# include <cmath>
# include <cstdlib>
# include <ctime>
# include <iomanip>
# include <iostream>

using namespace std;

# include "traveling_wave_exact.hpp"

int main ( );
void traveling_wave_residual_test ( );
double *r8vec_linspace_new ( int n, double a, double b );
void timestamp ( );

//****************************************************************************80

int main ( )

//****************************************************************************80
//
//  Purpose:
//
//    traveling_wave_exact_test() tests traveling_wave_exact().
//
//  Licensing:
//
//    This code is distributed under the MIT license.
//
//  Modified:
//
//    12 April 2025
//
//  Author:
//
//    John Burkardt
//
{
  double a;
  double k;
  double phi;
  double t0;
  double tstop;
  double w;
  double xmax;
  double xmin;

  timestamp ( );

  cout << "\n";
  cout << "traveling_wave_exact_test():\n";
  cout << "  C++ version\n";
  cout << "  Test traveling_wave_exact(),\n";
  cout << "  an exact traveling wave solution of the wave equation.\n";
//
//  Report the current parameter values.
//
  traveling_wave_parameters ( NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL,
    &a, &k, &w, &phi, &xmin, &xmax, &t0, &tstop );

  cout << "\n";
  cout << "  parameters:\n";
  cout << "    a     = " << a << "\n";
  cout << "    k     = " << k << "\n";
  cout << "    w     = " << w << "\n";
  cout << "    phi   = " << phi << "\n";
  cout << "    xmin  = " << xmin << "\n";
  cout << "    xmax  = " << xmax << "\n";
  cout << "    t0    = " << t0 << "\n";
  cout << "    tstop = " << tstop << "\n";

  traveling_wave_residual_test ( );
//
//  Terminate.
//
  cout << "\n";
  cout << "traveling_wave_exact_test():\n";
  cout << "  Normal end of execution.\n";

  timestamp ( );

  return 0;
}
//****************************************************************************80

void traveling_wave_residual_test ( )

//****************************************************************************80
//
//  Purpose:
//
//    traveling_wave_residual_test() tests traveling_wave_residual().
//
//  Licensing:
//
//    This code is distributed under the MIT license.
//
//  Modified:
//
//    12 April 2025
//
//  Author:
//
//    John Burkardt
//
{
  double a;
  int i;
  int j;
  int m;
  int n;
  double k;
  double phi;
  double r;
  double *t;
  double t0;
  double tstop;
  double u;
  double ut;
  double utt;
  double ux;
  double uxx;
  double w;
  double *x;
  double xmax;
  double xmin;

  cout << "\n";
  cout << "traveling_wave_residual_test():\n";
  cout << "  Evaluate solution and residual at selected points (X,T)\n";
  
  traveling_wave_parameters ( NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL,
    &a, &k, &w, &phi, &xmin, &xmax, &t0, &tstop );

  n = 11;
  x = r8vec_linspace_new ( n, xmin, xmax );

  m = 5;
  t = r8vec_linspace_new ( m, t0, tstop );

  cout << "\n";
  cout << "      X       T       U(X,T)      Resid(X,T)\n";
  cout << "\n";
  for ( j = 0; j < m; j++ )
  {
    for ( i = 0; i < n; i++ )
    {
      traveling_wave_exact ( x[i], t[j], u, ut, utt, ux, uxx );
      traveling_wave_residual ( x[i], t[j], r );
      cout << "  " << setw(8) << x[i]
           << "  " << setw(8) << t[j]
           << "  " << setw(10) << u
           << "  " << setw(14) << r << "\n";
    }
    cout << "\n";
  }

  delete [] t;
  delete [] x;

  return;
}
//****************************************************************************80

double *r8vec_linspace_new ( int n, double a_first, double a_last )

//****************************************************************************80
//
//  Purpose:
//
//    r8vec_linspace_new() creates a vector of linearly spaced values.
//
//  Discussion:
//
//    An R8VEC is a vector of R8's.
//
//    4 points evenly spaced between 0 and 12 will yield 0, 4, 8, 12.
//
//    In other words, the interval is divided into N-1 even subintervals,
//    and the endpoints of intervals are used as the points.
//
//  Licensing:
//
//    This code is distributed under the MIT license.
//
//  Modified:
//
//    29 March 2011
//
//  Author:
//
//    John Burkardt
//
//  Input:
//
//    int N, the number of entries in the vector.
//
//    double A_FIRST, A_LAST, the first and last entries.
//
//  Output:
//
//    double R8VEC_LINSPACE_NEW[N], a vector of linearly spaced data.
//
{
  double *a;
  int i;

  a = new double[n];

  if ( n == 1 )
  {
    a[0] = ( a_first + a_last ) / 2.0;
  }
  else
  {
    for ( i = 0; i < n; i++ )
    {
      a[i] = ( ( double ) ( n - 1 - i ) * a_first 
             + ( double ) (         i ) * a_last ) 
             / ( double ) ( n - 1     );
    }
  }
  return a;
}
//****************************************************************************80

void timestamp ( )

//****************************************************************************80
//
//  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:
//
//    19 March 2018
//
//  Author:
//
//    John Burkardt
//
{
# define TIME_SIZE 40

  static char time_buffer[TIME_SIZE];
  const struct std::tm *tm_ptr;
  std::time_t now;

  now = std::time ( NULL );
  tm_ptr = std::localtime ( &now );

  std::strftime ( time_buffer, TIME_SIZE, "%d %B %Y %I:%M:%S %p", tm_ptr );

  std::cout << time_buffer << "\n";

  return;
# undef TIME_SIZE
}