/* nag_matop_complex_gen_matrix_fun_usd (f01fmc) Example Program.
 *
 * Copyright 2011, Numerical Algorithms Group.
 *
 * Mark 23, 2011.
 */
#include <nag.h>
#include <nag_stdlib.h>
#include <nagf01.h>
#include <nagx04.h>
#include <math.h>

#ifdef __cplusplus
extern "C" {
#endif
  static void NAG_CALL f(Integer m, Integer *iflag, Integer nz,
			 const Complex z[], Complex fz[], Nag_Comm *comm);
#ifdef __cplusplus
}
#endif

int main(void)
{

  /* Scalars */ 
  Integer        exit_status = 0;
  Integer        i, iflag, j, n, pda;

  /* Arrays */
  Integer        iuser[1];
  double         user[1];
  Complex        *a = 0;

  /* Nag Types */
  Nag_Comm       comm;
  Nag_OrderType  order;
  NagError       fail;

  INIT_FAIL(fail);

  comm.user = user;
  comm.iuser = iuser;
  user[0] = 0;
  iuser[0] = 0;

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

  printf("nag_matop_complex_gen_matrix_fun_usd (f01fmc) ");
  printf("Example Program Results\n\n");

  /* Skip heading in data file */
  scanf("%*[^\n]");

  /* Read in the problem size */
  scanf("%ld%*[^\n]", &n);

  pda = n;

  if (!(a = NAG_ALLOC((pda)*(n), Complex))) {
    printf("Allocation failure\n");
    exit_status = -1;
    goto END;
  }

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

  /* Find matrix function using
   * nag_matop_complex_gen_matrix_fun_usd (f01fmc)
   * Function of a complex matrix
   */
  nag_matop_complex_gen_matrix_fun_usd(order, n, a, pda, f, &comm, &iflag,
				       &fail);
  if (fail.code != NE_NOERROR)
    {
      printf("Error from nag_matop_complex_gen_matrix_fun_usd (f01fmc)\n%s\n",
	     fail.message);
      exit_status = 1;
      goto END;
    }

  /* Print solution using
   * nag_gen_complx_mat_print (x04dac).
   * Print complex general matrix (easy-to-use)
   */
  nag_gen_complx_mat_print(order, Nag_GeneralMatrix, Nag_NonUnitDiag, n, n, a,
			   pda, "f(A)", NULL, &fail);
  if (fail.code != NE_NOERROR)
    {
      printf("Error from nag_gen_complx_mat_print (x04dac)\n%s\n",
	     fail.message);
      exit_status = 2;
      goto END;
    }

 END:
  if (a) NAG_FREE(a);
  return exit_status;
}

static void NAG_CALL f(Integer m, Integer *iflag, Integer nz,
                       const Complex z[], Complex fz[], Nag_Comm *comm)
{
  /* Scalars */
  Integer j;
  for (j = 0; j < nz; j++) {
    /* The m^th derivative of exp(3z) for complex z */
    fz[j].re = pow(3.0,m)*exp(3.0*z[j].re)*cos(3.0*z[j].im);
    fz[j].im = pow(3.0,m)*exp(3.0*z[j].re)*sin(3.0*z[j].im);
  }
}