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

# include "r8gd.h"

int main ( );
void r8gd_dif2_test ( );
void r8gd_indicator_test ( );
void r8gd_mtv_test ( );
void r8gd_mv_test ( );
void r8gd_print_test ( );
void r8gd_print_some_test ( );
void r8gd_random_test ( );
void r8gd_to_r8ge_test ( );
void r8gd_zeros_test ( );
void timestamp ( );

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

int main ( )

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

    r8gd_test() tests r8gd().

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    19 July 2016

  Author:

    John Burkardt
*/
{
  timestamp ( );
  printf ( "\n" );
  printf ( "r8gd_test():\n" );
  printf ( "  C version\n" );
  printf ( "  Test r8gd().\n" );

  r8gd_dif2_test ( );
  r8gd_indicator_test ( );
  r8gd_mtv_test ( );
  r8gd_mv_test ( );
  r8gd_print_test ( );
  r8gd_print_some_test ( );
  r8gd_random_test ( );
  r8gd_to_r8ge_test ( );
  r8gd_zeros_test ( );
/*
  Terminate.
*/
  printf ( "\n" );
  printf ( "r8gd_test():\n" );
  printf ( "  Normal end of execution.\n" );
  printf ( "\n" );
  timestamp ( );

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

void r8gd_dif2_test ( )

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

    R8GD_DIF2_TEST tests R8GD_DIF2.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    18 July 2016

  Author:

    John Burkardt
*/
{
  double *a;
  int n = 5;
  int ndiag = 3;
  int offset[3] = { -1, 0, 1 };

  printf ( "\n" );
  printf ( "R8GD_DIF2_TEST\n" );
  printf ( "  R8GD_DIF2 sets up an R8GD second difference matrix;\n" );
  printf ( "\n" );
  printf ( "  Matrix order N            = %d\n", n );
  printf ( "  Number of diagonals NDIAG = %d\n", ndiag );

  i4vec_print ( ndiag, offset, "  The offset vector:" );

  a = r8gd_dif2 ( n, ndiag, offset );

  r8gd_print ( n, ndiag, offset, a, "  The R8GD second difference matrix:" );

  free ( a );

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

void r8gd_indicator_test ( )

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

    R8GD_INDICATOR_TEST tests R8GD_INDICATOR.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    31 March 2013

  Author:

    John Burkardt
*/
{
  double *a;
  int n = 10;
  int ndiag = 4;
  int offset[4] = { -2, 0, 1, 3 };

  printf ( "\n" );
  printf ( "R8GD_INDICATOR_TEST\n" );
  printf ( "  R8GD_INDICATOR sets up an R8GD indicator matrix;\n" );
  printf ( "\n" );
  printf ( "  Matrix order N            = %d\n", n );
  printf ( "  Number of diagonals NDIAG = %d\n", ndiag );

  i4vec_print ( ndiag, offset, "  The offset vector:" );

  a = r8gd_indicator ( n, ndiag, offset );

  r8gd_print ( n, ndiag, offset, a, "  The R8GD indicator matrix:" );

  free ( a );

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

void r8gd_mtv_test ( )

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

    R8GD_MTV_TEST tests R8GD_MTV.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    01 April 2013

  Author:

    John Burkardt
*/
{
# define N 10
# define NDIAG 4

  double *a;
  double *b;
  int offset[NDIAG] = { -2, 0, 1, N-1 };
  int seed = 123456789;
  double *x;

  printf ( "\n" );
  printf ( "R8GD_MTV_TEST\n" );
  printf ( "  R8GD_MTV computes A'*x where A is an R8GD matrix;\n" );
  printf ( "\n" );
  printf ( "  Matrix order N            = %d\n", N );
  printf ( "  Number of diagonals NDIAG = %d\n", NDIAG );

  i4vec_print ( NDIAG, offset, "  The offset vector:" );
/*
  Set the matrix.
*/
  a = r8gd_random ( N, NDIAG, offset, &seed );

  r8ge_print ( N, NDIAG, a, "  The raw matrix: " );

  r8gd_print ( N, NDIAG, offset, a, "  The general diagonal matrix:" );
/*
  Set the desired solution.
*/
  x = r8vec_indicator1_new ( N );
/*
  Compute the corresponding right hand side.
*/
  b = r8gd_mtv ( N, NDIAG, offset, a, x );

  r8vec_print ( N, b, "  A' * x:" );

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

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

void r8gd_mv_test ( )

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

    R8GD_MV_TEST tests R8GD_MV.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    01 April 2013

  Author:

    John Burkardt
*/
{
# define N 10
# define NDIAG 4

  double *a;
  double *b;
  int offset[NDIAG] = { -2, 0, 1, N-1 };
  int seed = 123456789;
  double *x;

  printf ( "\n" );
  printf ( "R8GD_MV_TEST\n" );
  printf ( "  R8GD_MV computes A * x where A is an R8GD matrix;\n" );
  printf ( "\n" );
  printf ( "  Matrix order N            = %d\n", N );
  printf ( "  Number of diagonals NDIAG = %d\n", NDIAG );

  i4vec_print ( NDIAG, offset, "  The offset vector:" );
/*
  Set the matrix.
*/
  a = r8gd_random ( N, NDIAG, offset, &seed );

  r8ge_print ( N, NDIAG, a, "  The raw matrix: " );

  r8gd_print ( N, NDIAG, offset, a, "  The general diagonal matrix:" );
/*
  Set the desired solution.
*/
  x = r8vec_indicator1_new ( N );
/*
  Compute the corresponding right hand side.
*/
  b = r8gd_mv ( N, NDIAG, offset, a, x );

