/* nag_ftt_3d (c06pxc) Example Program.
 *
 * Copyright 2002 Numerical Algorithms Group.
 *
 * Mark 7, 2002.
 */

#include <nag.h>
#include <stdio.h>
#include <nag_stdlib.h>
#include <nagc06.h>
#include <nagx04.h>

int main(void)
{
  /* Scalars */
  Integer  i, j, k, n1, n2, n3;
  Integer  exit_status=0;
  NagError fail;
  /* Arrays */
  Complex *x=0;
#define X(I,J,K) x[(K-1)*n2*n1 + (J-1)*n1 + I - 1]

  INIT_FAIL(fail);
  Vprintf("nag_fft_3d (c06pxc) Example Program Results\n");
  /* Skip heading in data file */
  Vscanf("%*[^\n]");
  Vscanf("%ld%ld%ld", &n1, &n2, &n3);
  Vscanf("%*[^\n]");
  if (n1*n2*n3>=1)
    {
      /* Allocate memory */
      if ( !(x = NAG_ALLOC(n1 * n2 * n3, Complex)) )
        {
          Vprintf("Allocation failure\n");
          exit_status = -1;
          goto END;
        }

      /* Read in complex data and print out. */
      for (i = 1; i <= n1; ++i)
        {
          for (j = 1; j <= n2; ++j)
            {
              for (k = 1; k <= n3; ++k)
                {
                  Vscanf(" ( %lf, %lf ) ", &X(i,j,k).re, &X(i,j,k).im);
                }
            }
        }
      Vscanf("%*[^\n]");
      Vprintf("\nOriginal data values\n\n");
      /* nag_gen_complx_mat_print_comp (x04dbc).
       * Print complex general matrix (comprehensive)
       */
      nag_gen_complx_mat_print_comp(Nag_ColMajor, Nag_GeneralMatrix,
                                    Nag_NonUnitDiag, n2, n3, x, n1*n2,
                                    Nag_BracketForm, "%6.3f",
                                    "X(i,j,k) for i = 1", Nag_NoLabels, 0,
                                    Nag_NoLabels, 0, 90, 0, 0, &fail);
      Vprintf("\n");
      /* nag_gen_complx_mat_print_comp (x04dbc), see above. */
      nag_gen_complx_mat_print_comp(Nag_ColMajor, Nag_GeneralMatrix,
                                    Nag_NonUnitDiag, n2, n3, &X(2,1,1), n1*n2,
                                    Nag_BracketForm, "%6.3f",
                                    "X(i,j,k) for i = 2", Nag_NoLabels, 0,
                                    Nag_NoLabels, 0, 90, 0, 0, &fail);
      if (fail.code != NE_NOERROR)
        {
          Vprintf("Error from nag_gen_complx_mat_print_comp (x04dbc).\n%s\n",
                  fail.message);
          exit_status = 1;
          goto END;
        }

      /* Compute transform */
      /* nag_fft_3d (c06pxc).
       * Three-dimensional complex discrete Fourier transform,
       * complex data format
       */
      nag_fft_3d(Nag_ForwardTransform, n1, n2, n3, x, &fail);
      if (fail.code != NE_NOERROR)
        {
          Vprintf("Error from nag_fft_3d (c06pxc).\n%s\n", fail.message);
          exit_status = 1;
          goto END;
        }

      Vprintf("\nComponents of discrete Fourier transforms\n\n");
      /* nag_gen_complx_mat_print_comp (x04dbc), see above. */
      nag_gen_complx_mat_print_comp(Nag_ColMajor, Nag_GeneralMatrix,
                                    Nag_NonUnitDiag, n2, n3, x, n1*n2,
                                    Nag_BracketForm, "%6.3f",
                                    "X(i,j,k) for i = 1", Nag_NoLabels, 0,
                                    Nag_NoLabels, 0, 90, 0, 0, &fail);
      Vprintf("\n");
      /* nag_gen_complx_mat_print_comp (x04dbc), see above. */
      nag_gen_complx_mat_print_comp(Nag_ColMajor, Nag_GeneralMatrix,
                                    Nag_NonUnitDiag, n2, n3, &X(2,1,1), n1*n2,
                                    Nag_BracketForm, "%6.3f",
                                    "X(i,j,k) for i = 2", Nag_NoLabels, 0,
                                    Nag_NoLabels, 0, 90, 0, 0, &fail);
      if (fail.code != NE_NOERROR)
        {
          Vprintf("Error from nag_gen_complx_mat_print_comp (x04dbc).\n%s\n",
                  fail.message);
          exit_status = 1;
          goto END;
        }

      /* Compute inverse transform */
      /* nag_fft_3d (c06pxc), see above. */
      nag_fft_3d(Nag_BackwardTransform, n1, n2, n3, x, &fail);
      if (fail.code != NE_NOERROR)
        {
          Vprintf("Error from nag_fft_3d (c06pxc).\n%s\n", fail.message);
          exit_status = 1;
          goto END;
        }
      Vprintf("\nOriginal data as restored by inverse transform\n\n");
      /* nag_gen_complx_mat_print_comp (x04dbc), see above. */
      nag_gen_complx_mat_print_comp(Nag_ColMajor, Nag_GeneralMatrix,
                                    Nag_NonUnitDiag, n2, n3, x, n1*n2,
                                    Nag_BracketForm, "%6.3f",
                                    "X(i,j,k) for i = 1", Nag_NoLabels, 0,
                                    Nag_NoLabels, 0, 90, 0, 0, &fail);
      Vprintf("\n");
      /* nag_gen_complx_mat_print_comp (x04dbc), see above. */
      nag_gen_complx_mat_print_comp(Nag_ColMajor, Nag_GeneralMatrix,
                                    Nag_NonUnitDiag, n2, n3, &X(2,1,1), n1*n2,
                                    Nag_BracketForm, "%6.3f",
                                    "X(i,j,k) for i = 2", Nag_NoLabels, 0,
                                    Nag_NoLabels, 0, 90, 0, 0, &fail);
      if (fail.code != NE_NOERROR)
        {
          Vprintf("Error from nag_gen_complx_mat_print_comp (x04dbc).\n%s\n",
                  fail.message);
          exit_status = 1;
          goto END;
        }
    }
  else
    Vfprintf(stderr,"\nInvalid value of n1, n2 or n3.\n");

 END:
  if (x) NAG_FREE(x);

  return exit_status;
}