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

using namespace std;

# include "laplace_radial_exact.hpp"

int main ( );
double r8vec_norm_rms ( int n, double a[] );
void timestamp ( );

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

int main ( )

//****************************************************************************80
//
//  Purpose:
//
//    laplace_radial_exact_test() tests laplace_radial_exact().
//
//  Licensing:
//
//    This code is distributed under the MIT license.
//
//  Modified:
//
//    04 June 2025
//
//  Author:
//
//    John Burkardt
//
{
  double a;
  double b;
  int i;
  int n = 5;
  double *R;
  double *U;
  double *Ux;
  double *Uxx;
  double *Uxy;
  double *Uxz;
  double *Uy;
  double *Uyy;
  double *Uyz;
  double *Uz;
  double *Uzz;
  double *X;
  double *Y;
  double *Z;
  
  timestamp ( );
  cout << "\n";
  cout << "laplace_radial_exact_test():\n";
  cout << "  C++ version\n";
  cout << "  Test laplace_radial_exact().\n";

  srand ( time(0) );

  R = new double[n];
  U = new double[n];
  Ux = new double[n];
  Uxx = new double[n];
  Uxy = new double[n];
  Uxz = new double[n];
  Uy = new double[n];
  Uyy = new double[n];
  Uyz = new double[n];
  Uz = new double[n];
  Uzz = new double[n];
  X = new double[n];
  Y = new double[n];
  Z = new double[n];

  for ( i = 0; i < n; i++ )
  {
    X[i] = drand48 ( );
    Y[i] = drand48 ( );
    Z[i] = drand48 ( );
  }
  a = 1.0;
  b = 2.0;
//
//  2D case.
//
  cout << "\n";
  cout << "  Radial solution in 2D:\n";

  laplace_radial_2d_exact ( n, X, Y, a, b, U, Ux, Uy, Uxx, Uxy, Uyy );

  for ( i = 0; i < n; i++ )
  {
    R[i] = Uxx[i] + Uyy[i];
  }

  cout << "  RMS norm of residuals = " << r8vec_norm_rms ( n, R ) << "\n";
//
//  3D case.
//
  cout << "\n";
  cout << "  Radial solution in 3D:\n";

  laplace_radial_3d_exact ( n, X, Y, Z, a, b, U, Ux, Uy, Uz, Uxx, Uxy, 
    Uxz, Uyy, Uyz, Uzz );

  for ( i = 0; i < n; i++ )
  {
    R[i] = Uxx[i] + Uyy[i] + Uzz[i];
  }

  cout << "  RMS norm of residuals = " << r8vec_norm_rms ( n, R ) << "\n";

  delete [] R;
  delete [] U;
  delete [] Ux;
  delete [] Uxx;
  delete [] Uxy;
  delete [] Uxz;
  delete [] Uy;
  delete [] Uyy;
  delete [] Uyz;
  delete [] Uz;
  delete [] Uzz;
  delete [] X;
  delete [] Y;
  delete [] Z;
//
//  Terminate.
//
  cout << "\n";
  cout << "laplace_radial_exact_test():\n";
  cout << "  Normal end of execution.\n";
  cout << "\n";
  timestamp ( );

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

double r8vec_norm_rms ( int n, double a[] )

//****************************************************************************80
//
//  Purpose:
//
//    r8vec_norm_rms() returns the RMS norm of an R8VEC.
//
//  Discussion:
//
//    An R8VEC is a vector of R8's.
//
//    The vector RMS norm is defined as:
//
//      R8VEC_RMS_NORM = sqrt ( sum ( 1 <= I <= N ) A(I)^2 / N ).
//
//  Licensing:
//
//    This code is distributed under the MIT license.
//
//  Modified:
//
//    26 October 2011
//
//  Author:
//
//    John Burkardt
//
//  Input:
//
//    int N, the number of entries in A.
//
//    double A[N], the vector.
//
//  Output:
//
//    double R8VEC_NORM_RMS, the RMS norm of A.
//
{
  int i;
  double v;

  v = 0.0;

  if ( 0 < n )
  {
    for ( i = 0; i < n; i++ )
    {
      v = v + a[i] * a[i];
    }
    v = sqrt ( v / ( double ) ( n ) );
  }
  return v;
}
//****************************************************************************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
}