
    doi(2                        S SK r S SKrS SKJr  S SKrS SKJr  S SKJ	r	J
r
  S SKJr  S SKJrJrJr  \R"                  R$                  r\" \R&                  5       " S S5      5       r\" \R*                  5       " S	 S
5      5       rg)    N)raises)stats)normexpon)make_xp_test_case)xp_assert_closexp_assert_equalxp_assert_lessc                   n    \ rS rSrS rS rS rS rS rS r	S r
S	 rS
 rS rS rS rS rS rS rSrg)TestEntropy   c                    UR                  / SQ5      nUR                  / SQ5      n[        R                  " X"5      n[        R                  " X#5      n[        XAR                  S5      5        [	        U* UR                  S5      5        g )N)      ?皙?333333?)皙?g      ?g?        )asarrayr   entropyr	   r
   )selfxppkqkeselfedoubles         Z/var/www/html/land-ocr/venv/lib/python3.13/site-packages/scipy/stats/tests/test_entropy.pytest_entropy_positive!TestEntropy.test_entropy_positive   s_    ZZ(ZZ)*b%--'zz"~.xB0    c                    UR                  S5      n[        R                  " USS9n[        UR	                  US-
  5      UR                  S5      5        UR                  S5      nUR                  UR                  S5      S:  SU5      n[        R                  " X$5      n[        R                  " X$SS9n[        UR	                  X5-  [        R                  " S5      -
  5      UR                  S5      5        g )Nr          @baseg      @gh㈵>   )
onesr   r   r
   absr   wherearangemathlog)r   r   r   Sr   S2s         r   test_entropy_baseTestEntropy.test_entropy_base   s    WWR[MM"2&rvva"f~rzz%'89WWR[XXbiima'R0MM"!]]2+rvvadTXXb\12BJJu4EFr   c                     UR                  / SQ5      n[        [        R                  " U5      UR                  S5      5        g )N)r         ?r!   g R^?r   r   r   r   )r   r   xs      r   test_entropy_zeroTestEntropy.test_entropy_zero&   s0    JJ|$a(

#67	9r   c                     UR                  SS/SS/SS//5      nUR                  SS/SS/SS//5      n[        [        R                  " X#5      UR                  SS/5      5        g )Nr   r   333333?r   r   gN!0?2?r1   r   r   r   r   s       r   test_entropy_2dTestEntropy.test_entropy_2d,   sh    ZZ#sc3Z#s<=ZZ#sc3Z#s<=b-

Iz#:;	=r   c                 x   UR                  SS/SS/SS//5      nUR                  SS/SS/SS//5      n[        [        R                  " X#5      UR                  UR                  S/5      5        UR                  SS/SS/SS//5      n[        [        R                  " X#5      UR                  SS/5      5        g )	Nr   r   r6   r   r   r   r7   g^fTF?)r   r   r   r   infr8   s       r   test_entropy_2d_zero TestEntropy.test_entropy_2d_zero2   s    ZZ#sc3Z#s<=ZZ#sc3Z#s<=b-

BFFJ#78	: ZZ#sc3Z#s<=b-

J
#;<	>r   c                     UR                  SS/SS/SS//5      n[        [        R                  " USS9UR                  / SQ5      5        g )	Nr   r   r6   r   r      axis)R^?rC   gD%+?r1   r   r   r   s      r   $test_entropy_base_2d_nondefault_axis0TestEntropy.test_entropy_base_2d_nondefault_axis<   sF    ZZ#sc3Z#s<=bq1

#GH	Jr   c                     UR                  SS/SS/SS//5      nUR                  SS/SS/SS//5      n[        [        R                  " X#SS9UR                  / SQ5      5        g )	Nr   r   r6   r   r   r@   rA   ){[<?rH   gC8X?r1   r8   s       r   test_entropy_2d_nondefault_axis+TestEntropy.test_entropy_2d_nondefault_axisA   sg    ZZ#sc3Z#s<=ZZ#sc3Z#s<=b15

