#include "cdflib.h" double algdiv(double *a,double *b) /* ----------------------------------------------------------------------- COMPUTATION OF LN(GAMMA(B)/GAMMA(A+B)) WHEN B .GE. 8 -------- IN THIS ALGORITHM, DEL(X) IS THE FUNCTION DEFINED BY LN(GAMMA(X)) = (X - 0.5)*LN(X) - X + 0.5*LN(2*PI) + DEL(X). ----------------------------------------------------------------------- */ { static double c0 = .833333333333333e-01; static double c1 = -.277777777760991e-02; static double c2 = .793650666825390e-03; static double c3 = -.595202931351870e-03; static double c4 = .837308034031215e-03; static double c5 = -.165322962780713e-02; static double algdiv,c,d,h,s11,s3,s5,s7,s9,t,u,v,w,x,x2,T1; /* .. .. Executable Statements .. */ if(*a <= *b) goto S10; h = *b/ *a; c = 1.0e0/(1.0e0+h); x = h/(1.0e0+h); d = *a+(*b-0.5e0); goto S20; S10: h = *a/ *b; c = h/(1.0e0+h); x = 1.0e0/(1.0e0+h); d = *b+(*a-0.5e0); S20: /* SET SN = (1 - X**N)/(1 - X) */ x2 = x*x; s3 = 1.0e0+(x+x2); s5 = 1.0e0+(x+x2*s3); s7 = 1.0e0+(x+x2*s5); s9 = 1.0e0+(x+x2*s7); s11 = 1.0e0+(x+x2*s9); /* SET W = DEL(B) - DEL(A + B) */ t = pow(1.0e0/ *b,2.0); w = ((((c5*s11*t+c4*s9)*t+c3*s7)*t+c2*s5)*t+c1*s3)*t+c0; w *= (c/ *b); /* COMBINE THE RESULTS */ T1 = *a/ *b; u = d*alnrel(&T1); v = *a*(log(*b)-1.0e0); if(u <= v) goto S30; algdiv = w-v-u; return algdiv; S30: algdiv = w-u-v; return algdiv; } /* END */