+
    iM                         ^ RI HtHt ^ RIHtHtHtHtHtH	t	H
t
Ht R tR tR tR tR tR tR	 tR
 tR tR tR tR tR tR tR tR tR# )    )SRational)gauss_legendregauss_laguerregauss_hermitegauss_gen_laguerregauss_chebyshev_tgauss_chebyshev_ugauss_jacobigauss_lobattoc                     \        ^^4      w  rV  Uu. uF  p\        V4      NK  	  upR.8X  g   Q hV Uu. uF  p\        V4      NK  	  upR.8X  g   Q h\        ^^4      w  rV  Uu. uF  p\        V4      NK  	  upRR.8X  g   Q hV Uu. uF  p\        V4      NK  	  upRR.8X  g   Q h\        ^^4      w  rV  Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\        V4      NK  	  up. RO8X  g   Q h\        ^^4      w  rV  Uu. uF  p\        V4      NK  	  up. R	O8X  g   Q hV Uu. uF  p\        V4      NK  	  up. R
O8X  g   Q hR# u upi u upi u upi u upi u upi u upi u upi u upi )   02.0000000000000000z-0.57735026918962576z0.577350269189625761.0000000000000000N)z-0.77459666924148338r   z0.77459666924148338)0.55555555555555556z0.88888888888888889r   )z-0.86113631159405258z-0.33998104358485626z0.33998104358485626z0.86113631159405258)0.347854845137453860.65214515486254614r   r   r   strxwrs      c/var/www/html/photoedit/myenv/lib/python3.14/site-packages/sympy/integrals/tests/test_quadrature.pytest_legendrer      s   !R DAAqCFA3%'''AqCFA#7"8888!R DAAqCFA"!## # # # AqCFA  #" " " " !R DAAqCFA ## # # # AqCFA ## # # #
 !R DAAqCFA ## # # #
 AqCFA ## # # #7   
   
 s.   EE'E#E(=E-!E2E77E<c                      \        ^^(4      w  rV  Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hR# u upi u upi )   N)z+-0.7745966692414833770358530799564799221666r   z*0.7745966692414833770358530799564799221666)*0.5555555555555555555555555555555555555556z*0.8888888888888888888888888888888888888889r   r   r   s      r   test_legendre_preciser    ,   sp    !R DAAqCFA #: : : : AqCFA #: : : :	  
   AAc                     \        ^^4      w  rV  Uu. uF  p\        V4      NK  	  upR.8X  g   Q hV Uu. uF  p\        V4      NK  	  upR.8X  g   Q h\        ^^4      w  rV  Uu. uF  p\        V4      NK  	  upRR.8X  g   Q hV Uu. uF  p\        V4      NK  	  upRR.8X  g   Q h\        ^^4      w  rV  Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\        V4      NK  	  up. RO8X  g   Q h\        ^^4      w  rV  Uu. uF  p\        V4      NK  	  up. R	O8X  g   Q hV Uu. uF  p\        V4      NK  	  up. R
O8X  g   Q h\        ^^4      w  rV  Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hR# u upi u upi u upi u upi u upi u upi u upi u upi u upi u upi )r   r   z0.58578643762690495z3.4142135623730950z0.85355339059327376z0.14644660940672624N)z0.41577455678347908z2.2942803602790417z6.2899450829374792)z0.71109300992917302z0.27851773356924085z0.010389256501586136)z0.32254768961939231z1.7457611011583466z4.5366202969211280z9.3950709123011331)z0.60315410434163360z0.35741869243779969z0.038887908515005384z0.00053929470556132745)z0.26356031971814091z1.4134030591065168z3.5964257710407221z7.0858100058588376z12.640800844275783)z0.52175561058280865z0.39866681108317593z0.075942449681707595z0.0036117586799220485z2.3369972385776228e-5r   r   r   s      r   test_laguerrer$   8   s-   !R DAAqCFA#7"8888AqCFA#7"8888!R DAAqCFA! #" " " " AqCFA!!## # # # !R DAAqCFA #   
 AqCFA #    !R DAAqCFA #" " " "
 AqCFA #& & & & !R DAAqCFA #" " " " AqCFA #% % % %U   
 