#GH	Jr   c                     UR                  SS/SS/SS//5      nUR                  SS/SS//5      nSn[        R                  " [        US9   [        R
                  " X#5        S S S 5        g ! , (       d  f       g = f)Nr   r   r6   r   r   /Array shapes are incompatible for broadcasting.match)r   pytestr   
ValueErrorr   r   )r   r   r   r   messages        r   test_entropy_raises_value_error+TestEntropy.test_entropy_raises_value_errorG   si    ZZ#sc3Z#s<=ZZ#sc3Z01C]]:W5MM"! 655s   A--
A;c                     UR                  SS/SS/SS//5      n[        [        R                  " USS9[        R                  " U5      5        g Nr   r   r6   r   r   r   rA   r1   rD   s      r   1test_base_entropy_with_axis_0_is_equal_to_default=TestEntropy.test_base_entropy_with_axis_0_is_equal_to_defaultN   sD    ZZ#sc3Z#s<=bq1b)	+r   c                     UR                  SS/SS/SS//5      nUR                  SS/SS/SS//5      n[        [        R                  " X#SS9[        R                  " X#5      5        g rU   r1   r8   s       r   ,test_entropy_with_axis_0_is_equal_to_default8TestEntropy.test_entropy_with_axis_0_is_equal_to_defaultS   se    ZZ#sc3Z#s<=ZZ#sc3Z#s<=b15b-	/r   c                     UR                  SS/SS/SS//5      n[        [        R                  " UR                  5      [        R                  " USS95        g Nr   r   r6   r   r   r@   rA   r   r   r   r   TrD   s      r   test_base_entropy_transposed(TestEntropy.test_base_entropy_transposedY   sH    ZZ#sc3Z#s<=bdd+bq1	3r   c           	          UR                  SS/SS/SS//5      nUR                  SS/SS/SS//5      n[        [        R                  " UR                  UR                  5      [        R                  " X#SS95        g r\   r]   r8   s       r   test_entropy_transposed#TestEntropy.test_entropy_transposed^   so    ZZ#sc3Z#s<=ZZ#sc3Z#s<=bddBDD1b15	7r   c                    [         R                  R                  S5      nUR                  UR                  S5      5      nUR                  UR                  S5      5      n[        R
                  " X4SS9n[        US   [        R
                  " X4S   5      5        [        US   [        R
                  " X4S	   5      5        g )
Nl   @UC<   )   r@   rA   r   )r   .r@   )r@   .)nprandomdefault_rngr   r   r   r	   )r   r   rngr2   yress         r   test_entropy_broadcasting%TestEntropy.test_entropy_broadcastingd   s    ii##$56JJszz!}%JJszz&)*mmAr*Aa6 ;<Aa6 ;<r   c                     UR                  S5      nUR                  S5      nSn[        R                  " [        US9   [        R
                  " X#5        S S S 5        g ! , (       d  f       g = f)N)
   r@      )   rf   rL   rM   r%   rO   r   rP   r   r   )r   r   r2   rl   rQ   s        r   test_entropy_shape_mismatch'TestEntropy.test_entropy_shape_mismatchl   sI    GGK GGGC]]:W5MM! 655s   A
A,c                     UR                  S5      nSn[        R                  " [        US9   [        R
                  " USS9  S S S 5        g ! , (       d  f       g = f)Nrq   z!`base` must be a positive number.rM   r"   rt   r   r   r2   rQ   s       r   test_input_validation!TestEntropy.test_input_validations   s<    GGBK5]]:W5MM!"% 655s   A
A N)__name__
__module____qualname____firstlineno__r   r-   r3   r9   r=   rE   rI   rR   rV   rY   r_   rb   rn   ru   rz   __static_attributes__r|   r   r   r   r      sP    1	G9=>J
J"+
/3
7= &r   r   c                      \ rS rSrSr\R                  R                  SSS\R                  " S\	" SSS	9\	" S
SS	9/S9S/5      r
S rS rS rS rS rS rS r\
S 5       rSSSSS.rSSSSS.r\\\\0r\
\R                  R                  S\\/5      S 5       5       r\R                  R                  S / S!Q5      S" 5       r\
\R                  R                  S#/ S$Q5      S% 5       5       rS&rg')(TestDifferentialEntropyz   z
Vasicek results are compared with the R package vsgoftest.

