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

# include "r8ltt.h"

int main ( );
void r8ltt_det_test ( );
void r8ltt_indicator_test ( );
void r8ltt_inverse_test ( );
void r8ltt_mm_test ( );
void r8ltt_mtm_test ( );
void r8ltt_mtv_test ( );
void r8ltt_mv_test ( );
void r8ltt_print_test ( );
void r8ltt_print_some_test ( );
void r8ltt_random_test ( );
void r8ltt_sl_test ( );
void r8ltt_slt_test ( );
void r8ltt_to_r8ge_test ( );
void r8ltt_zeros_test ( );
void timestamp ( );

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

int main ( )

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

    r8ltt_test() tests r8ltt().

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    23 August 2022

  Author:

    John Burkardt
*/
{
  timestamp ( );
  printf ( "\n" );
  printf ( "r8ltt_test():\n" );
  printf ( "  C version\n" );
  printf ( "  Test r8ltt().\n" );

  r8ltt_det_test ( );
  r8ltt_indicator_test ( );
  r8ltt_inverse_test ( );
  r8ltt_mm_test ( );
  r8ltt_mtm_test ( );
  r8ltt_mtv_test ( );
  r8ltt_mv_test ( );
  r8ltt_print_test ( );
  r8ltt_print_some_test ( );
  r8ltt_random_test ( );
  r8ltt_sl_test ( );
  r8ltt_slt_test ( );
  r8ltt_to_r8ge_test ( );
  r8ltt_zeros_test ( );
/*
  Terminate.
*/
  printf ( "\n" );
  printf ( "r8ltt_test():\n" );
  printf ( "  Normal end of execution.\n" );
  printf ( "\n" );
  timestamp ( );

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

void r8ltt_det_test ( )

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

    R8LTT_DET_TEST tests R8LTT_DET.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    19 November 2015

  Author:

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

  printf ( "\n" );
  printf ( "R8LTT_DET_TEST\n" );
  printf ( "  R8LTT_DET computes the determinant of an R8LTT matrix.\n" );

  a = r8ltt_random ( n, &seed );

  r8ltt_print ( n, a, "  The matrix A:" );
/*
  Compute the determinant.
*/
  det = r8ltt_det ( n, a );

  printf ( "\n" );
  printf ( "  Determinant is %g\n", det );

  free ( a );

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

void r8ltt_indicator_test ( )

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

    R8LTT_INDICATOR_TEST tests R8LTT_INDICATOR.

  Licensing:

    This code is distributed under the MIT license.

  Modified:

    19 November 2015

  Author:

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

  printf ( "\n" );
  printf ( "R8LTT_INDICATOR_TEST\n" );
  printf ( "  R8LTT_INDICATOR sets up an indicator matrix in R8LTT format\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r8ltt_indicator ( n );

  r8ltt_print ( n, a, "  The indicator matrix:" );

  free ( a );

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

void r8ltt_inverse_test ( )

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

    R8LTT_INVERSE_TEST tests R8LTT_INVERSE.

  Licensing:

    This code is distributed under the MIT license.

  Modified:

    19 November 2015

  Author:

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

  seed = 123456789;

  printf ( "\n" );
  printf ( "R8LTT_INVERSE_TEST\n" );
  printf ( "  R8LTT_INVERSE computes the inverse of an R8LTT matrix.\n" );

  a = r8ltt_random ( n, &seed );

  r8ltt_print ( n, a, "  The matrix A:" );
/*
  Compute the inverse matrix B.
*/
  b = r8ltt_inverse ( n, a );

  r8ltt_print ( n, b, "  The inverse matrix B:" );
/*
  Check
*/
  c = r8ltt_mm ( n, a, b );

  r8ltt_print ( n, c, "  The product A * B:" );

  free ( a );
  free ( b );
  free ( c );

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

void r8ltt_mm_test ( )

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

    R8LTT_MM_TEST tests R8LTT_MM.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    19 November 2015

  Author:

