t        j                  dddg       g d} g d	}t        | |d      \  }}}t        |t        j                  dd
dddg       y )Nr   r   r   r   r,   r,   r   皙?r~   333333?ffffff?r[   Tr   r[   r   r   r   r   r   r   r   r   r   r,   r,   r,   r,   r,   r,   r   皙?r   r   r   皙?r   r   r   r   r   r   r[   r   r   )r   r   r1   inf)rI   rG   ru   rt   r   s        rJ    test_roc_curve_drop_intermediater     st    F,G$VWMCjj2663S*AB 5FOG$VWMCjj2663S#s*KLrL   c                     g d} g d}t        j                  dd      }t        | ||      \  }}}t        j                  |      dk  j	                         dk(  sJ t        j                  |      dk  j	                         dk(  sJ y )Nr   r   r,   r,   r,   )r   r   333333?皙?r~   r      sample_weightr   )r1   repeatr   diffrQ   )rI   rG   r   rt   ru   rv   s         rJ   !test_roc_curve_fpr_tpr_increasingr     sz     F'GIIc1%MFG=IKCaGGCL1!!#q(((GGCL1!!#q(((rL   c                  0   ddg} ddg}t        t        | |      d       ddg} ddg}t        t        | |      d       g d} g d}t        t        | |      d       ddg} ddg}t        t        | |      d       g d} g d}t        t        | |      d       y )Nr   r,   r~   r,   r   r   r   r   r~   r,   )r   r
   )r   r@   s     rJ   test_aucr     s    	
AA	
AAc!Qi-	
AA	
AAc!Qi-AAc!Qi-	
AA	
AAc!Qi+AAc!Qi-rL   c                     t        j                  t              5  t        g dddg       d d d        t        j                  t              5  t        dgdg       d d d        g d} g d}dj	                  t        j                  |             }t        j                  t        t        j                  |            5  t        | |       d d d        y # 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   y xY w)	Nr   r   r   r   )r%   r,   r      )r            z+x is neither increasing nor decreasing : {}r   )	r   r   r   r
   formatr1   r   reescape)r   r@   error_messages      rJ   test_auc_errorsr     s    	z	" )Oc3Z() 
z	" SEC5 	AAAHHRSUM	z=)A	B Aq	 ) )  s#   CC=C+CC(+C4zy_true, labels)r   r,   r   r%   r   r,   r%   )abr   c)r   r   r   c           	      v   t        j                  g dg dg dg dg      }t        g dg d      }t        g dg d      }||z   d	z  }t        g d
g d      }t        g dg d      }||z   d	z  }t        ddgddg      }	t        ddgddg      }
|	|
z   d	z  }||z   |z   dz  }t        t        | ||d      |       |||g}g d}t        j                  ||      }t        t        | ||dd      |       d}t        j                  t        |      5  t        | ||dd        d d d        y # 1 sw Y   y xY w)Nr   r   r   r   r   r   ffffff?r~   333333?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   ovolabelsmulti_class)r   r   r~   )weightsr   r   r   r   z6average=None is not implemented for multi_class='ovo'.r   )r1   r   r   r   r   r   r   NotImplementedError)rI   r   y_scoresscore_01score_10average_score_01score_02score_20average_score_02score_12score_21average_score_12ovo_unweighted_scorepair_scores
prevalenceovo_weighted_scorer   s                    rJ   #test_multiclass_ovo_roc_auc_toydatar    si    xx	/+<mLH Y(89HY8H 8+q0 Y7HY(89H 8+q0 aVc3Z0HaVc3Z0H 8+q0 -/??BRRVWWfhv5I $%57GHK#JKDHV
	
 		 MM	*-	@ Xfhv5RVWX X Xs   D//D8)r   r%   r   r%   )r   dr   r  )r   r   r  c           	          t        j                  g dg dg dg dg      }t        g dg d      }t        g dg d      }||z   d	z  }t        t        | ||d
      |       t        t        | ||d
d      |       y )N)r   r   r   )r   r   r   )皙?r   ?)r   r   r   )r,   r   r,   r   )r   r   r  r   )r   r,   r   r,   )r   r   r  r   r%   r   r   r   r   r1   r   r   r   )rI   r   r   r   r  	ovo_scores         rJ   *test_multiclass_ovo_roc_auc_toydata_binaryr    s     xx	/+<oNH \+@AH\+@AHH$)Ifhv5I9
 HV
	
 		rL   )r   r,   r%   r%   )r   r   r   r   c           	         t        j                  g dg dg dg dg      }t        g d|d d df         }t        g d|d d df         }t        g d	|d d d
f         }t        t        | |d|d       |||g       ||z   |z   dz  }t        t        | |d|      |       |dz  |dz  z   |dz  z   }t        t        | |d|d      |       y )N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%   ovr)r   r   r   g      @)r   r   r   r~   r   r  )rI   r   r   out_0out_1out_2result_unweightedresult_weighteds           rJ   #test_multiclass_ovr_roc_auc_toydatar  @  s     xx	/?OLH
 ,A7E,A7E,A7EfhE&RVW	u .#5fhE&I dlUT\1ECK?OH%
	
 		rL   zmulti_class, average))r  r   )r  r   )r   r   c                 B   t        j                  g d      }g dg dg dg dg}t        t        ||| |      d       g dg dg dg dg}t        ||| |      dk  sJ dt        j                  d	      z  }t        ||| |      t        j                  d
      k(  sJ y )N)r   r,   r%   r   )r   r   r   r[   )r   r[   r   r   )r   r   r[   r   )r   皙?r!  r   r   r   r[   r   )r   r   r~   )r1   r   r   r   r   r   approx)r   r   rI   	y_perfecty_imperfecty_chances         rJ   0test_perfect_imperfect_chance_multiclass_roc_aucr'  k  s     XXl#F 	 	I fi['R 		K 	fk{GT
		
