:>"^Ô ã@sLdZddlZdZdZdZdd„Zdd „Zd d „ZdS) zwPython implementation of chisqprob, to avoid SciPy dependency. Adapted from SciPy: scipy/special/cephes/{chdtr,igam}. éNgH¯¼šò×z>g0Cg° 0 df : array_like or float, probably int >= 1 Returns ------- chisqprob : ndarray The area from ``chisq`` to infinity under the Chi^2 probability distribution with degrees of freedom ``df``. rgð?gz Domain error.gà?)Ú ValueErrorÚ_igamÚ_igamc)ÚxÚdf©rú9/tmp/pip-build-ww9dw3qa/biopython/Bio/codonalign/chisq.pyÚ chisqprobs    r cCsktj|tj|ƒ|tj|ƒƒ}d|}||d}d}d}|}|d}||} || } xï|d7}|d7}|d7}||} |||| } | ||| } | dkr÷| | }t| ||ƒ}|} nd}|}| }| }| } t| ƒtkrO|t9}|t9}|t9}| t9} |tkrx| |SqxWdS)aÔComplemented incomplete Gamma integral (PRIVATE). Parameters ---------- a: float x: float Returns ------- float Notes ----- The function is defined by:: igamc(a,x) = 1 - igam(a,x) inf. - 1 | | -t a-1 = ----- | e t dt. - | | | (a) - x In this implementation both arguments must be positive. The integral is evaluated by either a power series or continued fraction expansion, depending on the relative values of a and x. gð?gg@rN)ÚmathÚexpÚlogÚlgammaÚabsÚBIGÚBIGINVÚMACHEP)ÚarÚaxÚyÚzÚcZpkm2Zqkm2Zpkm1Zqkm1ÚansZycÚpkZqkÚrÚtrrrr-s@!-                rcCsˆtj|tj|ƒ|tj|ƒƒ}|}d}d}xB|d7}|||9}||7}||tkrB|||SqBWdS)zéLeft tail of incomplete Gamma function (PRIVATE). Computes this formula:: inf. k a -x - x x e > ---------- - - k=0 | (a+k+1) gð?N)r r r r r)rrrrrrrrrrss -  r)Ú__doc__r rrrr rrrrrrÚs   F