  
   :   F/F4'F9F>=G!GG7G)GGc                      \        ^^(4      w  rV  Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hR# u upi u upi )r   N)z*0.4157745567834790833115338731282744735466z)2.294280360279041719822050361359593868960z)6.289945082937479196866415765512131657493)z*0.7110930099291730154495901911425944313094z*0.2785177335692408488014448884567264810349z+0.01038925650158613574896492040067908765572r#   r   s      r   test_laguerre_preciser'   l   sp    !R DAAqCFA #9 9 9 9 AqCFA #; ; ; ;	  r!   c                     \        ^^4      w  rV  Uu. uF  p\        V4      NK  	  upR.8X  g   Q hV Uu. uF  p\        V4      NK  	  upR.8X  g   Q h\        ^^4      w  rV  Uu. uF  p\        V4      NK  	  upRR.8X  g   Q hV Uu. uF  p\        V4      NK  	  upRR.8X  g   Q h\        ^^4      w  rV  Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\        V4      NK  	  up. RO8X  g   Q h\        ^^4      w  rV  Uu. uF  p\        V4      NK  	  up. R	O8X  g   Q hV Uu. uF  p\        V4      NK  	  up. R
O8X  g   Q h\        ^^4      w  rV  Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hR# u upi u upi u upi u upi u upi u upi u upi u upi u upi u upi )r   r   1.7724538509055160-0.707106781186547520.70710678118654752z0.88622692545275801N)z-1.2247448713915890r   z1.2247448713915890)0.29540897515091934z1.1816359006036774r,   )z-1.6506801238857846z-0.52464762327529032z0.52464762327529032z1.6506801238857846)0.0813128354472451770.80491409000551284r.   r-   )z-2.0201828704560856z-0.95857246461381851r   z0.95857246461381851z2.0201828704560856)0.0199532420590459130.39361932315224116z0.94530872048294188r0   r/   r   r   r   s      r   test_hermiter2   x   s+   BDAAqCFA3%'''AqCFA#7"8888BDAAqCFA"!## # # # AqCFA!!## # # # BDAAqCFA #" " " " AqCFA ## # # #
 BDAAqCFA #" " " "
 AqCFA #$ $ $ $ BDAAqCFA #" " " " AqCFA #$ $ $ $Q   
   
   r%   c                      \        ^^(4      w  rV  Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hR# u upi u upi )r   N)z*-1.224744871391589049098642037352945695983r   z)1.224744871391589049098642037352945695983)*0.2954089751509193378830279138901908637996z)1.181635900603677351532111655560763455198r4   r1   r   s      r   test_hermite_preciser5      sp    BDAAqCFA #5 5 5 5 AqCFA #6 6 6 6	  r!   c                     \        ^\        R^4      ^4      w  rV  Uu. uF  p\        V4      NK  	  upR.8X  g   Q hV Uu. uF  p\        V4      NK  	  upR.8X  g   Q h\        ^\        R^4      ^4      w  rV  Uu. uF  p\        V4      NK  	  upRR.8X  g   Q hV Uu. uF  p\        V4      NK  	  upRR.8X  g   Q h\        ^\        R^4      ^4      w  rV  Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\        V4      NK  	  up. RO8X  g   Q h\        ^\        R^4      ^4      w  rV  Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\        V4      NK  	  up. RO8X  g   Q h\        ^\        R^4      ^4      w  rV  Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\        V4      NK  	  up. RO8X  g   Q h\        ^^^4      w  rV  Uu. uF  p\        V4      NK  	  upR.8X  g   Q hV Uu. uF  p\        V4      NK  	  upR.8X  g   Q h\        ^^^4      w  rV  Uu. uF  p\        V4      NK  	  upRR	.8X  g   Q hV Uu. uF  p\        V4      NK  	  upR
R.8X  g   Q h\        ^^^4      w  rV  Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\        V4      NK  	  up. RO8X  g   Q h\        ^^^4      w  rV  Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\        V4      NK  	  up. RO8X  g   Q h\        ^^^4      w  rV  Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hR# u upi u upi u upi u upi u upi u upi u upi u upi u upi u upi u upi u upi u upi u upi u upi u upi u upi u upi u upi u upi )r   0.50000000000000000r)   z0.27525512860841095z2.7247448713915890z1.6098281800110257z0.16262567089449035z3.0000000000000000r   z6.0000000000000000z1.5000000000000000N)z0.19016350919348813z1.7844927485432516z5.5253437422632603)z1.4492591904487850z0.31413464064571329z0.0090600198110176913)z0.14530352150331709z1.3390972881263614z3.9269635013582872z8.5886356890120343)z1.3222940251164826z0.41560465162978376z0.034155966014826951z0.00039920814442273524)z0.11758132021177814z1.0745620124369040z3.0859374437175500z6.4147297336620305z11.807189489971737)z1.2217252674706516z0.48027722216462937z0.067748788910962126z0.0026872914935624654z1.5280865710465241e-5)z1.5173870806774125z4.3115831337195203z9.1710297856030672)z1.0374949614904253z0.90575000470306537z0.056755033806509347)z1.2267632635003021z3.4125073586969460z6.9026926058516134z12.458036771951139)z0.72552499769865438z1.0634242919791946z0.20669613102835355z0.0043545792937974889)z1.0311091440933816z2.8372128239538217z5.6202942725987079z9.6829098376640271z15.828473921690062)z0.52091739683509184z1.0667059331592211z0.38354972366693113z0.028564233532974658z0.00026271280578124935r   r   r   r   s      r   test_gen_laguerrer:      s   a"a"5DAAqCFA#8"9999AqCFA#7"8888a"a"5DAAqCFA! #" " " " AqCFA !## # # # a"a"5DAAqCFA #" " " " AqCFA #% % % %
 a"a"5DAAqCFA #" " " "
 AqCFA #& & & & a"a"5DAAqCFA #" " " " AqCFA #% % % % aB'DAAqCFA#7"8888AqCFA#7"8888aB'DAAqCFA  #" " " " AqCFA !## # # # aB'DAAqCFA #" " " " AqCFA #$ $ $ $
 aB'DAAqCFA #" " " "
 AqCFA #% % % % aB'DAAqCFA #" " " " AqCFA #& & & &q   
   