 bggfo%Hk7	s	  rL   c           
         | }t         j                  j                  g dd|      }t        j                  |D cg c]2  }t         j
                  j                  d||      j                         4 c}      }t        |g d      }t        |j                         |j                               \  }}}t        ||      }	t        ||dd	
      }
|	t        j                  |
      k(  sJ y c c}w )N)       @r[   r~     )r   r+   r,   )nrC   r+   r   )classesr  r   r"  )r   	dirichletrvsr1   asarraymultinomialrp   r   r   ravelr
   r   r   r#  )global_random_seedseedrH   y_pred_irI   y_onehotrt   ru   rv   roc_auc_by_handroc_auc_autos              rJ   test_micro_averaged_ovr_roc_aucr8    s    D
 __  t$ OFZZ #	
 !!A!ELLN	
F fi8HHNN,flln=KCa#smO UGTLfmmL9999	
s   7C)zmsg, y_true, labelsz!Parameter 'labels' must be uniquer   r%   r   )r   r   r   zKNumber of classes in y_true not equal to the number of columns in 'y_score'z"Parameter 'labels' must be ordered)r   r   r   zMNumber of given labels, 2, not equal to the number of columns in 'y_score', 3r,   r   r   zMNumber of given labels, 4, not equal to the number of columns in 'y_score', 3)r   r,   r%   r   )r   r   r   r  z2'y_true' contains labels not in parameter 'labels')r   r   r   er   r   r  c                     t        j                  g dg dg dg dg      }t        j                  t        |       5  t        ||||       d d d        y # 1 sw Y   y xY w)Nr   r   r   r   r   r   )r1   r   r   r   r   r   )msgrI   r   r   r   s        rJ   *test_roc_auc_score_multiclass_labels_errorr=    sW    R xx	/+<mLH 
z	- Pfhv;OP P Ps   AAzmsg, kwargszLaverage must be one of \('macro', 'weighted', None\) for multiclass problemsr   )r   r   zUaverage must be one of \('micro', 'macro', 'weighted', None\) for multiclass problemszksample_weight is not supported for multiclass one-vs-one ROC AUC, 'sample_weight' must be None in this case)r   r   z|Partial AUC computation not available in multiclass setting, 'max_fpr' must be set to `None`, received `max_fpr=0.5` insteadr~   )r   rs   z'multi_class must be in \('ovo', 'ovr'\)c                     t        d      }|j                  dd      }t        |      }|j                  ddd      }t	        j
                  t        |       5  t        ||fi | d d d        y # 1 sw Y   y xY w)N     r   r   r   r   )r#   randr   r   r   r   r   r   )r<  kwargsrD   rG   y_probrI   s         rJ   #test_roc_auc_score_multiclass_errorrD    sn    N S
!Chhr1oGWF[[AB['F	z	- 0ff//0 0 0s   A//A8c                     t        d      } | j                  d      }t        j                  dd      }d}t	        j
                  t        |      5  t        ||       d d d        t        j                  dd      }t	        j
                  t        |      5  t        ||       d d d        t        j                  ddd      }t	        j
                  t        |      5  t        ||       d d d        t        j                  d	      5  t        d      } | j                  d      }t        j                  dd      }t	        j
                  t        |      5  t        ||       d d d        t        j                  dd      }t	        j
                  t        |      5  t        ||       d d d        t        j                  ddd      }t	        j
                  t        |      5  t        ||       d d d        d d d        y # 1 sw Y   xY w# 1 sw Y   qxY w# 1 sw Y   6xY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   QxY w# 1 sw Y   y xY w)
Nr?  
   r4   dtypezROC AUC score is not definedr   rN   T)record)r#   rA  r1   r   r   r   r   r   r   r   warningscatch_warnings)rD   rH   rI   err_msgs       rJ   test_auc_score_non_binary_classrM  )  s    S
!CXXb\FXXb&F,G	z	1 &ff%&WWRu%F	z	1 &ff%&WWR5)F	z	1 &ff%& 
	 	 	- * %""E*]]:W5 	*&&)	*5)]]:W5 	*&&)	*Ru-]]:W5 	*&&)	** *& && && &	* 	*	* 	*	* 	** *sy   HH H!AIH.':I!H:.;I)I6IHH!H+.H7	3I:I	?II	II
curve_funcc                     t        d      }|j                  ddd      }|j                  d      }d}t        j                  t
        |      5   | ||       d d d        y # 1 sw Y   y xY w)Nr?  r   r   rF  r   z"multiclass format is not supportedr   )r#   r   rA  r   r   r   )rN  rD   rI   rH   r<  s        rJ   &test_binary_clf_curve_multiclass_errorrP  I  s_    
S
!C[[AB['FXXb\F
.C	z	- #66"# # #s   
A!!A*c                    d}t        j                  t        |      5   | t        j                  ddgd      ddg       d d d        t        j                  t        |      5   | t        j                  ddgt
              ddg       d d d        d	}t        j                  t        |      5   | t        j                  d
dgd      ddg       d d d        g d} | g d|      } | g d|      }t        ||      D ]%  \  }}t        j                  j                  ||       ' y # 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   pxY w)Nzy_true takes value in {'a', 'b'} and pos_label is not specified: either make y_true take value in {0, 1} or {-1, 1} or pass pos_label explicitly.r   r   r   z<U1rG  r   r[   zy_true takes value in {b'a', b'b'} and pos_label is not specified: either make y_true take value in {0, 1} or {-1, 1} or pass pos_label explicitly.   a   bz<S1)r   r[   r   gzG?)r   r,   r,   r   )r   r[   r[   r   )	r   r   r   r1   r   objectziptestingr   )rN  r<  rH   	int_curvefloat_curveint_curve_partfloat_curve_parts          rJ   (test_binary_clf_curve_implicit_pos_labelr[  S  s;   
	  
