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

# include "r8pp.h"

int main ( );
void r8pp_det_test ( );
void r8pp_dif2_test ( );
void r8pp_fa_test ( );
void r8pp_indicator_test ( );
void r8pp_mv_test ( );
void r8pp_print_test ( );
void r8pp_print_some_test ( );
void r8pp_random_test ( );
void r8pp_to_r8ge_test ( );
void r8pp_zeros_test ( );
void r8pp_sl_test ( );
void r8pp_zeros_test ( );

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

int main ( )

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

    MAIN is the main program for R8PP_TEST.

  Discussion:

    R8PP_TEST tests R8PP.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    18 June 2016

  Author:

    John Burkardt
*/
{
  timestamp ( );
  printf ( "\n" );
  printf ( "R8PP_TEST\n" );
  printf ( "  C version\n" );
  printf ( "  Test the R8PP library.\n" );

  r8pp_det_test ( );
  r8pp_dif2_test ( );
  r8pp_fa_test ( );
  r8pp_indicator_test ( );
  r8pp_mv_test ( );
  r8pp_print_test ( );
  r8pp_print_some_test ( );
  r8pp_random_test ( );
  r8pp_sl_test ( );
  r8pp_to_r8ge_test ( );
  r8pp_zeros_test ( );
/*
  Terminate.
*/
  printf ( "\n" );
  printf ( "R8PP_TEST\n" );
  printf ( "  Normal end of execution.\n" );
  printf ( "\n" );
  timestamp ( );

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

void r8pp_det_test ( )

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

    R8PP_DET_TEST tests R8PP_DET.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    14 June 2016

  Author:

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

  printf ( "\n" );
  printf ( "R8PP_DET_TEST\n" );
  printf ( "  R8PP_DET computes the determinant of an R8PP matrix\n" );
  printf ( "  factored by R8PP_FA.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );
/*
  Set the matrix.
*/
  a = r8pp_dif2 ( n );

  r8pp_print ( n, a, "  The R8PP matrix:" );
/*
  Factor the matrix.
*/
  a_lu = r8pp_fa ( n, a );
/*
  Compute the determinant.
*/
  det = r8pp_det ( n, a_lu );

  printf ( "\n" );
  printf ( "  Determinant = %g\n", det );
  printf ( "  Exact determinant = %g\n", ( double ) ( n + 1 ) );

  free ( a );
  free ( a_lu );

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

void r8pp_dif2_test ( )

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

    R8PP_DIF2_TEST tests R8PP_DIF2.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    14 June 2016

  Author:

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

  printf ( "\n" );
  printf ( "R8PP_DIF2_TEST\n" );
  printf ( "  R8PP_DIF2 sets up an R8PP second difference matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r8pp_dif2 ( n );

  r8pp_print ( n, a, "  The R8PP second difference matrix:" );

  free ( a );
 
  return;
}
/******************************************************************************/

void r8pp_fa_test ( )

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

    R8PP_FA_TEST tests R8PP_FA.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    17 April 2013

  Author:

    John Burkardt
*/
{
# define N 5

  double *a;
  double *b;
  int i;
  int info;
  int j;
  double *r;
  int seed = 123456789;
  double *x;

  printf ( "\n" );
  printf ( "R8PP_FA_TEST\n" );
  printf ( "  R8PP_FA factors an R8PP system,\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", N );
/*
  Set the matrix.
*/
  a = r8pp_random ( N, &seed );

  r8pp_print ( N, a, "  The R8PP matrix:" );
/*
  Set the desired solution.
*/
  x = r8vec_indicator1_new ( N );

  r8vec_print ( N, x, "  The desired solution:" );
/*
  Compute the corresponding right hand side.
*/
  b = r8pp_mv ( N, a, x );

  r8vec_print ( N, b, "  The right hand side:" );
/*
  Factor the matrix.
*/
  r = r8pp_fa ( N, a );

  if ( r == NULL )
  {
    printf ( "\n" );
    printf ( "R8PP_FA_TEST - Fatal error!\n" );
    printf ( "  R8PP_FA declares the matrix is singular!\n" );
    return;
  }
  printf ( "\n" );
  printf ( "  The R8PP matrix has been factored.\n" );
/*
  Solve the linear system.
*/
  free ( x );
  x = r8pp_sl ( N, r, b );
 
  r8vec_print ( N, x, "  Solution:" );

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

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

void r8pp_indicator_test ( )

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

    R8PP_INDICATOR_TEST tests R8PP_INDICATOR.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    17 April 2013

  Author:

    John Burkardt
*/
{
# define N 5

  double *a;

  printf ( "\n" );
  printf ( "R8PP_INDICATOR_TEST\n" );
  printf ( "  R8PP_INDICATOR sets up an R8PP indicator matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", N );

  a = r8pp_indicator ( N );

  r8pp_print ( N, a, "  The R8PP indicator matrix:" );
 
  free ( a );

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

void r8pp_mv_test ( )

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

    R8PP_MV_TEST tests R8PP_MV.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    16 June 2016