      
   
   sw   NN=N!!N&N+N0?N5#N: N?O7O	OO0O#OO":O'O,O15O6c                     \        ^\        R^4      ^(4      w  rV  Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\        V4      NK  	  up. RO8X  g   Q h\        ^^^(4      w  rV  Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hR# u upi u upi u upi u upi )r   Nr8   )z*0.1901635091934881328718554276203028970878z)1.784492748543251591186722461957367638500z)5.525343742263260275941422110422329464413)z)1.449259190448785048183829411195134343108z*0.3141346406457132878326231270167565378246z,0.009060019811017691281714945129254301865020)z)1.517387080677412495020323111016672547482z)4.311583133719520302881184669723530562299z)9.171029785603067202098492219259796890218)z)1.037494961490425285817554606541269153041z*0.9057500047030653669269785048806009945254z+0.05675503380650934725546688857812985243312r9   r   s      r   test_gen_laguerre_preciser<     s    a"a"5DAAqCFA #9 9 9 9 AqCFA #< < < <
 aB'DAAqCFA #9 9 9 9 AqCFA #; ; ; ;    s   B;C 5CC
c                     \        ^^4      w  rV  Uu. uF  p\        V4      NK  	  upR.8X  g   Q hV Uu. uF  p\        V4      NK  	  upR.8X  g   Q h\        ^^4      w  rV  Uu. uF  p\        V4      NK  	  upRR.8X  g   Q hV Uu. uF  p\        V4      NK  	  upRR.8X  g   Q h\        ^^4      w  rV  Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\        V4      NK  	  up. RO8X  g   Q h\        ^^4      w  rV  Uu. uF  p\        V4      NK  	  up. R	O8X  g   Q hV Uu. uF  p\        V4      NK  	  up. R
O8X  g   Q h\        ^^4      w  rV  Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hR# u upi u upi u upi u upi u upi u upi u upi u upi u upi u upi )r   r   3.1415926535897932r+   r*   1.5707963267948966N)0.86602540378443865r   -0.86602540378443865)1.0471975511965977rB   rB   )z0.92387953251128676z0.38268343236508977z-0.38268343236508977z-0.92387953251128676)0.78539816339744831rC   rC   rC   )z0.95105651629515357z0.58778525229247313r   z-0.58778525229247313z-0.95105651629515357)0.62831853071795865rD   rD   rD   rD   r	   r   r   s      r   test_chebyshev_trF   .  s+   Q#DAAqCFA3%'''AqCFA#7"8888Q#DAAqCFA!"#$ $ $ $ AqCFA  #" " " " Q#DAAqCFA #$ $ $ $ AqCFA #" " " "
 Q#DAAqCFA #$ $ $ $
 AqCFA ## # # # Q#DAAqCFA #$ $ $ $ AqCFA ## # # #Q   
   
