/* nag_lapackeig_dsbgvx (f08ubc) Example Program.
 *
 * Copyright 2022 Numerical Algorithms Group.
 *
 * Mark 28.3, 2022.
 */

#include <nag.h>
#include <stdio.h>

int main(void) {
  /* Scalars */
  double abstol, vl, vu;
  Integer exit_status = 0, il = 1, iu = 1;
  Integer i, j, ka, kb, m, n, pdab, pdbb, pdq, pdz, zsize;

  /* Arrays */
  double *ab = 0, *bb = 0, *q = 0, *w = 0, *z = 0;
  Integer *index = 0;
  char nag_enum_arg[40];

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

#ifdef NAG_COLUMN_MAJOR
#define AB_UPPER(I, J) ab[(J - 1) * pdab + ka + I - J]
#define AB_LOWER(I, J) ab[(J - 1) * pdab + I - J]
#define BB_UPPER(I, J) bb[(J - 1) * pdbb + kb + I - J]
#define BB_LOWER(I, J) bb[(J - 1) * pdbb + I - J]
  order = Nag_ColMajor;
#else
#define AB_UPPER(I, J) ab[(I - 1) * pdab + J - I]
#define AB_LOWER(I, J) ab[(I - 1) * pdab + ka + J - I]
#define BB_UPPER(I, J) bb[(I - 1) * pdbb + J - I]
#define BB_LOWER(I, J) bb[(I - 1) * pdbb + kb + J - I]
  order = Nag_RowMajor;
#endif

  INIT_FAIL(fail);

  printf("nag_lapackeig_dsbgvx (f08ubc) Example Program Results\n\n");

  /* Skip heading in data file */
  scanf("%*[^\n]");
  scanf("%" NAG_IFMT "%" NAG_IFMT "%" NAG_IFMT "%*[^\n]", &n, &ka, &kb);
  if (n < 0 || ka < kb || kb < 0) {
    printf("Invalid n, ka or kb\n");
    exit_status = 1;
    goto END;
  }
  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);
  scanf(" %39s%*[^\n]", nag_enum_arg);
  job = (Nag_JobType)nag_enum_name_to_value(nag_enum_arg);
  if (job == Nag_EigVals) {
    zsize = 1;
    pdz = 1;
  } else {
    zsize = n * n;
    pdz = n;
  }

  pdab = ka + 1;
  pdbb = kb + 1;
  pdq = n;
  /* Allocate memory */
  if (!(ab = NAG_ALLOC((ka + 1) * n, double)) ||
      !(bb = NAG_ALLOC((kb + 1) * n, double)) ||
      !(q = NAG_ALLOC(n * n, double)) || !(w = NAG_ALLOC(n, double)) ||
      !(z = NAG_ALLOC(zsize, double)) || !(index = NAG_ALLOC(n, Integer))) {
    printf("Allocation failure\n");
    exit_status = -1;
    goto END;
  }

  /* Read the lower and upper bounds of the interval to be searched. */
  scanf("%lf%lf%*[^\n]", &vl, &vu);

  /* Read the triangular parts of the matrices A and B from data file */
  if (uplo == Nag_Upper) {
    for (i = 1; i <= n; ++i)
      for (j = i; j <= MIN(i + ka, n); ++j)
        scanf("%lf", &AB_UPPER(i, j));
    scanf("%*[^\n]");
    for (i = 1; i <= n; ++i)
      for (j = i; j <= MIN(i + kb, n); ++j)
        scanf("%lf", &BB_UPPER(i, j));
  } else {
    for (i = 1; i <= n; ++i)
      for (j = MAX(1, i - ka); j <= i; ++j)
        scanf("%lf", &AB_LOWER(i, j));
    scanf("%*[^\n]");
    for (i = 1; i <= n; ++i)
      for (j = MAX(1, i - kb); j <= i; ++j)
        scanf("%lf", &BB_LOWER(i, j));
  }
  scanf("%*[^\n]");

  /* Use the default absolute error tolerance for eigenvalues. */
  abstol = 0.0;

  /* Solve the generalized symmetric eigenvalue problem A*x = lambda*B*x
   * using nag_lapackeig_dsbgvx (f08ubc).
   */
  nag_lapackeig_dsbgvx(order, job, Nag_Interval, uplo, n, ka, kb, ab, pdab, bb,
                       pdbb, q, pdq, vl, vu, il, iu, abstol, &m, w, z, pdz,
                       index, &fail);
  if (fail.code != NE_NOERROR) {
    printf("Error from in nag_lapackeig_dsbgvx (f08ubc).\n%s\n", fail.message);
    exit_status = 1;
    goto END;
  }

  /* Print eigensolution */
  printf("Number of eigenvalues found = %8" NAG_IFMT "\n\n", m);
  printf(" Eigenvalues\n   ");
  for (j = 0; j < m; ++j)
    printf(" %7.4f%s", w[j], j % 6 == 5 ? "\n" : " ");
  printf("\n");

  if (job == Nag_DoBoth) {
    /* nag_file_print_matrix_real_gen (x04cac): Print Matrix of eigenvectors Z.
     */
    printf("\n");
    fflush(stdout);
    nag_file_print_matrix_real_gen(order, Nag_GeneralMatrix, Nag_NonUnitDiag, n,
                                   m, z, pdz, "Selected eigenvectors", 0,
                                   &fail);
    if (fail.code != NE_NOERROR) {
      printf("Error from nag_file_print_matrix_real_gen (x04cac).\n%s\n",
             fail.message);
      exit_status = 1;
      goto END;
    }
    if (fail.code == NE_CONVERGENCE) {
      printf("eigenvectors failed to converge\n");
      printf("Indices of eigenvectors that did not converge\n   ");
      for (j = 0; j < n; ++j)
        printf("%8" NAG_IFMT "%s", index[j], j % 6 == 5 ? "\n" : "");
    }
  }

END:
  NAG_FREE(ab);
  NAG_FREE(bb);
  NAG_FREE(q);
  NAG_FREE(w);
  NAG_FREE(z);
  NAG_FREE(index);

  return exit_status;
}