  Author:

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

  printf ( "\n" );
  printf ( "R8PP_MV_TEST\n" );
  printf ( "  R8PP_MV computes b=A*x, where A is an R8PP matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r8pp_indicator ( n );
  r8pp_print ( n, a, "  The R8PP matrix A:" );

  x = r8vec_indicator1_new ( n );
  r8vec_print ( n, x, "  Vector x:" );

  b = r8pp_mv ( n, a, x );
  r8vec_print ( n, b, "  Product b=A*x:" );

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

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

void r8pp_print_test ( )

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

    R8PP_PRINT_TEST tests R8PP_PRINT.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    14 June 2016

  Author:

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

  printf ( "\n" );
  printf ( "R8PP_PRINT_TEST\n" );
  printf ( "  R8PP_PRINT prints an R8PP matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r8pp_dif2 ( n );

  r8pp_print ( n, a, "  The R8PP matrix:" );

  free ( a );
 
  return;
}
/******************************************************************************/

void r8pp_print_some_test ( )

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

    R8PP_PRINT_SOME_TEST tests R8PP_PRINT_SOME.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    16 June 2016

  Author:

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

  printf ( "\n" );
  printf ( "R8PP_PRINT_SOME_TEST\n" );
  printf ( "  R8PP_PRINT_SOME prints some of an R8PP matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r8pp_indicator ( n );

  r8pp_print_some ( n, a, 1, 2, 5, 4, "  Rows 1-5, Cols 2-4:" );

  free ( a );
 
  return;
}
/******************************************************************************/

void r8pp_random_test ( )

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

    R8PP_RANDOM_TEST tests R8PP_RANDOM.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    17 April 2013

  Author:

    John Burkardt
*/
{
# define N 5

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

  printf ( "\n" );
  printf ( "R8PP_RANDOM_TEST\n" );
  printf ( "  R8PP_RANDOM, compute a random positive definite\n" );
  printf ( "  symmetric packed matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", N );
/*
  Set the matrix.
*/
  a = r8pp_random ( N, &seed );

  r8pp_print ( N, a, "  The matrix (printed by R8PP_PRINT):" );
 
  b = r8pp_to_r8ge ( N, a );

  r8ge_print ( N, N, b, "  The random R8PP matrix (printed by R8GE_PRINT):" );

  free ( a );
  free ( b );

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

void r8pp_sl_test ( )

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

    R8PP_SL_TEST tests R8PP_SL.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    17 April 2013

  Author:

    John Burkardt
*/
{
# define N 5

  double *a;
  double *b;
  int i;
  int info;
  int j;
  double *r;
  int seed = 123456789;
  double *x;

  printf ( "\n" );
  printf ( "R8PP_SL_TEST\n" );
  printf ( "  R8PP_SL solves a linear system factored by R8PP_FA.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", N );
/*
  Set the matrix.
*/
  a = r8pp_random ( N, &seed );

  r8pp_print ( N, a, "  The R8PP matrix:" );
/*
  Set the desired solution.
*/
  x = r8vec_indicator1_new ( N );

  r8vec_print ( N, x, "  The desired solution:" );
/*
  Compute the corresponding right hand side.
*/
  b = r8pp_mv ( N, a, x );

  r8vec_print ( N, b, "  The right hand side:" );
/*
  Factor the matrix.
*/
  r = r8pp_fa ( N, a );

  if ( r == NULL )
  {
    printf ( "\n" );
    printf ( "R8PP_SL_TEST - Fatal error!\n" );
    printf ( "  R8PP_FA declares the matrix is singular!\n" );
    return;
  }
  printf ( "\n" );
  printf ( "  The R8PP matrix has been factored.\n" );
/*
  Solve the linear system.
*/
  free ( x );
  x = r8pp_sl ( N, r, b );
 
  r8vec_print ( N, x, "  Solution:" );

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

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

void r8pp_to_r8ge_test ( )

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

    R8PP_TO_R8GE_TEST tests R8PP_TO_R8GE.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    16 June 2016

  Author:

    John Burkardt
*/
{
# define N 5

  double *a;
  double *a_r8ge;

  printf ( "\n" );
  printf ( "R8PP_TO_R8GE_TEST\n" );
  printf ( "  R8PP_TO_R8GE converts an R8PP matrix to R8GE format.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", N );

  a = r8pp_indicator ( N );

  r8pp_print ( N, a, "  The R8PP indicator matrix:" );
 
  a_r8ge = r8pp_to_r8ge ( N, a );

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

  free ( a );
  free ( a_r8ge );

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

void r8pp_zeros_test ( )

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

    R8PP_ZEROS_TEST tests R8PP_ZEROS.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    14 June 2016

  Author:

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

  printf ( "\n" );
  printf ( "R8PP_ZEROS_TEST\n" );
  printf ( "  R8PP_ZEROS zeros an R8PP matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r8pp_zeros ( n );

  r8pp_print ( n, a, "  The R8PP zero matrix:" );
 
  free ( a );

  return;
}