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

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

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

void r8gd_print_test ( )

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

    R8GD_PRINT_TEST tests R8GD_PRINT.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    18 July 2016

  Author:

    John Burkardt
*/
{
  double *a;
  int n = 10;
  int ndiag = 4;
  int offset[4] = { -2, 0, 1, 3 };
  int seed = 123456789;

  printf ( "\n" );
  printf ( "R8GD_PRINT_TEST\n" );
  printf ( "  R8GD_PRINT prints an R8GD matrix;\n" );
  printf ( "\n" );
  printf ( "  Matrix order N            = %d\n", n );
  printf ( "  Number of diagonals NDIAG = %d\n", ndiag );

  i4vec_print ( ndiag, offset, "  The offset vector:" );
/*
  Set the matrix.
*/
  a = r8gd_random ( n, ndiag, offset, &seed );

  r8gd_print ( n, ndiag, offset, a, "  The general diagonal matrix:" );

  free ( a );

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

void r8gd_print_some_test ( )

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

    R8GD_PRINT_SOME_TEST tests R8GD_PRINT_SOME.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    18 July 2016

  Author:

    John Burkardt
*/
{
  double *a;
  int n = 10;
  int ndiag = 4;
  int offset[4] = { -2, 0, 1, 3 };
  int seed = 123456789;

  printf ( "\n" );
  printf ( "R8GD_PRINT_SOME_TEST\n" );
  printf ( "  R8GD_PRINT_SOME prints some of an R8GD matrix;\n" );
  printf ( "\n" );
  printf ( "  Matrix order N            = %d\n", n );
  printf ( "  Number of diagonals NDIAG = %d\n", ndiag );

  i4vec_print ( ndiag, offset, "  The offset vector:" );
/*
  Set the matrix.
*/
  a = r8gd_random ( n, ndiag, offset, &seed );

  r8gd_print_some ( n, ndiag, offset, a, 3, 3, 6, 6, "  Rows 3-6, Cols 3-6:" );

  free ( a );

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

void r8gd_random_test ( )

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

    R8GD_RANDOM_TEST tests R8GD_RANDOM.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    01 April 2013

  Author:

    John Burkardt
*/
{
# define N 10
# define NDIAG 4

  double *a;
  int offset[NDIAG] = { -2, 0, 1, N-1 };
  int seed = 123456789;

  printf ( "\n" );
  printf ( "R8GD_RANDOM_TEST\n" );
  printf ( "  R8GD_RANDOM randomly generates an R8GD matrix;\n" );
  printf ( "\n" );
  printf ( "  Matrix order N            = %d\n", N );
  printf ( "  Number of diagonals NDIAG = %d\n", NDIAG );

  i4vec_print ( NDIAG, offset, "  The offset vector:" );
/*
  Set the matrix.
*/
  a = r8gd_random ( N, NDIAG, offset, &seed );

  r8gd_print ( N, NDIAG, offset, a, "  The general diagonal matrix:" );

  free ( a );

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

void r8gd_to_r8ge_test ( )

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

    R8GD_TO_R8GE_TEST tests R8GD_TO_R8GE.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    31 March 2013

  Author:

    John Burkardt
*/
{
  double *a;
  double *a_r8ge;
  int n = 10;
  int ndiag = 4;
  int offset[4] = { -2, 0, 1, 3 };

  printf ( "\n" );
  printf ( "R8GD_TO_R8GE_TEST\n" );
  printf ( "  R8GD_TO_R8GE converts an R8GD matrix to R8GE format;\n" );
  printf ( "\n" );
  printf ( "  Matrix order N            = %d\n", n );
  printf ( "  Number of diagonals NDIAG = %d\n", ndiag );

  i4vec_print ( ndiag, offset, "  The offset vector:" );

  a = r8gd_indicator ( n, ndiag, offset );

  r8gd_print ( n, ndiag, offset, a, "  The R8GD matrix:" );

  a_r8ge = r8gd_to_r8ge ( n, ndiag, offset, a );

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

  free ( a );
  free ( a_r8ge );

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

void r8gd_zeros_test ( )

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

    R8GD_ZEROS_TEST tests R8GD_ZEROS.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    18 July 2016

  Author:

    John Burkardt
*/
{
  double *a;
  int n = 10;
  int ndiag = 4;
  int offset[4] = { -2, 0, 1, 3 };

  printf ( "\n" );
  printf ( "R8GD_ZEROS_TEST\n" );
  printf ( "  R8GD_ZEROS zeros an R8GD matrix;\n" );
  printf ( "\n" );
  printf ( "  Matrix order N            = %d\n", n );
  printf ( "  Number of diagonals NDIAG = %d\n", ndiag );

  i4vec_print ( ndiag, offset, "  The offset vector:" );

  a = r8gd_zeros ( n, ndiag, offset );

  r8gd_print ( n, ndiag, offset, a, "  The R8GD zero 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
}