/* nag_zgecon (f07auc) Example Program.
*
* Copyright 2017 Numerical Algorithms Group.
*
* Mark 26.1, 2017.
*/

#include <stdio.h>
#include <nag.h>
#include <nag_stdlib.h>
#include <naga02.h>
#include <nagf07.h>
#include <nagf16.h>
#include <nagx02.h>
#include <math.h>

int main(void)
{

/* Scalars */
double anorm, rcond;
Integer exit_status = 0;
Integer i, ipiv_len, j, n, pda;
NagError fail;
Nag_OrderType order;
/* Arrays */
Complex *a = 0;
Integer *ipiv = 0;

#ifdef NAG_COLUMN_MAJOR
#define A(I, J) a[(J-1)*pda + I - 1]
order = Nag_ColMajor;
#else
#define A(I, J) a[(I-1)*pda + J - 1]
order = Nag_RowMajor;
#endif

INIT_FAIL(fail);

printf("nag_zgecon (f07auc) Example Program Results\n\n");
/* Skip heading in data file */
scanf("%*[^\n] ");
scanf("%" NAG_IFMT "%*[^\n] ", &n);

#ifdef NAG_COLUMN_MAJOR
pda = n;
#else
pda = n;
#endif
ipiv_len = n;

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

/* Read 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] ");
/* Compute norm of A */
/* nag_zge_norm (f16uac).
* 1-norm, infinity-norm, Frobenius norm, largest absolute
* element, complex general matrix
*/
nag_zge_norm(order, Nag_OneNorm, n, n, a, pda, &anorm, &fail);
if (fail.code != NE_NOERROR) {
printf("Error from nag_zge_norm (f16uac).\n%s\n", fail.message);
exit_status = 1;
goto END;
}

/* Factorize A */
/* nag_zgetrf (f07arc).
* LU factorization of complex m by n matrix
*/
nag_zgetrf(order, n, n, a, pda, ipiv, &fail);
if (fail.code != NE_NOERROR) {
printf("Error from nag_zgetrf (f07arc).\n%s\n", fail.message);
exit_status = 1;
goto END;
}
/* Estimate condition number */
/* nag_zgecon (f07auc).
* Estimate condition number of complex matrix, matrix
* already factorized by nag_zgetrf (f07arc)
*/
nag_zgecon(order, Nag_OneNorm, n, a, pda, anorm, &rcond, &fail);
if (fail.code != NE_NOERROR) {
printf("Error from nag_zgecon (f07auc).\n%s\n", fail.message);
exit_status = 1;
goto END;
}

/* nag_machine_precision (x02ajc).
* The machine precision
*/
if (rcond >= nag_machine_precision)
printf("Estimate of condition number = %11.2e\n", 1.0 / rcond);
else
printf("A is singular to working precision\n");
END:
NAG_FREE(a);
NAG_FREE(ipiv);
return exit_status;
}