   r%   c                      \        ^^(4      w  rV  Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hR# u upi u upi )r   N)z*0.8660254037844386467637231707529361834714r   z+-0.8660254037844386467637231707529361834714))1.047197551196597746154214461093167628066rH   rH   rE   r   s      r   test_chebyshev_t_preciserI   `  sp    Q#DAAqCFA #; ; ; ; AqCFA #9 9 9 9	  r!   c                     \        ^^4      w  rV  Uu. uF  p\        V4      NK  	  upR.8X  g   Q hV Uu. uF  p\        V4      NK  	  upR.8X  g   Q h\        ^^4      w  rV  Uu. uF  p\        V4      NK  	  upRR.8X  g   Q hV Uu. uF  p\        V4      NK  	  upRR.8X  g   Q h\        ^^4      w  rV  Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\        V4      NK  	  up. RO8X  g   Q h\        ^^4      w  rV  Uu. uF  p\        V4      NK  	  up. R	O8X  g   Q hV Uu. uF  p\        V4      NK  	  up. R
O8X  g   Q h\        ^^4      w  rV  Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hR# u upi u upi u upi u upi u upi u upi u upi u upi u upi u upi )r   r   r?   r7   -0.50000000000000000rC   N)r+   r   r*   )0.39269908169872415rC   rL   )0.80901699437494742z0.30901699437494742-0.30901699437494742z-0.80901699437494742)0.217078713422705990.56831944997474231rP   rO   )r@   r7   r   rK   rA   )0.13089969389957472rL   z0.52359877559829887rL   rQ   r
   r   r   s      r   test_chebyshev_urS   l  s+   Q#DAAqCFA3%'''AqCFA#7"8888Q#DAAqCFA!"#$ $ $ $ AqCFA!!## # # # Q#DAAqCFA #$ $ $ $ AqCFA ## # # #
 Q#DAAqCFA #$ $ $ $
 AqCFA ## # # # Q#DAAqCFA #$ $ $ $ AqCFA ## # # #Q   
   
   r%   c                      \        ^^(4      w  rV  Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hR# u upi u upi )r   N)z*0.7071067811865475244008443621048490392848r   z+-0.7071067811865475244008443621048490392848)*0.3926990816987241548078304229099378605246z*0.7853981633974483096156608458198757210493rU   rR   r   s      r   test_chebyshev_u_preciserV     sp    Q#DAAqCFA #; ; ; ; AqCFA #: : : :	  r!   c                     \        ^\        R^4      \        P                  ^4      w  rV  Uu. uF  p\	        V4      NK  	  upR.8X  g   Q hV Uu. uF  p\	        V4      NK  	  upR.8X  g   Q h\        ^\        R^4      \        P                  ^4      w  rV  Uu. uF  p\	        V4      NK  	  upRR.8X  g   Q hV Uu. uF  p\	        V4      NK  	  upRR.8X  g   Q h\        ^\        R^4      \        P                  ^4      w  rV  Uu. uF  p\	        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\	        V4      NK  	  up. RO8X  g   Q h\        ^\        R^4      \        P                  ^4      w  rV  Uu. uF  p\	        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\	        V4      NK  	  up. RO8X  g   Q h\        ^\        R^4      \        P                  ^4      w  rV  Uu. uF  p\	        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\	        V4      NK  	  up. RO8X  g   Q h\        ^^^^4      w  rV  Uu. uF  p\	        V4      NK  	  upR.8X  g   Q hV Uu. uF  p\	        V4      NK  	  upR.8X  g   Q h\        ^^^^4      w  rV  Uu. uF  p\	        V4      NK  	  upR	R
.8X  g   Q hV Uu. uF  p\	        V4      NK  	  upRR.8X  g   Q h\        ^^^^4      w  rV  Uu. uF  p\	        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\	        V4      NK  	  up. RO8X  g   Q h\        ^^^^4      w  rV  Uu. uF  p\	        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\	        V4      NK  	  up. RO8X  g   Q h\        ^^^^4      w  rV  Uu. uF  p\	        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\	        V4      NK  	  up. RO8X  g   Q hR# u upi u upi u upi u upi u upi u upi u upi u upi u upi u upi u upi u upi u upi u upi u upi u upi u upi u upi u upi u upi )r   r7   r>   rN   rM   z0.86831485369082398z2.2732777998989693z0.14285714285714286z1.0666666666666667z-0.24025307335204215z0.46247529557426437z0.48514624517838660z0.58152042148828007Nr8   )z-0.62348980185873353z0.22252093395631440z0.90096886790241913)z0.33795476356635433z1.0973322242791115z1.7063056657443274)z-0.76604444311897804z-0.17364817766693035r7   z0.93969262078590838)z0.16333179083642836z0.57690240318269103rB   z1.3541609083740761)z-0.84125353283118117z-0.41541501300188643z0.14231483827328514z0.65486073394528506z0.95949297361449739)z0.090675770007435372z0.33391416373675607z0.65248870981926643z0.94525424081394926z1.1192597692123861)z-0.46115870378089762z0.10438533038323902z0.62950064612493132)z0.17937613502213266z0.61595640991147154z0.27133412173306246)z-0.59903470850824782z-0.14761105199952565z0.32554377081188859z0.72879429738819258)z0.067809641836772187z0.38956404952032481z0.47995970868024150z0.12933326662932816)z-0.69045775012676106z-0.32651993134900065z0.082337849552034905z0.47517887061283164z0.79279429464422850)z0.027410178066337099z0.21291786060364828z0.43908437944395081z0.32220656547221822z0.065047683080512268r   r   r   Halfr   r   s      r   test_jacobirZ     s   8B?AFFB7DAAqCFA#8"9999AqCFA#7"88888B?AFFB7DAAqCFA"!## # # # AqCFA! #" " " " 8B?AFFB7DAAqCFA ## # # # AqCFA #" " " "
 8B?AFFB7DAAqCFA ## # # #
 AqCFA #" " " " 8B?AFFB7DAAqCFA ## # # # AqCFA #" " " " 1a$DAAqCFA#8"9999AqCFA#7"88881a$DAAqCFA"!## # # # AqCFA!!## # # # 1a$DAAqCFA ## # # # AqCFA ## # # #
 1a$DAAqCFA ## # # #
 AqCFA ## # # # 1a$DAAqCFA ## # # # AqCFA #$ $ $ $q   
   
