/* nag_fft_multiple_sine (c06hac) Example Program.
 *
 * Copyright 2014 Numerical Algorithms Group.
 *
 * Mark 2, 1991.
 * Mark 8 revised, 2004.
 */

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

#define X(I, J) x[(I) *row_len + (J)]

int main(void)
{
  Integer  exit_status = 0, i, j, m, n, row_len;
  NagError fail;
  double   *trig = 0, *x = 0;

  INIT_FAIL(fail);

  printf("nag_fft_multiple_sine (c06hac) Example Program Results\n");
  scanf(" %*[^\n]");    /* Skip heading in data file */
  while (scanf("%ld %ld", &m, &n) != EOF)
    {
      if (m >= 1 && n >= 1)
        {
          if (!(trig = NAG_ALLOC(2*n, double)) ||
              !(x = NAG_ALLOC(m*(n-1), double)))
            {
              printf("Allocation failure\n");
              exit_status = -1;
              goto END;
            }
        }
      else
        {
          printf("Invalid m or n.\n");
          exit_status = 1;
        }
      row_len = n - 1;
      scanf(" %*[^\n]"); /* Skip text in data file */
      scanf(" %*[^\n]");
      for (i = 0; i < m; ++i)
        for (j = 0; j < row_len; ++j)
          scanf("%lf", &X(i, j));
      printf("\nOriginal data values\n\n");
      for (i = 0; i < m; ++i)
        {
          for (j = 0; j < row_len; ++j)
            printf(" %10.4f%s", X(i, j),
                    (j%7 == 6 && j != row_len-1?"\n":""));
          printf("\n");
        }
      /* nag_fft_init_trig (c06gzc).
       * Initialization function for other c06 functions
       */
      nag_fft_init_trig(n, trig, &fail);
      if (fail.code != NE_NOERROR)
        {
          printf("Error from nag_fft_init_trig (c06gzc).\n%s\n",
                  fail.message);
          exit_status = 1;
          goto END;
        }
      /* Initialise trig array */
      /* nag_fft_multiple_sine (c06hac).
       * Discrete sine transform
       */
      nag_fft_multiple_sine(m, n, x, trig, &fail);
      if (fail.code != NE_NOERROR)
        {
          printf("Error from nag_fft_multiple_sine (c06hac).\n%s\n",
                  fail.message);
          exit_status = 1;
          goto END;
        }
      /* Compute transform */

      printf("\nDiscrete Fourier sine transforms\n\n");
      for (i = 0; i < m; ++i)
        {
          for (j = 0; j < row_len; ++j)
            printf(" %10.4f%s", X(i, j),
                    (j%7 == 6 && j != row_len-1?"\n":""));
          printf("\n");
        }

      /* nag_fft_multiple_sine (c06hac), see above. */
      nag_fft_multiple_sine(m, n, x, trig, &fail);
      if (fail.code != NE_NOERROR)
        {
          printf("Error from nag_fft_multiple_sine (c06hac).\n%s\n",
                  fail.message);
          exit_status = 1;
          goto END;
        }
      /* Compute inverse transform */

      printf("\nOriginal data as restored by inverse transform\n\n");
      for (i = 0; i < m; ++i)
        {
          for (j = 0; j < row_len; ++j)
            printf(" %10.4f%s", X(i, j),
                    (j%7 == 6 && j != row_len-1?"\n":""));
          printf("\n");
        }
 END:
      NAG_FREE(trig);
      NAG_FREE(x);
    }
  return exit_status;
}