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2025-02-Numerical/lib/nr/k_and_r/recipes/gaulag.c
2025-09-12 18:55:25 +09:00

46 lines
859 B
C

#include <math.h>
#define EPS 3.0e-14
#define MAXIT 10
void gaulag(x,w,n,alf)
float alf,w[],x[];
int n;
{
float gammln();
void nrerror();
int i,its,j;
float ai;
double p1,p2,p3,pp,z,z1;
for (i=1;i<=n;i++) {
if (i == 1) {
z=(1.0+alf)*(3.0+0.92*alf)/(1.0+2.4*n+1.8*alf);
} else if (i == 2) {
z += (15.0+6.25*alf)/(1.0+0.9*alf+2.5*n);
} else {
ai=i-2;
z += ((1.0+2.55*ai)/(1.9*ai)+1.26*ai*alf/
(1.0+3.5*ai))*(z-x[i-2])/(1.0+0.3*alf);
}
for (its=1;its<=MAXIT;its++) {
p1=1.0;
p2=0.0;
for (j=1;j<=n;j++) {
p3=p2;
p2=p1;
p1=((2*j-1+alf-z)*p2-(j-1+alf)*p3)/j;
}
pp=(n*p1-(n+alf)*p2)/z;
z1=z;
z=z1-p1/pp;
if (fabs(z-z1) <= EPS) break;
}
if (its > MAXIT) nrerror("too many iterations in gaulag");
x[i]=z;
w[i] = -exp(gammln(alf+n)-gammln((float)n))/(pp*n*p2);
}
}
#undef EPS
#undef MAXIT