#include "cdflib.h" double bfrac(double *a,double *b,double *x,double *y,double *lambda, double *eps) /* ----------------------------------------------------------------------- CONTINUED FRACTION EXPANSION FOR IX(A,B) WHEN A,B .GT. 1. IT IS ASSUMED THAT LAMBDA = (A + B)*Y - B. ----------------------------------------------------------------------- */ { static double bfrac,alpha,an,anp1,beta,bn,bnp1,c,c0,c1,e,n,p,r,r0,s,t,w,yp1; /* .. .. Executable Statements .. */ bfrac = brcomp(a,b,x,y); if(bfrac == 0.0e0) return bfrac; c = 1.0e0+*lambda; c0 = *b/ *a; c1 = 1.0e0+1.0e0/ *a; yp1 = *y+1.0e0; n = 0.0e0; p = 1.0e0; s = *a+1.0e0; an = 0.0e0; bn = anp1 = 1.0e0; bnp1 = c/c1; r = c1/c; S10: /* CONTINUED FRACTION CALCULATION */ n += 1.0e0; t = n/ *a; w = n*(*b-n)**x; e = *a/s; alpha = p*(p+c0)*e*e*(w**x); e = (1.0e0+t)/(c1+t+t); beta = n+w/s+e*(c+n*yp1); p = 1.0e0+t; s += 2.0e0; /* UPDATE AN, BN, ANP1, AND BNP1 */ t = alpha*an+beta*anp1; an = anp1; anp1 = t; t = alpha*bn+beta*bnp1; bn = bnp1; bnp1 = t; r0 = r; r = anp1/bnp1; if(fabs(r-r0) <= *eps*r) goto S20; /* RESCALE AN, BN, ANP1, AND BNP1 */ an /= bnp1; bn /= bnp1; anp1 = r; bnp1 = 1.0e0; goto S10; S20: /* TERMINATION */ bfrac *= r; return bfrac; } /* END */