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

# include "r8but.h"

int main ( );
void test05 ( );
void r8but_det_test ( );
void r8but_indicator_test ( );
void r8but_mtv_test ( );
void r8but_mv_test ( );
void r8but_print_test ( );
void r8but_print_some_test ( );
void r8but_random_test ( );
void r8but_sl_test ( );
void r8but_slt_test ( );
void r8but_to_r8ge_test ( );
void r8but_zeros_test ( );
void timestamp ( );

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

int main ( )

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

    r8but_test() tests r8but().

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    12 October 2015

  Author:

    John Burkardt
*/
{
  timestamp ( );
  printf ( "\n" );
  printf ( "r8but_test():\n" );
  printf ( "  C version\n" );
  printf ( "  Test r8but().\n" );

  r8but_det_test ( );
  r8but_indicator_test ( );
  r8but_mtv_test ( );
  r8but_mv_test ( );
  r8but_print_test ( );
  r8but_print_some_test ( );
  r8but_random_test ( );
  r8but_sl_test ( );
  r8but_slt_test ( );
  r8but_to_r8ge_test ( );
  r8but_zeros_test ( );
/*
  Terminate.
*/
  printf ( "\n" );
  printf ( "r8but_test():\n" );
  printf ( "  Normal end of execution.\n" );
  printf ( "\n" );
  timestamp ( );

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

void r8but_det_test ( )

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

    R8BUT_DET_TEST tests R8BUT_DET.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    08 October 2015

  Author:

    John Burkardt
*/
{
# define MU 3
# define N 5

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

  printf ( "\n" );
  printf ( "R8BUT_DET\n" );
  printf ( "  R8BUT_DET computes the determinant of an R8BUT matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N =     %d\n", N );
  printf ( "  Upper bandwidth MU = %d\n", MU );

  a = r8but_random ( N, MU, &seed );
  r8but_print ( N, MU, a, "  The R8BUT matrix:" );

  det = r8but_det ( N, MU, a );
  printf ( "\n" );
  printf ( "  Determinant = %g\n", det );

  free ( a );

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

void r8but_indicator_test ( )

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

    R8BUT_INDICATOR_TEST tests R8BUT_INDICATOR.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    08 October 2015

  Author:

    John Burkardt
*/
{
# define N 5
# define MU 3

  double *a;

  printf ( "\n" );
  printf ( "R8BUT_INDICATOR_TEST\n" );
  printf ( "  R8BUT_INDICATOR sets an R8BUT indicator matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N     = %d\n", N );
  printf ( "  Upper bandwidth MU = %d\n", MU );
/*
  Set the matrix.
*/
  a = r8but_indicator ( N, MU );

  r8but_print ( N, MU, a, "  The R8BUT matrix:" );

  free ( a );

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

void r8but_mtv_test ( )

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

    R8BUT_MTV_TEST tests R8BUT_MTV.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    12 March 2013

  Author:

    John Burkardt
*/
{
# define MU 3
# define N 5

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

  printf ( "\n" );
  printf ( "R8BUT_MTV_TEST\n" );
  printf ( "  R8BUT_MTV computes b=A'*x, where A is an R8BUT matrix;\n" );
  printf ( "\n" );
  printf ( "  Matrix order N =     %d\n", N );
  printf ( "  Upper bandwidth MU = %d\n", MU );

  a = r8but_random ( N, MU, &seed );
  r8but_print ( N, MU, a, "  The R8BUT matrix:" );
/*
  Set the desired solution.
*/
  x = r8vec_indicator1_new ( N );
  r8vec_print ( N, x, "  x:" );
/*
  Compute the corresponding right hand side.
*/
  b = r8but_mtv ( N, MU, a, x );
  r8vec_print ( N, b, "  b=A'*x:" );

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

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

void r8but_mv_test ( )

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

    R8BUT_MV_TEST tests R8BUT_MV.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    12 March 2013

  Author:

    John Burkardt
*/
{
# define MU 3
# define N 5

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

  printf ( "\n" );
  printf ( "R8BUT_MV_TEST\n" );
  printf ( "  R8BUT_MV computes b=A*x, where A is an R8BUT matrix;\n" );
  printf ( "\n" );
  printf ( "  Matrix order N =     %d\n", N );
  printf ( "  Upper bandwidth MU = %d\n", MU );

  a = r8but_random ( N, MU, &seed );
  r8but_print ( N, MU, a, "  The R8BUT matrix:" );
/*
  Set the desired solution.
*/
  x = r8vec_indicator1_new ( N );
  r8vec_print ( N, x, "  x:" );
/*
  Compute the corresponding right hand side.
*/
  b = r8but_mv ( N, MU, a, x );
  r8vec_print ( N, b, "  b=A*x:" );

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

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

void r8but_print_test ( )

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

    R8BUT_PRINT_TEST tests R8BUT_PRINT.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    08 October 2015

  Author:

    John Burkardt
*/
{
# define N 5
# define MU 3

  double *a;

  printf ( "\n" );
  printf ( "R8BUT_PRINT_TEST\n" );
  printf ( "  R8BUT_PRINT prints an R8BUT matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N     = %d\n", N );
  printf ( "  Upper bandwidth MU = %d\n", MU );
/*
  Set the matrix.
*/
  a = r8but_indicator ( N, MU );

  r8but_print ( N, MU, a, "  The R8BUT matrix:" );

  free ( a );