    John Burkardt
*/
{
  double *a;
  double *a_ge;
  double *b;
  double *b_ge;
  double *c;
  double *c_ge;
  int n = 5;
  int seed;
 
  printf ( "\n" );
  printf ( "R8LTT_MM_TEST\n" );
  printf ( "  R8LTT_MM computes C = A * B for R8LTT matrices.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  seed = 123456789;
  a = r8ltt_random ( n, &seed );
  r8ltt_print ( n, a, "  Factor A:" );
  b = r8ltt_random ( n, &seed );
  r8ltt_print ( n, b, "  Factor B:" );
  c = r8ltt_mm ( n, a, b );
  r8ltt_print ( n, c, "  The product C = A * B" );

  a_ge = r8ltt_to_r8ge ( n, a );
  b_ge = r8ltt_to_r8ge ( n, b );
  c_ge = r8ge_mm ( n, a_ge, b_ge );
  r8ge_print ( n, n, c_ge, "  The R8GE product C:" );

  free ( a );
  free ( a_ge );
  free ( b );
  free ( b_ge );
  free ( c );
  free ( c_ge );

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

void r8ltt_mtm_test ( )

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

    R8LTT_MTM_TEST tests R8LTT_MTM.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    19 November 2015

  Author:

    John Burkardt
*/
{
  double *a;
  double *a_ge;
  double *b;
  double *b_ge;
  double *c_ge;
  int n = 5;
  int seed;

  seed = 123456789;
 
  printf ( "\n" );
  printf ( "R8LTT_MTM_TEST\n" );
  printf ( "  R8LTT_MTM computes C = A' * B for R8LTT matrices.\n" );
 
  a = r8ltt_random ( n, &seed );
  r8ltt_print ( n, a, "  The matrix A:" );
  b = r8ltt_random ( n, &seed );
  r8ltt_print ( n, b, "  The matrix B:" );

  c_ge = r8ltt_mtm ( n, a, b );
  r8ge_print ( n, n, c_ge, "  The product C = A' * B:" );
  free ( c_ge );
/*
  Compare with an R8GE calculation.
*/
  a_ge = r8ltt_to_r8ge ( n, a );
  b_ge = r8ltt_to_r8ge ( n, b );
  c_ge = r8ge_mtm ( n, a_ge, b_ge );
  r8ge_print ( n, n, c_ge, "  The R8GE product C = A' * B:" );

  free ( a );
  free ( a_ge );
  free ( b );
  free ( b_ge );
  free ( c_ge );

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

void r8ltt_mtv_test ( )

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

    R8LTT_MTV_TEST tests R8LTT_MTV.

  Licensing:

    This code is distributed under the MIT license.

  Modified:

    19 November 2015

  Author:

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

  printf ( "\n" );
  printf ( "R8LTT_MTV_TEST\n" );
  printf ( "  R8LTT_MTV computes a matrix product b=A'*x for an R8LTT matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r8ltt_indicator ( n );
  r8ltt_print ( n, a, "  The matrix A:" );

  x = r8vec_indicator1_new ( n );
  r8vec_print ( n, x, "  The vector X:" );

  b = r8ltt_mtv ( n, a, x );
  r8vec_print ( n, b, "  The vector b=A'*x:" );

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

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

void r8ltt_mv_test ( )

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

    R8LTT_MV_TEST tests R8LTT_MV

  Licensing:

    This code is distributed under the MIT license.

  Modified:

    19 November 2015

  Author:

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

  printf ( "\n" );
  printf ( "R8LTT_MV_TEST\n" );
  printf ( "  R8LTT_MV computes a product b=A*x for an R8LTT matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r8ltt_indicator ( n );
  r8ltt_print ( n, a, "  The R8LTT matrix A:" );

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

  b = r8ltt_mv ( n, a, x );
  r8vec_print ( n, b, "  Vector b = A*x:" );

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

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

void r8ltt_print_test ( )

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

    R8LTT_PRINT_TEST tests R8LTT_PRINT.

  Licensing:

    This code is distributed under the MIT license.

  Modified:

    19 November 2015

  Author:

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

  printf ( "\n" );
  printf ( "R8LTT_PRINT_TEST\n" );
  printf ( "  R8LTT_PRINT prints an R8LTT matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r8ltt_indicator ( n );

  r8ltt_print ( n, a, "  The matrix:" );

  free ( a );

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

void r8ltt_print_some_test ( )

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

    R8LTT_PRINT_SOME_TEST tests R8LTT_PRINT_SOME.

  Licensing:

    This code is distributed under the MIT license.

