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

# include "r8to.h"

int main ( );
void r8to_dif2_test ( );
void r8to_indicator_test ( );
void r8to_mtv_test ( );
void r8to_mv_test ( );
void r8to_print_test ( );
void r8to_print_some_test ( );
void r8to_random_test ( );
void r8to_sl_test ( );
void r8to_slt_test ( );
void r8to_to_r8ge_test ( );
void r8to_zeros_test ( );

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

int main ( )

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

    MAIN is the main program for R8TO_TEST.

  Discussion:

    R8TO_TEST tests the R8TO library.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    26 September 2015

  Author:

    John Burkardt
*/
{
  timestamp ( );
  printf ( "\n" );
  printf ( "R8TO_TEST\n" );
  printf ( "  C version\n" );
  printf ( "  Test the R8TO library.\n" );

  r8to_dif2_test ( );
  r8to_indicator_test ( );
  r8to_mtv_test ( );
  r8to_mv_test ( );
  r8to_print_test ( );
  r8to_print_some_test ( );
  r8to_random_test ( );
  r8to_sl_test ( );
  r8to_slt_test ( );
  r8to_to_r8ge_test ( );
  r8to_zeros_test ( );
/*
  Terminate.
*/
  printf ( "\n" );
  printf ( "R8TO_TEST\n" );
  printf ( "  Normal end of execution.\n" );
  printf ( "\n" );
  timestamp ( );

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

void r8to_dif2_test ( )

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

    R8TO_DIF2_TEST tests R8TO_DIF2.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    25 September 2015

  Author:

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

  printf ( "\n" );
  printf ( "R8TO_DIF2_TEST\n" );
  printf ( "  R8TO_DIF2 sets the second difference as an R8TO matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r8to_dif2 ( n );

  r8to_print ( n, a, "  The R8TO matrix:" );

  free ( a );

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

void r8to_indicator_test ( )

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

    R8TO_INDICATOR_TEST tests R8TO_INDICATOR.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    07 April 2013

  Author:

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

  printf ( "\n" );
  printf ( "R8TO_INDICATOR_TEST\n" );
  printf ( "  R8TO_INDICATOR sets up an R8TO indicator matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r8to_indicator ( n );

  r8to_print ( n, a, "  The R8TO indicator matrix:" );

  free ( a );

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

void r8to_mtv_test ( )

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

    R8TO_MTV_TEST tests R8TO_MTV.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    26 September 2015

  Author:

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

  printf ( "\n" );
  printf ( "R8TO_MTV_TEST\n" );
  printf ( "  R8TO_MTV computes b=A'*x=b, where A is an R8TO matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r8to_indicator ( n );
  r8to_print ( n, a, "  The Toeplitz matrix:" );

  x = r8vec_indicator1_new ( n );
  r8vec_print ( n, x, "  x:" );
/*
  Compute b=A'*x.
*/
  b = r8to_mtv ( n, a, x );
  r8vec_print ( n, b, "  b=A'*x:" );

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

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

void r8to_mv_test ( )

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

    R8TO_MV_TEST tests R8TO_MV.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    26 September 2015

  Author:

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

  printf ( "\n" );
  printf ( "R8TO_MV_TEST\n" );
  printf ( "  R8TO_MV computes b=A*x=b, where A is an R8TO matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r8to_indicator ( n );
  r8to_print ( n, a, "  The Toeplitz matrix:" );

  x = r8vec_indicator1_new ( n );
  r8vec_print ( n, x, "  x:" );
/*
  Compute b=A*x.
*/
  b = r8to_mv ( n, a, x );
  r8vec_print ( n, b, "  b=A*x:" );

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

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

void r8to_print_test ( )

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

    R8TO_PRINT_TEST tests R8TO_PRINT.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    26 September 2015

  Author:

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

  printf ( "\n" );
  printf ( "R8TO_PRINT_TEST\n" );
  printf ( "  R8TO_PRINT prints an R8TO matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r8to_indicator ( n );

  r8to_print ( n, a, "  The R8TO indicator matrix:" );

  free ( a );