# library(vsgoftest)
#
# samp <- c(<values>)
# entropy.estimate(x = samp, window = <window_length>)

methodvasicekvan escorreaarray_api_strictzInvalid fancy indexing)reasonz
dask.array)marksebrahimic                    [         R                  R                  S5      nUR                  S5      nUR	                  UR                  5       5      n[        R                  " USS9n[        XAR	                  S5      5        [        R                  " USSS9n[        XAR	                  S5      5        [        R                  " US	SS9n[        XAR	                  S
5      5        g )Nr   d   r   r   - {?r@   )window_lengthr    ?r$   =&?	rh   ri   RandomStatestandard_normalr   tolistr   differential_entropyr   )r   r   random_statevaluesr   s        r   !test_differential_entropy_vasicek9TestDifferentialEntropy.test_differential_entropy_vasicek   s    yy,,Q/--c2FMMO,,,VIF,=!>?,,V14=?,=!>?,,V14=?,=!>?r   c                    [         R                  R                  S5      nUR                  S5      nUR	                  UR                  5       5      n[        R                  " USSS9nUR	                  / SQ5      n[        XE5        [        R                  " USSSS9nUR	                  / SQ5      n[        XE5        [        R                  " USS	SS9nUR	                  / S
Q5      n[        XE5        g )Nr   re   r   r@   r   )rB   r   )r   gUZdpx?gE7L?)rB   r   r   )r   gzG?gt?r$   )r   gl+ɍj?go4d?r   )r   r   r   r   r   refs         r   4test_differential_entropy_vasicek_2d_nondefault_axisLTestDifferentialEntropy.test_differential_entropy_vasicek_2d_nondefault_axis   s    yy,,Q/--h7FMMO,,,V!INjjRS%,,V!14=?jjQR%,,V!14=?jjRS%r   c                    [         R                  R                  S5      nUR                  S5      nUR	                  UR                  5       5      nSnUR                  S   nSSUS-  U1 H@  nUR                  UUS9n[        [        US9   [        R                  " UUSS	9  S S S 5        MB     g ! , (       d  f       MT  = f)
Nr   r   zhWindow length \({window_length}\) must be positive and less than half the sample size \({sample_size}\).r@   rg   rf   )r   sample_sizerM   )r   rB   )rh   ri   r   r   r   r   shapeformatassert_raisesrP   r   r   )r   r   r   r   	error_strr   r   formatted_error_strs           r   ,test_differential_entropy_raises_value_errorDTestDifferentialEntropy.test_differential_entropy_raises_value_error   s    yy,,Q/--h7FMMO,< 	
 ll1o ![!^[AM"+"2"2+' #3 #
 z1DE**"/ FE B FEs   B//
B>	c                    [         R                  R                  S5      nUR                  S5      nUR	                  UR                  5       5      n[        R                  " USS9n[        R                  " U5      n[        XE5        g )Nr   )r   re   rA   r   )r   r   r   r   r   default_entropys         r   >test_base_differential_entropy_with_axis_0_is_equal_to_defaultVTestDifferentialEntropy.test_base_differential_entropy_with_axis_0_is_equal_to_default   sd    yy,,Q/--h7FMMO,,,V!<44V<1r   c                    [         R                  R                  S5      nUR                  S5      nUR	                  UR                  5       5      n[        [        R                  " UR                  5      [        R                  " USS95        g )Nr   r   r@   rA   )
rh   ri   r   r   r   r   r   r   r   r^   )r   r   r   r   s       r   )test_base_differential_entropy_transposedATestDifferentialEntropy.test_base_differential_entropy_transposed   sd    yy,,Q/--h7FMMO,&&vxx0&&vA6	
r   c                    [         R                  " S5      nUR                  UR                  5       5      nSn[        R
                  " [        US9   [        R                  " USS9  S S S 5        Sn[        R
