# include <complex.h>
# include <math.h>
# include <stdio.h>
# include <stdlib.h>
# include <time.h>

# include "r8ci.h"

int main ( );
void r8ci_det_test ( );
void r8ci_dif2_test ( );
void r8ci_eval_test ( );
void r8ci_indicator_test ( );
void r8ci_mtv_test ( );
void r8ci_mv_test ( );
void r8ci_print_test ( );
void r8ci_print_some_test ( );
void r8ci_sl_test ( );
void r8ci_to_r8ge_test ( );
void r8ci_zeros_test ( );
void timestamp ( );

/******************************************************************************/

int main ( )

/******************************************************************************/
/*
  Purpose:

    r8ci_test() tests r8ci().

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    21 August 2022

  Author:

    John Burkardt
*/
{
  timestamp ( );
  printf ( "\n" );
  printf ( "r8ci_test():\n" );
  printf ( "  C version\n" );
  printf ( "  Test r8ci().\n" );

  r8ci_det_test ( );
  r8ci_dif2_test ( );
  r8ci_eval_test ( );
  r8ci_indicator_test ( );
  r8ci_mtv_test ( );
  r8ci_mv_test ( );
  r8ci_print_test ( );
  r8ci_print_some_test ( );
  r8ci_sl_test ( );
  r8ci_to_r8ge_test ( );
  r8ci_zeros_test ( );
/*
  Terminate.
*/
  printf ( "\n" );
  printf ( "r8ci_test():\n" );
  printf ( "  Normal end of execution.\n" );
  printf ( "\n" );
  timestamp ( );

  return 0;
}
/******************************************************************************/

void r8ci_det_test ( )

/******************************************************************************/
/*
  Purpose:

    R8CI_DET_TEST tests R8CI_DET.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    17 June 2016

  Author:

    John Burkardt
*/
{
  double *a;
  double det;
  int n = 5;
  int seed = 123456789;

  printf ( "\n" );
  printf ( "R8CI_DET_TEST\n" );
  printf ( "  R8CI_DET finds the determinant of an R8CI matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );
/*
  Set the matrix.
*/
  a = r8ci_random ( n, &seed );

  r8ci_print ( n, a, "  The R8CI matrix:" );

  det = r8ci_det ( n, a );

  printf ( "\n" );
  printf ( "  Computed determinant = %g\n", det );

  free ( a );

  return;
}
/******************************************************************************/

void r8ci_dif2_test ( )

/******************************************************************************/
/*
  Purpose:

    R8CI_DIF2_TEST tests R8CI_DIF2.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    17 June 2016

  Author:

    John Burkardt
*/
{
  double *a;
  int n = 5;

  printf ( "\n" );
  printf ( "R8CI_DIF2_TEST\n" );
  printf ( "  R8CI_DIF2 sets up an R8CI periodic second difference matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r8ci_dif2 ( n );

  r8ci_print ( n, a, "  The R8CI matrix:" );

  free ( a );

  return;
}
/******************************************************************************/

void r8ci_eval_test ( )

/******************************************************************************/
/*
  Purpose:

    R8CI_EVAL_TEST tests R8CI_EVAL.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    18 March 2013

  Author:

    John Burkardt
*/
{
# define N 5

  double *a;
  double complex *lambda;
  int seed = 123456789;

  printf ( "\n" );
  printf ( "R8CI_EVAL_TEST\n" );
  printf ( "  R8CI_EVAL finds the eigenvalues of an R8CI matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", N );
/*
  Set the matrix.
*/
  a = r8ci_random ( N, &seed );

  r8ci_print ( N, a, "  The circulant matrix:" );

  lambda = r8ci_eval ( N, a );

  c8vec_print ( N, lambda, "  The eigenvalues:" );

  free ( a );
  free ( lambda );

  return;
# undef N
}
/******************************************************************************/

void r8ci_indicator_test ( )

/******************************************************************************/
/*
  Purpose:

    R8CI_INDICATOR_TEST tests R8CI_INDICATOR.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    18 March 2013

  Author:

    John Burkardt
*/
{
  double *a;
  int n = 5;

  printf ( "\n" );
  printf ( "R8CI_INDICATOR_TEST\n" );
  printf ( "  R8CI_INDICATOR sets up an R8CI indicator matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r8ci_indicator ( n );

  r8ci_print ( n, a, "  The R8CI matrix:" );

  free ( a );

  return;
}
/******************************************************************************/

void r8ci_mtv_test ( )

/******************************************************************************/
/*
  Purpose:

    R8CI_MTV_TEST tests R8CI_MTV.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    17 June 2016

  Author:

    John Burkardt
*/
{
  double *a;
  double *b;
  double *x;
  int n = 5;

  printf ( "\n" );
  printf ( "R8CI_MTV_TEST\n" );
  printf ( "  R8CI_MTV computes b=A'*x, where A is an R8CI indicator matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r8ci_indicator ( n );
  r8ci_print ( n, a, "  The R8CI matrix:" );

  x = r8vec_indicator1_new ( n );
  r8vec_print ( n, x, "  The vector x:" );

  b = r8ci_mtv ( n, a, x );
  r8vec_print ( n, b, "  The product b=A'*x:" );

  free ( a );
  free ( b );
  free ( x );

  return;
}
/******************************************************************************/

void r8ci_mv_test ( )

/******************************************************************************/
/*
  Purpose:

    R8CI_MV_TEST tests R8CI_MV.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    17 June 2016

