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

39 lines
645 B
C

#include <math.h>
#define ACC 40.0
#define BIGNO 1.0e10
#define BIGNI 1.0e-10
float bessi(int n, float x)
{
float bessi0(float x);
void nrerror(char error_text[]);
int j;
float bi,bim,bip,tox,ans;
if (n < 2) nrerror("Index n less than 2 in bessi");
if (x == 0.0)
return 0.0;
else {
tox=2.0/fabs(x);
bip=ans=0.0;
bi=1.0;
for (j=2*(n+(int) sqrt(ACC*n));j>0;j--) {
bim=bip+j*tox*bi;
bip=bi;
bi=bim;
if (fabs(bi) > BIGNO) {
ans *= BIGNI;
bi *= BIGNI;
bip *= BIGNI;
}
if (j == n) ans=bip;
}
ans *= bessi0(x)/bi;
return x < 0.0 && (n & 1) ? -ans : ans;
}
}
#undef ACC
#undef BIGNO
#undef BIGNI