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

# include "r85.h"

int main ( );
void r85_dif2_test ( );
void r85_indicator_test ( );
void r85_mtv_test ( );
void r85_mv_test ( );
void r85_np_fs_test ( );
void r85_print_test ( );
void r85_print_some_test ( );
void r85_random_test ( );
void r85_to_r8ge_test ( );
void r85_zeros_test ( );

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

int main ( )

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

    MAIN is the main program for R85_TEST.

  Discussion:

    R85_TEST tests R85.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    15 July 2016

  Author:

    John Burkardt
*/
{
  timestamp ( );
  printf ( "\n" );
  printf ( "R85_TEST\n" );
  printf ( "  C version\n" );
  printf ( "  Test the R85 library.\n" );

  r85_dif2_test ( );
  r85_indicator_test ( );
  r85_mtv_test ( );
  r85_mv_test ( );
  r85_np_fs_test ( );
  r85_print_test ( );
  r85_print_some_test ( );
  r85_random_test ( );
  r85_to_r8ge_test ( );
  r85_zeros_test ( );
/*
  Terminate.
*/
  printf ( "\n" );
  printf ( "R85_TEST\n" );
  printf ( "  Normal end of execution.\n" );
  printf ( "\n" );
  timestamp ( );

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

void r85_dif2_test ( )

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

    R85_DIF2_TEST tests R85_DIF2.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    12 July 2016

  Author:

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

  printf ( "\n" );
  printf ( "R85_DIF2_TEST\n" );
  printf ( "  R85_DIF2 sets up an R85 second difference matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r85_dif2 ( n );

  r85_print ( n, a, "  The R85 second difference matrix:" );

  free ( a );

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

void r85_indicator_test ( )

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

    R85_INDICATOR_TEST tests R85_INDICATOR.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    08 March 2013

  Author:

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

  printf ( "\n" );
  printf ( "R85_INDICATOR_TEST\n" );
  printf ( "  R85_INDICATOR sets up an R85 indicator matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r85_indicator ( n );

  r85_print ( n, a, "  The R85 indicator matrix:" );

  free ( a );

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

void r85_mtv_test ( )

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

    R85_MTV_TEST tests R85_MTV.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    14 July 2016

  Author:

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

  printf ( "\n" );
  printf ( "R85_MTV_TEST\n" );
  printf ( "  R85_MTV computes b=A'*x, where A is an R85 matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r85_indicator ( n );

  r85_print ( n, a, "  The R85 matrix:" );

  x = r8vec_indicator1_new ( n );

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

  b = r85_mtv ( n, a, x );

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

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

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

void r85_mv_test ( )

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

    R85_MV_TEST tests R85_MV.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    14 July 2016

  Author:

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

  printf ( "\n" );
  printf ( "R85_MV_TEST\n" );
  printf ( "  R85_MV computes b=A*x, where A is an R85 matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r85_indicator ( n );

  r85_print ( n, a, "  The R85 matrix:" );

  x = r8vec_indicator1_new ( n );

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

  b = r85_mv ( n, a, x );

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

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

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

void r85_np_fs_test ( )

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

    R85_NP_FS_TEST tests R85_NP_FS.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    08 March 2013

  Author:

    John Burkardt
*/
{
# define N 10

  double *a;
  double *b;
  int i;
  int seed = 123456789;
  double *x;

  printf ( "\n" );
  printf ( "R85_NP_FS_TEST\n" );
  printf ( "  R85_NP_FS factors and solves a pentadiagonal\n" );
  printf ( "  linear system, with no pivoting.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", N );
/*
  Set the matrix to a random value.
*/
  a = r85_random ( N, &seed );

  r85_print ( N, a, "  The pentadiagonal matrix:" );
/*
  Set the desired solution.
*/
  x = r8vec_indicator1_new ( N );
/*
  Compute b = A * x.
*/
  b = r85_mv ( N, a, x );

  r8vec_print ( N, b, "  Right hand side:" );
/*
  Wipe out the solution.
*/
  for ( i = 0; i < N; i++ )
  {
    x[i] = 0.0;
  }
/*
  Solve the system.
*/
  free ( x );
  x = r85_np_fs ( N, a, b );

  r8vec_print ( N, x, "  Solution to A*x=b:" );

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

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

void r85_print_test ( )

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

    R85_PRINT_TEST tests R85_PRINT.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    14 July 2016

  Author:

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

  printf ( "\n" );
  printf ( "R85_PRINT_TEST\n" );
  printf ( "  R85_PRINT prints an R85 matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r85_indicator ( n );

  r85_print ( n, a, "  The R85 matrix:" );

  free ( a );

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

void r85_print_some_test ( )

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

    R85_PRINT_SOME_TEST tests R85_PRINT_SOME.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    14 July 2016

  Author:

    John Burkardt
*/
{
  double *a;
  int n = 8;

  printf ( "\n" );
  printf ( "R85_PRINT_SOME_TEST\n" );
  printf ( "  R85_PRINT_SOME prints some of an R85 matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r85_indicator ( n );

  r85_print_some ( n, a, 1, 2, 5, 4, "  Rows 1-5, Cols 2-4:" );

  free ( a );

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

void r85_random_test ( )

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

    R85_RANDOM_TEST tests R85_RANDOM.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    12 July 2016

  Author:

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

  printf ( "\n" );
  printf ( "R85_RANDOM_TEST\n" );
  printf ( "  R85_RANDOM randomizes an R85 matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  seed = 123456789;
  a = r85_random ( n, &seed );

  r85_print ( n, a, "  The R85 random matrix:" );

  free ( a );

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

void r85_to_r8ge_test ( )

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

    R85_TO_R8GE_TEST tests R85_TO_R8GE.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    14 July 2016

  Author:

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

  printf ( "\n" );
  printf ( "R85_TO_R8GE_TEST\n" );
  printf ( "  R85_TO_R8GE converts an R85 matrix to R8GE format.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r85_indicator ( n );

  r85_print ( n, a, "  The R85 matrix:" );

  a_r8ge = r85_to_r8ge ( n, a );

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

  free ( a );

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

void r85_zeros_test ( )

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

    R85_ZEROS_TEST tests R85_ZEROS.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    12 July 2016

  Author:

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

  printf ( "\n" );
  printf ( "R85_ZEROS_TEST\n" );
  printf ( "  R85_ZEROS zeros an R85 matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r85_zeros ( n );

  r85_print ( n, a, "  The R85 zero matrix:" );

  free ( a );

  return;
}