z	- B288S#Je4sCjAB 
z	- C288S#Jf5SzBC	  
z	- D288T4L6c
CD
 #F<0I16:K,/	;,G E((


"">3CDE-B BC CD Ds#   #D*$'D60#E*D36D?Ec                     g d}g d}g d} | |||      } | |d d |d d |d d       }t        ||      D ]  \  }}t        ||        y )Nr   )r   r   r   r   r~   )r,   r,   r,   r~   r   r   rN   )rU  r   )rN  rI   rG   r   result_1result_2arr_1arr_2s           rJ   (test_binary_clf_curve_zero_sample_weightra  w  sf    F'G%M&'GH&"+ws|=QTRTCUVHHh/ &uu%&rL   c                    t        d      \  }}}t        |||        t        |dd  |dd  |       \  }}}|d   dk(  sJ |d   |dd  j                         k(  sJ d|t	        j
                  |dk(        <   |j                         }t        |||        t        ||       g d}g d	}	t        ||	|       \  }}}| r+t        |g d
       t        |g d       t        |g d       n*t        |g d       t        |g d       t        |g d	       |j                  |j                  k(  sJ |j                  |j                  dz   k(  sJ y )NTr   r,   r   r   r[   rN   r,   r   r   r,   )r,   r%   r   r   )r~   QUU?r[   r[   )r[   r~   r~   r   )r,   r%   r   )r~   rd  r~   r[   r[   )r[   r~   r~   r~   r   )
rK   _test_precision_recall_curver   meanr1   wherecopyr   r   r   )
r   rI   rv   rG   rC   rr   y_true_copyr   predict_probass
             rJ   test_precision_recall_curverl    s<   (5FAw $7 %VABZPTUGAq!Q43;;Q46!":??$$$$ %'F288FaK !++-K $7{F+F!N$V^tTGAq!67/09%;<45<(66QVV66QVVaZrL   c                    t        | ||      \  }}}t        | |      }t        |dd       t        |t        | |             t	        t        | |      |d       |j                  |j                  k(  sJ |j                  |j                  dz   k(  sJ t        | t        j                  |      |      \  }}}|j                  |j                  k(  sJ |j                  |j                  dz   k(  sJ y )Nr   grh|?r   r%   r   r,   )	r   rl   r   r   r   rd   r   r1   
zeros_like)rI   rG   r   rC   ri  r   precision_recall_aucs          rJ   re  re    s    -fgQUVAq*267C2E1=5fgF 67+-A1 66QVV66Z__q((((-g&$Aq* 66QVV66Z__q((((rL   c           	      h   t        j                  d      5  ddg}ddg}t        |||       \  }}}t        ||      }t	        |g d       t	        |g d       t        |d       ddg}ddg}t        |||       \  }}}t        ||      }t	        |g d	       t	        |g d
       t        |d       ddg}ddg}t        |||       \  }}}t        ||      }t	        |ddg       t	        |ddg       t        |d       ddg}ddg}t        |||       \  }}}t        ||      }t	        |g d       t	        |g d       t        |d       ddg}ddg}t        |||       \  }}}t        ||      }t	        |ddg       t	        |ddg       t        |d       ddg}ddg}t        j                  t        d      5  t        |||       \  }}}d d d        t        j                  t        d      5  t        ||      }d d d        t        |g d       t        |g d       t        |d       ddg}ddg}t        |||       \  }}}t        t        ||      d       t	        |g d       t	        |g d       t        j                  ddgddgg      }t        j                  ddgddgg      }t        j                  t        d      5  t        t        ||d      d       d d d        t        j                  t        d      5  t        t        ||d      d       d d d        t        t        ||d      d       t        t        ||d      d       t        j                  ddgddgg      }t        j                  ddgddgg      }t        j                  t        d      5  t        t        ||d      d       d d d        t        j                  t        d      5  t        t        ||d      d       d d d        t        t        ||d      d       t        t        ||d      d       t        j                  ddgddgg      }t        j                  ddgddgg      }t        t        ||d      d       t        t        ||d      d       t        t        ||d      d       t        t        ||d      d       t        j                  ddgddgg      }t        j                  ddgddgg      }t        j                  t        d      5  t        t        ||d      d       d d d        t        t        ||d      d       t        j                  t        d      5  t        t        ||d      d       d d d        t        j                  t        d      5  t        t        ||d      d       d d d        t        j                  ddgddgg      }t        j                  ddgddgg      }t        t        ||d      d       t        t        ||d      d       t        t        ||d      d       t        t        ||d      d       t        j                  ddgddgg      }t        j                  ddgddgg      }t        t        ||d      d       t        t        ||d      d       t        t        ||d      d       t        t        ||d      d       d d d        t        j                  d      5  t        j                  ddgddgg      }t        j                  ddgddgg      }t        j                  t        d      5  t        t        ||d      d       d d d        d d d        y # 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   gxY w# 1 sw Y   8xY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   y xY w)Nraise)allr   r,   r   )r~   r,   r,   r   r[   )r~   r   r[   r  r~   r   r   r   z!No positive class found in y_truer   r   )r[   r[   r[   )r,   r~   r   r   r   r   r   r   ignore)r1   errstater   r   r   r   r   r   UserWarningr   r   )r   rI   rG   rC   ri  rv   auc_prcs          rJ   #test_precision_recall_curve_toydatarw    s   		! V
Qa&(DQ1a)&':!![1!!Y/GS)Qa&(DQ1a)&':!!_5!!_5 	GS)Qa&(DQ1a)&':!!c1X.!!c1X.GS)Qa&(DQ1a)&':!![1!!Y/GS)Q*(DQ1a)&':!!c1X.!!aX.GS)Q,\\+-PQ 	V,VWPTUGAq!	V\\+-PQ 	?-fg>G	?9%9%#Q,(DQ1a3FGDcJ!!_5!!]3 Aq6Aq6*+((QFQF+,\\+-PQ 	'I3	 \\+-PQ 	'Lc	 	#FGYG	
 	/QSVWAq6Aq6*+((QFQF+,\\+-PQ 	'I3	 \\+-PQ 	'Lc	 	#FGYG	
 	/QSVWAq6Aq6*+((QFQF+,#FGWEs	
 	#FGZH#	
 	#FGYG	
 	#FGWEs	
 Aq6Aq6*+((QFQF+,\\+-PQ 	'I3	 	#FGZH#	
 \\+-PQ 	'KS	 \\+-PQ 	'I3	
 Aq6Aq6*+((QFQF+,/QSVW#FGZH#	
 	#FGYG	
 	/QSVWAq6Aq6*+((S#Jc
34#FGWEs	
 	#FGZH#	
 	#FGYG	
 	#FGWEs	
iV
p 
	" Aq6Aq6*+((QFQF+,\\+-PQ 	'La		 S	V 	V	? 	? 	 		 		 		 	4	 		 		 	sV
 V
x	 		 s  F*`^#`7^'C`^4*#`_&B	`/_#`+_D`#_(<;`7_5#`3`D4`A`(0`	`(^$	`'^1	,`4^>	9`_	`_	`_%	 `(_2	-`5_?	:``	```%	!`((`1c                  D   g d} g d}t        | |d      \  }}}t        |g d       g d} g d}t        | |d      \  }}}t        |g d       g d	} g d
}t        | |d      \  }}}t        |ddg       g d} g d
}t        | |d      \  }}}t        |g d
       y)z9Check the behaviour of the `drop_intermediate` parameter.r   r   Tr   )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,   N)r   r   )rI   rG   rh   ri   r   s        rJ   -test_precision_recall_curve_drop_intermediater{  ^  s    F,G$:4%!Ivz J0 5FOG$:4%!Ivz J >? F"G$:4%!Ivz Jc
+ F"G$:4%!Ivz J 45rL   c                      t        j                  dt              } d| d d d<   t        j                  d      }t	        | |      dk(  sJ y )Nr   rG  r,   r   r   )r1   r   r4   r   r   rI   rG   s     rJ   &test_average_precision_constant_valuesr~    sE    
 XXc%FF3Q3KggclG #673t;;;rL   c                      t        j                  ddg      } t        j                  ddg      }d}t        j                  t        |      5  t        | |d       d d d        y # 1 sw Y   y xY w)Nr   r,   z>pos_label=2 is not a valid label. It should be one of \[0, 1\]r   r%   rT   r1   r   r   r   r   r   rI   rH   rL  s      rJ   4test_average_precision_score_binary_pos_label_errorsr    sZ    XXq!fFXXq!fFOG	z	1 =!<= = =s   A$$A-c                     t        j                  ddgddgddgddgg      } t        j                  ddgddgddgddgg      }d}t        j                  t        |      5  t        | |d	       d d d        y # 1 sw Y   y xY w)
Nr,   r   r   r   r   r   znParameter pos_label is fixed to 1 for multilabel-indicator y_true. Do not set pos_label or set pos_label to 1.r   r  r  r  s      rJ   8test_average_precision_score_multilabel_pos_label_errorsr    s     XX1v1v1v1v67FXXSzC:SzC:FGF	6  
z	1 =!<= = =s    A88Bc            	          t        j                  g d      } t        j                  g dg dg dg dg dg dg      }d}t        j                  t        |      5  t        | |d	       d d d        y # 1 sw Y   y xY w)
N)r   r,   r%   r   r,   r%   )r~   r   r   )r   r~   r   )r   r   r   )r   r   r~   zdParameter pos_label is fixed to 1 for multiclass y_true. Do not set pos_label or set pos_label to 1.r   r   r  r  r  s      rJ   8test_average_precision_score_multiclass_pos_label_errorsr    sq    XX()FXX	
	F	6  
z	1 =!<= = =s   A44A=c                  \   t        d      \  } }}t        | |      }t        | d|z        }t        | d|z        }t        | |dz
        }||k(  sJ ||k(  sJ ||k(  sJ t        | |      }t        | d|z        }t        | d|z        }	t        | |dz
        }
||k(  sJ ||	k(  sJ ||
k(  sJ y )NTr   r   gư>rF  )rK   r   r   )rI   rv   rG   r   roc_auc_scaled_uproc_auc_scaled_downroc_auc_shiftedpr_aucpr_auc_scaled_uppr_auc_scaled_downpr_auc_shifteds              rJ   test_score_scale_invariancer    s     )5FAwFG,G%fcGm<'w?#FGbL9O''''))))o%%%$VW5F.vsW}E0H,VWr\BN%%%%''''^###rL   z(y_true,y_score,expected_fpr,expected_fnrr   r   )r   r   r~   )r~   r   r,   r   r~   r   r   r   r   r   )r,   r,   r~   r   r   )r   r~   r~   c                 T    t        | |      \  }}}t        ||       t        ||       y Nr   r   rI   rG   expected_fprexpected_fnrrt   fnrrv   s          rJ   test_det_curve_toydatar    s*    6 FG,KCaC&C&rL   r   r~   r~   c                 T    t        | |      \  }}}t        ||       t        ||       y r  r  r  s          rJ   test_det_curve_tie_handlingr    s*     FG,KCaC&C&rL   c                  T    t        t        g dg d      t        g dg d             y )Nr   r   r   )r   r   r~   r~   r,   r,   )r   r    rL   rJ   test_det_curve_sanity_checkr    s     )[)$&<=rL   rG   )r   r   r~   r   r,   c                     t        g dt        j                  d|             \  }}}t        |dg       t        |dg       t        || g       y )N)r   r,   r   r,   r   r,   r   r}  r,   r   )r   r1   r   r   )rG   rt   r  rj   s       rJ   test_det_curve_constant_scoresr    sI    #!2771g+>Ci C!C!Iy)rL   rI   )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,   c                 Z    t        | |       \  }}}t        |dg       t        |dg       y )Nr}  r   r  )rI   rt   r  rv   s       rJ   test_det_curve_perfect_scoresr    s.     66:KCaC!C!rL   zy_true, y_pred, err_msgzinconsistent numbers of samplesr   r   r   z Only one class present in y_truer,   r,   r,   )cancerr  
not cancer)r   r   r   zpos_label is not specifiedc                 |    t        j                  t        |      5  t        | |       d d d        y # 1 sw Y   y xY w)Nr   )r   r   r   r   r  s      rJ   test_det_curve_bad_inputr  +  s1      
z	1 "&&!" " "   2;c                  Z   dgdz  dgdz  z   } t        j                  g d      }d|z
  }t        | |d      \  }}}t        | |d      \  }}}|d   t        j                  d	      k(  sJ |d   t        j                  d
      k(  sJ t        ||d d d          t        ||d d d          y )Nr  r   r  r   )
r   r   r   r   r   r   r~   r   r   r   r,   r  r   r   r   rN   )r1   r   r   r   r#  r   )	rI   y_pred_pos_not_cancery_pred_pos_cancerfpr_pos_cancerfnr_pos_cancerth_pos_cancerfpr_pos_not_cancerfnr_pos_not_cancerth_pos_not_cancers	            rJ   test_det_curve_pos_labelr  ?  s    Z!^|nq00FHH%WX114=51NNM
 AJA=*,= v}}S1111Q6==#5555 N$6tt$<=N$6tt$<=rL   c                    t         | ddggddgg      d       t         | ddggddgg      d       t         | ddggddgg      d       t         | g dgg dg      d       t         | g dgg dg      d       t         | g d	gg dg      d       t         | g d
gg dg      d       t         | g dgg dg      d       t         | g dgg dg      d       t         | g dgg dg      d       t         | g dgg dg      d       t         | g d	gg dg      d       t         | g d
gg dg      d       t         | g dgg dg      d       t         | g dgg dg      d       t         | g dgg dg      d       t         | g dgg dg      d       t         | g dgg dg      d       t         | g d	gg dg      d       t         | g d
gg dg      d       t         | g dgg dg      d       t         | g dgg dg      d       t         | g dgg dg      d       t         | ddggddgg      d       t         | ddggddgg      d       t         | ddggddgg      d       t         | g dgg dg      d       t         | g dgg dg      d       t         | g d	gg dg      d       t         | g d
gg dg      d       t         | g dgg dg      d       t         | g dgg dg      d       t         | g dgg dg      d       t         | g dgg dg      d       t         | g dgg dg      d       y )Nr   r,   r   r   r~   r   r  r   r   r   gUUUUUU?r   g?r   g?r   r~   r   r  r~   r   r   r  )r~   r~   r~   UUUUUU?)r,   r,   r,   r   )r~   r~   r~   r~   )r   
lrap_scores    rJ   check_lrap_toyr  Y  sp   
QF8tTl^<a@
QF8tTl^<eD
QF8tTl^<a@
I;1B0CDaH
I;1B0CDeL
I;1B0CDaH
I;1B0CDeLI;!2 346I I;!2 346I 
I;1B0CDeL
I;1B0CDeLI;!2 346I 
I;1B0CDaH
I;1B0CDoV
I;1B0CDaH
I;1B0CDaH
I;1B0CDeL
I;1B0CDaH
I;1B0CDoV
I;1B0CDeLI;!2 346I 
I;1B0CDaH
I;1B0CDaH 
QF8sCj\:C@
QF8sCj\:C@
QF8sCj\:A>
I;1A0BCSI
I;1A0BCSI
I;1A0BCQG
I;1A0BCUKI;!1 235H I;!1 235H 
I;1A0BCQG
I;0ABEJ
L>4H3IJERrL   c           	         t        d      }t        dd      D ]  }|j                  d|f      }t        j                  |      }t        j
                  d|f      } | ||      dk(  sJ  | ||      dk(  sJ t        j                  d|f      } | ||      dk(  sJ  | ||      dk(  rJ  t         | dgdgdgdggdgdgdgdgg      d       y )Nr   r%   r   r,   r   r[   r~   )r#   r]   uniformr1   rn  r   r   r   )r  r+   n_labelsrG   y_score_tiesrI   s         rJ   !check_zero_or_all_relevant_labelsr    s    %a(L!QK 7&&QM&:}}W- 1h-(&'*c111&,/3666 !X'&'*c111&,/36667 QC!qcA3'3%#u)EFrL   c                    t        j                  t              5   | g dg d       d d d        t        j                  t              5   | g dg dg dg dg       d d d        t        j                  t              5   | g dg dg dg dg       d d d        t        j                  t              5   | ddgddggddg       d d d        t        j                  t              5   | ddgddggddgg       d d d        t        j                  t              5   | ddgddggdgdgg       d d d        t        j                  t              5   | ddggddgddgg       d d d        t        j                  t              5   | dgdggddgddgg       d d d        t        j                  t              5   | ddgddggdgdgg       d d d        y # 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   _xY w# 1 sw Y   9xY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   y xY w)	Nr   )r   r   r   r   )r   r   r   )r   r   r   )r   r   r   r   r,   )r   r   r   r  s    rJ   check_lrap_error_raisedr    s   	z	" 09./0	z	" U90/?STU	z	" 
//R	

