+
    ‰°³j<  ã            	       ó`  € ^ RI 5 ^ RIHt ^ RItR]P                  9   d;   ]! ]P                  ]P                  P                  R4      ^,           ,          4      tMRtR]P                  9   t^ s	R t
R t. t]! ]! ^^È4      4      ]! ]! ^ÉR	^4      4      ,            F  t]P!                  R
],          R.4       K  	  ]! Rj^È4       F7  t]P!                  R],          R.4       ]P!                  R],          R.4       K9  	  ]. RR.NRR.NRR.NRR.NRR.NRR.NRR.NRR.NRR.NRR.NRR.NRR.NRR.NRR.NRR.NRR.NRR.NRR.NRR.NR R.NRR.NR!R.NR"R.NR#R.NRR.NR$R.NR%R.NR&R'.NR(R'.NR)R*.NR+R,.NR-R..NR/R0.NR1R2.NR3R4.NR5R.NR6R7.NR8R.NR9R.NR:R.NR;R.NR<R.NR=R.NR>R.NR?R@.NRARB.NRCRD.NRERF.NRGR.NRHR.NRIR.NRJR.NRKR.NRLR.NRKR.NRMR.NRNR.NROR.NRPR.NROR.NRQRR.N,          tRk EF<  t]P!                  RS],          R.4       ]P!                  RT],          R.4       ]P!                  RU],          R.4       ]P!                  RV],          R.4       ]P!                  RW],          R.4       ]P!                  RX],          R.4       ]P!                  RY],          R.4       ]P!                  RZ],          R.4       ]P!                  R[],          R.4       ]P!                  R\],          R.4       ]P!                  R]],          R.4       ]P!                  R^],          R.4       EK?  	  Rl F|  tRm Fs  t]P!                  R_]: R`]: Ra2R.4       ]P!                  Rb]: R`]: Ra2R.4       ]P!                  R_]: R`]: Rc2R.4       ]P!                  Rb]: R`]: Rc2R.4       Ku  	  K~  	  ]Rd8X  dg   ^ ReIHt Rft] F@  t]! 4       t]! ]4       ]! 4       t]! Rg]],
          4       ]! 4        ]]],
          ,          tKB  	  ]! Rh]4       ]! Ri\        4       R# R# )né    )Ú*)ÚifacNz-dpséè  z-raisec                 óP  €  V! V4      pTP                  pTP                  pTP                  pTP                  p	\        ^,          p
^ p\        Yh,
          4      \        T4      T
,          8”  dt   ^p\        4        \        RT : R\        T^
4      : R\        T^
4      : R\        \        Yh,
          4      4      : R2	4       \         ^,          s \        '       d   \        h\        Yy,
          4      \        T	4      T
,          8”  dt   ^p\        4        \        RT : R\        T^
4      : R\        T	^
4      : R\        \        Yy,
          4      4      : R2	4       \         ^,          s \        '       d   \        hT'       g)   \
        P                  P                  R	T ,          4       R# R#    \         ^,          s \        '       d   h \        4        \        T 4       \        R4       ^ RIpTP	                  \
        P                  ! 4       ^,          4       \        4         R# ; i)
é   Ú	EXCEPTIONNzError! z (re = z	, wanted z, err=Ú)z (im = z%s ok; )ÚerrcountÚraise_ÚprintÚ	tracebackÚprint_tbÚsysÚexc_infoÚrealÚimagÚepsÚabsÚnstrÚ
SystemExitÚstdoutÚwrite)ÚnameÚfuncÚzÚyÚxr   ÚxreÚximÚyreÚyimÚtolÚerrs   &&&&        Ú]/home/luca/screen-checking/.venv/lib/python3.14/site-packages/mpmath/tests/extratest_gamma.pyÚcheckr%      sy  € ðÙ�‹Gˆð �&‰&€CØ
�&‰&€CØ
�&‰&€CØ
�&‰&€CÜ
ˆa�%€CØ
€CÜ
ˆ3�7ƒ|”c˜#“h˜s•lÔ"ØˆÜŒÝ»$ÄÀSÈÆÌdÐSVÐWYÎlÔ\`ÔadÐehÕelÓamÖ\nÐoÔpÜ�A�ˆß‹6ÜÐÜ
ˆ3�7ƒ|”c˜#“h˜s•lÔ"ØˆÜŒÝ»$ÄÀSÈÆÌdÐSVÐWYÎlÔ\`ÔadÐehÕelÓamÖ\nÐoÔpÜ�A�ˆß‹6ÜÐßÜ�
‰
×Ñ˜ TÕ)Ö*ñ øð?