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

void r8but_print_some_test ( )

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

    R8BUT_PRINT_SOME_TEST tests R8BUT_PRINT_SOME.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    08 October 2015

  Author:

    John Burkardt
*/
{
# define N 5
# define MU 3

  double *a;

  printf ( "\n" );
  printf ( "R8BUT_PRINT_SOME_TEST\n" );
  printf ( "  R8BUT_PRINT_SOME prints some of an R8BUT matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N     = %d\n", N );
  printf ( "  Upper bandwidth MU = %d\n", MU );
/*
  Set the matrix.
*/
  a = r8but_indicator ( N, MU );

  r8but_print_some ( N, MU, a, 1, 2, 4, 4, "  Rows 1:4, Cols 2:4:" );

  free ( a );

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

void r8but_random_test ( )

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

    R8BUT_RANDOM_TEST tests R8BUT_RANDOM.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    08 October 2015

  Author:

    John Burkardt
*/
{
# define MU 3
# define N 5

  double *a;
  int seed = 123456789;

  printf ( "\n" );
  printf ( "R8BUT_RANDOM\n" );
  printf ( "  R8BUT_RANDOM sets a random R8BUT matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N =     %d\n", N );
  printf ( "  Upper bandwidth MU = %d\n", MU );

  a = r8but_random ( N, MU, &seed );

  r8but_print ( N, MU, a, "  The R8BUT matrix:" );

  free ( a );

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

void r8but_sl_test ( )

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

    R8BUT_SL_TEST tests R8BUT_SL.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    08 October 2015

  Author:

    John Burkardt
*/
{
# define MU 3
# define N 5

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

  printf ( "\n" );
  printf ( "R8BUT_SL_TEST\n" );
  printf ( "  R8BUT_SL solves A*x=b, where A is an R8BUT matrix;\n" );
  printf ( "\n" );
  printf ( "  Matrix order N =     %d\n", N );
  printf ( "  Upper bandwidth MU = %d\n", MU );

  a = r8but_random ( N, MU, &seed );
  r8but_print ( N, MU, a, "  The R8BUT matrix:" );
/*
  Set the desired solution.
*/
  x = r8vec_indicator1_new ( N );
  r8vec_print ( N, x, "  x:" );
/*
  Compute the corresponding right hand side.
*/
  b = r8but_mv ( N, MU, a, x );
  r8vec_print ( N, b, "  b=A*x" );
/*
  Solve the linear system.
*/
  free ( x );
  x = r8but_sl ( N, MU, a, b );
  r8vec_print ( N, x, "  x:" );

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

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

void r8but_slt_test ( )

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

    R8BUT_SLT_TEST tests R8BUT_SLT.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    08 October 2015

  Author:

    John Burkardt
*/
{
# define MU 3
# define N 5

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

  printf ( "\n" );
  printf ( "R8BUT_SLT_TEST\n" );
  printf ( "  R8BUT_SLT solves A'*x=b, where A is an R8BUT matrix;\n" );
  printf ( "\n" );
  printf ( "  Matrix order N =     %d\n", N );
  printf ( "  Upper bandwidth MU = %d\n", MU );

  a = r8but_random ( N, MU, &seed );
  r8but_print ( N, MU, a, "  The R8BUT matrix:" );
/*
  Set the desired solution.
*/
  x = r8vec_indicator1_new ( N );
  r8vec_print ( N, x, "  x:" );
/*
  Compute the corresponding right hand side.
*/
  b = r8but_mtv ( N, MU, a, x );
  r8vec_print ( N, b, "  b=A'*x" );
/*
  Solve the linear system.
*/
  free ( x );
  x = r8but_slt ( N, MU, a, b );
  r8vec_print ( N, x, "  x:" );

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

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

void r8but_to_r8ge_test ( )

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

    R8BUT_TO_R8GE_TEST tests R8BUT_TO_R8GE.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    08 October 2015

  Author:

    John Burkardt
*/
{
# define MU 3
# define N 5

  double *a_r8but;
  double *a_r8ge;
  int seed = 123456789;

  printf ( "\n" );
  printf ( "R8BUT_TO_R8GE\n" );
  printf ( "  R8BUT_TO_R8GE converts a matrix from R8BUT to R8GE format.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N =     %d\n", N );
  printf ( "  Upper bandwidth MU = %d\n", MU );

  a_r8but = r8but_random ( N, MU, &seed );

  r8but_print ( N, MU, a_r8but, "  The R8BUT matrix:" );

  a_r8ge = r8but_to_r8ge ( N, MU, a_r8but );

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

  free ( a_r8but );
  free ( a_r8ge );

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

void r8but_zeros_test ( )

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

    R8BUT_ZEROS_TEST tests R8BUT_ZEROS.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    08 October 2015

  Author:

    John Burkardt
*/
{
# define MU 3
# define N 5

  double *a;

  printf ( "\n" );
  printf ( "R8BUT_ZEROS\n" );
  printf ( "  R8BUT_ZEROS zeros an R8BUT matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N =     %d\n", N );
  printf ( "  Upper bandwidth MU = %d\n", MU );

  a = r8but_zeros ( N, MU );

  r8but_print ( N, MU, a, "  The R8BUT matrix:" );

  free ( a );

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

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
}