 
z	" -QFQF#aV,-	z	" /QFQF#q!fX./	z	" 1QFQF#qcA3Z01	z	" /QF8q!fq!f-./	z	" 1QC!:AA/01	z	" 1QFQF#qcA3Z01 1)0 0U U
 
- -/ /1 1/ /1 11 1sk   G	G$?G15G>(HHH$H0:H<G!$G.1G;>HHH!$H-0H9<Ic           	         t        dd      D ]v  }t        j                  d|f      }t        d|      D ]N  }t        ||z
        D ];  }t        j                  d|f      }d|d|||z   f<   t	         | ||      ||z         = P x y )Nr%   rF  r,   r   )r]   r1   r   r   r   )r  r  rG   
n_relevantrU   rI   s         rJ   check_lrap_only_tiesr    s     !RL 	X''1h-(  8, 	XJX
23 X1h-045q#j 0001#Jvw$?hAVWX	X		XrL   c                    t        dd      D ]  }|t        j                  |      j                  d|f      dz   z
  }t        j                  d|f      }d|d<   d|d<   t         | ||      d|z  dz   dz         t        d|      D ]g  t        |z
        D ]T  t        j                  d|f      }d|dz   f<   t         | ||      t        fdt              D                     V i  y )Nr%   rF  r,   )r   r   )r   rN   r   c              3   @   K   | ]  }|d z   |z   d z   z  z    yw)r,   Nr  ).0ri  r  rU   s     rJ   	<genexpr>z>check_lrap_without_tie_and_increasing_score.<locals>.<genexpr>  s/       QC!GaK:#=>s   )r]   r1   r2   rP   r   r   rQ   )r  r  rG   rI   r  rU   s       @@rJ   +check_lrap_without_tie_and_increasing_scorer    s    !RL bii1991h-H1LM 1h-(tuJvw7!h,:Ja9OP  8, 	JX
23 	1h-045q#j 0001#vw/ !&z!2 		rL   c                    t        | |       t        |       } t        |      }| j                  \  }}t        j                  |f      }t        |      D ]  }t        j                  ||   d      \  }}|j                  }||z
  t        j                  |dz         j                         }	|	   | |   j                         d   }
|
j                  dk(  s|
j                  |k(  rd||<   d||<   |
D ]*  t        fd|
D              }||xx   |   z  z  cc<   , ||xx   |
j                  z  cc<    |j                         S )z8Simple implementation of label ranking average precisionT)return_inverser,   )	minlengthr   r   c              3   4   K   | ]  }|      k    y wr  r  )r  ri  labelranks     rJ   r  z_my_lrap.<locals>.<genexpr>  s      JAaDK!7 Js   )r"   r!   r0   r1   emptyr]   rO   r   bincountcumsumnonzerorQ   rf  )rI   rG   rA   r  r`   ra   unique_rankinv_rankn_ranks	corr_rankrelevantn_ranked_abover  r  s               @@rJ   _my_lrapr    sJ   FG, F'"G ,,IxHHi\"E9 " !#		'!*T JX""! KK!<CCE	!9$$&q)==A(!:E!Ha 	5E ! J JJN !He44H	5 	aHMM!5"8 ::<rL   r   c                    t        dd|||      \  }}t        |j                  d   |j                  d   |      }t        |d      r|j	                         }t        ||      }t        ||      }t        ||       t        |      }|j                  ||f      }t        ||      }t        ||      }t        ||       y )Nr,   F)rB   allow_unlabeledr+   	n_classesrA   r   )n_componentsrB   r+   toarrayr   )
r   r   r0   hasattrr  r   r  r   r#   r  )	r  r  rA   r+   rv   rI   rG   
score_lrapscore_my_lraps	            rJ   %check_alternative_lrap_implementationr    s     /!IAv $\\!_<<?!G w	"//#6vwGJVW-M
M2 &l3L""I(>"?G6vwGJVW-M
M2rL   checkfuncc                      | |       y r  r  )r  r  s     rJ   test_label_ranking_avpr  5  s     
$KrL   c                  "    t        t               y r  )r  r   r  rL   rJ   test_lrap_error_raisedr  C  s    ABrL   rA   )r,   r%   r   r@  r  )r%   r   rF  r+   c                 (    t        t        || |       y r  )r  r   )rA   r  r+   s      rJ   $test_alternative_lrap_implementationr  G  s     *-y)\rL   c                  l   t        j                  g dg dg dgt              } t        j                  g dg dg dg      }t        j                  g d      }t        j                  g d	      }t        t	        | ||
      t        j
                  ||z        t        j
                  |      z         y )Nr  rc  ry  rG  )r   r   r   r   )r   r   r   r   r   r   r   r   )r~   r   r[   )r[   r[   r   r   )r1   r   boolr   r   rQ   )rI   rG   samplewise_lrapsr   s       rJ   &test_lrap_sample_weighting_zero_labelsr  P  s     XX|\<@MFhh	35IJG xx 01HH_-M-G=	
 	}//0266-3HH	rL   c            	         t        t        ddggddgg      d       t        t        ddggddgg      d       t        t        ddggddgg      d       t        t        ddggddgg      d       t        t        g dgg dg      d       t        t        g dgg dg      d       t        t        g d	gg dg      d       t        t        g d
gg dg      d       t        t        g dgg dg      d       t        t        g dgg dg      d       t        t        g dgg dg      d       t        t        g dgg dg      d       t        t        g dgg dg      d       t        t        g dgg dg      d       t        t        g d	gg dg      d       t        t        g d
gg dg      d       t        t        g dgg dg      d       t        t        g dgg dg      d       t        t        g dgg dg      d       t        t        g dgg dg      d       t        t        g dgg dg      d       t        t        g dgg dg      d       t        t        g d	gg dg      d       t        t        g d
gg dg      d       t        t        g dgg dg      d       t        t        g dgg dg      d       t        t        g dgg dg      d       t        t        g dgg dg      d       t        t        g d	g dgg dg dg      d       t        t        g d	g dg d
gg dg dg dg      d       t        t        g d	g dg d
gg dg dg dg      d       y )Nr   r,   r   r   r%   r  r  r   r   r   r   r   r   r   r  r  r  r   g      $@r   r,   r   r)  r   rF  r  r9  g@r   r,   r   r   r   r  rL   rJ   test_coverage_errorr  e  s   Ax4,@!DAx4,@!DAx4,@!DAx4,@!D	{5F4GH!L	{5F4GH!L	{5F4GH!L	{5F4GH!L	{5F4GH!L	{5F4GH!L	{5F4GH!L	{5F4GH!L	{5F4GH!L	{5F4GH!L	{5F4GH!L	{5F4GH!L	{5F4GH!L	{5F4GH!L	{5F4GH!L	{5F4GH!L	{5F4GH!L	{5F4GH!L	{5F4GH!L	{5F4GH!L	{5F4GH!L	{5F4GH!L	{5F4GH!L	{5F4GH!L 	9-/KL
 	9-y)/T	
 		 	9-y)/T	
 		rL   c                     t        t        ddggddgg      d       t        t        ddggddgg      d       t        t        ddggddgg      d       t        t        ddggddgg      d       t        t        g dgg dg      d       t        t        g dgg dg      d       t        t        g dgg dg      d       t        t        g d	gg dg      d       t        t        g d
gg dg      d       t        t        g dgg dg      d       t        t        g dgg dg      d       t        t        g dgg dg      d       y )Nr   r~   r,   r%   r  r  r   r   r   r   r   r   r   r  r  r  rL   rJ   test_coverage_tie_handlingr    s.   Ax3*>BAx3*>BAx3*>BAx3*>B	{5E4FGK	{5E4FGK	{5E4FGK	{5E4FGK	{5E4FGK	{5E4FGK	{5E4FGK	{5E4FGKrL   zy_true, y_scorec                 |    t        j                  t        d      5  t        | |       d d d        y # 1 sw Y   y xY w)Nz'Expected 2D array, got 1D array insteadr   )r   r   r   r   r}  s     rJ   test_coverage_1d_error_messager    s2     
z)S	T (vw'( ( (r  c            	      h   t        t        ddggddgg      d       t        t        ddggddgg      d       t        t        g dgg dg      d       t        t        g dgg dg      d       t        t        g d	gg dg      d       t        t        g d
gg dg      d       t        t        g dgg dg      d       t        t        g dgg dg      d       t        t        ddggddgg      d       t        t        ddggddgg      d       t        t        ddggddgg      d       t        t        ddggddgg      d       t        t        g dgg dg      d       t        t        g dgg dg      d       t        t        g dgg dg      d       t        t        g dgg dg      d       t        t        g dg dgg dg dg      d       t        t        g dg dg d	gg dg dg dg      d       t        t        g dg dg d	gg dg dg dg      d       y )Nr   r,   r   r   r   r  r   r~   r   r   r[   r   r   r  r  r  r  r  r  r  r9  r  r   r   r  rL   rJ   test_label_ranking_lossr     s   *QF8tTl^DaH*QF8tTl^DaH*I;9J8KLaP*I;9J8KLeT*I;9J8KLaP*I;9J8KLeT*I;9J8KLeT*I;9J8KLeT *QF8tTl^DaH*QF8tTl^DaH*QF8sCj\BAF*QF8sCj\BAF*I;9J8KLaP*I;9J8KLaP*I;9I8JKQO*I;9I8JKQO Iy1OY3OP
 	9-y)/T	
 	"	 	9-y)/T	
 	"	rL   csr_containerc                 z    t        t         | t        j                  g dg dg            g dg dg      d       y )Nr   r   r  r  r~   )r   r   r1   r   )r  s    rJ   test_label_ranking_loss_sparser    s4    "((Iy#9:;mY=W	
 		rL   c                  .   t        j                  t              5  t        ddgddggddg       d d d        t        j                  t              5  t        ddgddggddgg       d d d        t        j                  t              5  t        ddgddggdgdgg       d d d        t        j                  t              5  t        ddggddgddgg       d d d        t        j                  t              5  t        dgdggddgddgg       d d d        t        j                  t              5  t        ddgddggdgdgg       d d d        y # 1 sw Y   !xY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   sxY w# 1 sw Y   y xY w)Nr   r,   )r   r   r   r   r  rL   rJ   $test_ranking_appropriate_input_shaper    s   	z	" 5QFQF+aV45	z	" 7QFQF+q!fX67	z	" 9QFQF+qcA3Z89	z	" 7QF8q!fq!f%567	z	" 9QC!:AA'789	z	" 9QFQF+qcA3Z89 95 57 79 97 79 99 9sG   EEE'?E36E?.FEE$'E03E<?FFc                     t        t        ddggddgg      d       t        t        ddggddgg      d       t        t        g dgg dg      d       t        t        g dgg dg      d       t        t        g dgg dg      d       t        t        g dgg dg      d       t        t        g d	gg dg      d       t        t        g d
