/* nag_dspcon (f07pgc) Example Program.
*
* Copyright 2017 Numerical Algorithms Group.
*
* Mark 26.1, 2017.
*/

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

int main(void)
{
/* Scalars */
double anorm, rcond;
Integer ap_len, i, j, n;
Integer exit_status = 0;
NagError fail;
Nag_UploType uplo;
Nag_OrderType order;
/* Arrays */
Integer *ipiv = 0;
char nag_enum_arg;
double *ap = 0;

#ifdef NAG_COLUMN_MAJOR
#define A_UPPER(I, J) ap[J*(J-1)/2 + I - 1]
#define A_LOWER(I, J) ap[(2*n-J)*(J-1)/2 + I - 1]
order = Nag_ColMajor;
#else
#define A_LOWER(I, J) ap[I*(I-1)/2 + J - 1]
#define A_UPPER(I, J) ap[(2*n-I)*(I-1)/2 + J - 1]
order = Nag_RowMajor;
#endif

INIT_FAIL(fail);

printf("nag_dspcon (f07pgc) Example Program Results\n\n");
/* Skip heading in data file */
scanf("%*[^\n] ");
scanf("%" NAG_IFMT "%*[^\n] ", &n);
ap_len = n * (n + 1) / 2;

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

/* Read A from data file */
scanf(" %39s%*[^\n] ", nag_enum_arg);
/* nag_enum_name_to_value (x04nac).
* Converts NAG enum member name to value
*/
uplo = (Nag_UploType) nag_enum_name_to_value(nag_enum_arg);

if (uplo == Nag_Upper) {
for (i = 1; i <= n; ++i) {
for (j = i; j <= n; ++j)
scanf("%lf", &A_UPPER(i, j));
}
scanf("%*[^\n] ");
}
else {
for (i = 1; i <= n; ++i) {
for (j = 1; j <= i; ++j)
scanf("%lf", &A_LOWER(i, j));
}
scanf("%*[^\n] ");
}

/* Compute norm of A */
/* nag_dsp_norm (f16rdc).
* 1-norm, infinity-norm, Frobenius norm, largest absolute
* element, real symmetric matrix, packed storage
*/
nag_dsp_norm(order, Nag_OneNorm, uplo, n, ap, &anorm, &fail);
if (fail.code != NE_NOERROR) {
printf("Error from nag_dsp_norm (f16rdc).\n%s\n", fail.message);
exit_status = 1;
goto END;
}
/* Factorize A */
/* nag_dsptrf (f07pdc).
* Bunch-Kaufman factorization of real symmetric indefinite
* matrix, packed storage
*/
nag_dsptrf(order, uplo, n, ap, ipiv, &fail);
if (fail.code != NE_NOERROR) {
printf("Error from nag_dsptrf (f07pdc).\n%s\n", fail.message);
exit_status = 1;
goto END;
}
/* Estimate condition number */
/* nag_dspcon (f07pgc).
* Estimate condition number of real symmetric indefinite
* matrix, matrix already factorized by nag_dsptrf (f07pdc),
* packed storage
*/
nag_dspcon(order, uplo, n, ap, ipiv, anorm, &rcond, &fail);
if (fail.code != NE_NOERROR) {
printf("Error from nag_dspcon (f07pgc).\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\n", 1.0 / rcond);
else
printf("A is singular to working precision\n");
END:
NAG_FREE(ipiv);
NAG_FREE(ap);
return exit_status;
}