      
   
   sw   O'O,O1?O6O;/P ;PP
+PPP&PP#=P(1P-P2	P7-P<!QQc                     \        ^\        R^4      \        P                  ^(4      w  rV  Uu. uF  p\	        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\	        V4      NK  	  up. RO8X  g   Q h\        ^^^^(4      w  rV  Uu. uF  p\	        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\	        V4      NK  	  up. RO8X  g   Q hR# u upi u upi u upi u upi )r   Nr8   )z+-0.6234898018587335305250048840042398106323z*0.2225209339563144042889025644967947594664z*0.9009688679024191262361023195074450511659)z*0.3379547635663543330553835737094171534907z)1.097332224279111467485302294320899710461z)1.706305665744327437921957515249186020246)z+-0.4611587037808976179121958105554375981274z*0.1043853303832390210914918407615869143233z*0.6295006461249313240934312425211234110769)z*0.1793761350221326596137764371503859752628z*0.6159564099114715430909548532229749439714z*0.2713341217330624639619353762933057474325rX   r   s      r   test_jacobi_preciser\     s    8B?AFFB7DAAqCFA #: : : : AqCFA #9 9 9 9
 1a$DAAqCFA #: : : : AqCFA #: : : :    s   CCC)Cc                     \        ^^4      w  rV  Uu. uF  p\        V4      NK  	  upRR.8X  g   Q hV Uu. uF  p\        V4      NK  	  upRR.8X  g   Q h\        ^^4      w  rV  Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\        V4      NK  	  up. RO8X  g   Q h\        ^^4      w  rV  Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\        V4      NK  	  up. RO8X  g   Q h\        ^^4      w  rV  Uu. uF  p\        V4      NK  	  up. R	O8X  g   Q hV Uu. uF  p\        V4      NK  	  up. R
O8X  g   Q hR# u upi u upi u upi u upi u upi u upi u upi u upi )   -11r   Nr_   r   r`   )0.33333333333333333z1.3333333333333333rb   )r_   z-0.44721359549995794z0.44721359549995794r`   )0.166666666666666670.83333333333333333rd   rc   )r_   z-0.65465367070797714r   z0.65465367070797714r`   )0.100000000000000000.54444444444444444z0.71111111111111111rf   re   r   r   r   s      r   test_lobattorh   "  s   BDAAqCFA#    AqCFA  #" " " " BDAAqCFA #    AqCFA ## # # #
 BDAAqCFA #   
 AqCFA ## # # # BDAAqCFA #    AqCFA ## # # #I  
   
   s.   EE )E%E*?E/#E4E99E>c                      \        ^^(4      w  rV  Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hV Uu. uF  p\        V4      NK  	  up. RO8X  g   Q hR# u upi u upi )r   Nra   )*0.3333333333333333333333333333333333333333z)1.333333333333333333333333333333333333333rj   rg   r   s      r   test_lobatto_preciserk   P  sp    BDAAqCFA #    AqCFA #: : : :	  r!   N)
sympy.corer   r   sympy.integrals.quadraturer   r   r   r   r	   r
   r   r   r   r    r$   r'   r2   r5   r:   r<   rF   rI   rS   rV   rZ   r\   rh   rk        r   <module>rp      st    "E E E!#H	:1%h	;/$d	6_&D;,/#d	9/#d	:_$D:,+#\	:ro   