³ò jÈKc@sndZddklZlZlZddklZd„Zd„Zd„Z dd„Z e d jond S( s+the Beta function: complete and incomplete iÿÿÿÿ(texptlogtfabs(tLnGammacCs(tt|ƒt|ƒt||ƒƒS(N(RR(tatb((sq/Users/amos/Documents/Database/Mental/Programming/python/lib/avatar/Personal2/www.amos/Python/lib/mathlib/Beta.pytBetascCsî|djodSnd|jodSnt|ƒt|ƒ}}tt||ƒt|ƒt|ƒ|t|ƒ|td|ƒƒ}||d||djo|t|||ƒ|}n#d|t||d|ƒ|}|S(Nggð?g@(tfloatRRRtIBetaCF(RRtxtxFactortxResult((sq/Users/amos/Documents/Database/Mental/Programming/python/lib/avatar/Personal2/www.amos/Python/lib/mathlib/Beta.pytIBetas  J"cCsd}d}d}||}|d}|d}d} d|||} t| ƒ|jo |} nd| } | } d} xp| |jobd| } | || ||| || }d|| } t| ƒ|jo |} nd|| } t| ƒ|jo |} nd| } | | | } ||  || ||| || }d|| } t| ƒ|jo |} nd|| } t| ƒ|jo |} nd| } | | }| |} t|dƒ|jo| Sn| d} q~Wtd| d| d| d ‚dS( Niegvƒ ôõ!”>g ÂëþKH´9gð?iisIBetaCF(s, s) fails(Rt ValueError(RRR tiMaxtepsilontxTinytxABtxAPtxAMtctdthtiti2taatxDC((sq/Users/amos/Documents/Database/Mental/Programming/python/lib/avatar/Personal2/www.amos/Python/lib/mathlib/Beta.pyR$sN       "   '     gH¯¼šò×z>c Cs@|djodSn|djodSnt|ƒt|ƒ}}|||}d}d}x¸||joª|t|||ƒ}t|ƒ|jo|Snt||dƒtd||dƒt||ƒ}|||}d|jod|}n|djo |}q`q`Wtd| d| d| d‚dS(Nggð?ieis InverseIBeta(s, s) fails(RR RtpowRR ( RRtytxEpsilonR RRRtm((sq/Users/amos/Documents/Database/Mental/Programming/python/lib/avatar/Personal2/www.amos/Python/lib/mathlib/Beta.pyt InverseIBetaGs(   5  t__main__N( t__doc__tmathRRRtGammaRRR RRt__name__(((sq/Users/amos/Documents/Database/Mental/Programming/python/lib/avatar/Personal2/www.amos/Python/lib/mathlib/Beta.pys s  #