/* nag_matop_complex_gen_matrix_fun_num (f01flc) Example Program.
*
* Copyright 2024 Numerical Algorithms Group.
*
* Mark 30.0, 2024.
*/
#include <math.h>
#include <nag.h>
#ifdef __cplusplus
extern "C" {
#endif
static void NAG_CALL f(Integer *iflag, Integer nz, const Complex z[],
Complex fz[], Nag_Comm *comm);
#ifdef __cplusplus
}
#endif
int main(void) {
/* Scalars */
Integer exit_status = 0;
Integer i, iflag, j, n, pda;
/* Arrays */
static double ruser[1] = {-1.0};
Complex *a = 0;
/* Nag Types */
Nag_Comm comm;
Nag_OrderType order;
NagError fail;
INIT_FAIL(fail);
#define A(I, J) a[(J - 1) * pda + I - 1]
order = Nag_ColMajor;
/* Output preamble .. */
printf("nag_matop_complex_gen_matrix_fun_num (f01flc) ");
printf("Example Program Results\n\n");
fflush(stdout);
/* For communication with user-supplied functions: */
comm.user = ruser;
/* Skip heading in data file .. */
scanf("%*[^\n]");
/* Read in the problem size */
scanf("%" NAG_IFMT "%*[^\n]", &n);
pda = n;
if (!(a = NAG_ALLOC(pda * n, Complex))) {
printf("Allocation failure\n");
exit_status = -1;
goto END;
}
/* Read in the matrix a from data file */
for (i = 1; i <= n; i++)
for (j = 1; j <= n; j++)
scanf(" ( %lf , %lf ) ", &A(i, j).re, &A(i, j).im);
scanf("%*[^\n] ");
/* Find the matrix function using
* nag_matop_complex_gen_matrix_fun_num (f01flc)
* Function of a complex matrix
*/
nag_matop_complex_gen_matrix_fun_num(n, a, pda, f, &comm, &iflag, &fail);
if (fail.code != NE_NOERROR) {
printf("Error from nag_matop_complex_gen_matrix_fun_num (f01flc)\n%s\n",
fail.message);
exit_status = 1;
goto END;
}
/* Print solution using
* nag_file_print_matrix_complex_gen (x04dac)
* Print complex general matrix (easy-to-use)
*/
nag_file_print_matrix_complex_gen(order, Nag_GeneralMatrix, Nag_NonUnitDiag,
n, n, a, pda, "f(A) = sin(2A)", NULL,
&fail);
if (fail.code != NE_NOERROR) {
printf("Error from nag_file_print_matrix_complex_gen (x04dac)\n%s\n",
fail.message);
exit_status = 2;
goto END;
}
END:
NAG_FREE(a);
return exit_status;
}
static void NAG_CALL f(Integer *iflag, Integer nz, const Complex z[],
Complex fz[], Nag_Comm *comm) {
/* Scalars */
Integer j;
#ifdef _OPENMP
#pragma omp master
#endif
if (comm->user[0] == -1.0) {
printf("(User-supplied callback f, first invocation.)\n");
fflush(stdout);
comm->user[0] = 0.0;
}
for (j = 0; j < nz; j++) {
/* Implementation of sin2z for complex z */
fz[j].re = sin(2.0 * z[j].re) * cosh(2.0 * z[j].im);
fz[j].im = cos(2.0 * z[j].re) * sinh(2.0 * z[j].im);
}
/* Set iflag nonzero to terminate execution for any reason. */
*iflag = 0;
}