gg dg      d       y )Nr,   r   r~   r   r  r   r   r   r   r   r  r  rL   rJ   test_ranking_loss_ties_handlingr     s    *QF8sCj\BAF*QF8sCj\BAF*I;9I8JKUS*I;9I8JKUS*I;9I8JKQO*I;9I8JKQO*I;9I8JKQO*I;9I8JKQOrL   c                      t        dd      \  } }| dz   }t        ||       t        j                  j	                  d      j                  d      \  }}t        ||       y Nr   rF  )r+   r  r,   )r%   r   rF  )r   _test_dcg_score_forr1   r5   r6   random_samplerv   rI   rG   s      rJ   test_dcg_scorer    sT    .ALIAvgkG(ii++A.<<\JOFG(rL   c                     t        j                  t        j                  | j                  d         dz         }t	        | |       }t	        | |      }||k  j                         sJ t	        | | d      |k  j                         sJ |j                  | j                  d   fk(  sJ |j                  | j                  d   fk(  sJ |t        j                  t        j                  |       d d d d df   |z  j                  d            k(  sJ y )Nr,   r%   r   kr   rN   axis)
r1   log2r2   r0   r   rr  r   r#  sortrQ   )rI   rG   discountidealr`   s        rJ   r
  r
    s    wwryya1A56Hvv.Evw/EUN!!!vv3u<AACCC;;6<<?,,,,;;6<<?,,,,FMM2776?1dd7#;h#F"K"KQR"K"STTTTrL   c            	         t        j                  t        j                  d      g      } t        j                  | j                        }t        | |      }t        | |d      }dt        j                  t        j                  dd            z  }|t        j                  |j                         | j                         z  g      k(  sJ |t        j                  || d d d d df   z  j                         g      k(  sJ d|dd	d f<   t        | |      }t        | |d      }|t        j                  || d d d d df   z  j                         g      k(  sJ |t        j                  |d d j                         | dd	d f   j                         z  |dd  j                         | dd d	f   j                         z  z   g      k(  sJ y )
Nr   Tignore_tiesr,   r%   r   rN   r   r   )r1   r/  r2   r   r0   r   r  r   r#  rQ   rf  )rI   rG   dcgdcg_ignore_ties	discountss        rJ   test_dcg_tiesr    s   ZZ1'Fhhv||$G
VW
-C(dKOBGGBIIaO,,I&--6;;=!@ ABBBBfmmi&DbD/.I-N-N-P,QRRRRGAqrEN
VW
-C(dKOfmmi&DbD/.I-N-N-P,QRRRR&--bqM&AB-"4"4"66m!F1bqb5M$6$6$889	
   rL   c            	          t        j                  d      j                  d      } t        | | dd      t	        j
                  t        | | dd            k(  sJ y )N   )r%   r   r   T)r  r  )r1   r2   rP   r   r   r#  )r   s    rJ   test_ndcg_ignore_ties_with_kr   3  sP    
		"f%AaaT2fmm1a1$/7   rL   c                      t        j                  g dg      } t        j                  g dg      }d}t        j                  t        |      5  t        | |       ddd       y# 1 sw Y   yxY w)zDCheck `ndcg_score` exception when `y_true` contains negative values.)g{Gzg(\gGz޿g(\?gQ?)gQ?gףp=
?r   gQ?gHzG?z7ndcg_score should not be used on negative y_true valuesr   N)r1   r   r   r   r   r   )rI   rG   r   s      rJ    test_ndcg_negative_ndarray_errorr"  :  sZ    XX89:Fhh678GP	z)9	: $67#$ $ $s   A$$A-c                     t        j                  d      j                  dd      } | t         j                  j	                  d      j                  dd| j                        z   }t        | |      }t        | |d	      }|t        j                  |      k(  sJ |t        j                  d
      k(  sJ |dz  }t        | |      t        j                  d
      k(  sJ y )NF   r   rF  r   皙ɿr   r   Tr  r[   r*  )
r1   r2   rP   r5   r6   r  r0   r   r   r#  )rI   rG   ndcgndcg_no_tiess       rJ   test_ndcg_invariantr(  C  s    YYr]""1b)Fryy,,Q/77c7UUGfg&Dfg4@L6==....6==%%%%tOGfg&&--*<<<<rL   r  c           
      ,   dt        j                  d      d d z  }t        j                  t        j                  ddd      d      }|t         j                  j                  d      j                  dd	|j                  
      z   }t        |||       t        j                  dt        j                  t        j                  dd            z        k(  sJ t        |||       t        j                  dt        j                  t        j                  dd            z        k(  sJ t        |||       t        j                  dt        j                  t        j                  dd            z        k(  sJ t        ||d|       t        j                  dt        j                  t        j                  dd            z        k(  sJ t        |||       t        j                  dt        j                  t        j                  dd            z  j                               k(  sJ t!        |||       t        j                  dt        j                  t        j                  dd            z  j                               k(  sJ dt        j"                  d      z  }dt        j                  t        j                  dd            z  j%                         }t        |||       t        j                  |t        j"                  d      z        k(  sJ t        |||       t        j                  t        j"                  d            k(  sJ t!        |||       t        j                  |      k(  sJ t        |||       t        j                  d      k(  sJ y )Nr   r   r   r   rN   )r   r,   r   r%  r   r   r  r%   r,   rF  )log_baser  )r   r   	   r[   )r1   eyetiler2   r5   r6   r  r0   r   r   r#  r  r   log10r   rf  r   r   rQ   )r  rI   rG   y_score_noisyexpected_dcg_scores        rJ   test_ndcg_toy_examplesr1  N  s   2AFggbii2r*F3Gbii33A6>>c ?  M [	q277299Q?33	45 5 5 ;	q277299Q?33	45 5 5 [	q277299Q?33	45 5 5 "+	q288BIIaO44	56 6 6 fg;?6==	
RWWRYYq!_%	%++-D    VW+>&--	
RWWRYYq!_%	%++-C     Fbggbii1o66;;=[	)BGGAJ6	78 8 8 [	rwwqz	"# # # VW+>&--C    fg;?6==QTCUUUUrL   c                      d} t        j                  t        |       5  t        dggdgg       ddd       y# 1 sw Y   yxY w)zhCheck that we raise an informative error message when trying to
    compute NDCG with a single document.zTComputing NDCG is only meaningful when there is more than 1 document. Got 1 instead.r   r,   N)r   r   r   r   )rL  s    rJ   test_ndcg_error_single_documentr3  u  sC    	  
z	1 !QC5A3% ! ! !s	   8Ac                      t        dd      \  } }| dz   }t        ||       t        j                  j	                  d      j                  d      \  }}t        ||       y r	  )r   _test_ndcg_score_forr1   r5   r6   r  r  s      rJ   test_ndcg_scorer6    sT    .ALIAvgkG)ii++A.<<\JOFG)rL   c                    t        | |       }t        | |      }||k  j                         sJ | dk(  j                  d      }||    t        j                  t	        j
                  | j                                     k(  sJ ||   t        j                  t	        j                  |j                                     k(  sJ ||    t        j                  t        | |      |    t        | |       |    z        k(  sJ ||   t        j                  t	        j                  |j                                     k(  sJ |j                  | j                  d   fk(  sJ |j                  | j                  d   fk(  sJ y )Nr   r,   r  )
r   rr  r   r#  r1   r   rQ   r   r   r0   )rI   rG   r  r`   all_zeros        rJ   r5  r5    sR   /E0EUN!!!!  a (H(v}}RWWxi__5F-GHHHH?fmmBHHX\\^,DEEEE(v}}67+XI6
VV
,hY
7	8     ?fmmBHHX\\^,DEEEE;;6<<?,,,,;;6<<?,,,,rL   c            	      .   t        j                  g d      } t        | | d      dk(  sJ t        | | d      dk(  sJ t        j                  t
              5  t        | | d      sJ 	 d d d        t        j                  t
              5  t        | | d      sJ 	 d d d        t        j                  t
              5  t        | | d      sJ 	 d d d        t        j                  g d      }t        | |d      }t        | |      }||k(  sJ t        | |d	      d
k(  sJ t        d      \  } }}t        j                  ddd      D ]%  }t        t        | ||      t        | ||             ' y # 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   xY w)Nr  r,   )rs   gMbP?gg?r   )r   r   r   g{Gz?r   r~   Tr   g-C6?r   )
r1   r   r   r   r   r   rK   linspacer   r   )rI   r   roc_auc_with_max_fpr_oneunconstrained_roc_aucrH   rv   rs   s          rJ   test_partial_roc_auc_scorer=    sw   XXl#F3q88871<<<	z	" ;VVT:::;	z	" :VVS999:	z	" 8VVQ7778 xx+,H,VXqI)&(;#'<<<<373>>>'t4FFA;;tQ* 
&&':"667;	

