/* nag_zhesvx (f07mpc) Example Program.
 *
 * Copyright 2004 Numerical Algorithms Group.
 *
 * Mark 23, 2011.
 */

#include <stdio.h>
#include <nag.h>
#include <nagx04.h>
#include <nag_stdlib.h>
#include <nagf07.h>

int main(void)
{

  /* Scalars */
  double         rcond;
  Integer        exit_status = 0, i, j, n, nrhs, pda, pdaf, pdb, pdx;

  /* Arrays */
  Complex        *a = 0, *af = 0, *b = 0, *x = 0;
  double         *berr = 0, *ferr = 0;
  Integer        *ipiv = 0;
  char           nag_enum_arg[40];

  /* Nag Types */
  NagError       fail;
  Nag_UploType   uplo;
  Nag_OrderType  order;

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

  INIT_FAIL(fail);

  printf("nag_zhesvx (f07mpc) Example Program Results\n\n");

  /* Skip heading in data file */
  scanf("%*[^\n]");
  scanf("%ld%ld%*[^\n]", &n, &nrhs);
  if (n < 0 || nrhs < 0)
    {
      printf("Invalid n or nrhs\n");
      exit_status = 1;
      goto END;
    }
  scanf(" %s%*[^\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);

  /* Allocate memory */
  if (!(a    = NAG_ALLOC(n * n, Complex)) ||
      !(af   = NAG_ALLOC(n * n, Complex)) ||
      !(b    = NAG_ALLOC(n * nrhs, Complex)) ||
      !(x    = NAG_ALLOC(n * nrhs, Complex)) ||
      !(berr = NAG_ALLOC(nrhs, double)) ||
      !(ferr = NAG_ALLOC(nrhs, double)) ||
      !(ipiv = NAG_ALLOC(n, Integer)))
    {
      printf("Allocation failure\n");
      exit_status = -1;
      goto END;
    }

  pda = n;
  pdaf = n;
#ifdef NAG_COLUMN_MAJOR
  pdb = n;
  pdx = n;
#else
  pdb = nrhs;
  pdx = nrhs;
#endif

  /* Read the triangular part of A from data file */
  if (uplo == Nag_Upper)
    for (i = 1; i <= n; ++i)
      for (j = i; j <= n; ++j)
	scanf(" ( %lf , %lf )", &A(i, j).re, &A(i, j).im);
  else
    for (i = 1; i <= n; ++i)
      for (j = 1; j <= i; ++j)
	scanf(" ( %lf , %lf )", &A(i, j).re, &A(i, j).im);
  scanf("%*[^\n]");

  /* Read B from data file */
  for (i = 1; i <= n; ++i)
    for (j = 1; j <= nrhs; ++j)
      scanf(" ( %lf , %lf )", &B(i, j).re, &B(i, j).im);
  scanf("%*[^\n]");

  /* Solve the equations AX = B for X using nag_zhesvx (f07mpc). */
  nag_zhesvx(order, Nag_NotFactored, uplo, n, nrhs, a, pda, af, pdaf, ipiv,
             b, pdb, x, pdx, &rcond, ferr, berr, &fail);

  if (fail.code != NE_NOERROR && fail.code != NE_SINGULAR)
    {
      printf("Error from nag_zhesvx (f07mpc).\n%s\n", fail.message);
      exit_status = 1;
      goto END;
    }

  /* Print solution using nag_gen_complx_mat_print_comp (x04dbc). */
  fflush(stdout);
  nag_gen_complx_mat_print_comp(order, Nag_GeneralMatrix, Nag_NonUnitDiag, n,
                                nrhs, x, pdx, Nag_BracketForm, "%7.4f",
                                "Solution(s)", Nag_IntegerLabels, 0,
                                Nag_IntegerLabels, 0, 80, 0, 0, &fail);
  if (fail.code != NE_NOERROR)
    {
      printf("Error from nag_gen_complx_mat_print_comp (x04dbc).\n%s\n",
             fail.message);
      exit_status = 1;
      goto END;
    }

  /* Print error bounds and condition number */
  printf("\nBackward errors (machine-dependent)\n");
  for (j = 0; j < nrhs; ++j) printf("%11.1e%s", berr[j], j%7 == 6?"\n":" ");

  printf("\n\nEstimated forward error bounds (machine-dependent)\n");
  for (j = 0; j < nrhs; ++j) printf("%11.1e%s", ferr[j], j%7 == 6?"\n":" ");

  printf("\n\nEstimate of reciprocal condition number\n%11.1e\n\n", rcond);
  if (fail.code == NE_SINGULAR)
    {
      printf("Error from nag_zhesvx (f07mpc).\n%s\n", fail.message);
      exit_status = 1;
    }
 END:
  if (a)    NAG_FREE(a);
  if (af)   NAG_FREE(af);
  if (b)    NAG_FREE(b);
  if (x)    NAG_FREE(x);
  if (berr) NAG_FREE(berr);
  if (ferr) NAG_FREE(ferr);
  if (ipiv) NAG_FREE(ipiv);

  return exit_status;
}
#undef B
#undef A