```/* nag_det_complex_gen (f03bnc) Example Program.
*
* Copyright 2020 Numerical Algorithms Group.
*
* Mark 27.1, 2020.
*/
#include <math.h>
#include <nag.h>

int main(void) {
/* Scalars */
Integer exit_status = 0;
Integer i, j, n, pda;
Complex d;
/* Arrays */
Integer *ipiv = 0;
Integer id[2];
Complex *a = 0;
/* NAG types */
NagError fail;
Nag_OrderType order;
Nag_MatrixType matrix = Nag_GeneralMatrix;
Nag_DiagType diag = Nag_NonUnitDiag;

printf("nag_det_complex_gen (f03bnc) Example Program Results\n");

/* Skip heading in data file */
scanf("%*[^\n]");
scanf("%" NAG_IFMT "%*[^\n]", &n);
pda = n;

if (!(a = NAG_ALLOC((n) * (n), Complex)) ||
!(ipiv = NAG_ALLOC((n), Integer))) {
printf("Allocation failure\n");
exit_status = -1;
goto END;
}

/* Define matrix element A_ij in terms of elements of array a[k] */
#ifdef NAG_COLUMN_MAJOR
order = Nag_ColMajor;
#define A(I, J) a[(J - 1) * pda + (I - 1)]
#else
order = Nag_RowMajor;
#define A(J, I) a[(J - 1) * pda + (I - 1)]
#endif
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] ");

INIT_FAIL(fail);
/* Factorize A using nag_lapacklin_zgetrf (f07arc)
* LU factorization of complex m by n matrix
*/
nag_lapacklin_zgetrf(order, n, n, a, pda, ipiv, &fail);
if (fail.code != NE_NOERROR) {
printf("%s\n", fail.message);
exit_status = 1;
goto END;
}

/* nag_file_print_matrix_complex_gen (x04dac)
* Print complex general matrix (easy-to-use)
*/
fflush(stdout);
nag_file_print_matrix_complex_gen(order, matrix, diag, n, n, a, pda,
"Array A after factorization", NULL, &fail);
if (fail.code != NE_NOERROR) {
printf("%s\n", fail.message);
exit_status = 2;
goto END;
}

printf("Pivots:\n  ");
for (j = 0; j < n; j++)
printf("%12" NAG_IFMT, ipiv[j]);
printf("\n");

/* nag_det_complex_gen (f03bnc) - Determinant of complex matrix */
nag_det_complex_gen(order, n, a, pda, ipiv, &d, id, &fail);
if (fail.code != NE_NOERROR) {
printf("%s\n", fail.message);
exit_status = 3;
goto END;
}

printf("d = (%9.5f, %9.5f)    id = (%2" NAG_IFMT ", %2" NAG_IFMT ")\n", d.re,
d.im, id[0], id[1]);
printf("Value of determinant = (%12.5e, %12.5e)\n", pow(2.0, id[0]) * (d.re),
pow(2.0, id[1]) * (d.im));

END:
NAG_FREE(a);
NAG_FREE(ipiv);

return exit_status;
}
```