#include float bessy1(x) float x; { float z; double xx,y,ans,ans1,ans2; float bessj1(); if (x < 8.0) { y=x*x; ans1=x*(-0.4900604943e13+y*(0.1275274390e13 +y*(-0.5153438139e11+y*(0.7349264551e9 +y*(-0.4237922726e7+y*0.8511937935e4))))); ans2=0.2499580570e14+y*(0.4244419664e12 +y*(0.3733650367e10+y*(0.2245904002e8 +y*(0.1020426050e6+y*(0.3549632885e3+y))))); ans=(ans1/ans2)+0.636619772*(bessj1(x)*log(x)-1.0/x); } else { z=8.0/x; y=z*z; xx=x-2.356194491; ans1=1.0+y*(0.183105e-2+y*(-0.3516396496e-4 +y*(0.2457520174e-5+y*(-0.240337019e-6)))); ans2=0.04687499995+y*(-0.2002690873e-3 +y*(0.8449199096e-5+y*(-0.88228987e-6 +y*0.105787412e-6))); ans=sqrt(0.636619772/x)*(sin(xx)*ans1+z*cos(xx)*ans2); } return ans; }