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piscal/dataassim/math/numrec/f77_sources/gaulag.for
2016-02-03 18:52:05 +00:00

39 lines
1.0 KiB
Fortran

SUBROUTINE gaulag(x,w,n,alf)
INTEGER n,MAXIT
REAL alf,w(n),x(n)
DOUBLE PRECISION EPS
PARAMETER (EPS=3.D-14,MAXIT=10)
CU USES gammln
INTEGER i,its,j
REAL ai,gammln
DOUBLE PRECISION p1,p2,p3,pp,z,z1
do 13 i=1,n
if(i.eq.1)then
z=(1.+alf)*(3.+.92*alf)/(1.+2.4*n+1.8*alf)
else if(i.eq.2)then
z=z+(15.+6.25*alf)/(1.+.9*alf+2.5*n)
else
ai=i-2
z=z+((1.+2.55*ai)/(1.9*ai)+1.26*ai*alf/(1.+3.5*ai))*
*(z-x(i-2))/(1.+.3*alf)
endif
do 12 its=1,MAXIT
p1=1.d0
p2=0.d0
do 11 j=1,n
p3=p2
p2=p1
p1=((2*j-1+alf-z)*p2-(j-1+alf)*p3)/j
11 continue
pp=(n*p1-(n+alf)*p2)/z
z1=z
z=z1-p1/pp
if(abs(z-z1).le.EPS)goto 1
12 continue
pause 'too many iterations in gaulag'
1 x(i)=z
w(i)=-exp(gammln(alf+n)-gammln(float(n)))/(pp*n*p2)
13 continue
return
END