                  " [        US9   [        R                  " USS9  S S S 5        g ! , (       d  f       NH= f! , (       d  f       g = f)	Nrq   z+`base` must be a positive number or `None`.rM   rx   r"   z`method` must be one of...z	ekki-ekkir   )	rh   r%   r   r   rO   r   rP   r   r   ry   s       r   rz   -TestDifferentialEntropy.test_input_validation   s    GGBKJJqxxz"?]]:W5&&qr2 6 /]]:W5&&q= 65	 65 65s   B)
B:)
B7:
Cc                     [         R                  R                  S5      nUR                  UR                  SS95      n[        R
                  " U5      n[        R
                  " US S9n[        XTSS9  g )Nl   eY'rq   )size)r   {Gzt?rtol)rh   ri   rj   r   r   r   r   )r   r   rk   r2   r   rm   s         r   test_window_length_is_none2TestDifferentialEntropy.test_window_length_is_none   s\    ii##$67JJszzrz*+((+(($?u-r   c                 :   US:X  a  SOSn[         R                  R                  USS9nUR                  UR	                  5       5      nUR                  [        [         R                  R                  5       5      5      n[         R                  " XAS9n[        XeSS9  g )	Nr   '  i@B r   r   r   r   r   r   )	r   r   rvsr   r   floatr   r   r   )r   r   r   nr   expectedrm   s          r   test_consistency(TestDifferentialEntropy.test_consistency   sv     x'EWjjnn!!n4jj&::eEJJ$6$6$89:((<E2r   )gMbX?灕Cl?)gA`"?g)\(?)gHzG?gy&1?)gMb?r   )r   r   r   r   )gE?l?)gx?gOn?)gףp=
?g~jt?)gS?r   distc                    Su  pEnU R                   U   U   nUR                  US   5      UR                  US   5      pUR                  XE4SS9n
UR                  U
R                  5       5      n
UR                  [	        UR                  5       5      5      n[        R                  " XUSS9n[        UR                  UR                  X-
  S-  5      5      USS	9  [        UR                  USS
9U	SS	9  g )N)r   2      r   r@   r   rg   )r   r   rB   rf   r   )atol)
correctiongMb`?)rmse_std_casesr   r   r   r   r   r   r   r   sqrtmeanstd)r   r   r   r   repsr   mr   rmse_expectedstd_expectedr   true_entropyrm   s                r   test_rmse_std%TestDifferentialEntropy.test_rmse_std  s     "
&&t,V4&(jj!&=rzz(ST+?V|hhTIAh6jj&zz%"78((06RA);a(? @A%E	3sq1<eLr   z	n, method))r$   r   )rr   r   )i  r   c                     [         R                  R                  U4SS9nUR                  UR	                  5       5      n[         R
                  " U5      n[         R
                  " XBS9n[        XV5        g )Nr   r   r   )r   r   r   r   r   r   r	   )r   r   r   r   r   res1res2s          r   test_method_auto(TestDifferentialEntropy.test_method_auto&  sX     jjnn1$Qn7jj&))#.))#=#r   dtype)Nfloat32float64c                 h   / SQn[        U[        U5      S 5      n[        U[        U5      UR                  S5      R                  5      n[        R
                  " UR                  XES9US9n[        R
                  " UR                  XAR                  S9US9n[        XqR                  XS9S   5        g )N)r@   r@   rf   re   re         r      r   r$   	   rq   rs   r0   )r   r   r|   )getattrstrr   r   r   r   r   r   )	r   r   r   r   r2   dtype_in	dtype_outrm   r   s	            r   test_dtypes_gh21192+TestDifferentialEntropy.test_dtypes_gh211922  s     92s5z40BE
BJJrN,@,@A	((A)FvV((AZZ)HQWXZZZ=bABr   r|   N)r}   r~   r   r   __doc__rO   markparametrizeparamskip_xp_backendsmethodsr   r   r   r   r   rz   r   r   norm_rmse_std_casesexpon_rmse_std_casesr   r   r   r   r   r   r   r|   r   r   r   r   z   sa    kk%%h !3<TU 6NO	
 	1 G@"&(42

>. 3 3 '5%3%3'5	 (6&4&4(6	 /13N [[VdE]3M 4 M  [[[ + 
$
$ [[W&BC	C D 	Cr   r   )r)   rO   r   r   numpyrh   scipyr   scipy.statsr   r   scipy._lib._array_apir   scipy._lib._array_api_no_0dr   r	   r
   r   r   r   r   r   r   r|   r   r   <module>r      s      *   # 39 9 ;;// 5==!f& f& "f&R 5--.BC BC /BCr   