  Modified:

    19 November 2015

  Author:

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

  printf ( "\n" );
  printf ( "R8LTT_PRINT_SOME_TEST\n" );
  printf ( "  R8LTT_PRINT_SOME prints some of an R8LTT matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r8ltt_indicator ( n );

  r8ltt_print_some ( n, a, 1, 0, 4, 3, "  Some of the matrix:" );

  free ( a );

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

void r8ltt_random_test ( )

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

    R8LTT_RANDOM_TEST tests R8LTT_RANDOM.

  Licensing:

    This code is distributed under the MIT license.

  Modified:

    19 November 2015

  Author:

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

  n = 5;
  seed = 123456789;

  printf ( "\n" );
  printf ( "R8LTT_RANDOM_TEST\n" );
  printf ( "  R8LTT_RANDOM randomizes an R8LTT matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r8ltt_random ( n, &seed );

  r8ltt_print ( n, a, "  Matrix A:" );

  free ( a );

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

void r8ltt_sl_test ( )

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

    R8LTT_SL_TEST tests R8LTT_SL.

  Licensing:

    This code is distributed under the MIT license.

  Modified:

    19 November 2015

  Author:

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

  printf ( "\n" );
  printf ( "R8LTT_SL_TEST\n" );
  printf ( "  R8LTT_SL solves a linear system A*x=b with R8LTT matrix\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  seed = 123456789;
  a = r8ltt_random ( n, &seed );

  r8ltt_print ( n, a, "  Matrix A:" );
/*
  Set the desired solution.
*/
  x = r8vec_indicator1_new ( n );
/*
  Compute the corresponding right hand side.
*/
  b = r8ltt_mv ( n, a, x );
  r8vec_print ( n, b, "  Right hand side b:" );
/*
  Solve the linear system.
*/
  x = r8ltt_sl ( n, a, b );

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

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

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

void r8ltt_slt_test ( )

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

    R8LTT_SLT_TEST tests R8LTT_SLT.

  Licensing:

    This code is distributed under the MIT license.

  Modified:

    19 November 2015

  Author:

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

  printf ( "\n" );
  printf ( "R8LTT_SLT_TEST\n" );
  printf ( "  R8LTT_SLT solves a linear system A'x=b with R8LTT matrix\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  seed = 123456789;
  a = r8ltt_random ( n, &seed );

  r8ltt_print ( n, a, "  Matrix A:" );
/*
  Set the desired solution.
*/
  x = r8vec_indicator1_new ( n );
/*
  Compute the corresponding right hand side.
*/
  b = r8ltt_mtv ( n, a, x );

  r8vec_print ( n, b, "  Right hand side b:" );
/*
  Solve the linear system.
*/
  x = r8ltt_slt ( n, a, b );

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

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

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

void r8ltt_to_r8ge_test ( )

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

    R8LTT_TO_R8GE_TEST tests R8LTT_TO_R8GE.

  Licensing:

    This code is distributed under the MIT license.

  Modified:

    19 November 2015

  Author:

    John Burkardt
*/
{
  double *a_ge;
  double *a_utt;
  int n;
  int seed;

  n = 5;
  seed = 123456789;

  printf ( "\n" );
  printf ( "R8LTT_TO_R8GE_TEST\n" );
  printf ( "  R8LTT_TO_R8GE converts an R8LTT matrix to R8GE format.\n" );

  a_utt = r8ltt_random ( n, &seed );

  r8ltt_print ( n, a_utt, "  R8LTT matrix:" );

  a_ge = r8ltt_to_r8ge ( n, a_utt );

  r8ge_print ( n, n, a_ge, "  R8GE matrix" );

  free ( a_ge );
  free ( a_utt );

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

void r8ltt_zeros_test ( )

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

    R8LTT_ZEROS_TEST tests R8LTT_ZEROS.

  Licensing:

    This code is distributed under the MIT license.

  Modified:

    19 November 2015

  Author:

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

  printf ( "\n" );
  printf ( "R8LTT_ZEROS_TEST\n" );
  printf ( "  R8LTT_ZEROS returns a zeroed out R8LTT matrix.\n" );
  printf ( "\n" );
  printf ( "  Matrix order N = %d\n", n );

  a = r8ltt_zeros ( n );

  r8ltt_print ( n, a, "  Matrix A:" );

  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
}