/* nag_bessel_j_alpha (s18ekc) Example Program.
*
* Copyright 2023 Numerical Algorithms Group.
*
* NAG C Library
*
* Mark 29.1, 2023.
*
*/
#include <nag.h>
#include <stdio.h>
int main(void) {
Complex *b = 0;
Integer exit_status = 0, i, nl;
NagError fail;
double a, alpha, d, x;
INIT_FAIL(fail);
/* Skip heading in data file */
scanf("%*[^\n]");
printf("nag_bessel_j_alpha (s18ekc) Example Program Results\n");
if (!(b = NAG_ALLOC(101, Complex))) {
printf("Allocation failure\n");
exit_status = -1;
goto END;
}
while (scanf("%lf %lf %" NAG_IFMT "%*[^\n]", &x, &a, &nl) != EOF)
{
printf(" x a nl\n");
printf("%4.1f %4.1f %6" NAG_IFMT "\n\n", x, a, nl);
/* nag_bessel_j_alpha (s18ekc).
* Bessel functions J_(alpha + n - 1)(x) or
* J_(alpha - n + 1)(x) for real x != 0, non-negative
* alpha < 1 and n = 1 , 2 , ... , |N| + 1
*/
nag_bessel_j_alpha(x, a, nl, b, &fail);
if (fail.code == NE_NOERROR) {
printf(" Requested values of J_alpha(X)\n\n");
alpha = a;
printf(" alpha J_alpha(X)\n");
for (i = 0; i < ABS(nl) + 1; ++i) {
printf(" %13.4e (%13.4e, %13.4e)\n", alpha, b[i].re, b[i].im);
d = (double)nl;
alpha += SIGN(1.0, d);
}
} else {
printf("Error from nag_bessel_j_alpha (s18ekc).\n%s\n", fail.message);
exit_status = 1;
goto END;
}
}
END:
NAG_FREE(b);
return exit_status;
}