/* nag_ztrsen (f08quc) Example Program.
 *
 * Copyright 2014 Numerical Algorithms Group.
 *
 * Mark 7, 2001.
 */

#include <stdio.h>
#include <math.h>
#include <nag.h>
#include <nag_stdlib.h>
#include <nagf08.h>
#include <nagx04.h>
#include <nagf16.h>
#include <nagx02.h>

int main(void)
{
  /* Scalars */
  Integer       i, j, m, n, pda, pdc, pdq, pdt, select_len, w_len;
  Integer       exit_status = 0;
  double        norm, s, sep;
  Complex       alpha, beta;
  NagError      fail;
  Nag_OrderType order;
  /* Arrays */
  Complex       *a = 0, *c = 0, *q = 0, *t = 0, *w = 0;
  char          nag_enum_arg[40];
  Nag_Boolean   *select = 0;

#ifdef NAG_COLUMN_MAJOR
#define T(I, J) t[(J-1)*pdt + I - 1]
#define Q(I, J) q[(J-1)*pdq + I - 1]
  order = Nag_ColMajor;
#else
#define T(I, J) t[(I-1)*pdt + J - 1]
#define Q(I, J) q[(I-1)*pdq + J - 1]
  order = Nag_RowMajor;
#endif

  INIT_FAIL(fail);

  printf("nag_ztrsen (f08quc) Example Program Results\n\n");

  /* Skip heading in data file */
  scanf("%*[^\n] ");
  scanf("%ld%*[^\n] ", &n);
#ifdef NAG_COLUMN_MAJOR
  pda = n;
  pdc = n;
  pdq = n;
  pdt = n;
#else
  pda = n;
  pdc = n;
  pdq = n;
  pdt = n;
#endif
  w_len = n;
  select_len = n;

  /* Allocate memory */
  if (!(a = NAG_ALLOC(n * n, Complex)) ||
      !(c = NAG_ALLOC(n * n, Complex)) ||
      !(q = NAG_ALLOC(n * n, Complex)) ||
      !(w = NAG_ALLOC(w_len, Complex)) ||
      !(select = NAG_ALLOC(select_len, Nag_Boolean)) ||
      !(t = NAG_ALLOC(n * n, Complex)))
    {
      printf("Allocation failure\n");
      exit_status = -1;
      goto END;
    }

  /* Read T and Q from data file */
  for (i = 1; i <= n; ++i)
    {
      for (j = 1; j <= n; ++j)
        scanf(" ( %lf , %lf ) ", &T(i, j).re, &T(i, j).im);
    }
  scanf("%*[^\n] ");
  for (i = 1; i <= n; ++i)
    {
      for (j = 1; j <= n; ++j)
        scanf(" ( %lf , %lf ) ", &Q(i, j).re, &Q(i, j).im);
    }
  scanf("%*[^\n] ");
  for (i = 0; i < n; ++i)
    {
      scanf("%39s ", nag_enum_arg);
      /* nag_enum_name_to_value (x04nac).
       * Converts NAG enum member name to value
       */
      select[i] = (Nag_Boolean) nag_enum_name_to_value(nag_enum_arg);
    }
  scanf("%*[^\n] ");

  /* nag_zgemm (f16zac): Compute A = Q*T*Q^H */
  alpha.re = 1.0;
  alpha.im = 0.0;
  beta.re = 0.0;
  beta.im = 0.0;
  nag_zgemm(order, Nag_NoTrans, Nag_NoTrans, n, n, n, alpha, q, pdq, 
            t, pdt, beta, c, pdc, &fail);
  if (fail.code != NE_NOERROR)
    {
      printf("Error from nag_zgemm (f16zac).\n%s\n",
             fail.message);
      exit_status = 1;
      goto END;
    }
  nag_zgemm(order, Nag_NoTrans, Nag_ConjTrans, n, n, n, alpha, c, pdc, 
            q, pdq, beta, a, pda, &fail);
  if (fail.code != NE_NOERROR)
    {
      printf("Error from nag_zgemm (f16zac).\n%s\n",
             fail.message);
      exit_status = 1;
      goto END;
    }

  /* nag_gen_complx_mat_print_comp (x04dbc): Print matrix A */
  fflush(stdout);
  nag_gen_complx_mat_print_comp(order, Nag_GeneralMatrix, Nag_NonUnitDiag, n,
                                n, a, pda, Nag_BracketForm, "%7.4f",
                                "Matrix A", Nag_IntegerLabels, 0,
                                Nag_IntegerLabels, 0, 80, 0, 0, &fail);
  printf("\n");
  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;
    }

  /* Reorder the Schur factorization T */
  /* nag_ztrsen (f08quc).
   * Reorder Schur factorization of complex matrix, form
   * orthonormal basis of right invariant subspace for
   * selected eigenvalues, with estimates of sensitivities
   */
  nag_ztrsen(order, Nag_DoBoth, Nag_UpdateSchur, select, n, t, pdt,
             q, pdq, w, &m, &s, &sep, &fail);
  if (fail.code != NE_NOERROR)
    {
      printf("Error from nag_ztrsen (f08quc).\n%s\n", fail.message);
      exit_status = 1;
      goto END;
    }

  /* nag_zgemm (f16zac): Compute A - Qt*Tt*Qt^H from the reordered */ 
  /* Q and T*/
  alpha.re = 1.0;
  alpha.im = 0.0;
  beta.re = 0.0;
  beta.im = 0.0;
  nag_zgemm(order, Nag_NoTrans, Nag_NoTrans, n, n, n, alpha, q, pdq, 
            t, pdt, beta, c, pdc, &fail);
  if (fail.code != NE_NOERROR)
    {
      printf("Error from nag_zgemm (f16zac).\n%s\n",
             fail.message);
      exit_status = 1;
      goto END;
    }
  alpha.re = -1.0;
  beta.re = 1.0;
  nag_zgemm(order, Nag_NoTrans, Nag_ConjTrans, n, n, n, alpha, c, pdc, 
            q, pdq, beta, a, pda, &fail);
  if (fail.code != NE_NOERROR)
    {
      printf("Error from nag_zgemm (f16zac).\n%s\n",
             fail.message);
      exit_status = 1;
      goto END;
    }
  
  /* nag_zge_norm (f16uac): Find norm of matrix A and print warning if */
  /* it is too large */
  nag_zge_norm(order, Nag_OneNorm, n, n, a, pda, &norm, &fail);
  if (fail.code != NE_NOERROR)
    {
      printf("Error from nag_zge_norm (f16uac).\n%s\n",
              fail.message);
      exit_status = 1;
      goto END;
    }
  if (norm>pow(x02ajc(),0.8))
    {
      printf("%s\n%s\n","Norm of A-(Qt*Tt*Qt^H) is much greater than 0.",
             "Schur factorization has failed.");
    }
  else
    {
      /* Print condition number estimates */
      printf(" Condition number estimate of the selected cluster of"
             " eigenvalues = %11.2e\n", 1.0/s);
      printf("\n Condition number estimate of the specified invariant"
             " subspace = %11.2e\n", 1.0/sep);
    }
  
 END:
  NAG_FREE(a);
  NAG_FREE(c);
  NAG_FREE(q);
  NAG_FREE(t);
  NAG_FREE(w);
  NAG_FREE(select);

  return exit_status;
}