; ;: :8 8s$   E2
E?=F2E<?FFzy_true, k, true_scorer   r%   r   r   c                     t        j                  g dg dg dg dg      }t        | ||      }|t        j                  |      k(  sJ y )Nr  r   r   r   r   r   r   r   r   r   r   r   r   r  r1   r   r   r   r#  )rI   r  
true_scorerG   r`   s        rJ   test_top_k_accuracy_scorerD    sJ     hh    		
G !A6EFMM*----rL   zy_score, k, true_score)rN   rN   r,   r,   )rN   r,   rN   r,   )r   r   r   r   )r   r   r   r   c                 ,   g d}| j                         dk\  r| j                         dk  rdnd}|dk(  r"| |kD  j                  t        j                        n|}t        || |      }t        ||      }||cxk(  rt        j                  |      k(  sJ  J y )Nr  r   r,   r~   r  )	minmaxastyper1   int64r   r	   r   r#  )rG   r  rC  rI   rj   rH   r`   	score_accs           rJ    test_top_k_accuracy_score_binaryrK    s     F{{})gkkmq.@aI78Avg	!))"((36F A6Evv.II:z!::::::rL   zy_true, true_score, labels)r   r,   r,   r%   )r   r,   r,   r,   rz  )r   r:  r:  r   )r   r   r  r:  labels_as_ndarrayc                     |rt        j                  |      }t        j                  g dg dg dg dg      }t        | |d|      }|t	        j
                  |      k(  sJ y)z,Test when labels and y_score are multiclass.r  r?  r@  rA  r%   r  r   N)r1   r/  r   r   r   r#  )rI   rC  r   rL  rG   r`   s         rJ   0test_top_k_accuracy_score_multiclass_with_labelsrO    s]     F#hh    		
G !AfEEFMM*----rL   c            
         t        j                  dddd      \  } }t        | |d      \  }}}}t        d      }|j	                  ||       t        ||f||f      D ]f  \  } }t        dd      D cg c]  }t        ||j                  |       |      ! }}t        j                  t        j                  |      dkD        rfJ  y c c}w )NrF  r*  r   )r  rA   n_informativer+   )r+   r%   r  )r   make_classificationr   r   r:   rU  r]   r   r;   r1   rr  r   )	r?   r@   X_trainX_testy_trainy_testrF   r  scoress	            rJ   $test_top_k_accuracy_score_increasingrX    s    ''BQDAq (811'M$GVWf
!
,CGGGWWf%'89 +1HMaQS
CD C$5$5a$8A>
 