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

void r8to_print_some_test ( )

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

    R8TO_PRINT_SOME_TEST tests R8TO_PRINT_SOME.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    26 September 2015

  Author:

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

  printf ( "\n" );
  printf ( "R8TO_PRINT_SOME_TEST\n" );
  printf ( "  R8TO_PRINT_SOME prints some of an R8TO matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r8to_indicator ( n );

  r8to_print_some ( n, a, 1, 0, 4, 2, "  Rows 1:4, Cols 0:2" );

  free ( a );

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

void r8to_random_test ( )

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

    R8TO_RANDOM_TEST tests R8TO_RANDOM.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    26 September 2015

  Author:

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

  printf ( "\n" );
  printf ( "R8TO_RANDOM_TEST\n" );
  printf ( "  R8TO_RANDOM randomizes an R8TO matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );
/*
  Set the matrix.
*/
  a = r8to_random ( n, &seed );

  r8to_print ( n, a, "  The Toeplitz matrix:" );

  free ( a );

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

void r8to_sl_test ( )

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

    R8TO_SL_TEST tests R8TO_SL.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    25 September 2015

  Author:

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

  printf ( "\n" );
  printf ( "R8TO_SL_TEST\n" );
  printf ( "  R8TO_SL solves a Toeplitz system.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );
/*
  Set the matrix.
*/
  a = r8to_random ( n, &seed );

  r8to_print ( n, a, "  The Toeplitz matrix:" );
//
//  Set the desired solution.
//
  x = r8vec_indicator1_new ( n );
//
//  Compute the corresponding right hand side.
//
  b = r8to_mv ( n, a, x );
//
//  Solve the linear system.
//
  free ( x );
  x = r8to_sl ( n, a, b );

  r8vec_print ( n, x, "  Solution:" );

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

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

void r8to_slt_test ( )

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

    R8TO_SLT_TEST tests R8TO_SLT.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    06 April 2013

  Author:

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

  printf ( "\n" );
  printf ( "R8TO_SLT_TEST\n" );
  printf ( "  R8TO_SLT solves A'*x=b, where A is an R8TO matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );
/*
  Set the matrix.
*/
  a = r8to_random ( n, &seed );

  r8to_print ( n, a, "  The Toeplitz matrix:" );
//
//  Set the desired solution.
//
  x = r8vec_indicator1_new ( n );
//
//  Compute the corresponding right hand side.
//
  b = r8to_mtv ( n, a, x );
//
//  Solve the linear system.
//
  free ( x );
  x = r8to_slt ( n, a, b );

  r8vec_print ( n, x, "  Solution to transposed system:" );

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

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

void r8to_to_r8ge_test ( )

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

    R8TO_TO_R8GE_TEST tests R8TO_TO_R8GE.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    26 September 2015

  Author:

    John Burkardt
*/
{
  double *a_r8ge;
  double *a_r8to;
  int n = 5;
  int seed = 123456789;

  printf ( "\n" );
  printf ( "R8TO_TO_R8GE_TEST\n" );
  printf ( "  R8TO_TO_R8GE converts an R8TO matrix to R8GE format.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a_r8to = r8to_random ( n, &seed );

  r8to_print ( n, a_r8to, "  The R8TO matrix:" );

  a_r8ge = r8to_to_r8ge ( n, a_r8to );

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

  free ( a_r8ge );
  free ( a_r8to );

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

void r8to_zeros_test ( )

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

    R8TO_ZEROS_TEST tests R8TO_ZEROS.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    26 September 2015

  Author:

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

  printf ( "\n" );
  printf ( "R8TO_ZEROS_TEST\n" );
  printf ( "  R8TO_ZEROS zeros an R8TO matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r8to_zeros ( n );

  r8to_print ( n, a, "  The R8TO matrix:" );

  free ( a );

  return;
}