Ü�A�ˆß‹6ØÜŒÜˆdŒÜˆkÔÛØ×Ñœ3Ÿ<š<›>¨!Õ,Ô-ÜŒÚús   ‚F- Æ-A5H%c                 óH  € V w  r\        R V4       R\        n        \        V4      p\        ^2,           \        n        Vf.   \        V4      p\        V4      p\        V4      p\        V4      pM'\        V4      p\        V4      pW,          p^V,          pR F‡  pV\        8”  d    R# V\        n        \        RV,          4       \        R\
        W4       \        R\        W4       \        R\        W4       \        R\        W4       \        4        ^\        n        K‰  	  R# )	zTesting z =iò  Nzdps = %sÚgammaÚrgammaÚloggammaÚ	factorial)é   é
   é   é   é(   é<   éZ   éx   éú   iX  r   i  i  )r   ÚmpÚdpsÚevalÚmaxdpsr'   r)   r*   r(   Úexpr%   )Úcaser   ÚresultÚ	gamma_valÚloggamma_valÚfactorial_valÚ
rgamma_valr5   s   &       r$   Útestcaser?   4   sß   € Ø�I€AÜ	ˆ-˜ÔØ„B„FÜˆQ‹€AÜ�b�[„B„FØ‚~Ü˜!“Hˆ	Ü “{ˆÜ! !›ˆÜ˜A“Y‰
ä˜F“|ˆÜ˜Ó%ˆ	Ø�ˆØ�y•[ˆ
ÛKˆØ”Œ<ÚØŒŒÜˆj˜3ÕÔÜˆg”u˜aÔ+Üˆhœ Ô.Üˆjœ( AÔ4Üˆkœ9 aÔ7ÜŒØŒŽó Ló    iÐ  z%sz%s+0.5z%s+0.37z(0.1+1j)z	(-0.1+1j)z(0.1-1j)z	(-0.1-1j)Ú10jz-10jÚ100jÚ10000jz
-10000000jz(10**100)*jz125+(10**100)*jz-125+(10**100)*jz(10**10)*(1+j)z(10**10)*(-1+j)z(10**100)*(1+j)z(10**100)*(-1+j)z(1.5-1j)z(6+4j)z(4+1j)z(3.5+2j)z(-6-4j)z(-2-3j)z	(-2.5-2j)z(3+3j)z(2-2j)Ú1Ú0Ú2Ú3zlog(2)Ú4zlog(6)Ú5zlog(24)z0.5z	log(pi)/2z1.5zlog(sqrt(pi)/2)z2.5zlog(3*sqrt(pi)/4)zmpf('0.37')z0.25z)log(sqrt(2*sqrt(2*pi**3)/agm(1,sqrt(2))))z-0.4zmpf('-1.9')zmpf('12.8')zmpf('33.7')zmpf('95.2')zmpf('160.3')zmpf('2057.8')Ú25zlog(ifac(24))Ú80zlog(ifac(79))Ú500zlog(ifac(500-1))Ú8000zlog(ifac(8000-1))z8000.5zmpf('8000.1')zmpf('1.37e10')zmpf('1.37e10')*(1+j)zmpf('1.37e10')*(-1+j)zmpf('1.37e10')*(-1-j)zmpf('1.37e100')zmpf('1.37e100')*(1+j)zmpf('1.37e100')*(-1+j)zmpf('1.37e100')*(-1-j)z3+4ja  mpc('-1.7566267846037841105306041816232757851567066070613445016197619371316057169472361826396083480461846305298860734828967253578064447068977111523651210600259708734715632405373076389685095561916961679704883904239638670319343338908388009531786948197210025029725361069435208930363494971027388382086721660805397916323064321605458016797620170995150951921863546031736733861250062671478363174983174780484475256740163443225458588326103258610863362045919438223029718235161814175530618223688296232894588415495615809337292518431903058265147109853171056894218498782764388681620045286085387381541336752982963143014622747051765799672222008686321794822143126731612769761171322046332838061619713895191371243359764435612951384238091232760634271570950240717650166551484551654327989936028503008171693413044615024511055703811707517257682549003543406938864812466781522