 vvbggfo)***+
s   2$Cc                     t        j                  g dg dg dg dg      }t        | ||      t        j                  |      k(  sJ y )N)r   r   r   r   )r,   r   r   r   )r   r   r   r   rz  r  rB  )rI   r  rC  rG   s       rJ   test_top_k_accuracy_score_tiesrZ    sE     hh		
G  15z9RRRRrL   z	y_true, kr   c                     t        j                  g dg dg dg dg      }d}t        j                  t        |      5  t        | ||      }d d d        dk(  sJ y # 1 sw Y   xY w)	Nr  )r   r   r   r   )r   r   r   r   )r   r   r   r   zu'k' \(\d+\) greater than or equal to 'n_classes' \(\d+\) will result in a perfect score and is therefore meaningless.r   r  r,   )r1   r   r   r   r   r   )rI   r  rG   r   r`   s        rJ   !test_top_k_accuracy_score_warningr\  #  sn     hh    		
G	6  
,4D	E ;$VW:;A::; ;s   AA'zy_true, y_score, labels, msg)r   g=
ףp=?r,   r%   )r   r   r   )r   r   r   r   )r   r~   r   z9y type must be 'binary' or 'multiclass', got 'continuous'zZNumber of classes in 'y_true' \(4\) not equal to the number of classes in 'y_score' \(3\).)r   r   r   r   z"Parameter 'labels' must be unique.z#Parameter 'labels' must be ordered.)r   r   r,   r%   zSNumber of given labels \(4\) not equal to the number of classes in 'y_score' \(3\).r  z3'y_true' contains labels not in parameter 'labels'.)r~   r   r   )r   r   r   z}`y_true` is binary while y_score is 2d with 3 classes. If `y_true` does not contain all the labels, `labels` must be providedc                     t        j                  t        |      5  t        | |d|       d d d        y # 1 sw Y   y xY w)Nr   r%   rN  )r   r   r   r   )rI   rG   r   r<  s       rJ   test_top_k_accuracy_score_errorr^  <  s:    f 
z	- BVW&AB B Bs   5>c                      | g dg dg      }t        j                  g dg dg      }t        ||      }|t        j                  d      k(  sJ y )Nr   r   )r~   r   r   r  )r1   r   r   r   r#  )r  rI   rG   results       rJ   Otest_label_ranking_avg_precision_score_should_allow_csr_matrix_for_y_true_inputra    sI     Iy12Fhh34G267CFV]]5))))rL   metricr,  ))FT)r   r,   )r   r[   )zeroonec                    t         j                  j                  d      }d|d   }}|j                  ||d      }|j	                  |      } | |||      }t        |t              rt        j                  |      rJ y|\  }}	}
t        j                  |      j                         rJ t        j                  |	      j                         rJ t        j                  |
      j                         rJ y)zCheck that the metric works with different types of `pos_label`.