  Author:

    John Burkardt
*/
{
  double *a;
  double *b;
  double *x;
  int n = 5;

  printf ( "\n" );
  printf ( "R8CI_MV_TEST\n" );
  printf ( "  R8CI_MV computes b=A*x, where A is an R8CI indicator matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r8ci_indicator ( n );
  r8ci_print ( n, a, "  The R8CI matrix:" );

  x = r8vec_indicator1_new ( n );
  r8vec_print ( n, x, "  The vector x:" );

  b = r8ci_mv ( n, a, x );
  r8vec_print ( n, b, "  The product b=A*x:" );

  free ( a );
  free ( b );
  free ( x );

  return;
}
/******************************************************************************/

void r8ci_print_test ( )

/******************************************************************************/
/*
  Purpose:

    R8CI_PRINT_TEST tests R8CI_PRINT.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    18 March 2013

  Author:

    John Burkardt
*/
{
  double *a;
  int n = 5;

  printf ( "\n" );
  printf ( "R8CI_PRINT_TEST\n" );
  printf ( "  R8CI_PRINT prints an R8CI matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r8ci_indicator ( n );

  r8ci_print ( n, a, "  The R8CI matrix:" );

  free ( a );

  return;
}
/******************************************************************************/

void r8ci_print_some_test ( )

/******************************************************************************/
/*
  Purpose:

    R8CI_PRINT_SOME_TEST tests R8CI_PRINT_SOME.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    17 June 2016

  Author:

    John Burkardt
*/
{
  double *a;
  int n = 10;

  printf ( "\n" );
  printf ( "R8CI_PRINT_SOME_TEST\n" );
  printf ( "  R8CI_PRINT_SOME prints some of an R8CI matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r8ci_indicator ( n );

  r8ci_print_some ( n, a, 1, 2, 5, 4, "  Rows 1-5, Cols 2-4:" );

  free ( a );

  return;
}
/******************************************************************************/

void r8ci_sl_test ( )

/******************************************************************************/
/*
  Purpose:

    R8CI_SL_TEST tests R8CI_SL.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    19 March 2013

  Author:

    John Burkardt
*/
{
  double *a;
  double *b;
  int job;
  int n = 10;
  int seed = 123456789;
  double *x;

  printf ( "\n" );
  printf ( "R8CI_SL_TEST\n" );
  printf ( "  R8CI_SL solves a linear system with an R8CI matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );
/*
  Set the matrix.
*/
  a = r8ci_random ( n, &seed );

  r8ci_print ( n, a, "  The circulant matrix:" );

  for ( job = 0; job <= 1; job++ )
  {
/*
  Set the desired solution.
*/
    x = r8vec_indicator1_new ( n );
/*
  Compute the corresponding right hand side.
*/
    if ( job == 0 )
    {
      b = r8ci_mv ( n, a, x );
    }
    else
    {
      b = r8ci_mtv ( n, a, x );
    }
/*
  Solve the linear system.
*/
    free ( x );
    x = r8ci_sl ( n, a, b, job );

    if ( job == 0 )
    {
      r8vec_print ( n, x, "  Solution to A*x=b:" );
    }
    else
    {
      r8vec_print ( n, x, "  Solution to A'*x=b:" );
    }

    free ( b );
    free ( x );

  }
 
  free ( a );

  return;
}
/******************************************************************************/

void r8ci_to_r8ge_test ( )

/******************************************************************************/
/*
  Purpose:

    R8CI_TO_R8GE_TEST tests R8CI_TO_R8GE.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    17 June 2016

  Author:

    John Burkardt
*/
{
  double *a;
  double *a_r8ge;
  int n = 5;

  printf ( "\n" );
  printf ( "R8CI_TO_R8GE_TEST\n" );
  printf ( "  R8CI_TO_R8GE converts an R8CI matrix to R8GE format.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r8ci_indicator ( n );

  r8ci_print ( n, a, "  The R8CI matrix:" );

  a_r8ge = r8ci_to_r8ge ( n, a );

  r8ge_print ( n, n, a_r8ge, "  The R8GE matrix:" );

  free ( a );
  free ( a_r8ge );

  return;
}
/******************************************************************************/

void r8ci_zeros_test ( )

/******************************************************************************/
/*
  Purpose:

    R8CI_ZEROS_TEST tests R8CI_ZEROS.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    17 June 2017

  Author:

    John Burkardt
*/
{
  double *a;
  int n = 5;

  printf ( "\n" );
  printf ( "R8CI_ZEROS_TEST\n" );
  printf ( "  R8CI_ZEROS sets up a zero R8CI matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r8ci_zeros ( n );

  r8ci_print ( n, a, "  The R8CI matrix:" );

  free ( a );

  return;
}
/******************************************************************************/

void timestamp ( )

/******************************************************************************/
/*
  Purpose:

    TIMESTAMP prints the current YMDHMS date as a time stamp.

  Example:

    31 May 2001 09:45:54 AM

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    24 September 2003

  Author:

    John Burkardt
*/
{
# define TIME_SIZE 40

  static char time_buffer[TIME_SIZE];
  const struct tm *tm;
  time_t now;

  now = time ( NULL );
  tm = localtime ( &now );

  strftime ( time_buffer, TIME_SIZE, "%d %B %Y %I:%M:%S %p", tm );

  printf ( "%s\n", time_buffer );

  return;
# undef TIME_SIZE
}