/* nag_fft_init_trig (c06gzc) Example Program.
 *
 * Copyright 1990 Numerical Algorithms Group.
 *
 * Mark 1, 1990.
 * Mark 8 revised, 2004.
 */

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

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

  INIT_FAIL(fail);

  Vprintf("nag_fft_init_trig (c06gzc) Example Program Results\n");
  Vscanf("%*[^\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)) ||
               !( u = NAG_ALLOC(m*n, double)) ||
               !( v = NAG_ALLOC(m*n, double)) ||
               !( x = NAG_ALLOC(m*n, double)) )
            {
              Vprintf("Allocation failure\n");
              exit_status = -1;
              goto END;
            }
        }
      else
        {
          Vprintf("Invalid m or n.\n");
          exit_status = 1;
        }
      Vprintf("\n\nm = %2ld  n = %2ld\n", m, n);
      /* Read in data and print out. */
      for (j = 0; j<m; ++j)
        for (i = 0; i<n; ++i)
          Vscanf("%lf", &x[j*n + i]);
      Vprintf("\nOriginal data values\n\n");
      for (j = 0; j<m; ++j)
        {
          Vprintf("    ");
          for (i = 0; i<n; ++i)
            Vprintf("%10.4f%s", x[j*n + i],
                    (i%6==5 && i!=n-1 ? "\n    " : ""));
          Vprintf("\n");
        }
      /* nag_fft_init_trig (c06gzc).
       * Initialization function for other c06 functions
       */
      nag_fft_init_trig(n, trig, &fail);
      if (fail.code != NE_NOERROR)
        {
          Vprintf("Error from nag_fft_init_trig (c06gzc).\n%s\n", fail.message);
          exit_status = 1;
          goto END;
        }
      /* Initialize trig array */
      /* Calculate transform */
      /* nag_fft_multiple_real (c06fpc).
       * Multiple one-dimensional real discrete Fourier transforms
       */
      nag_fft_multiple_real(m, n, x, trig, &fail);
      if (fail.code != NE_NOERROR)
        {
          Vprintf("Error from nag_fft_multiple_real (c06fpc).\n%s\n",
                  fail.message);
          exit_status = 1;
          goto END;
        }

      Vprintf("\nDiscrete Fourier transforms in Hermitian format\n\n");
      for (j = 0; j<m; ++j)
        {
          Vprintf("    ");
          for (i = 0; i<n; ++i)
            Vprintf("%10.4f%s", x[j*n + i],
                    (i%6==5 && i!=n-1 ? "\n     " : ""));
          Vprintf("\n");
        }
      /* Convert Hermitian form to full complex */
      /* nag_multiple_hermitian_to_complex (c06gsc).
       * Convert Hermitian sequences to general complex sequences
       */
      nag_multiple_hermitian_to_complex(m, n, x, u, v, &fail);
      if (fail.code != NE_NOERROR)
        {
          Vprintf("Error from nag_multiple_hermitian_to_complex"
                  " (c06gsc).\n%s\n", fail.message);
          exit_status = 1;
          goto END;
        }

      Vprintf("\nFourier transforms in full complex form\n\n");
      for (j = 0; j<m; ++j)
        {
          Vprintf("Real");
          for (i = 0; i<n; ++i)
            Vprintf("%10.4f%s", u[j*n + i],
                    (i%6==5 && i!=n-1 ? "\n    " : ""));
          Vprintf("\nImag");
          for (i = 0; i<n; ++i)
            Vprintf("%10.4f%s", v[j*n + i],
                    (i%6==5 && i!=n-1 ? "\n     " : ""));
          Vprintf("\n\n");
        }
    END:
      if (trig) NAG_FREE(trig);
      if (u) NAG_FREE(u);
      if (v) NAG_FREE(v);
      if (x) NAG_FREE(x);
    }

  return exit_status;
}