    We can expect `pos_label` to be a bool, an integer, a float, a string.
    No error should be raised for those types.
    *   rF  rN   T)r   replacer  N)	r1   r5   r6   choicerA  
isinstancerR   isnanany)rb  r,  rD   rA   rT   rI   y_probar`  metric_1metric_2r   s              rJ   #test_ranking_metric_pos_label_typesro    s     ))


#Cwr{yIZZiZ>Fhhy!GFGy9F&% 88F####)/&(J88H%))+++88H%))+++88J'++----rL   c                     t         j                  j                  |       }|j                  ddd      }|j	                  d      }t        ||      \  }}}t        j                  |d         sJ y)zCheck that thresholds do not exceed 1.0 when `y_score` is a probability
    estimate.

    Non-regression test for:
    https://github.com/scikit-learn/scikit-learn/issues/26193
    r   r%   rF  r   N)r1   r5   r6   r   rA  r   isinf)r2  rD   rI   rG   rv   r   s         rJ   (test_roc_curve_with_probablity_estimatesrr    sc     ))

 2
3C[[AB['FhhrlG 1Aq*88JqM"""rL   )NF)r   r@  r   )r   rJ  numpyr1   r   scipyr   sklearnr   r   sklearn.datasetsr   sklearn.exceptionsr   sklearn.linear_modelr   sklearn.metricsr	   r
   r   r   r   r   r   r   r   r   r   r   r   sklearn.metrics._rankingr   r   sklearn.model_selectionr   sklearn.preprocessingr   sklearn.random_projectionr   sklearn.utils._testingr   r   r   r   sklearn.utils.extmathr   sklearn.utils.fixesr    sklearn.utils.validationr!   r"   r#   CURVE_FUNCSrK   rY   rd   rl   r   markparametrizer   r   r   r   r   r   r   r   r   r   r   r   r   r  r  r  r'  r8  r=  rD  rM  rP  r[  ra  rl  re  rw  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(  r1  r3  r6  r5  r=  rD  rK  rO  rX  rZ  r\  r^  ra  ro  rr  r  rL   rJ   <module>r     s   	     ! ; 5 3    M 4 0 ;  * .  )#`2<&H8 $/
) 0
)
")&#))8)6eNPM	).&" 	,	+	,	&	/	t$	/X/Xd 	,	+	&	'9: 	,	&	t$	y!	/	D D:( 	,hbhh|.DiP/BHH)*	
 BHH\"	
 1BHH)*	
 BHH\"F	
 BHH)*#J	
 BHH\"	
 BHH)* 	
 ABHH)*	
 ABHH)*	
 ABHH\"	
}CFN 7P 8OFPP ' "%8	
' "%8	
F "B7	
 "c2	
 
4R8="F	0G"F	0*@ {3# 4# {3 E 4 EF {3	& 4	& $/  0 >), $/` 0`F6D<=
==*$2 .	K!qc*	NQC!-	NQC!-	%sQC0	K#,	NSEA3/	NSEA3/	%uqc2	K#,	NQC!-	NQC!-	%sQC0	Ki8	NK;	NK;	%{I>	KM:	NI}=	NI}=	%y-@)2'32' .
Q#saS1#&
Q#saS1#&	$seaS1	$seaS1	$qcA3/	$qcA3/	$qcA3/	$qcA3/	'' $EF* G* 							 
Q?@	QH?@	K!CD	K!CD.(	

"">48Sv.14X6#N 9:3@ 3)	 "G!RS TC m4j1q2 3 2 5*4nL  	$%	%&'
&'(((V .9 :9 	P)U($= u6#V 7#VL!*- 
4 	q$	q#	q$
.
. 	.	!1a(	.	!1c*	.	!1a(	&	'A.	&	'C0	&	'A.
	;
	;  	,	|4	,	l3	,	l3	&	'/CD	 ,tUm<. =.&+& 	q$	q#	q!
S
S 	q	q$ " 	 G
	
 	 +	
 !	 !0
	
 !	 1
	
 	  	
 	 A
	
 Fo.W	
KNQdBeQdB
 .9* :* &	3I9U C..(#rL   