NAG Library Manual, Mark 30
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NAG CL Interface Introduction
Example description
/* nag_sparse_complex_gen_basic_setup (f11brc) Example Program.
 *
 * Copyright 2024 Numerical Algorithms Group.
 *
 * Mark 30.0, 2024.
 */

#include <nag.h>
int main(void) {
  /* Scalars */
  Integer exit_status = 0;
  double anorm, dtol, sigmax, stplhs, stprhs, tol;
  Integer i, irevcm, iterm, itn, la, lfill, lwork, lwreq, m, maxitn, monit, n,
      nnz, nnzc, npivm;
  /* Arrays */
  char nag_enum_arg[100];
  Complex *a = 0, *b = 0, *work = 0, *x = 0;
  double *wgt = 0;
  Integer *icol = 0, *idiag = 0, *ipivp = 0, *ipivq = 0, *irow = 0, *istr = 0;
  /* NAG types */
  Nag_SparseNsym_Piv pstrat;
  Nag_SparseNsym_Fact milu;
  Nag_SparseNsym_Method method;
  Nag_SparseNsym_PrecType precon;
  Nag_NormType norm;
  Nag_SparseNsym_Weight weight;
  Nag_TransType trans;
  Nag_SparseNsym_CheckData check = Nag_SparseNsym_NoCheck;
  NagError fail, fail1;

  INIT_FAIL(fail);
  INIT_FAIL(fail1);

  printf(
      "nag_sparse_complex_gen_basic_setup (f11brc) Example Program Results\n");
  /* Skip heading in data file */
  scanf("%*[^\n]");
  scanf("%" NAG_IFMT "%*[^\n]", &n);
  scanf("%" NAG_IFMT "%*[^\n]", &nnz);
  la = 2 * nnz;
  lwork = 200;
  if (!(a = NAG_ALLOC((la), Complex)) || !(b = NAG_ALLOC((n), Complex)) ||
      !(work = NAG_ALLOC((lwork), Complex)) || !(x = NAG_ALLOC((n), Complex)) ||
      !(wgt = NAG_ALLOC((n), double)) || !(icol = NAG_ALLOC((la), Integer)) ||
      !(idiag = NAG_ALLOC((n), Integer)) ||
      !(ipivp = NAG_ALLOC((n), Integer)) ||
      !(ipivq = NAG_ALLOC((n), Integer)) ||
      !(irow = NAG_ALLOC((la), Integer)) ||
      !(istr = NAG_ALLOC((n + 1), Integer))) {
    printf("Allocation failure\n");
    exit_status = -1;
    goto END;
  }

  /* Read or initialize the parameters for the iterative solver */
  scanf("%99s%*[^\n]", nag_enum_arg);
  /* nag_enum_name_to_value (x04nac).
   * Converts NAG enum member name to value
   */
  method = (Nag_SparseNsym_Method)nag_enum_name_to_value(nag_enum_arg);
  scanf("%99s%*[^\n]", nag_enum_arg);
  precon = (Nag_SparseNsym_PrecType)nag_enum_name_to_value(nag_enum_arg);
  scanf("%99s%*[^\n]", nag_enum_arg);
  norm = (Nag_NormType)nag_enum_name_to_value(nag_enum_arg);
  scanf("%99s%*[^\n]", nag_enum_arg);
  weight = (Nag_SparseNsym_Weight)nag_enum_name_to_value(nag_enum_arg);
  scanf("%" NAG_IFMT "%*[^\n]", &iterm);
  scanf("%" NAG_IFMT "%lf%" NAG_IFMT "%*[^\n]", &m, &tol, &maxitn);
  scanf("%" NAG_IFMT "%*[^\n]", &monit);

  /* Read the parameters for the preconditioner */
  scanf("%" NAG_IFMT "%lf%*[^\n]", &lfill, &dtol);
  scanf("%99s%*[^\n]", nag_enum_arg);
  milu = (Nag_SparseNsym_Fact)nag_enum_name_to_value(nag_enum_arg);
  scanf("%99s%*[^\n]", nag_enum_arg);
  pstrat = (Nag_SparseNsym_Piv)nag_enum_name_to_value(nag_enum_arg);

  /* Read the nonzero elements of the matrix A */
  for (i = 0; i < nnz; i++)
    scanf(" ( %lf , %lf ) %" NAG_IFMT "%" NAG_IFMT "%*[^\n]", &a[i].re,
          &a[i].im, &irow[i], &icol[i]);

  /* Read right-hand side vector B and initial approximate solution */
  for (i = 0; i < n; i++)
    scanf(" ( %lf , %lf )", &b[i].re, &b[i].im);
  scanf("%*[^\n]");
  for (i = 0; i < n; i++)
    scanf(" ( %lf , %lf )", &x[i].re, &x[i].im);
  scanf("%*[^\n]");

  /* nag_sparse_complex_gen_precon_ilu (f11dnc)
   * Incomplete LU factorization (non-hermitian)
   */
  nag_sparse_complex_gen_precon_ilu(n, nnz, a, la, irow, icol, lfill, dtol,
                                    pstrat, milu, ipivp, ipivq, istr, idiag,
                                    &nnzc, &npivm, &fail);
  if (fail.code != NE_NOERROR) {
    printf("Error from nag_sparse_complex_gen_precon_ilu (f11dnc)\n%s\n",
           fail.message);
    exit_status = 1;
    goto END;
  }

