/* nag_quad_dim1_fin_gonnet_vec (d01rgc) Example Program.
*
* Copyright 2024 Numerical Algorithms Group.
*
* Mark 30.2, 2024.
*/
#include <math.h>
#include <nag.h>
#include <stdio.h>
#ifdef __cplusplus
extern "C" {
#endif
static void NAG_CALL f(const double x[], Integer nx, double fv[],
Integer *iflag, Nag_Comm *comm);
#ifdef __cplusplus
}
#endif
int main(void) {
static double ruser[1] = {-1.0};
Integer exit_status = 0;
double a, b, dinest, epsabs, epsrel, errest;
Integer nevals;
Integer exmode[3], exmode_old[3];
/* Nag types */
NagError fail;
Nag_Comm comm;
INIT_FAIL(fail);
printf("nag_quad_dim1_fin_gonnet_vec (d01rgc) Example Program Results\n\n");
/* For communication with user-supplied functions: */
comm.user = ruser;
/* The example function can raise various exceptions - it contains
* a division by zero and a log singularity - although its integral
* is well behaved.
*/
/* nag_ieee_get_exception_mode (x07cac).
* Gets current behaviour of floating point exceptions.
*/
nag_ieee_get_exception_mode(exmode_old);
/* Turn exception halting mode off for the three common exceptions:
* overflow, division-by-zero, and invalid operation.
*/
exmode[0] = exmode[1] = exmode[2] = 0;
/* nag_ieee_set_exception_mode (x07cbc). Sets behaviour of
floating-point exceptions */
nag_ieee_set_exception_mode(exmode);
epsabs = 0.0;
epsrel = 1.0e-04;
a = -1.0;
b = 1.0;
/* Evaluate the integral using the vectorized One-dimensional adaptive
* quadrature routine nag_quad_dim1_fin_gonnet_vec (d01rgc).
*/
nag_quad_dim1_fin_gonnet_vec(a, b, f, epsabs, epsrel, &dinest, &errest,
&nevals, &comm, &fail);
if (fail.code != NE_NOERROR) {
printf("Error from nag_quad_dim1_fin_gonnet_vec (d01rgc).\n%s\n",
fail.message);
exit_status = 1;
if (fail.code != NE_ACCURACY)
goto END;
}
printf("a - lower limit of integration = %11.4f\n", a);
printf("b - upper limit of integration = %11.4f\n", b);
printf("epsabs - absolute accuracy requested = %11.2e\n", epsabs);
printf("epsrel - relative accuracy requested = %11.2e\n", epsrel);
printf("\n");
printf("dinest - approximation to the integral = %11.4f\n", dinest);
printf("errest - estimate of the absolute error = %11.2e\n", errest);
printf("nevals - number of function evaluations = %11" NAG_IFMT "\n", nevals);
END:
/* Restore the original halting mode */
nag_ieee_set_exception_mode(exmode_old);
return exit_status;
}
static void NAG_CALL f(const double x[], Integer nx, double fv[],
Integer *iflag, Nag_Comm *comm) {
Integer i;
if (comm->user[0] == -1.0) {
printf("(User-supplied callback f, first invocation.)\n");
comm->user[0] = 0.0;
}
for (i = 0; i < nx; i++)
fv[i] = sin(x[i]) / x[i] * log(10.0 * (1.0 - x[i]));
}