NAG Library Manual, Mark 30.2
Interfaces:  FL   CL   CPP   AD 

NAG CL Interface Introduction
Example description
/* nag_blast_zhfrk (f16zqc) Example Program.
 *
 * Copyright 2024 Numerical Algorithms Group.
 *
 * Mark 30.2, 2024.
 */

#include <nag.h>

int main(void) {
  /* Scalars */
  Integer exit_status = 0;
  double alpha, beta;
  Integer i, j, k, n, pda, pdc;
  /* Arrays */
  Complex *a = 0, *c = 0, *cr = 0;
  char nag_enum_arg[40];
  /* Nag Types */
  Nag_OrderType order;
  Nag_RFP_Store transr;
  Nag_UploType uplo;
  Nag_MatrixType matrix;
  Nag_TransType trans;
  NagError fail;

  INIT_FAIL(fail);

  printf("nag_blast_zhfrk (f16zqc) Example Program Results\n");
  /* Skip heading in data file */
  scanf("%*[^\n] ");
  scanf("%" NAG_IFMT "%" NAG_IFMT "%*[^\n] ", &n, &k);
  pdc = n;

#ifdef NAG_COLUMN_MAJOR
  order = Nag_ColMajor;
  pda = n;
#define C(I, J) c[(J - 1) * pdc + I - 1]
#define A(I, J) a[(J - 1) * pda + I - 1]
#else
  order = Nag_RowMajor;
  pda = k;
#define C(I, J) c[(I - 1) * pdc + J - 1]
#define A(I, J) a[(I - 1) * pda + J - 1]
#endif

  if (!(c = NAG_ALLOC(pdc * n, Complex)) ||
      !(cr = NAG_ALLOC((n * (n + 1)) / 2, Complex)) ||
      !(a = NAG_ALLOC(n * k, Complex))) {
    printf("Allocation failure\n");
    exit_status = -1;
    goto END;
  }
  /* Nag_RFP_Store */
  scanf("%39s ", nag_enum_arg);
  transr = (Nag_RFP_Store)nag_enum_name_to_value(nag_enum_arg);
  /* Nag_UploType */
  scanf("%39s ", nag_enum_arg);
  uplo = (Nag_UploType)nag_enum_name_to_value(nag_enum_arg);
  /* Nag_TransType */
  scanf("%39s  %*[^\n] ", nag_enum_arg);
  trans = (Nag_TransType)nag_enum_name_to_value(nag_enum_arg);
  scanf("%lf%lf%*[^\n] ", &alpha, &beta);
  /* Read upper or lower triangle of matrix C from data file */
  if (uplo == Nag_Lower) {
    for (i = 1; i <= n; i++) {
      for (j = 1; j <= i; j++) {
        scanf(" ( %lf , %lf ) ", &C(i, j).re, &C(i, j).im);
      }
    }
  } else {
    for (i = 1; i <= n; i++) {
      for (j = i; j <= n; j++) {
        scanf(" ( %lf , %lf ) ", &C(i, j).re, &C(i, j).im);
      }
    }
  }
  scanf("%*[^\n] ");

  /* Read matrix A from data file */
  for (i = 1; i <= n; i++) {
    for (j = 1; j <= k; j++) {
      scanf(" ( %lf , %lf ) ", &A(i, j).re, &A(i, j).im);
    }
  }

  /* Convert Hermitian matrix C from full triangular storage to rectangular full
   * packed storage (in cr) using nag_matop_ztrttf (f01vfc).
   */
  nag_matop_ztrttf(order, transr, uplo, n, c, pdc, cr, &fail);
  if (fail.code != NE_NOERROR) {
    printf("Error from nag_matop_ztrttf (f01vfc).\n%s\n", fail.message);
    exit_status = 1;
    goto END;
  }

  printf("\n");
  /* Perform the rank-k update of Hermitian matrix C by complex matrix A
   * using nag_blast_zhfrk (f16zqc).
   */
  nag_blast_zhfrk(order, transr, uplo, trans, n, k, alpha, a, pda, beta, cr,
                  &fail);
  if (fail.code != NE_NOERROR) {
    printf("Error from nag_blast_zhfrk (f16zqc).\n%s\n", fail.message);
    exit_status = 1;
    goto END;
  }

  /* Convert C back from rectangular full packed (cr) to standard triangular
   * storage format (c) using nag_matop_ztfttr (f01vhc).
   */
  nag_matop_ztfttr(order, transr, uplo, n, cr, c, pdc, &fail);
  if (fail.code != NE_NOERROR) {
    printf("Error from nag_matop_ztfttr (f01vhc).\n%s\n", fail.message);
    exit_status = 1;
    goto END;
  }

  matrix = (uplo == Nag_Upper ? Nag_UpperMatrix : Nag_LowerMatrix);

  /* Print out the result, stored in the lower triangle of matrix C using
   * the easy-to-use print routine nag_gen_cmplx_mat_print (x04dac).
   */
  fflush(stdout);
  nag_file_print_matrix_complex_gen(order, matrix, Nag_NonUnitDiag, n, n, c,
                                    pdc, "The Solution", 0, &fail);
  if (fail.code != NE_NOERROR) {
    printf("Error from nag_file_print_matrix_complex_gen (x04dac).\n%s\n",
           fail.message);
    exit_status = 1;
  }

END:
  NAG_FREE(a);
  NAG_FREE(c);
  NAG_FREE(cr);
  return exit_status;
}