  /* Initialize the solver using nag_sparse_complex_gen_basic_setup (f11brc)
   * Complex sparse non-Hermitian linear systems, setup routine
   */
  anorm = 0.0;
  sigmax = 0.0;
  nag_sparse_complex_gen_basic_setup(method, precon, norm, weight, iterm, n, m,
                                     tol, maxitn, anorm, sigmax, monit, &lwreq,
                                     work, lwork, &fail);
  if (fail.code != NE_NOERROR) {
    printf("Error from nag_sparse_complex_gen_basic_setup (f11brc)\n%s\n",
           fail.message);
    exit_status = 2;
    goto END;
  }

  /* Call solver repeatedly to solve the equations.
   * Note that the arrays B and X are overwritten on final exit,
   * X will contain the solution and B the residual vector
   */
  irevcm = 0;
  lwreq = lwork;
  /* First call to nag_sparse_complex_gen_basic_solver (f11bsc)
   * Complex sparse non-Hermitian linear systems, solver routine
   * preconditioned RGMRES, CGS, Bi-CGSTAB or TFQMR method
   */
  nag_sparse_complex_gen_basic_solver(&irevcm, x, b, wgt, work, lwreq, &fail);
  while (irevcm != 4) {
    switch (irevcm) {
    case -1:
      /* nag_sparse_complex_gen_matvec (f11xnc)
       * Complex sparse non-Hermitian matrix vector multiply
       */
      trans = Nag_ConjTrans;
      nag_sparse_complex_gen_matvec(trans, n, nnz, a, irow, icol, check, x, b,
                                    &fail1);
      break;
    case 1:
      trans = Nag_NoTrans;
      nag_sparse_complex_gen_matvec(trans, n, nnz, a, irow, icol, check, x, b,
                                    &fail1);
      break;
    case 2:
      /* nag_sparse_complex_gen_precon_ilu_solve (f11dpc)
       * Solution of complex linear system involving incomplete LU
       * preconditioning matrix
       */
      trans = Nag_NoTrans;
      nag_sparse_complex_gen_precon_ilu_solve(trans, n, a, la, irow, icol,
                                              ipivp, ipivq, istr, idiag, check,
                                              x, b, &fail1);
      break;
    case 3:
      /* nag_sparse_complex_gen_basic_diag (f11btc)
       * Complex sparse non-Hermitian linear systems, diagnostic routine
       */
      nag_sparse_complex_gen_basic_diag(&itn, &stplhs, &stprhs, &anorm, &sigmax,
                                        work, lwreq, &fail1);
      printf("\nMonitoring at iteration no.%4" NAG_IFMT "\n", itn);
      printf("residual norm%14.4e\n\n", stplhs);
      printf(" Current Solution vector\n");
      for (i = 0; i < n; i++)
        printf(" (%13.4e, %13.4e)\n", x[i].re, x[i].im);
      printf("\n Current Residual vector\n");
      for (i = 0; i < n; i++)
        printf(" (%13.4e, %13.4e)\n", b[i].re, b[i].im);
      printf("\n");
    }
    if (fail1.code != NE_NOERROR)
      irevcm = 6;
    /* Next call to nag_sparse_complex_gen_basic_solver (f11bsc) */
    nag_sparse_complex_gen_basic_solver(&irevcm, x, b, wgt, work, lwreq, &fail);
  }
  if (fail.code != NE_NOERROR) {
    printf("Error from nag_sparse_complex_gen_basic_solver (f11bsc)\n%s\n",
           fail.message);
    exit_status = 3;
    goto END;
  }

  /* Obtain information about the computation using
   * nag_sparse_complex_gen_basic_diag (f11btc).
   */
  nag_sparse_complex_gen_basic_diag(&itn, &stplhs, &stprhs, &anorm, &sigmax,
                                    work, lwreq, &fail);
  if (fail.code != NE_NOERROR) {
    printf("Error from nag_sparse_complex_gen_basic_diag (f11btc) \n%s\n",
           fail.message);
    exit_status = 4;
    goto END;
  }
  /* Print the output data */
  printf("Final Results\n");
  printf("Number of iterations for convergence:     %5" NAG_IFMT "\n", itn);
  printf("Residual norm:                            %14.4e\n", stplhs);
  printf("Right-hand side of termination criterion: %14.4e\n", stprhs);
  printf("1-norm of matrix A:                       %14.4e\n", anorm);
  /* Output x */
  printf("\n  Solution vector\n");
  for (i = 0; i < n; i++)
    printf(" (%13.4e, %13.4e)\n", x[i].re, x[i].im);
  printf("\n  Residual vector\n");
  for (i = 0; i < n; i++)
    printf(" (%13.4e, %13.4e)\n", b[i].re, b[i].im);
  printf("\n");
END:

  NAG_FREE(a);
  NAG_FREE(b);
  NAG_FREE(work);
  NAG_FREE(x);
  NAG_FREE(wgt);
  NAG_FREE(icol);
  NAG_FREE(idiag);
  NAG_FREE(ipivp);
  NAG_FREE(ipivq);
  NAG_FREE(irow);
  NAG_FREE(istr);

  return exit_status;
}