545540015867361207626414225907787661003765157377139385212757490499491284143906816424244705094759339932733567910991920631339597278805393743140853391550313363278558195609260225928','4.74266443803465792819488940755002274088830335171164611359052405215840070271590681300937317113976705186354250813687568855081767037900279030487082277549828099966758775645041925653923672591196104389515931289826469459903721798606134294436498090428077839141927485901735557543641049637962003652638924845391650954629013775555010722490760652938524839066763429718336190205584222879898420095911804502117983417158744776290996876098194664579906420307070808945181689246805549314043258530272479246115112769957368212585759640878745385160943755234939803677490810820437032389675754312185365002552976365531236035424489891346371159557028288389233931136182050741628120897320644145308130874835332032440560546577484241423134079056537777170351934430586103623577814746004431994179990531852293907799261385520580149820193022197572124649872089512234542069845198000512157973103058858459643347618317513706729969847568154109777507997488135638784405288158432214886648743541773208808731479748217023665577802702269468013673719173759245720489020315779001')z
(2+j)*%s/3z(-2+j)*%s/3z(1+2*j)*%s/3z
(2-j)*%s/3z(20+j)*%s/3z(-20+j)*%s/3z(1+20*j)*%s/3z(20-j)*%s/3z(200+j)*%s/3z(-200+j)*%s/3z(1+200*j)*%s/3z(200-j)*%s/3zfadd(z,'z',exact=True)zfsub(zj',exact=True)Ú__main__)Údefault_timerg        z
Test time:zTotal time:zErrors:é8ÿÿÿ)é   é   é"   é@   )r   r   é   é   rQ   r.   éÿÿÿÿéþÿÿÿéýÿÿÿéüÿÿÿiìÿÿÿiëÿÿÿiÎÿÿÿiÍÿÿÿrP   i7ÿÿÿià±ÿÿiß±ÿÿ)z1e-5z1e-20z1e-100z1e-10000)ÚmpmathÚmpmath.libmpr   r   ÚargvÚintÚindexr7   r   r
   r%   r?   Ú	testcasesÚlistÚrangeÚnÚappendr   ÚtÚ__name__ÚtimeitrO   ÚclockÚtot_timer9   Út1Út2r   © r@   r$   Ú<module>rm      s  ðÜ Ý ã 
Ø	ˆS�X‰XÔÙ�—‘˜#Ÿ(™(Ÿ.™.¨Ó0°Õ2Õ3Ó4�Fà€Fà	�S—X‘XÑ	€à€ò$+òLð8 €	ñ 
‰e�A�c‹lÓ	™d¡5¨¨T°"Ó#5Ó6×	6Ð	6€AØ×Ñ�d˜Q•h Ð%Ö&ñ 
7á	ˆt�CŽ€AØ×Ñ�h •l DÐ)Ô*Ø×Ñ�i !•m TÐ*Ö+ñ 
ð 
ð [ØˆTÐ ð[àˆdÐ ð[ð ˆTÐ ð[ð ˆdÐ ð	[ð
 ˆ€ð[ð ˆ€ð[ð ˆ€ð[ð 
ˆ4Ð ð[ð ˆtÐ ð[ð �Ð ð[ð �DÐ ð[ð �TÐ ð[ð �4Ð ð[ð �DÐ ð[ð �DÐ ð[ð  �TÐ ð![ð" ˆTÐ ð#[ð$ 
ˆ4Ð ð%[ð& 
ˆ4Ð ð'[ð( ˆTÐ ð)[ð* ˆTÐ ð+[ð, ˆDÐ ð-[ð. ˆDÐ ð/[ð0 ˆdÐ ð1[ð2 
ˆ4Ð ð3[ð4 
ˆ4Ð ð5[ð6 
ˆ4Ð ð7[ð8 €c€
ð9[ð: €c€
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€AØ×Ñ�l QÕ&¨Ð-Ô.Ø×Ñ�m aÕ'¨Ð.Ô/Ø×Ñ�n qÕ(¨$Ð/Ô0Ø×Ñ�l QÕ&¨Ð-Ô.Ø×Ñ�m aÕ'¨Ð.Ô/Ø×Ñ�n qÕ(¨$Ð/Ô0Ø×Ñ�o¨Õ)¨4Ð0Ô1Ø×Ñ�m aÕ'¨Ð.Ô/Ø×Ñ�n qÕ(¨$Ð/Ô0Ø×Ñ�o¨Õ)¨4Ð0Ô1Ø×ÑÐ&¨Õ*¨DÐ1Ô2Ø×Ñ�n qÕ(¨$Ð/×0ñ 
ó 
L€AÛ4ˆØ×Ò»»1Ð=¸tÐDÔEØ×Ò»»1Ð=¸tÐDÔEØ×Ò»»AÐ>ÀÐEÔFØ×Ò»»AÐ>ÀÐEÖFó	 5ñ 
Lð ˆzÔÝ-Ø€HÛˆÙ‹WˆÙ�ŒÙ‹WˆÙˆl˜B˜r�EÔ"ÙŒØ�R˜•UÕŠñ ñ 
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